id sid tid token lemma pos bracis-19031 1 1 i2de i2de PROPN bracis-19031 1 2 : : PUNCT bracis-19031 1 3 improved improved ADJ bracis-19031 1 4 interval interval NOUN bracis-19031 1 5 differential differential NOUN bracis-19031 1 6 evolution evolution NOUN bracis-19031 1 7 for for ADP bracis-19031 1 8 numerical numerical ADJ bracis-19031 1 9 constrained constrain VERB bracis-19031 1 10 global global ADJ bracis-19031 1 11 optimization optimization NOUN bracis-19031 1 12 | | NOUN bracis-19031 1 13 springer springer NOUN bracis-19031 1 14 nature nature PROPN bracis-19031 1 15 link link PROPN bracis-19031 1 16 ( ( PUNCT bracis-19031 1 17 formerly formerly ADV bracis-19031 1 18 springerlink springerlink NOUN bracis-19031 1 19 ) ) PUNCT bracis-19031 1 20 skip skip VERB bracis-19031 1 21 to to ADP bracis-19031 1 22 main main ADJ bracis-19031 1 23 content content NOUN bracis-19031 1 24 advertisement advertisement NOUN bracis-19031 1 25 log log NOUN bracis-19031 1 26 in in ADP bracis-19031 1 27 menu menu NOUN bracis-19031 1 28 find find VERB bracis-19031 1 29 a a DET bracis-19031 1 30 journal journal NOUN bracis-19031 1 31 publish publish VERB bracis-19031 1 32 with with ADP bracis-19031 1 33 us we PRON bracis-19031 1 34 track track VERB bracis-19031 1 35 your your PRON bracis-19031 1 36 research research NOUN bracis-19031 1 37 search search NOUN bracis-19031 1 38 cart cart NOUN bracis-19031 1 39 home home NOUN bracis-19031 1 40 intelligent intelligent ADJ bracis-19031 1 41 systems system NOUN bracis-19031 1 42 conference conference NOUN bracis-19031 1 43 paper paper NOUN bracis-19031 1 44 i2de i2de PROPN bracis-19031 1 45 : : PUNCT bracis-19031 1 46 improved improved ADJ bracis-19031 1 47 interval interval NOUN bracis-19031 1 48 differential differential NOUN bracis-19031 1 49 evolution evolution NOUN bracis-19031 1 50 for for ADP bracis-19031 1 51 numerical numerical ADJ bracis-19031 1 52 constrained constrain VERB bracis-19031 1 53 global global ADJ bracis-19031 1 54 optimization optimization NOUN bracis-19031 1 55 conference conference NOUN bracis-19031 1 56 paper paper NOUN bracis-19031 1 57 first first ADV bracis-19031 1 58 online online ADV bracis-19031 1 59 : : PUNCT bracis-19031 1 60 28 28 NUM bracis-19031 1 61 november november NOUN bracis-19031 1 62 2021 2021 NUM bracis-19031 1 63 pp pp CCONJ bracis-19031 1 64 186–201 186–201 NUM bracis-19031 1 65 cite cite VERB bracis-19031 1 66 this this DET bracis-19031 1 67 conference conference NOUN bracis-19031 1 68 paper paper NOUN bracis-19031 1 69 access access NOUN bracis-19031 1 70 provided provide VERB bracis-19031 1 71 by by ADP bracis-19031 1 72 university university PROPN bracis-19031 1 73 of of ADP bracis-19031 1 74 notre notre PROPN bracis-19031 1 75 dame dame PROPN bracis-19031 1 76 hesburgh hesburgh PROPN bracis-19031 1 77 library library PROPN bracis-19031 1 78 download download PROPN bracis-19031 1 79 book book NOUN bracis-19031 1 80 pdf pdf PROPN bracis-19031 1 81 download download NOUN bracis-19031 1 82 book book NOUN bracis-19031 1 83 epub epub PROPN bracis-19031 1 84 intelligent intelligent ADJ bracis-19031 1 85 systems system NOUN bracis-19031 1 86 ( ( PUNCT bracis-19031 1 87 bracis bracis NOUN bracis-19031 1 88 2021 2021 NUM bracis-19031 1 89 ) ) PUNCT bracis-19031 2 1 i2de i2de PROPN bracis-19031 2 2 : : PUNCT bracis-19031 2 3 improved improved ADJ bracis-19031 2 4 interval interval NOUN bracis-19031 2 5 differential differential NOUN bracis-19031 2 6 evolution evolution NOUN bracis-19031 2 7 for for ADP bracis-19031 2 8 numerical numerical ADJ bracis-19031 2 9 constrained constrain VERB bracis-19031 2 10 global global ADJ bracis-19031 2 11 optimization optimization NOUN bracis-19031 2 12 download download NOUN bracis-19031 2 13 book book NOUN bracis-19031 2 14 pdf pdf PROPN bracis-19031 2 15 download download NOUN bracis-19031 2 16 book book PROPN bracis-19031 2 17 epub epub PROPN bracis-19031 2 18 mariane mariane PROPN bracis-19031 2 19 r. r. PROPN bracis-19031 2 20 s. s. PROPN bracis-19031 2 21 cassenote cassenote VERB bracis-19031 2 22     SPACE bracis-19031 2 23 orcid orcid NOUN bracis-19031 2 24 : : PUNCT bracis-19031 2 25 orcid.org/0000-0003-0489-223x10 orcid.org/0000-0003-0489-223x10 PROPN bracis-19031 2 26 , , PUNCT bracis-19031 2 27 guilherme guilherme PROPN bracis-19031 2 28 a. a. PROPN bracis-19031 2 29 derenievicz derenievicz PROPN bracis-19031 2 30     SPACE bracis-19031 2 31 orcid orcid NOUN bracis-19031 2 32 : : PUNCT bracis-19031 2 33 orcid.org/0000-0002-3970-176610 orcid.org/0000-0002-3970-176610 PROPN bracis-19031 2 34 & & CCONJ bracis-19031 2 35 fabiano fabiano PROPN bracis-19031 2 36 silva silva PROPN bracis-19031 2 37     SPACE bracis-19031 2 38 orcid orcid NOUN bracis-19031 2 39 : : PUNCT bracis-19031 2 40 orcid.org/0000-0001-5453-617510 orcid.org/0000-0001-5453-617510 NOUN bracis-19031 2 41     SPACE bracis-19031 2 42 part part NOUN bracis-19031 2 43 of of ADP bracis-19031 2 44 the the DET bracis-19031 2 45 book book NOUN bracis-19031 2 46 series series NOUN bracis-19031 2 47 : : PUNCT bracis-19031 2 48 lecture lecture NOUN bracis-19031 2 49 notes note NOUN bracis-19031 2 50 in in ADP bracis-19031 2 51 computer computer NOUN bracis-19031 2 52 science science NOUN bracis-19031 2 53 ( ( PUNCT bracis-19031 2 54 ( ( PUNCT bracis-19031 2 55 lnai lnai ADJ bracis-19031 2 56 , , PUNCT bracis-19031 2 57 volume volume NOUN bracis-19031 2 58 13073 13073 NUM bracis-19031 2 59 ) ) PUNCT bracis-19031 2 60 ) ) PUNCT bracis-19031 2 61 included include VERB bracis-19031 2 62 in in ADP bracis-19031 2 63 the the DET bracis-19031 2 64 following follow VERB bracis-19031 2 65 conference conference NOUN bracis-19031 2 66 series series NOUN bracis-19031 2 67 : : PUNCT bracis-19031 2 68 brazilian brazilian ADJ bracis-19031 2 69 conference conference NOUN bracis-19031 2 70 on on ADP bracis-19031 2 71 intelligent intelligent ADJ bracis-19031 2 72 systems system NOUN bracis-19031 2 73 735 735 NUM bracis-19031 2 74 accesses access NOUN bracis-19031 2 75 1 1 NUM bracis-19031 2 76 citation citation NOUN bracis-19031 2 77 abstract abstract ADJ bracis-19031 2 78 several several ADJ bracis-19031 2 79 hybrid hybrid ADJ bracis-19031 2 80 approaches approach NOUN bracis-19031 2 81 have have AUX bracis-19031 2 82 been be AUX bracis-19031 2 83 proposed propose VERB bracis-19031 2 84 to to PART bracis-19031 2 85 solve solve VERB bracis-19031 2 86 numerical numerical ADJ bracis-19031 2 87 constrained constrain VERB bracis-19031 2 88 optimization optimization NOUN bracis-19031 2 89 problems problem NOUN bracis-19031 2 90 . . PUNCT bracis-19031 3 1 in in ADP bracis-19031 3 2 this this DET bracis-19031 3 3 paper paper NOUN bracis-19031 3 4 we we PRON bracis-19031 3 5 present present VERB bracis-19031 3 6 an an DET bracis-19031 3 7 improved improved ADJ bracis-19031 3 8 interval interval NOUN bracis-19031 3 9 differential differential NOUN bracis-19031 3 10 evolution evolution NOUN bracis-19031 3 11 ( ( PUNCT bracis-19031 3 12 i2de i2de PROPN bracis-19031 3 13 ) ) PUNCT bracis-19031 3 14 that that PRON bracis-19031 3 15 uses use VERB bracis-19031 3 16 structural structural ADJ bracis-19031 3 17 information information NOUN bracis-19031 3 18 of of ADP bracis-19031 3 19 the the DET bracis-19031 3 20 instance instance NOUN bracis-19031 3 21 during during ADP bracis-19031 3 22 the the DET bracis-19031 3 23 optimization optimization NOUN bracis-19031 3 24 process process NOUN bracis-19031 3 25 . . PUNCT bracis-19031 4 1 we we PRON bracis-19031 4 2 extend extend VERB bracis-19031 4 3 the the DET bracis-19031 4 4 math math NOUN bracis-19031 4 5 operations operation NOUN bracis-19031 4 6 supported support VERB bracis-19031 4 7 by by ADP bracis-19031 4 8 a a DET bracis-19031 4 9 multi multi ADJ bracis-19031 4 10 - - ADJ bracis-19031 4 11 interval interval ADJ bracis-19031 4 12 core core NOUN bracis-19031 4 13 implementation implementation NOUN bracis-19031 4 14 that that PRON bracis-19031 4 15 allows allow VERB bracis-19031 4 16 pruning prune VERB bracis-19031 4 17 infeasible infeasible ADJ bracis-19031 4 18 solutions solution NOUN bracis-19031 4 19 by by ADP bracis-19031 4 20 using use VERB bracis-19031 4 21 local local ADJ bracis-19031 4 22 consistency consistency NOUN bracis-19031 4 23 techniques technique NOUN bracis-19031 4 24 and and CCONJ bracis-19031 4 25 a a DET bracis-19031 4 26 backtrack backtrack NOUN bracis-19031 4 27 - - PUNCT bracis-19031 4 28 free free ADJ bracis-19031 4 29 local local ADJ bracis-19031 4 30 search search NOUN bracis-19031 4 31 . . PUNCT bracis-19031 5 1 furthermore furthermore ADV bracis-19031 5 2 , , PUNCT bracis-19031 5 3 we we PRON bracis-19031 5 4 propose propose VERB bracis-19031 5 5 a a DET bracis-19031 5 6 reformulation reformulation NOUN bracis-19031 5 7 of of ADP bracis-19031 5 8 interval interval NOUN bracis-19031 5 9 evolutionary evolutionary ADJ bracis-19031 5 10 mutation mutation NOUN bracis-19031 5 11 strategies strategy NOUN bracis-19031 5 12 . . PUNCT bracis-19031 6 1 a a DET bracis-19031 6 2 comprehensive comprehensive ADJ bracis-19031 6 3 experimental experimental ADJ bracis-19031 6 4 analysis analysis NOUN bracis-19031 6 5 is be AUX bracis-19031 6 6 conducted conduct VERB bracis-19031 6 7 over over ADP bracis-19031 6 8 coconut coconut NOUN bracis-19031 6 9 and and CCONJ bracis-19031 6 10 cec2018 cec2018 ADJ bracis-19031 6 11 competition competition NOUN bracis-19031 6 12 benchmarks benchmark NOUN bracis-19031 6 13 and and CCONJ bracis-19031 6 14 indicates indicate VERB bracis-19031 6 15 that that SCONJ bracis-19031 6 16 the the DET bracis-19031 6 17 hybridization hybridization NOUN bracis-19031 6 18 between between ADP bracis-19031 6 19 metaheuristics metaheuristic NOUN bracis-19031 6 20 and and CCONJ bracis-19031 6 21 constraint constraint NOUN bracis-19031 6 22 programming programming NOUN bracis-19031 6 23 significantly significantly ADV bracis-19031 6 24 improves improve VERB bracis-19031 6 25 the the DET bracis-19031 6 26 quality quality NOUN bracis-19031 6 27 of of ADP bracis-19031 6 28 the the DET bracis-19031 6 29 solutions solution NOUN bracis-19031 6 30 . . PUNCT bracis-19031 7 1 the the DET bracis-19031 7 2 experimental experimental ADJ bracis-19031 7 3 evaluation evaluation NOUN bracis-19031 7 4 shows show VERB bracis-19031 7 5 that that SCONJ bracis-19031 7 6 our our PRON bracis-19031 7 7 black black ADJ bracis-19031 7 8 - - PUNCT bracis-19031 7 9 box box NOUN bracis-19031 7 10 version version NOUN bracis-19031 7 11 of of ADP bracis-19031 7 12 i2de i2de PROPN bracis-19031 7 13 outperformed outperform VERB bracis-19031 7 14 several several ADJ bracis-19031 7 15 state state NOUN bracis-19031 7 16 - - PUNCT bracis-19031 7 17 of of ADP bracis-19031 7 18 - - PUNCT bracis-19031 7 19 the the DET bracis-19031 7 20 - - PUNCT bracis-19031 7 21 art art NOUN bracis-19031 7 22 solvers solver NOUN bracis-19031 7 23 . . PUNCT bracis-19031 8 1 access access NOUN bracis-19031 8 2 provided provide VERB bracis-19031 8 3 by by ADP bracis-19031 8 4 university university PROPN bracis-19031 8 5 of of ADP bracis-19031 8 6 notre notre PROPN bracis-19031 8 7 dame dame PROPN bracis-19031 8 8 hesburgh hesburgh PROPN bracis-19031 8 9 library library PROPN bracis-19031 8 10 . . PUNCT bracis-19031 9 1 download download PROPN bracis-19031 9 2 conference conference NOUN bracis-19031 9 3 paper paper NOUN bracis-19031 9 4 pdf pdf NOUN bracis-19031 9 5 similar similar ADJ bracis-19031 9 6 content content NOUN bracis-19031 9 7 being be AUX bracis-19031 9 8 viewed view VERB bracis-19031 9 9 by by ADP bracis-19031 9 10 others other NOUN bracis-19031 9 11 interval interval NOUN bracis-19031 9 12 differential differential NOUN bracis-19031 9 13 evolution evolution NOUN bracis-19031 9 14 using use VERB bracis-19031 9 15 structural structural ADJ bracis-19031 9 16 information information NOUN bracis-19031 9 17 of of ADP bracis-19031 9 18 global global ADJ bracis-19031 9 19 optimization optimization NOUN bracis-19031 9 20 problems problem NOUN bracis-19031 9 21 chapter chapter NOUN bracis-19031 9 22 © © PROPN bracis-19031 9 23 2019 2019 NUM bracis-19031 9 24 differential differential NOUN bracis-19031 9 25 evolution evolution NOUN bracis-19031 9 26 improvement improvement NOUN bracis-19031 9 27 by by ADP bracis-19031 9 28 adaptive adaptive ADJ bracis-19031 9 29 ranking ranking NOUN bracis-19031 9 30 - - PUNCT bracis-19031 9 31 based base VERB bracis-19031 9 32 constraint constraint NOUN bracis-19031 9 33 handling handling NOUN bracis-19031 9 34 technique technique NOUN bracis-19031 9 35 article article NOUN bracis-19031 9 36 10 10 NUM bracis-19031 9 37 may may PROPN bracis-19031 9 38 2023 2023 NUM bracis-19031 9 39 development development NOUN bracis-19031 9 40 of of ADP bracis-19031 9 41 metaheuristic metaheuristic ADJ bracis-19031 9 42 interval interval NOUN bracis-19031 9 43 minimization minimization NOUN bracis-19031 9 44 methods method NOUN bracis-19031 9 45 for for ADP bracis-19031 9 46 optimal optimal ADJ bracis-19031 9 47 program program NOUN bracis-19031 9 48 control control NOUN bracis-19031 9 49 design design NOUN bracis-19031 9 50 article article NOUN bracis-19031 9 51 01 01 NUM bracis-19031 9 52 february february PROPN bracis-19031 9 53 2019 2019 NUM bracis-19031 9 54 explore explore VERB bracis-19031 9 55 related relate VERB bracis-19031 9 56 subjects subject NOUN bracis-19031 9 57 discover discover VERB bracis-19031 9 58 the the DET bracis-19031 9 59 latest late ADJ bracis-19031 9 60 articles article NOUN bracis-19031 9 61 , , PUNCT bracis-19031 9 62 books book NOUN bracis-19031 9 63 and and CCONJ bracis-19031 9 64 news news NOUN bracis-19031 9 65 in in ADP bracis-19031 9 66 related related ADJ bracis-19031 9 67 subjects subject NOUN bracis-19031 9 68 , , PUNCT bracis-19031 9 69 suggested suggest VERB bracis-19031 9 70 using use VERB bracis-19031 9 71 machine machine NOUN bracis-19031 9 72 learning learning NOUN bracis-19031 9 73 . . PUNCT bracis-19031 10 1 computer computer NOUN bracis-19031 10 2 - - PUNCT bracis-19031 10 3 aided aid VERB bracis-19031 10 4 engineering engineering NOUN bracis-19031 10 5 ( ( PUNCT bracis-19031 10 6 cad cad PROPN bracis-19031 10 7 , , PUNCT bracis-19031 10 8 cae cae NOUN bracis-19031 10 9 ) ) PUNCT bracis-19031 10 10 and and CCONJ bracis-19031 10 11 design design VERB bracis-19031 10 12 continuous continuous ADJ bracis-19031 10 13 optimization optimization NOUN bracis-19031 10 14 discrete discrete ADJ bracis-19031 10 15 optimization optimization NOUN bracis-19031 10 16 genomic genomic NOUN bracis-19031 10 17 engineering engineering NOUN bracis-19031 10 18 optimization optimization NOUN bracis-19031 10 19 calculus calculus NOUN bracis-19031 10 20 of of ADP bracis-19031 10 21 variations variation NOUN bracis-19031 10 22 and and CCONJ bracis-19031 10 23 optimization optimization NOUN bracis-19031 10 24 1 1 NUM bracis-19031 10 25 introduction introduction NOUN bracis-19031 10 26 in in ADP bracis-19031 10 27 the the DET bracis-19031 10 28 last last ADJ bracis-19031 10 29 few few ADJ bracis-19031 10 30 decades decade NOUN bracis-19031 10 31 , , PUNCT bracis-19031 10 32 interval interval NOUN bracis-19031 10 33 based base VERB bracis-19031 10 34 solvers solver NOUN bracis-19031 10 35 have have AUX bracis-19031 10 36 been be AUX bracis-19031 10 37 used use VERB bracis-19031 10 38 to to PART bracis-19031 10 39 tackle tackle VERB bracis-19031 10 40 numerical numerical ADJ bracis-19031 10 41 constrained constrain VERB bracis-19031 10 42 global global ADJ bracis-19031 10 43 optimization optimization NOUN bracis-19031 10 44 problems problem NOUN bracis-19031 10 45 ( ( PUNCT bracis-19031 10 46 ncop ncop NOUN bracis-19031 10 47 ) ) PUNCT bracis-19031 10 48 in in ADP bracis-19031 10 49 a a DET bracis-19031 10 50 rigorously rigorously ADV bracis-19031 10 51 way way NOUN bracis-19031 10 52     SPACE bracis-19031 11 1 [ [ X bracis-19031 11 2 1 1 NUM bracis-19031 11 3 ] ] PUNCT bracis-19031 11 4 . . PUNCT bracis-19031 12 1 in in ADP bracis-19031 12 2 general general ADJ bracis-19031 12 3 , , PUNCT bracis-19031 12 4 such such ADJ bracis-19031 12 5 methods method NOUN bracis-19031 12 6 are be AUX bracis-19031 12 7 composed compose VERB bracis-19031 12 8 by by ADP bracis-19031 12 9 a a DET bracis-19031 12 10 complete complete ADJ bracis-19031 12 11 investigation investigation NOUN bracis-19031 12 12 of of ADP bracis-19031 12 13 the the DET bracis-19031 12 14 search search NOUN bracis-19031 12 15 space space NOUN bracis-19031 12 16 , , PUNCT bracis-19031 12 17 using use VERB bracis-19031 12 18 the the DET bracis-19031 12 19 structure structure NOUN bracis-19031 12 20 of of ADP bracis-19031 12 21 the the DET bracis-19031 12 22 problem problem NOUN bracis-19031 12 23 and and CCONJ bracis-19031 12 24 consistency consistency NOUN bracis-19031 12 25 techniques technique NOUN bracis-19031 12 26 from from ADP bracis-19031 12 27 the the DET bracis-19031 12 28 constraint constraint NOUN bracis-19031 12 29 programming programming NOUN bracis-19031 12 30 field field NOUN bracis-19031 12 31 to to PART bracis-19031 12 32 prune prune VERB bracis-19031 12 33 infeasible infeasible ADJ bracis-19031 12 34 solutions solution NOUN bracis-19031 12 35 . . PUNCT bracis-19031 13 1 despite despite SCONJ bracis-19031 13 2 the the DET bracis-19031 13 3 great great ADJ bracis-19031 13 4 progress progress NOUN bracis-19031 13 5 of of ADP bracis-19031 13 6 interval interval NOUN bracis-19031 13 7 techniques technique NOUN bracis-19031 13 8 , , PUNCT bracis-19031 13 9 such such ADJ bracis-19031 13 10 methods method NOUN bracis-19031 13 11 remain remain VERB bracis-19031 13 12 impractical impractical ADJ bracis-19031 13 13 in in ADP bracis-19031 13 14 instances instance NOUN bracis-19031 13 15 with with ADP bracis-19031 13 16 a a DET bracis-19031 13 17 large large ADJ bracis-19031 13 18 number number NOUN bracis-19031 13 19 of of ADP bracis-19031 13 20 dimensions dimension NOUN bracis-19031 13 21 . . PUNCT bracis-19031 14 1 on on ADP bracis-19031 14 2 the the DET bracis-19031 14 3 other other ADJ bracis-19031 14 4 hand hand NOUN bracis-19031 14 5 , , PUNCT bracis-19031 14 6 differential differential ADJ bracis-19031 14 7 evolution evolution NOUN bracis-19031 14 8 ( ( PUNCT bracis-19031 14 9 de de X bracis-19031 14 10 ) ) PUNCT bracis-19031 14 11 has have AUX bracis-19031 14 12 become become VERB bracis-19031 14 13 one one NUM bracis-19031 14 14 of of ADP bracis-19031 14 15 the the DET bracis-19031 14 16 most most ADV bracis-19031 14 17 used used ADJ bracis-19031 14 18 evolutionary evolutionary ADJ bracis-19031 14 19 algorithms algorithm NOUN bracis-19031 14 20 to to PART bracis-19031 14 21 deal deal VERB bracis-19031 14 22 with with ADP bracis-19031 14 23 large large ADJ bracis-19031 14 24 global global ADJ bracis-19031 14 25 optimization optimization NOUN bracis-19031 14 26 problems problem NOUN bracis-19031 14 27 , , PUNCT bracis-19031 14 28 due due ADP bracis-19031 14 29 to to ADP bracis-19031 14 30 its its PRON bracis-19031 14 31 performance performance NOUN bracis-19031 14 32 and and CCONJ bracis-19031 14 33 simplicity simplicity NOUN bracis-19031 14 34     SPACE bracis-19031 14 35 [ [ X bracis-19031 14 36 3 3 NUM bracis-19031 14 37 , , PUNCT bracis-19031 14 38 4 4 NUM bracis-19031 14 39 , , PUNCT bracis-19031 14 40 20 20 NUM bracis-19031 14 41 ] ] PUNCT bracis-19031 14 42 . . PUNCT bracis-19031 15 1 as as SCONJ bracis-19031 15 2 opposed oppose VERB bracis-19031 15 3 to to ADP bracis-19031 15 4 interval interval NOUN bracis-19031 15 5 algorithms algorithm NOUN bracis-19031 15 6 , , PUNCT bracis-19031 15 7 de de X bracis-19031 15 8 based base VERB bracis-19031 15 9 solvers solver NOUN bracis-19031 15 10 are be AUX bracis-19031 15 11 fast fast ADJ bracis-19031 15 12 , , PUNCT bracis-19031 15 13 but but CCONJ bracis-19031 15 14 do do AUX bracis-19031 15 15 not not PART bracis-19031 15 16 guarantee guarantee VERB bracis-19031 15 17 the the DET bracis-19031 15 18 global global ADJ bracis-19031 15 19 optimality optimality NOUN bracis-19031 15 20 . . PUNCT bracis-19031 16 1 also also ADV bracis-19031 16 2 , , PUNCT bracis-19031 16 3 de de X bracis-19031 16 4 uses use VERB bracis-19031 16 5 the the DET bracis-19031 16 6 instance instance NOUN bracis-19031 16 7 as as ADP bracis-19031 16 8 a a DET bracis-19031 16 9 black black ADJ bracis-19031 16 10 - - PUNCT bracis-19031 16 11 box box NOUN bracis-19031 16 12 model model NOUN bracis-19031 16 13 , , PUNCT bracis-19031 16 14 where where SCONJ bracis-19031 16 15 its its PRON bracis-19031 16 16 structure structure NOUN bracis-19031 16 17 is be AUX bracis-19031 16 18 unknown unknown ADJ bracis-19031 16 19 . . PUNCT bracis-19031 17 1 a a DET bracis-19031 17 2 promising promising ADJ bracis-19031 17 3 strategy strategy NOUN bracis-19031 17 4 to to PART bracis-19031 17 5 handle handle VERB bracis-19031 17 6 with with ADP bracis-19031 17 7 ncops ncop NOUN bracis-19031 17 8 is be AUX bracis-19031 17 9 the the DET bracis-19031 17 10 hybrid hybrid ADJ bracis-19031 17 11 approach approach NOUN bracis-19031 17 12 , , PUNCT bracis-19031 17 13 where where SCONJ bracis-19031 17 14 different different ADJ bracis-19031 17 15 methods method NOUN bracis-19031 17 16 are be AUX bracis-19031 17 17 combined combine VERB bracis-19031 17 18     SPACE bracis-19031 18 1 [ [ X bracis-19031 18 2 26 26 NUM bracis-19031 18 3 ] ] PUNCT bracis-19031 18 4 . . PUNCT bracis-19031 19 1 in in ADP bracis-19031 19 2 this this DET bracis-19031 19 3 context context NOUN bracis-19031 19 4 , , PUNCT bracis-19031 19 5 the the DET bracis-19031 19 6 solver solver ADJ bracis-19031 19 7 interval interval NOUN bracis-19031 19 8 differential differential NOUN bracis-19031 19 9 evolution evolution NOUN bracis-19031 19 10 ( ( PUNCT bracis-19031 19 11 inde inde PROPN bracis-19031 19 12 ) ) PUNCT bracis-19031 19 13 was be AUX bracis-19031 19 14 proposed propose VERB bracis-19031 19 15     SPACE bracis-19031 20 1 [ [ X bracis-19031 20 2 5 5 NUM bracis-19031 20 3 ] ] PUNCT bracis-19031 20 4 . . PUNCT bracis-19031 21 1 this this DET bracis-19031 21 2 method method NOUN bracis-19031 21 3 integrates integrate VERB bracis-19031 21 4 the the DET bracis-19031 21 5 usual usual ADJ bracis-19031 21 6 de de ADJ bracis-19031 21 7 approach approach NOUN bracis-19031 21 8 with with ADP bracis-19031 21 9 an an DET bracis-19031 21 10 interval interval NOUN bracis-19031 21 11 solver solver NOUN bracis-19031 21 12 called call VERB bracis-19031 21 13 relaxed relaxed ADJ bracis-19031 21 14 global global ADJ bracis-19031 21 15 optimization optimization NOUN bracis-19031 21 16 ( ( PUNCT bracis-19031 21 17 ogre ogre NOUN bracis-19031 21 18 ) ) PUNCT bracis-19031 21 19     SPACE bracis-19031 22 1 [ [ X bracis-19031 22 2 8 8 NUM bracis-19031 22 3 ] ] PUNCT bracis-19031 22 4 . . PUNCT bracis-19031 23 1 this this DET bracis-19031 23 2 solver solver NOUN bracis-19031 23 3 uses use VERB bracis-19031 23 4 a a DET bracis-19031 23 5 structural structural ADJ bracis-19031 23 6 decomposition decomposition NOUN bracis-19031 23 7 of of ADP bracis-19031 23 8 the the DET bracis-19031 23 9 ncop ncop PROPN bracis-19031 23 10 instance instance PROPN bracis-19031 23 11 to to PART bracis-19031 23 12 identify identify VERB bracis-19031 23 13 the the DET bracis-19031 23 14 amount amount NOUN bracis-19031 23 15 of of ADP bracis-19031 23 16 local local ADJ bracis-19031 23 17 consistency consistency NOUN bracis-19031 23 18 that that PRON bracis-19031 23 19 guarantees guarantee VERB bracis-19031 23 20 a a DET bracis-19031 23 21 backtrack backtrack NOUN bracis-19031 23 22 - - PUNCT bracis-19031 23 23 free free ADJ bracis-19031 23 24 optimization optimization NOUN bracis-19031 23 25 . . PUNCT bracis-19031 24 1 although although SCONJ bracis-19031 24 2 this this PRON bracis-19031 24 3 is be AUX bracis-19031 24 4 a a DET bracis-19031 24 5 strong strong ADJ bracis-19031 24 6 theoretical theoretical ADJ bracis-19031 24 7 result result NOUN bracis-19031 24 8 , , PUNCT bracis-19031 24 9 achieving achieve VERB bracis-19031 24 10 this this DET bracis-19031 24 11 amount amount NOUN bracis-19031 24 12 of of ADP bracis-19031 24 13 local local ADJ bracis-19031 24 14 consistency consistency NOUN bracis-19031 24 15 can can AUX bracis-19031 24 16 be be AUX bracis-19031 24 17 an an DET bracis-19031 24 18 intractable intractable ADJ bracis-19031 24 19 problem problem NOUN bracis-19031 24 20 . . PUNCT bracis-19031 25 1 therefore therefore ADV bracis-19031 25 2 , , PUNCT bracis-19031 25 3 ogre ogre NOUN bracis-19031 25 4 uses use VERB bracis-19031 25 5 an an DET bracis-19031 25 6 interval interval NOUN bracis-19031 25 7 branch branch NOUN bracis-19031 25 8 & & CCONJ bracis-19031 25 9 bound bind VERB bracis-19031 25 10 ( ( PUNCT bracis-19031 25 11 ib&b ib&b PROPN bracis-19031 25 12 ) ) PUNCT bracis-19031 25 13 method method NOUN bracis-19031 25 14 to to PART bracis-19031 25 15 tackle tackle VERB bracis-19031 25 16 a a DET bracis-19031 25 17 relaxed relaxed ADJ bracis-19031 25 18 form form NOUN bracis-19031 25 19 of of ADP bracis-19031 25 20 the the DET bracis-19031 25 21 instance instance NOUN bracis-19031 25 22 . . PUNCT bracis-19031 26 1 thus thus ADV bracis-19031 26 2 , , PUNCT bracis-19031 26 3 the the DET bracis-19031 26 4 solution solution NOUN bracis-19031 26 5 found find VERB bracis-19031 26 6 by by ADP bracis-19031 26 7 ogre ogre NOUN bracis-19031 26 8 may may AUX bracis-19031 26 9 be be AUX bracis-19031 26 10 infeasible infeasible ADJ bracis-19031 26 11 on on ADP bracis-19031 26 12 the the DET bracis-19031 26 13 original original ADJ bracis-19031 26 14 ncop ncop PROPN bracis-19031 26 15 instance instance NOUN bracis-19031 26 16 . . PUNCT bracis-19031 27 1 moreover moreover ADV bracis-19031 27 2 , , PUNCT bracis-19031 27 3 the the DET bracis-19031 27 4 computational computational ADJ bracis-19031 27 5 cost cost NOUN bracis-19031 27 6 of of ADP bracis-19031 27 7 the the DET bracis-19031 27 8 ib&b ib&b PROPN bracis-19031 27 9 is be AUX bracis-19031 27 10 prohibitive prohibitive ADJ bracis-19031 27 11 . . PUNCT bracis-19031 28 1 the the DET bracis-19031 28 2 inde inde PROPN bracis-19031 28 3 solver solver VERB bracis-19031 28 4 extended extend VERB bracis-19031 28 5 usual usual ADJ bracis-19031 28 6 de de X bracis-19031 28 7 operators operator NOUN bracis-19031 28 8 to to ADP bracis-19031 28 9 the the DET bracis-19031 28 10 interval interval NOUN bracis-19031 28 11 context context NOUN bracis-19031 28 12 , , PUNCT bracis-19031 28 13 using use VERB bracis-19031 28 14 ogre ogre NOUN bracis-19031 28 15 ’s ’s PART bracis-19031 28 16 core core NOUN bracis-19031 28 17 to to PART bracis-19031 28 18 select select VERB bracis-19031 28 19 a a DET bracis-19031 28 20 subset subset NOUN bracis-19031 28 21 of of ADP bracis-19031 28 22 variables variable NOUN bracis-19031 28 23 on on ADP bracis-19031 28 24 which which PRON bracis-19031 28 25 the the DET bracis-19031 28 26 search search NOUN bracis-19031 28 27 process process NOUN bracis-19031 28 28 will will AUX bracis-19031 28 29 occur occur VERB bracis-19031 28 30 , , PUNCT bracis-19031 28 31 whilst whilst SCONJ bracis-19031 28 32 the the DET bracis-19031 28 33 others other NOUN bracis-19031 28 34 are be AUX bracis-19031 28 35 valuated valuate VERB bracis-19031 28 36 by by ADP bracis-19031 28 37 constraint constraint NOUN bracis-19031 28 38 propagation propagation NOUN bracis-19031 28 39 . . PUNCT bracis-19031 29 1 in in ADP bracis-19031 29 2 addition addition NOUN bracis-19031 29 3 , , PUNCT bracis-19031 29 4 local local ADJ bracis-19031 29 5 consistency consistency NOUN bracis-19031 29 6 techniques technique NOUN bracis-19031 29 7 are be AUX bracis-19031 29 8 applied apply VERB bracis-19031 29 9 to to ADP bracis-19031 29 10 prune prune NOUN bracis-19031 29 11 infeasible infeasible ADJ bracis-19031 29 12 solutions solution NOUN bracis-19031 29 13 . . PUNCT bracis-19031 30 1 by by ADP bracis-19031 30 2 combining combine VERB bracis-19031 30 3 theses thesis NOUN bracis-19031 30 4 techniques technique NOUN bracis-19031 30 5 , , PUNCT bracis-19031 30 6 inde inde PROPN bracis-19031 30 7 outperformed outperform VERB bracis-19031 30 8 ogre ogre NOUN bracis-19031 30 9     SPACE bracis-19031 31 1 [ [ X bracis-19031 31 2 5 5 NUM bracis-19031 31 3 ] ] PUNCT bracis-19031 31 4 . . PUNCT bracis-19031 32 1 in in ADP bracis-19031 32 2 this this DET bracis-19031 32 3 work work NOUN bracis-19031 32 4 , , PUNCT bracis-19031 32 5 we we PRON bracis-19031 32 6 present present VERB bracis-19031 32 7 the the DET bracis-19031 32 8 improved improved ADJ bracis-19031 32 9 interval interval NOUN bracis-19031 32 10 differential differential NOUN bracis-19031 32 11 evolution evolution NOUN bracis-19031 32 12 ( ( PUNCT bracis-19031 32 13 i2de i2de PROPN bracis-19031 32 14 ) ) PUNCT bracis-19031 32 15 solver solver ADV bracis-19031 32 16 . . PUNCT bracis-19031 33 1 we we PRON bracis-19031 33 2 extend extend VERB bracis-19031 33 3 inde inde NOUN bracis-19031 33 4 and and CCONJ bracis-19031 33 5 the the DET bracis-19031 33 6 operators operator NOUN bracis-19031 33 7 supported support VERB bracis-19031 33 8 by by ADP bracis-19031 33 9 the the DET bracis-19031 33 10 ogre ogre NOUN bracis-19031 33 11 ’s ’s PART bracis-19031 33 12 multi multi ADJ bracis-19031 33 13 - - ADJ bracis-19031 33 14 interval interval ADJ bracis-19031 33 15 core core NOUN bracis-19031 33 16 , , PUNCT bracis-19031 33 17 which which PRON bracis-19031 33 18 allows allow VERB bracis-19031 33 19 us we PRON bracis-19031 33 20 to to PART bracis-19031 33 21 tackle tackle VERB bracis-19031 33 22 a a DET bracis-19031 33 23 greater great ADJ bracis-19031 33 24 diversity diversity NOUN bracis-19031 33 25 of of ADP bracis-19031 33 26 benchmark benchmark NOUN bracis-19031 33 27 functions function NOUN bracis-19031 33 28 and and CCONJ bracis-19031 33 29 real real ADJ bracis-19031 33 30 - - PUNCT bracis-19031 33 31 world world NOUN bracis-19031 33 32 problems problem NOUN bracis-19031 33 33 . . PUNCT bracis-19031 34 1 moreover moreover ADV bracis-19031 34 2 , , PUNCT bracis-19031 34 3 we we PRON bracis-19031 34 4 present present VERB bracis-19031 34 5 improved improved ADJ bracis-19031 34 6 versions version NOUN bracis-19031 34 7 of of ADP bracis-19031 34 8 three three NUM bracis-19031 34 9 interval interval NOUN bracis-19031 34 10 evolutionary evolutionary ADJ bracis-19031 34 11 mutation mutation NOUN bracis-19031 34 12 operations operation NOUN bracis-19031 34 13 and and CCONJ bracis-19031 34 14 incorporate incorporate VERB bracis-19031 34 15 several several ADJ bracis-19031 34 16 heuristics heuristic NOUN bracis-19031 34 17 of of ADP bracis-19031 34 18 state state NOUN bracis-19031 34 19 - - PUNCT bracis-19031 34 20 of of ADP bracis-19031 34 21 - - PUNCT bracis-19031 34 22 the the DET bracis-19031 34 23 - - PUNCT bracis-19031 34 24 art art NOUN bracis-19031 34 25 solvers solver NOUN bracis-19031 34 26 . . PUNCT bracis-19031 35 1 an an DET bracis-19031 35 2 extensive extensive ADJ bracis-19031 35 3 experimental experimental ADJ bracis-19031 35 4 analysis analysis NOUN bracis-19031 35 5 performed perform VERB bracis-19031 35 6 over over ADP bracis-19031 35 7 the the DET bracis-19031 35 8 coconut coconut NOUN bracis-19031 35 9     SPACE bracis-19031 36 1 [ [ X bracis-19031 36 2 19 19 NUM bracis-19031 36 3 ] ] PUNCT bracis-19031 36 4 and and CCONJ bracis-19031 36 5 cec2018 cec2018 ADJ bracis-19031 36 6 competition competition NOUN bracis-19031 36 7 on on ADP bracis-19031 36 8 constrained constrain VERB bracis-19031 36 9 real real ADJ bracis-19031 36 10 - - PUNCT bracis-19031 36 11 parameter parameter NOUN bracis-19031 36 12 optimization optimization NOUN bracis-19031 36 13     SPACE bracis-19031 37 1 [ [ X bracis-19031 37 2 27 27 NUM bracis-19031 37 3 ] ] PUNCT bracis-19031 37 4 benchmarks benchmark NOUN bracis-19031 37 5 reveals reveal VERB bracis-19031 37 6 that that SCONJ bracis-19031 37 7 our our PRON bracis-19031 37 8 i2de i2de PROPN bracis-19031 37 9 significantly significantly ADV bracis-19031 37 10 outperforms outperform VERB bracis-19031 37 11 inde inde PROPN bracis-19031 37 12 , , PUNCT bracis-19031 37 13 ogre ogre NOUN bracis-19031 37 14 and and CCONJ bracis-19031 37 15 a a DET bracis-19031 37 16 black black ADJ bracis-19031 37 17 - - PUNCT bracis-19031 37 18 box box NOUN bracis-19031 37 19 version version NOUN bracis-19031 37 20 of of ADP bracis-19031 37 21 i2de i2de PROPN bracis-19031 37 22 , , PUNCT bracis-19031 37 23 which which PRON bracis-19031 37 24 suggests suggest VERB bracis-19031 37 25 that that SCONJ bracis-19031 37 26 hybridization hybridization NOUN bracis-19031 37 27 between between ADP bracis-19031 37 28 metaheuristics metaheuristic NOUN bracis-19031 37 29 and and CCONJ bracis-19031 37 30 structural structural ADJ bracis-19031 37 31 decomposition decomposition NOUN bracis-19031 37 32 is be AUX bracis-19031 37 33 a a DET bracis-19031 37 34 promising promising ADJ bracis-19031 37 35 research research NOUN bracis-19031 37 36 direction direction NOUN bracis-19031 37 37 . . PUNCT bracis-19031 38 1 furthermore furthermore ADV bracis-19031 38 2 , , PUNCT bracis-19031 38 3 our our PRON bracis-19031 38 4 black black NOUN bracis-19031 38 5 - - PUNCT bracis-19031 38 6 box box NOUN bracis-19031 38 7 solver solver NOUN bracis-19031 38 8 outperformed outperform VERB bracis-19031 38 9 several several ADJ bracis-19031 38 10 state state NOUN bracis-19031 38 11 - - PUNCT bracis-19031 38 12 of of ADP bracis-19031 38 13 - - PUNCT bracis-19031 38 14 the the DET bracis-19031 38 15 - - PUNCT bracis-19031 38 16 art art NOUN bracis-19031 38 17 metaheuristic metaheuristic ADJ bracis-19031 38 18 solvers solver NOUN bracis-19031 38 19 . . PUNCT bracis-19031 39 1 the the DET bracis-19031 39 2 remaining remain VERB bracis-19031 39 3 of of ADP bracis-19031 39 4 this this DET bracis-19031 39 5 paper paper NOUN bracis-19031 39 6 is be AUX bracis-19031 39 7 organized organize VERB bracis-19031 39 8 as as SCONJ bracis-19031 39 9 follows follow VERB bracis-19031 39 10 : : PUNCT bracis-19031 39 11 sect sect NOUN bracis-19031 39 12 . . PUNCT bracis-19031 39 13     SPACE bracis-19031 40 1 2 2 NUM bracis-19031 40 2 contains contain VERB bracis-19031 40 3 background background NOUN bracis-19031 40 4 definitions definition NOUN bracis-19031 40 5 of of ADP bracis-19031 40 6 interval interval NOUN bracis-19031 40 7 methods method NOUN bracis-19031 40 8 and and CCONJ bracis-19031 40 9 metaheuristics metaheuristic NOUN bracis-19031 40 10 . . PUNCT bracis-19031 41 1 section section NOUN bracis-19031 41 2     SPACE bracis-19031 41 3 3 3 NUM bracis-19031 41 4 provides provide VERB bracis-19031 41 5 details detail NOUN bracis-19031 41 6 of of ADP bracis-19031 41 7 i2de i2de PROPN bracis-19031 41 8 ’s ’s PART bracis-19031 41 9 features feature NOUN bracis-19031 41 10 and and CCONJ bracis-19031 41 11 the the DET bracis-19031 41 12 main main ADJ bracis-19031 41 13 improvements improvement NOUN bracis-19031 41 14 compared compare VERB bracis-19031 41 15 to to ADP bracis-19031 41 16 inde inde PROPN bracis-19031 41 17 . . PUNCT bracis-19031 42 1 the the DET bracis-19031 42 2 experimental experimental ADJ bracis-19031 42 3 analysis analysis NOUN bracis-19031 42 4 is be AUX bracis-19031 42 5 presented present VERB bracis-19031 42 6 in in ADP bracis-19031 42 7 sect sect NOUN bracis-19031 42 8 . . PUNCT bracis-19031 42 9     SPACE bracis-19031 43 1 4 4 NUM bracis-19031 43 2 and and CCONJ bracis-19031 43 3 sect sect NOUN bracis-19031 43 4 . . PUNCT bracis-19031 43 5     SPACE bracis-19031 44 1 5 5 NUM bracis-19031 44 2 concludes conclude VERB bracis-19031 44 3 this this DET bracis-19031 44 4 work work NOUN bracis-19031 44 5 . . PUNCT bracis-19031 45 1 2 2 NUM bracis-19031 45 2 background background NOUN bracis-19031 45 3 a a DET bracis-19031 45 4 numerical numerical ADJ bracis-19031 45 5 constrained constrain VERB bracis-19031 45 6 global global ADJ bracis-19031 45 7 optimization optimization NOUN bracis-19031 45 8 problem problem NOUN bracis-19031 45 9 ( ( PUNCT bracis-19031 45 10 ncop ncop NOUN bracis-19031 45 11 ) ) PUNCT bracis-19031 45 12 consists consist VERB bracis-19031 45 13 of of ADP bracis-19031 45 14 finding find VERB bracis-19031 45 15 an an DET bracis-19031 45 16 assignment assignment NOUN bracis-19031 45 17 of of ADP bracis-19031 45 18 values value NOUN bracis-19031 45 19 to to ADP bracis-19031 45 20 a a DET bracis-19031 45 21 set set NOUN bracis-19031 45 22 of of ADP bracis-19031 45 23 variables variable NOUN bracis-19031 45 24 \(v \(v X bracis-19031 46 1 = = SYM bracis-19031 46 2 \{x_1 \{x_1 PROPN bracis-19031 46 3 , , PUNCT bracis-19031 46 4 x_2 x_2 PROPN bracis-19031 46 5 , , PUNCT bracis-19031 46 6 \dotsc \dotsc PROPN bracis-19031 46 7 , , PUNCT bracis-19031 46 8 x_d\}\ x_d\}\ PROPN bracis-19031 46 9 ) ) PUNCT bracis-19031 46 10 that that PRON bracis-19031 46 11 minimizes minimize VERB bracis-19031 46 12 an an DET bracis-19031 46 13 objective objective ADJ bracis-19031 46 14 function function NOUN bracis-19031 46 15 subject subject ADJ bracis-19031 46 16 to to ADP bracis-19031 46 17 a a DET bracis-19031 46 18 constraint constraint NOUN bracis-19031 46 19 network network NOUN bracis-19031 46 20 ( ( PUNCT bracis-19031 46 21 cn cn PROPN bracis-19031 46 22 ) ) PUNCT bracis-19031 46 23 \(\mathcal \(\mathcal ADJ bracis-19031 46 24 { { PUNCT bracis-19031 46 25 n n CCONJ bracis-19031 46 26 } } PUNCT bracis-19031 46 27 = = SYM bracis-19031 46 28 ( ( PUNCT bracis-19031 46 29 v v NOUN bracis-19031 46 30 , , PUNCT bracis-19031 46 31 \mathcal \mathcal ADJ bracis-19031 46 32 { { PUNCT bracis-19031 46 33 d d NOUN bracis-19031 46 34 } } PUNCT bracis-19031 46 35 , , PUNCT bracis-19031 46 36 \mathcal \mathcal X bracis-19031 46 37 { { PUNCT bracis-19031 46 38 c})\ c})\ NOUN bracis-19031 46 39 ) ) PUNCT bracis-19031 46 40 , , PUNCT bracis-19031 46 41 where where SCONJ bracis-19031 46 42 \(\mathcal \(\mathcal ADJ bracis-19031 46 43 { { PUNCT bracis-19031 46 44 d}\ d}\ PROPN bracis-19031 46 45 ) ) PUNCT bracis-19031 46 46 is be AUX bracis-19031 46 47 the the DET bracis-19031 46 48 domain domain NOUN bracis-19031 46 49 set set NOUN bracis-19031 46 50 of of ADP bracis-19031 46 51 v v NOUN bracis-19031 46 52 and and CCONJ bracis-19031 46 53 \(\mathcal \(\mathcal ADJ bracis-19031 46 54 { { PUNCT bracis-19031 46 55 c}\ c}\ NUM bracis-19031 46 56 ) ) PUNCT bracis-19031 46 57 is be AUX bracis-19031 46 58 a a DET bracis-19031 46 59 set set NOUN bracis-19031 46 60 of of ADP bracis-19031 46 61 constraints constraint NOUN bracis-19031 46 62 of of ADP bracis-19031 46 63 the the DET bracis-19031 46 64 form form NOUN bracis-19031 46 65 \(g_i(x_{i_1 \(g_i(x_{i_1 NOUN bracis-19031 46 66 } } PUNCT bracis-19031 46 67 , , PUNCT bracis-19031 46 68 \dotsc \dotsc PROPN bracis-19031 46 69 , , PUNCT bracis-19031 46 70 x_{i_k x_{i_k PROPN bracis-19031 46 71 } } PUNCT bracis-19031 46 72 ) ) PUNCT bracis-19031 46 73 \le \le PROPN bracis-19031 46 74 0\ 0\ PROPN bracis-19031 46 75 ) ) PUNCT bracis-19031 46 76 . . PUNCT bracis-19031 47 1 domain domain NOUN bracis-19031 47 2 sets set NOUN bracis-19031 47 3 can can AUX bracis-19031 47 4 be be AUX bracis-19031 47 5 represented represent VERB bracis-19031 47 6 by by ADP bracis-19031 47 7 intervals interval NOUN bracis-19031 47 8 or or CCONJ bracis-19031 47 9 multi multi NOUN bracis-19031 47 10 - - NOUN bracis-19031 47 11 intervals interval NOUN bracis-19031 47 12 . . PUNCT bracis-19031 48 1 given give VERB bracis-19031 48 2 a a DET bracis-19031 48 3 closed closed ADJ bracis-19031 48 4 interval interval NOUN bracis-19031 48 5 \(x \(x NOUN bracis-19031 48 6 = = PUNCT bracis-19031 49 1 [ [ X bracis-19031 49 2 \underline{x \underline{x ADJ bracis-19031 49 3 } } PUNCT bracis-19031 49 4 , , PUNCT bracis-19031 49 5 \overline{x}]\ \overline{x}]\ NUM bracis-19031 49 6 ) ) PUNCT bracis-19031 49 7 , , PUNCT bracis-19031 49 8 we we PRON bracis-19031 49 9 call call VERB bracis-19031 49 10 the the DET bracis-19031 49 11 endpoints endpoint NOUN bracis-19031 49 12 of of ADP bracis-19031 49 13 x x PRON bracis-19031 49 14 ; ; PUNCT bracis-19031 49 15 \(\omega \(\omega X bracis-19031 49 16 ( ( PUNCT bracis-19031 49 17 x x X bracis-19031 49 18 ) ) PUNCT bracis-19031 49 19 = = SYM bracis-19031 49 20 \overline{x \overline{x VERB bracis-19031 49 21 } } PUNCT bracis-19031 49 22 \underline{x}\ \underline{x}\ NOUN bracis-19031 49 23 ) ) PUNCT bracis-19031 49 24 denotes denote VERB bracis-19031 49 25 the the DET bracis-19031 49 26 width width NOUN bracis-19031 49 27 of of ADP bracis-19031 49 28 x x PUNCT bracis-19031 49 29 and and CCONJ bracis-19031 49 30 \(\mu \(\mu PROPN bracis-19031 49 31 ( ( PUNCT bracis-19031 49 32 x x X bracis-19031 49 33 ) ) PUNCT bracis-19031 49 34 = = SYM bracis-19031 49 35 ( ( PUNCT bracis-19031 49 36 \underline{x}+\overline{x})/2\ \underline{x}+\overline{x})/2\ NOUN bracis-19031 49 37 ) ) PUNCT bracis-19031 49 38 denotes denote VERB bracis-19031 49 39 its its PRON bracis-19031 49 40 midpoint midpoint NOUN bracis-19031 49 41 . . PUNCT bracis-19031 50 1 a a DET bracis-19031 50 2 closed closed ADJ bracis-19031 50 3 interval interval NOUN bracis-19031 50 4 can can AUX bracis-19031 50 5 be be AUX bracis-19031 50 6 defined define VERB bracis-19031 50 7 by by ADP bracis-19031 50 8 its its PRON bracis-19031 50 9 width width NOUN bracis-19031 50 10 and and CCONJ bracis-19031 50 11 midpoint midpoint NOUN bracis-19031 50 12 as as SCONJ bracis-19031 50 13 follows follow VERB bracis-19031 50 14 : : PUNCT bracis-19031 51 1 \(x \(x NOUN bracis-19031 51 2 = = SYM bracis-19031 51 3 \left \left PROPN bracis-19031 51 4 [ [ PUNCT bracis-19031 51 5 \mu \mu PROPN bracis-19031 51 6 ( ( PUNCT bracis-19031 51 7 x x X bracis-19031 51 8 ) ) PUNCT bracis-19031 51 9 \omega \omega PROPN bracis-19031 51 10 ( ( PUNCT bracis-19031 51 11 x x X bracis-19031 51 12 ) ) PUNCT bracis-19031 51 13 / / SYM bracis-19031 51 14 2,\,\ 2,\,\ NUM bracis-19031 51 15 , , PUNCT bracis-19031 51 16 \mu \mu PROPN bracis-19031 51 17 ( ( PUNCT bracis-19031 51 18 x x X bracis-19031 51 19 ) ) PUNCT bracis-19031 52 1 + + CCONJ bracis-19031 52 2 \omega \omega PROPN bracis-19031 52 3 ( ( PUNCT bracis-19031 52 4 x x NOUN bracis-19031 52 5 ) ) PUNCT bracis-19031 52 6 / / SYM bracis-19031 52 7 2 2 NUM bracis-19031 52 8 \right \right NOUN bracis-19031 52 9 ] ] PUNCT bracis-19031 52 10 \ \ NOUN bracis-19031 52 11 ) ) PUNCT bracis-19031 52 12 . . PUNCT bracis-19031 53 1 a a DET bracis-19031 53 2 multi multi ADJ bracis-19031 53 3 - - ADJ bracis-19031 53 4 interval interval ADJ bracis-19031 53 5 \(\mathcal \(\mathcal ADJ bracis-19031 53 6 { { PUNCT bracis-19031 53 7 x x NOUN bracis-19031 53 8 } } PUNCT bracis-19031 53 9 = = PUNCT bracis-19031 53 10 \langle \langle PROPN bracis-19031 53 11 x_1 x_1 PROPN bracis-19031 53 12 , , PUNCT bracis-19031 53 13 x_2 x_2 PROPN bracis-19031 53 14 , , PUNCT bracis-19031 53 15 \dotsc \dotsc PROPN bracis-19031 53 16 , , PUNCT bracis-19031 53 17 x_k\rangle x_k\rangle PROPN bracis-19031 53 18 \ \ PROPN bracis-19031 53 19 ) ) PUNCT bracis-19031 53 20 is be AUX bracis-19031 53 21 an an DET bracis-19031 53 22 ordered order VERB bracis-19031 53 23 set set NOUN bracis-19031 53 24 of of ADP bracis-19031 53 25 disjointed disjointed ADJ bracis-19031 53 26 intervals interval NOUN bracis-19031 53 27 , , PUNCT bracis-19031 53 28 where where SCONJ bracis-19031 53 29 \(i \(i NOUN bracis-19031 53 30 < < X bracis-19031 53 31 j j PROPN bracis-19031 53 32 \implies \implie NOUN bracis-19031 53 33 \overline{x}_i \overline{x}_i ADV bracis-19031 53 34 < < X bracis-19031 53 35 \underline{x}_j\ \underline{x}_j\ PROPN bracis-19031 53 36 ) ) PUNCT bracis-19031 53 37 . . PUNCT bracis-19031 54 1 in in ADP bracis-19031 54 2 this this DET bracis-19031 54 3 case case NOUN bracis-19031 54 4 , , PUNCT bracis-19031 54 5 the the DET bracis-19031 54 6 domain domain NOUN bracis-19031 54 7 set set NOUN bracis-19031 54 8 of of ADP bracis-19031 54 9 a a DET bracis-19031 54 10 cn cn PROPN bracis-19031 54 11 is be AUX bracis-19031 54 12 a a DET bracis-19031 54 13 ( ( PUNCT bracis-19031 54 14 multi- multi- NOUN bracis-19031 54 15 ) ) PUNCT bracis-19031 54 16 interval interval NOUN bracis-19031 54 17 box box PROPN bracis-19031 54 18 \((\mathcal \((\mathcal PROPN bracis-19031 54 19 { { PUNCT bracis-19031 54 20 x}_1 x}_1 PROPN bracis-19031 54 21 , , PUNCT bracis-19031 54 22 \mathcal \mathcal PROPN bracis-19031 54 23 { { PUNCT bracis-19031 54 24 x}_2 x}_2 PROPN bracis-19031 54 25 , , PUNCT bracis-19031 54 26 \ldots \ldots INTJ bracis-19031 54 27 , , PUNCT bracis-19031 54 28 \mathcal \mathcal PROPN bracis-19031 54 29 { { PUNCT bracis-19031 54 30 x}_d)\ x}_d)\ NOUN bracis-19031 54 31 ) ) PUNCT bracis-19031 54 32 . . PUNCT bracis-19031 55 1 in in ADP bracis-19031 55 2 this this DET bracis-19031 55 3 paper paper NOUN bracis-19031 55 4 , , PUNCT bracis-19031 55 5 we we PRON bracis-19031 55 6 tackle tackle VERB bracis-19031 55 7 ncops ncop NOUN bracis-19031 55 8 which which DET bracis-19031 55 9 constraints constraint NOUN bracis-19031 55 10 can can AUX bracis-19031 55 11 be be AUX bracis-19031 55 12 decomposed decompose VERB bracis-19031 55 13 into into ADP bracis-19031 55 14 a a DET bracis-19031 55 15 set set NOUN bracis-19031 55 16 of of ADP bracis-19031 55 17 ternary ternary ADJ bracis-19031 55 18 constraintsfootnote constraintsfootnote NOUN bracis-19031 55 19 1 1 NUM bracis-19031 55 20 \(x \(x NOUN bracis-19031 55 21 = = SYM bracis-19031 55 22 y y PROPN bracis-19031 55 23 \circ \circ PROPN bracis-19031 55 24 z\ z\ NUM bracis-19031 55 25 ) ) PUNCT bracis-19031 55 26 or or CCONJ bracis-19031 55 27 \(x \(x NOUN bracis-19031 55 28 = = PUNCT bracis-19031 56 1 \diamond \diamond NUM bracis-19031 56 2 y\ y\ NOUN bracis-19031 56 3 ) ) PUNCT bracis-19031 56 4 , , PUNCT bracis-19031 56 5 where where SCONJ bracis-19031 56 6 \(\circ \(\circ NOUN bracis-19031 56 7 \ \ PROPN bracis-19031 56 8 ) ) PUNCT bracis-19031 56 9 ( ( PUNCT bracis-19031 56 10 \(\diamond \(\diamond VERB bracis-19031 56 11 \ \ NOUN bracis-19031 56 12 ) ) PUNCT bracis-19031 56 13 ) ) PUNCT bracis-19031 56 14 is be AUX bracis-19031 56 15 a a DET bracis-19031 56 16 well well ADV bracis-19031 56 17 - - PUNCT bracis-19031 56 18 defined define VERB bracis-19031 56 19 binary binary ADJ bracis-19031 56 20 ( ( PUNCT bracis-19031 56 21 unary unary ADJ bracis-19031 56 22 ) ) PUNCT bracis-19031 56 23 operation operation NOUN bracis-19031 56 24 . . PUNCT bracis-19031 57 1 therefore therefore ADV bracis-19031 57 2 , , PUNCT bracis-19031 57 3 auxiliary auxiliary ADJ bracis-19031 57 4 variables variable NOUN bracis-19031 57 5 are be AUX bracis-19031 57 6 included include VERB bracis-19031 57 7 in in ADP bracis-19031 57 8 the the DET bracis-19031 57 9 network network NOUN bracis-19031 57 10 . . PUNCT bracis-19031 58 1 for for ADP bracis-19031 58 2 example example NOUN bracis-19031 58 3 , , PUNCT bracis-19031 58 4 the the DET bracis-19031 58 5 constraint constraint NOUN bracis-19031 58 6 \(x \(x NOUN bracis-19031 58 7 + + CCONJ bracis-19031 58 8 2 2 NUM bracis-19031 58 9 \cdot \cdot NOUN bracis-19031 58 10 \sin \sin NOUN bracis-19031 58 11 ( ( PUNCT bracis-19031 58 12 y)^2 y)^2 PROPN bracis-19031 58 13 \le \le PROPN bracis-19031 58 14 0.5\ 0.5\ NOUN bracis-19031 58 15 ) ) PUNCT bracis-19031 58 16 is be AUX bracis-19031 58 17 encoded encode VERB bracis-19031 58 18 as as ADP bracis-19031 58 19 \(\{c_1 \(\{c_1 PROPN bracis-19031 58 20 = = SYM bracis-19031 58 21 x x SYM bracis-19031 58 22 + + CCONJ bracis-19031 58 23 a_1,\ a_1,\ NOUN bracis-19031 58 24 \ \ NOUN bracis-19031 58 25 a_1 a_1 NOUN bracis-19031 58 26 = = SYM bracis-19031 58 27 2 2 NUM bracis-19031 58 28 \cdot \cdot NOUN bracis-19031 58 29 a_2,\ a_2,\ ADV bracis-19031 58 30 \ \ PROPN bracis-19031 58 31 a_2 a_2 PROPN bracis-19031 58 32 = = SYM bracis-19031 58 33 { { PUNCT bracis-19031 58 34 a_3 a_3 PROPN bracis-19031 58 35 } } PUNCT bracis-19031 58 36 ^ ^ PUNCT bracis-19031 59 1 2,\ 2,\ NUM bracis-19031 59 2 \ \ PROPN bracis-19031 59 3 a_3 a_3 PROPN bracis-19031 59 4 = = SYM bracis-19031 59 5 \sin \sin PROPN bracis-19031 59 6 ( ( PUNCT bracis-19031 59 7 y)\}\ y)\}\ PROPN bracis-19031 59 8 ) ) PUNCT bracis-19031 59 9 , , PUNCT bracis-19031 59 10 where where SCONJ bracis-19031 59 11 \(a_i \(a_i ADV bracis-19031 59 12 = = SYM bracis-19031 59 13 ( ( PUNCT bracis-19031 59 14 -\infty -\infty INTJ bracis-19031 59 15 , , PUNCT bracis-19031 59 16 + + ADJ bracis-19031 59 17 \infty \infty ADJ bracis-19031 59 18 ) ) PUNCT bracis-19031 59 19 \ \ NOUN bracis-19031 59 20 ) ) PUNCT bracis-19031 59 21 is be AUX bracis-19031 59 22 the the DET bracis-19031 59 23 domain domain NOUN bracis-19031 59 24 set set NOUN bracis-19031 59 25 of of ADP bracis-19031 59 26 the the DET bracis-19031 59 27 auxiliary auxiliary ADJ bracis-19031 59 28 variable variable ADJ bracis-19031 59 29 \(a_i\ \(a_i\ NOUN bracis-19031 59 30 ) ) PUNCT bracis-19031 59 31 and and CCONJ bracis-19031 59 32 \(c_1 \(c_1 NUM bracis-19031 59 33 = = SYM bracis-19031 59 34 ( ( PUNCT bracis-19031 59 35 -\infty -\infty INTJ bracis-19031 59 36 , , PUNCT bracis-19031 59 37 0.5]\ 0.5]\ NUM bracis-19031 59 38 ) ) PUNCT bracis-19031 59 39 is be AUX bracis-19031 59 40 the the DET bracis-19031 59 41 interval interval NOUN bracis-19031 59 42 constant constant ADJ bracis-19031 59 43 that that PRON bracis-19031 59 44 represents represent VERB bracis-19031 59 45 the the DET bracis-19031 59 46 original original ADJ bracis-19031 59 47 constraint constraint NOUN bracis-19031 59 48 ’s ’s PART bracis-19031 59 49 relation relation NOUN bracis-19031 59 50 . . PUNCT bracis-19031 60 1 2.1 2.1 NUM bracis-19031 60 2 interval interval NOUN bracis-19031 60 3 analysis analysis NOUN bracis-19031 60 4 applied apply VERB bracis-19031 60 5 to to ADP bracis-19031 60 6 global global ADJ bracis-19031 60 7 optimization optimization NOUN bracis-19031 60 8 interval interval NOUN bracis-19031 60 9 analysis analysis NOUN bracis-19031 60 10 is be AUX bracis-19031 60 11 a a DET bracis-19031 60 12 method method NOUN bracis-19031 60 13 of of ADP bracis-19031 60 14 numerical numerical ADJ bracis-19031 60 15 analysis analysis NOUN bracis-19031 60 16 introduced introduce VERB bracis-19031 60 17 by by ADP bracis-19031 60 18 moore moore PROPN bracis-19031 60 19     SPACE bracis-19031 60 20 [ [ X bracis-19031 60 21 16 16 NUM bracis-19031 60 22 ] ] PUNCT bracis-19031 60 23 . . PUNCT bracis-19031 61 1 given give VERB bracis-19031 61 2 intervals interval NOUN bracis-19031 61 3 x x X bracis-19031 61 4 , , PUNCT bracis-19031 61 5 y y PROPN bracis-19031 61 6 and and CCONJ bracis-19031 61 7 z z NOUN bracis-19031 61 8 the the DET bracis-19031 61 9 interval interval NOUN bracis-19031 61 10 extension extension NOUN bracis-19031 61 11 of of ADP bracis-19031 61 12 any any DET bracis-19031 61 13 binary binary ADJ bracis-19031 61 14 ( ( PUNCT bracis-19031 61 15 unary unary ADJ bracis-19031 61 16 ) ) PUNCT bracis-19031 61 17 operation operation NOUN bracis-19031 61 18 \(\circ \(\circ NOUN bracis-19031 61 19 \ \ PROPN bracis-19031 61 20 ) ) PUNCT bracis-19031 61 21 ( ( PUNCT bracis-19031 61 22 \(\diamond \(\diamond VERB bracis-19031 61 23 \ \ NOUN bracis-19031 61 24 ) ) PUNCT bracis-19031 61 25 ) ) PUNCT bracis-19031 61 26 well well INTJ bracis-19031 61 27 defined define VERB bracis-19031 61 28 in in ADP bracis-19031 61 29 is be AUX bracis-19031 61 30 defined define VERB bracis-19031 61 31 by by ADP bracis-19031 61 32 : : PUNCT bracis-19031 61 33 the the DET bracis-19031 61 34 sets set NOUN bracis-19031 61 35 \(x \(x NOUN bracis-19031 61 36 \circ \circ PROPN bracis-19031 61 37 y\ y\ NOUN bracis-19031 61 38 ) ) PUNCT bracis-19031 61 39 and and CCONJ bracis-19031 61 40 \(\diamond \(\diamond VERB bracis-19031 61 41 z\ z\ NUM bracis-19031 61 42 ) ) PUNCT bracis-19031 61 43 can can AUX bracis-19031 61 44 be be AUX bracis-19031 61 45 intervals interval NOUN bracis-19031 61 46 , , PUNCT bracis-19031 61 47 multi multi NOUN bracis-19031 61 48 - - NOUN bracis-19031 61 49 intervals interval NOUN bracis-19031 61 50 or or CCONJ bracis-19031 61 51 empty empty ADJ bracis-19031 61 52 sets set NOUN bracis-19031 61 53 . . PUNCT bracis-19031 62 1 it it PRON bracis-19031 62 2 is be AUX bracis-19031 62 3 possible possible ADJ bracis-19031 62 4 to to PART bracis-19031 62 5 compute compute VERB bracis-19031 62 6 \(x \(x NOUN bracis-19031 62 7 \circ \circ PROPN bracis-19031 62 8 y\ y\ NOUN bracis-19031 62 9 ) ) PUNCT bracis-19031 62 10 or or CCONJ bracis-19031 62 11 \(\diamond \(\diamond VERB bracis-19031 62 12 z\ z\ NUM bracis-19031 62 13 ) ) PUNCT bracis-19031 62 14 for for ADP bracis-19031 62 15 all all DET bracis-19031 62 16 algebraic algebraic ADJ bracis-19031 62 17 and and CCONJ bracis-19031 62 18 the the DET bracis-19031 62 19 common common ADJ bracis-19031 62 20 transcendental transcendental ADJ bracis-19031 62 21 functions function NOUN bracis-19031 62 22 only only ADV bracis-19031 62 23 by by ADP bracis-19031 62 24 analyzing analyze VERB bracis-19031 62 25 the the DET bracis-19031 62 26 endpoints endpoint NOUN bracis-19031 62 27 of of ADP bracis-19031 62 28 x x X bracis-19031 62 29 and and CCONJ bracis-19031 62 30 y y PROPN bracis-19031 62 31 or or CCONJ bracis-19031 62 32 z z PROPN bracis-19031 62 33     SPACE bracis-19031 63 1 [ [ X bracis-19031 63 2 10 10 NUM bracis-19031 63 3 , , PUNCT bracis-19031 63 4 16 16 NUM bracis-19031 63 5 ] ] PUNCT bracis-19031 63 6 , , PUNCT bracis-19031 63 7 e.g. e.g. ADV bracis-19031 63 8 , , PUNCT bracis-19031 63 9 \([\underline{x \([\underline{x NUM bracis-19031 63 10 } } PUNCT bracis-19031 63 11 , , PUNCT bracis-19031 63 12 \overline{x \overline{x PROPN bracis-19031 63 13 } } PUNCT bracis-19031 63 14 ] ] PUNCT bracis-19031 64 1 + + CCONJ bracis-19031 64 2 [ [ X bracis-19031 64 3 \underline{y \underline{y X bracis-19031 64 4 } } PUNCT bracis-19031 64 5 , , PUNCT bracis-19031 64 6 \overline{y \overline{y NOUN bracis-19031 64 7 } } PUNCT bracis-19031 64 8 ] ] PUNCT bracis-19031 64 9 = = PUNCT bracis-19031 65 1 [ [ X bracis-19031 65 2 \underline{x \underline{x ADJ bracis-19031 65 3 } } PUNCT bracis-19031 65 4 + + CCONJ bracis-19031 65 5 \underline{y \underline{y NOUN bracis-19031 65 6 } } PUNCT bracis-19031 65 7 , , PUNCT bracis-19031 65 8 \overline{x \overline{x NOUN bracis-19031 65 9 } } PUNCT bracis-19031 65 10 + + CCONJ bracis-19031 65 11 \overline{y}]\ \overline{y}]\ NOUN bracis-19031 65 12 ) ) PUNCT bracis-19031 65 13 , , PUNCT bracis-19031 65 14 \([\underline{x \([\underline{x PUNCT bracis-19031 65 15 } } PUNCT bracis-19031 65 16 , , PUNCT bracis-19031 65 17 \overline{x \overline{x PROPN bracis-19031 65 18 } } PUNCT bracis-19031 65 19 ] ] PUNCT bracis-19031 66 1 \cdot \cdot PROPN bracis-19031 66 2 [ [ X bracis-19031 66 3 \underline{y \underline{y X bracis-19031 66 4 } } PUNCT bracis-19031 66 5 , , PUNCT bracis-19031 66 6 \overline{y \overline{y NOUN bracis-19031 66 7 } } PUNCT bracis-19031 66 8 ] ] PUNCT bracis-19031 66 9 = = PUNCT bracis-19031 67 1 [ [ X bracis-19031 67 2 \min \min NOUN bracis-19031 67 3 \{\underline{x}\underline{y \{\underline{x}\underline{y PROPN bracis-19031 67 4 } } PUNCT bracis-19031 67 5 , , PUNCT bracis-19031 67 6 \underline{x}\overline{y},\overline{x}\underline{y},\overline{x}\overline{y}\ \underline{x}\overline{y},\overline{x}\underline{y},\overline{x}\overline{y}\ PROPN bracis-19031 67 7 } } PUNCT bracis-19031 67 8 , , PUNCT bracis-19031 67 9 \max \max PROPN bracis-19031 67 10 \{\underline{x}\underline{y \{\underline{x}\underline{y PROPN bracis-19031 67 11 } } PUNCT bracis-19031 67 12 , , PUNCT bracis-19031 67 13 \underline{x}\overline{y},\overline{x}\underline{y},\overline{x}\overline{y}\}]\ \underline{x}\overline{y},\overline{x}\underline{y},\overline{x}\overline{y}\}]\ NOUN bracis-19031 67 14 ) ) PUNCT bracis-19031 67 15 , , PUNCT bracis-19031 67 16 \(2^{[\underline{z \(2^{[\underline{z PROPN bracis-19031 67 17 } } PUNCT bracis-19031 67 18 , , PUNCT bracis-19031 67 19 \overline{z \overline{z PROPN bracis-19031 67 20 } } PUNCT bracis-19031 67 21 ] ] PUNCT bracis-19031 67 22 } } PUNCT bracis-19031 67 23 = = PUNCT bracis-19031 68 1 [ [ X bracis-19031 68 2 2^{\underline{z 2^{\underline{z NUM bracis-19031 68 3 } } PUNCT bracis-19031 68 4 } } PUNCT bracis-19031 68 5 , , PUNCT bracis-19031 68 6 2^{\overline{z}}]\ 2^{\overline{z}}]\ NUM bracis-19031 68 7 ) ) PUNCT bracis-19031 68 8 , , PUNCT bracis-19031 68 9 etc etc X bracis-19031 68 10 . . X bracis-19031 68 11 given give VERB bracis-19031 68 12 multi multi ADJ bracis-19031 68 13 - - NOUN bracis-19031 68 14 intervals interval NOUN bracis-19031 68 15 \(\mathcal \(\mathcal ADJ bracis-19031 68 16 { { PUNCT bracis-19031 68 17 x}\ x}\ PROPN bracis-19031 68 18 ) ) PUNCT bracis-19031 68 19 , , PUNCT bracis-19031 68 20 \(\mathcal \(\mathcal ADJ bracis-19031 68 21 { { PUNCT bracis-19031 68 22 y}\ y}\ NOUN bracis-19031 68 23 ) ) PUNCT bracis-19031 68 24 and and CCONJ bracis-19031 68 25 \(\mathcal \(\mathcal ADJ bracis-19031 68 26 { { PUNCT bracis-19031 68 27 z}\ z}\ NUM bracis-19031 68 28 ) ) PUNCT bracis-19031 68 29 , , PUNCT bracis-19031 68 30 the the DET bracis-19031 68 31 operation operation NOUN bracis-19031 68 32 \(\mathcal \(\mathcal ADJ bracis-19031 68 33 { { PUNCT bracis-19031 68 34 x x NOUN bracis-19031 68 35 } } PUNCT bracis-19031 68 36 \circ \circ PROPN bracis-19031 68 37 \mathcal \mathcal PROPN bracis-19031 68 38 { { PUNCT bracis-19031 68 39 y}\ y}\ NOUN bracis-19031 68 40 ) ) PUNCT bracis-19031 68 41 is be AUX bracis-19031 68 42 the the DET bracis-19031 68 43 tightest tight ADJ bracis-19031 68 44 multi multi NOUN bracis-19031 68 45 - - NOUN bracis-19031 68 46 interval interval NOUN bracis-19031 68 47 that that PRON bracis-19031 68 48 contains contain VERB bracis-19031 68 49 \(\{x \(\{x PROPN bracis-19031 68 50 \circ \circ PROPN bracis-19031 68 51 y\ y\ PROPN bracis-19031 68 52 |\ |\ ADJ bracis-19031 68 53 x x SYM bracis-19031 68 54 \in \in PROPN bracis-19031 68 55 \mathcal \mathcal PROPN bracis-19031 68 56 { { PUNCT bracis-19031 68 57 x x NOUN bracis-19031 68 58 } } PUNCT bracis-19031 68 59 , , PUNCT bracis-19031 68 60 y y PROPN bracis-19031 68 61 \in \in PROPN bracis-19031 68 62 \mathcal \mathcal PROPN bracis-19031 68 63 { { PUNCT bracis-19031 68 64 y}\}\ y}\}\ NOUN bracis-19031 68 65 ) ) PUNCT bracis-19031 68 66 , , PUNCT bracis-19031 68 67 and and CCONJ bracis-19031 68 68 \(\diamond \(\diamond VERB bracis-19031 68 69 \mathcal \mathcal PROPN bracis-19031 68 70 { { PUNCT bracis-19031 68 71 z}\ z}\ NUM bracis-19031 68 72 ) ) PUNCT bracis-19031 68 73 is be AUX bracis-19031 68 74 the the DET bracis-19031 68 75 tightest tight ADJ bracis-19031 68 76 multi multi NOUN bracis-19031 68 77 - - NOUN bracis-19031 68 78 interval interval NOUN bracis-19031 68 79 that that PRON bracis-19031 68 80 contains contain VERB bracis-19031 68 81 \(\{\diamond \(\{\diamond NOUN bracis-19031 68 82 z\ z\ NUM bracis-19031 68 83 |\ |\ PROPN bracis-19031 68 84 z z PROPN bracis-19031 68 85 \in \in PROPN bracis-19031 68 86 \mathcal \mathcal PROPN bracis-19031 68 87 { { PUNCT bracis-19031 68 88 z}\}\ z}\}\ NOUN bracis-19031 68 89 ) ) PUNCT bracis-19031 68 90 . . PUNCT bracis-19031 69 1 in in ADP bracis-19031 69 2 the the DET bracis-19031 69 3 constraint constraint NOUN bracis-19031 69 4 programming programming NOUN bracis-19031 69 5 field field NOUN bracis-19031 69 6 , , PUNCT bracis-19031 69 7 a a DET bracis-19031 69 8 constraint constraint NOUN bracis-19031 69 9 is be AUX bracis-19031 69 10 locally locally ADV bracis-19031 69 11 consistent consistent ADJ bracis-19031 69 12 if if SCONJ bracis-19031 69 13 it it PRON bracis-19031 69 14 satisfies satisfy VERB bracis-19031 69 15 some some DET bracis-19031 69 16 specific specific ADJ bracis-19031 69 17 property property NOUN bracis-19031 69 18 within within ADP bracis-19031 69 19 a a DET bracis-19031 69 20 given give VERB bracis-19031 69 21 box box NOUN bracis-19031 69 22 . . PUNCT bracis-19031 70 1 for for ADP bracis-19031 70 2 instance instance NOUN bracis-19031 70 3 , , PUNCT bracis-19031 70 4 a a DET bracis-19031 70 5 ternary ternary ADJ bracis-19031 70 6 constraint constraint NOUN bracis-19031 70 7 \(c \(c NOUN bracis-19031 70 8 : : PUNCT bracis-19031 70 9 x x SYM bracis-19031 71 1 = = PUNCT bracis-19031 71 2 y y PROPN bracis-19031 71 3 \circ \circ PROPN bracis-19031 71 4 _ _ PRON bracis-19031 71 5 1 1 NUM bracis-19031 71 6 z\ z\ NUM bracis-19031 71 7 ) ) PUNCT bracis-19031 71 8 is be AUX bracis-19031 71 9 generalized generalized ADJ bracis-19031 71 10 arc arc NOUN bracis-19031 71 11 - - PUNCT bracis-19031 71 12 consistent consistent ADJ bracis-19031 71 13 ( ( PUNCT bracis-19031 71 14 gac gac PROPN bracis-19031 71 15 ) ) PUNCT bracis-19031 71 16 w.r.t w.r.t NOUN bracis-19031 71 17 . . PUNCT bracis-19031 72 1 a a DET bracis-19031 72 2 box box NOUN bracis-19031 72 3 ( ( PUNCT bracis-19031 72 4 x x NOUN bracis-19031 72 5 , , PUNCT bracis-19031 72 6     SPACE bracis-19031 72 7 y y PROPN bracis-19031 72 8 , , PUNCT bracis-19031 72 9     SPACE bracis-19031 72 10 z z NOUN bracis-19031 72 11 ) ) PUNCT bracis-19031 72 12 iff iff PROPN bracis-19031 72 13 \(x \(x NOUN bracis-19031 72 14 \subseteq \subseteq PROPN bracis-19031 72 15 y y PROPN bracis-19031 72 16 \circ \circ PROPN bracis-19031 72 17 _ _ PRON bracis-19031 72 18 1 1 NUM bracis-19031 72 19 z\ z\ NUM bracis-19031 72 20 ) ) PUNCT bracis-19031 72 21 , , PUNCT bracis-19031 72 22 \(y \(y PRON bracis-19031 72 23 \subseteq \subseteq PROPN bracis-19031 72 24 x x PUNCT bracis-19031 72 25 \circ \circ PROPN bracis-19031 72 26 _ _ PRON bracis-19031 72 27 2 2 NUM bracis-19031 72 28 z\ z\ NUM bracis-19031 72 29 ) ) PUNCT bracis-19031 72 30 and and CCONJ bracis-19031 72 31 \(z \(z DET bracis-19031 72 32 \subseteq \subseteq PROPN bracis-19031 72 33 x x INTJ bracis-19031 72 34 \circ \circ PROPN bracis-19031 72 35 _ _ PRON bracis-19031 72 36 3 3 NUM bracis-19031 72 37 y\ y\ NOUN bracis-19031 72 38 ) ) PUNCT bracis-19031 72 39 , , PUNCT bracis-19031 72 40 where where SCONJ bracis-19031 72 41 \(\circ \(\circ NOUN bracis-19031 72 42 _ _ NOUN bracis-19031 72 43 2\ 2\ X bracis-19031 72 44 ) ) PUNCT bracis-19031 72 45 and and CCONJ bracis-19031 72 46 \(\circ \(\circ NOUN bracis-19031 72 47 _ _ NOUN bracis-19031 72 48 3\ 3\ NUM bracis-19031 72 49 ) ) PUNCT bracis-19031 72 50 are be AUX bracis-19031 72 51 the the DET bracis-19031 72 52 inverse inverse ADJ bracis-19031 72 53 operations operation NOUN bracis-19031 72 54 of of ADP bracis-19031 72 55 \(\circ \(\circ NOUN bracis-19031 72 56 _ _ PRON bracis-19031 72 57 1\ 1\ NUM bracis-19031 72 58 ) ) PUNCT bracis-19031 72 59 that that PRON bracis-19031 72 60 hold hold VERB bracis-19031 72 61 the the DET bracis-19031 72 62 condition condition NOUN bracis-19031 72 63 \((x \((x ADP bracis-19031 73 1 = = PUNCT bracis-19031 73 2 y y NOUN bracis-19031 73 3 \circ \circ PROPN bracis-19031 73 4 _ _ PRON bracis-19031 73 5 1 1 NUM bracis-19031 73 6 z z NOUN bracis-19031 73 7 ) ) PUNCT bracis-19031 73 8 \iff \iff PROPN bracis-19031 73 9 ( ( PUNCT bracis-19031 73 10 y y NOUN bracis-19031 73 11 = = PUNCT bracis-19031 73 12 x x X bracis-19031 73 13 \circ \circ PROPN bracis-19031 73 14 _ _ PRON bracis-19031 73 15 2 2 NUM bracis-19031 73 16 z z NOUN bracis-19031 73 17 ) ) PUNCT bracis-19031 73 18 \iff \iff PROPN bracis-19031 73 19 ( ( PUNCT bracis-19031 73 20 z z NOUN bracis-19031 73 21 = = PUNCT bracis-19031 73 22 x x PUNCT bracis-19031 73 23 \circ \circ PROPN bracis-19031 73 24 _ _ NOUN bracis-19031 73 25 1 1 NUM bracis-19031 73 26 y)\ y)\ NUM bracis-19031 73 27 ) ) PUNCT bracis-19031 73 28 . . PUNCT bracis-19031 74 1 in in ADP bracis-19031 74 2 other other ADJ bracis-19031 74 3 words word NOUN bracis-19031 74 4 , , PUNCT bracis-19031 74 5 if if SCONJ bracis-19031 74 6 c c PROPN bracis-19031 74 7 is be AUX bracis-19031 74 8 gac gac PROPN bracis-19031 74 9 then then ADV bracis-19031 74 10 given give VERB bracis-19031 74 11 any any DET bracis-19031 74 12 value value NOUN bracis-19031 74 13 for for ADP bracis-19031 74 14 one one NUM bracis-19031 74 15 of of ADP bracis-19031 74 16 its its PRON bracis-19031 74 17 variables variable NOUN bracis-19031 74 18 , , PUNCT bracis-19031 74 19 one one PRON bracis-19031 74 20 can can AUX bracis-19031 74 21 extend extend VERB bracis-19031 74 22 such such ADJ bracis-19031 74 23 valuation valuation NOUN bracis-19031 74 24 for for ADP bracis-19031 74 25 its its PRON bracis-19031 74 26 remaining remain VERB bracis-19031 74 27 variables variable NOUN bracis-19031 74 28 whilst whilst SCONJ bracis-19031 74 29 satisfying satisfy VERB bracis-19031 74 30 c. c. NOUN bracis-19031 74 31 this this DET bracis-19031 74 32 notion notion NOUN bracis-19031 74 33 of of ADP bracis-19031 74 34 local local ADJ bracis-19031 74 35 consistency consistency NOUN bracis-19031 74 36 was be AUX bracis-19031 74 37 proposed propose VERB bracis-19031 74 38 by by ADP bracis-19031 74 39     SPACE bracis-19031 74 40 [ [ X bracis-19031 74 41 15 15 NUM bracis-19031 74 42 ] ] PUNCT bracis-19031 74 43 . . PUNCT bracis-19031 75 1 it it PRON bracis-19031 75 2 is be AUX bracis-19031 75 3 well well ADV bracis-19031 75 4 known know VERB bracis-19031 75 5 that that PRON bracis-19031 75 6 acyclicfootnote acyclicfootnote VERB bracis-19031 75 7 2 2 NUM bracis-19031 75 8 cn cn NOUN bracis-19031 75 9 can can AUX bracis-19031 75 10 be be AUX bracis-19031 75 11 solved solve VERB bracis-19031 75 12 in in ADP bracis-19031 75 13 a a DET bracis-19031 75 14 backtrack backtrack NOUN bracis-19031 75 15 - - PUNCT bracis-19031 75 16 free free ADJ bracis-19031 75 17 manner manner NOUN bracis-19031 75 18 if if SCONJ bracis-19031 75 19 gac gac PROPN bracis-19031 75 20 is be AUX bracis-19031 75 21 achieved achieve VERB bracis-19031 75 22     SPACE bracis-19031 76 1 [ [ X bracis-19031 76 2 6 6 NUM bracis-19031 76 3 ] ] PUNCT bracis-19031 76 4 . . PUNCT bracis-19031 77 1 such such ADJ bracis-19031 77 2 result result NOUN bracis-19031 77 3 can can AUX bracis-19031 77 4 be be AUX bracis-19031 77 5 extended extend VERB bracis-19031 77 6 to to ADP bracis-19031 77 7 ncop ncop NOUN bracis-19031 77 8 by by ADP bracis-19031 77 9 encoding encode VERB bracis-19031 77 10 the the DET bracis-19031 77 11 objective objective ADJ bracis-19031 77 12 function function NOUN bracis-19031 77 13 f(x f(x PROPN bracis-19031 77 14 ) ) PUNCT bracis-19031 77 15 as as ADP bracis-19031 77 16 a a DET bracis-19031 77 17 new new ADJ bracis-19031 77 18 constraint constraint NOUN bracis-19031 77 19 \(y \(y PROPN bracis-19031 77 20 = = SYM bracis-19031 77 21 f(x)\ f(x)\ X bracis-19031 77 22 ) ) PUNCT bracis-19031 77 23 ; ; PUNCT bracis-19031 77 24 after after ADP bracis-19031 77 25 enforcing enforce VERB bracis-19031 77 26 gac gac PROPN bracis-19031 77 27 ( ( PUNCT bracis-19031 77 28 by by ADP bracis-19031 77 29 removing remove VERB bracis-19031 77 30 inconsistent inconsistent ADJ bracis-19031 77 31 values value NOUN bracis-19031 77 32 from from ADP bracis-19031 77 33 the the DET bracis-19031 77 34 current current ADJ bracis-19031 77 35 box box NOUN bracis-19031 77 36 ) ) PUNCT bracis-19031 77 37 we we PRON bracis-19031 77 38 instantiate instantiate VERB bracis-19031 77 39 \(y \(y NOUN bracis-19031 77 40 = = SYM bracis-19031 77 41 \min \min PROPN bracis-19031 77 42 { { PUNCT bracis-19031 77 43 y}\ y}\ NOUN bracis-19031 77 44 ) ) PUNCT bracis-19031 77 45 and and CCONJ bracis-19031 77 46 propagate propagate VERB bracis-19031 77 47 this this DET bracis-19031 77 48 valuation valuation NOUN bracis-19031 77 49 over over ADP bracis-19031 77 50 the the DET bracis-19031 77 51 entire entire ADJ bracis-19031 77 52 network network NOUN bracis-19031 77 53 without without ADP bracis-19031 77 54 encountering encounter VERB bracis-19031 77 55 any any DET bracis-19031 77 56 conflicts conflict NOUN bracis-19031 77 57     SPACE bracis-19031 77 58 [ [ X bracis-19031 77 59 8 8 NUM bracis-19031 77 60 ] ] PUNCT bracis-19031 77 61 . . PUNCT bracis-19031 78 1 however however ADV bracis-19031 78 2 , , PUNCT bracis-19031 78 3 gac gac PROPN bracis-19031 78 4 is be AUX bracis-19031 78 5 not not PART bracis-19031 78 6 enough enough ADJ bracis-19031 78 7 when when SCONJ bracis-19031 78 8 the the DET bracis-19031 78 9 network network NOUN bracis-19031 78 10 is be AUX bracis-19031 78 11 not not PART bracis-19031 78 12 acyclic acyclic ADJ bracis-19031 78 13 . . PUNCT bracis-19031 79 1 another another DET bracis-19031 79 2 notion notion NOUN bracis-19031 79 3 of of ADP bracis-19031 79 4 local local ADJ bracis-19031 79 5 consistency consistency NOUN bracis-19031 79 6 is be AUX bracis-19031 79 7 relational relational ADJ bracis-19031 79 8 arc arc NOUN bracis-19031 79 9 - - PUNCT bracis-19031 79 10 consistent consistent ADJ bracis-19031 79 11 ( ( PUNCT bracis-19031 79 12 rac rac NOUN bracis-19031 79 13 ) ) PUNCT bracis-19031 79 14     SPACE bracis-19031 80 1 [ [ X bracis-19031 80 2 7 7 NUM bracis-19031 80 3 ] ] PUNCT bracis-19031 80 4 . . PUNCT bracis-19031 81 1 a a DET bracis-19031 81 2 ternary ternary ADJ bracis-19031 81 3 constraint constraint NOUN bracis-19031 81 4 \(c \(c NOUN bracis-19031 81 5 : : PUNCT bracis-19031 81 6 x x SYM bracis-19031 81 7 = = PUNCT bracis-19031 81 8 y y PROPN bracis-19031 81 9 \circ \circ PROPN bracis-19031 81 10 _ _ PRON bracis-19031 81 11 1 1 NUM bracis-19031 81 12 z\ z\ NUM bracis-19031 81 13 ) ) PUNCT bracis-19031 81 14 is be AUX bracis-19031 81 15 rac rac PROPN bracis-19031 81 16 w.r.t w.r.t PROPN bracis-19031 81 17 . . PUNCT bracis-19031 82 1 a a DET bracis-19031 82 2 box box NOUN bracis-19031 82 3 ( ( PUNCT bracis-19031 82 4 x x NOUN bracis-19031 82 5 , , PUNCT bracis-19031 82 6     SPACE bracis-19031 82 7 y y PROPN bracis-19031 82 8 , , PUNCT bracis-19031 82 9     SPACE bracis-19031 82 10 z z NOUN bracis-19031 82 11 ) ) PUNCT bracis-19031 82 12 iff iff PROPN bracis-19031 82 13 \(x \(x PROPN bracis-19031 82 14 \supseteq \supseteq PROPN bracis-19031 82 15 y y NOUN bracis-19031 82 16 \circ \circ PROPN bracis-19031 82 17 _ _ NOUN bracis-19031 82 18 1 1 NUM bracis-19031 82 19 z\ z\ NUM bracis-19031 82 20 ) ) PUNCT bracis-19031 82 21 , , PUNCT bracis-19031 82 22 \(y \(y PRON bracis-19031 82 23 \supseteq \supseteq PROPN bracis-19031 82 24 x x SYM bracis-19031 82 25 \circ \circ PROPN bracis-19031 82 26 _ _ PRON bracis-19031 82 27 2 2 NUM bracis-19031 82 28 z\ z\ NUM bracis-19031 82 29 ) ) PUNCT bracis-19031 82 30 and and CCONJ bracis-19031 82 31 \(z \(z DET bracis-19031 82 32 \supseteq \supseteq PROPN bracis-19031 82 33 x x SYM bracis-19031 82 34 \circ \circ PROPN bracis-19031 82 35 _ _ PRON bracis-19031 82 36 3 3 NUM bracis-19031 82 37 y\ y\ NOUN bracis-19031 82 38 ) ) PUNCT bracis-19031 82 39 , , PUNCT bracis-19031 82 40 i.e. i.e. X bracis-19031 82 41 , , PUNCT bracis-19031 82 42 given give VERB bracis-19031 82 43 any any DET bracis-19031 82 44 value value NOUN bracis-19031 82 45 for for ADP bracis-19031 82 46 two two NUM bracis-19031 82 47 variables variable NOUN bracis-19031 82 48 of of ADP bracis-19031 82 49 c c NOUN bracis-19031 82 50 , , PUNCT bracis-19031 82 51 one one PRON bracis-19031 82 52 can can AUX bracis-19031 82 53 extend extend VERB bracis-19031 82 54 such such ADJ bracis-19031 82 55 valuation valuation NOUN bracis-19031 82 56 for for ADP bracis-19031 82 57 its its PRON bracis-19031 82 58 remaining remain VERB bracis-19031 82 59 variable variable NOUN bracis-19031 82 60 whilst whilst SCONJ bracis-19031 82 61 satisfying satisfy VERB bracis-19031 82 62 c. c. NOUN bracis-19031 82 63 in in ADP bracis-19031 82 64     SPACE bracis-19031 82 65 [ [ X bracis-19031 82 66 8 8 NUM bracis-19031 82 67 ] ] PUNCT bracis-19031 82 68 it it PRON bracis-19031 82 69 was be AUX bracis-19031 82 70 proposed propose VERB bracis-19031 82 71 a a DET bracis-19031 82 72 decomposition decomposition NOUN bracis-19031 82 73 of of ADP bracis-19031 82 74 cns cns NOUN bracis-19031 82 75 that that PRON bracis-19031 82 76 relates relate VERB bracis-19031 82 77 the the DET bracis-19031 82 78 amount amount NOUN bracis-19031 82 79 of of ADP bracis-19031 82 80 consistency consistency NOUN bracis-19031 82 81 necessary necessary ADJ bracis-19031 82 82 to to PART bracis-19031 82 83 ensure ensure VERB bracis-19031 82 84 a a DET bracis-19031 82 85 backtrack backtrack NOUN bracis-19031 82 86 - - PUNCT bracis-19031 82 87 free free ADJ bracis-19031 82 88 solution solution NOUN bracis-19031 82 89 . . PUNCT bracis-19031 83 1 an an DET bracis-19031 83 2 epiphytic epiphytic ADJ bracis-19031 83 3 decomposition decomposition NOUN bracis-19031 83 4 of of ADP bracis-19031 83 5 a a DET bracis-19031 83 6 cn cn PROPN bracis-19031 83 7 is be AUX bracis-19031 83 8 a a DET bracis-19031 83 9 tuple tuple NOUN bracis-19031 83 10 \((\mathcal \((\mathcal PROPN bracis-19031 83 11 { { PUNCT bracis-19031 83 12 a a NOUN bracis-19031 83 13 } } PUNCT bracis-19031 83 14 , , PUNCT bracis-19031 83 15 \varomega \varomega PROPN bracis-19031 83 16 , , PUNCT bracis-19031 83 17 t)\ t)\ PRON bracis-19031 83 18 ) ) PUNCT bracis-19031 83 19 , , PUNCT bracis-19031 83 20 where where SCONJ bracis-19031 83 21 \(\mathcal \(\mathcal ADJ bracis-19031 83 22 { { PUNCT bracis-19031 83 23 a}\ a}\ NUM bracis-19031 83 24 ) ) PUNCT bracis-19031 83 25 is be AUX bracis-19031 83 26 an an DET bracis-19031 83 27 ordered order VERB bracis-19031 83 28 set set NOUN bracis-19031 83 29 of of ADP bracis-19031 83 30 acyclic acyclic ADJ bracis-19031 83 31 networks network NOUN bracis-19031 83 32 obtained obtain VERB bracis-19031 83 33 by by ADP bracis-19031 83 34 removing remove VERB bracis-19031 83 35 from from ADP bracis-19031 83 36 the the DET bracis-19031 83 37 cn cn PROPN bracis-19031 83 38 a a DET bracis-19031 83 39 set set NOUN bracis-19031 83 40 of of ADP bracis-19031 83 41 constraints constraint NOUN bracis-19031 83 42 \(\varomega \(\varomega X bracis-19031 83 43 \ \ ADJ bracis-19031 83 44 ) ) PUNCT bracis-19031 83 45 and and CCONJ bracis-19031 83 46 \(t \(t NOUN bracis-19031 83 47 : : PUNCT bracis-19031 83 48 \varomega \varomega PROPN bracis-19031 83 49 \mapsto \mapsto PROPN bracis-19031 83 50 v_\varomega v_\varomega NOUN bracis-19031 83 51 \ \ PROPN bracis-19031 83 52 ) ) PUNCT bracis-19031 83 53 is be AUX bracis-19031 83 54 a a DET bracis-19031 83 55 function function NOUN bracis-19031 83 56 that that PRON bracis-19031 83 57 associates associate VERB bracis-19031 83 58 each each DET bracis-19031 83 59 constraint constraint NOUN bracis-19031 83 60 \(c \(c PROPN bracis-19031 83 61 \in \in PROPN bracis-19031 83 62 \varomega \varomega PROPN bracis-19031 83 63 \ \ NOUN bracis-19031 83 64 ) ) PUNCT bracis-19031 83 65 with with ADP bracis-19031 83 66 one one NUM bracis-19031 83 67 of of ADP bracis-19031 83 68 its its PRON bracis-19031 83 69 variables variable NOUN bracis-19031 83 70 t(c t(c ADJ bracis-19031 83 71 ) ) PUNCT bracis-19031 83 72 satisfying satisfy VERB bracis-19031 83 73 the the DET bracis-19031 83 74 following following NOUN bracis-19031 83 75 : : PUNCT bracis-19031 83 76 if if SCONJ bracis-19031 83 77 t(c t(c PROPN bracis-19031 83 78 ) ) PUNCT bracis-19031 83 79 belongs belong VERB bracis-19031 83 80 to to ADP bracis-19031 83 81 the the DET bracis-19031 83 82 network network NOUN bracis-19031 83 83 \(n_i\ \(n_i\ NOUN bracis-19031 83 84 ) ) PUNCT bracis-19031 83 85 then then ADV bracis-19031 83 86 ( ( PUNCT bracis-19031 83 87 i i NOUN bracis-19031 83 88 ) ) PUNCT bracis-19031 83 89 the the DET bracis-19031 83 90 remaining remain VERB bracis-19031 83 91 variables variable NOUN bracis-19031 83 92 of of ADP bracis-19031 83 93 c c PROPN bracis-19031 83 94 belongs belong VERB bracis-19031 83 95 to to ADP bracis-19031 83 96 previous previous ADJ bracis-19031 83 97 networks network NOUN bracis-19031 83 98 \(n_{j \(n_{j ADP bracis-19031 83 99 < < X bracis-19031 83 100 i}\ i}\ NUM bracis-19031 83 101 ) ) PUNCT bracis-19031 83 102 ; ; PUNCT bracis-19031 83 103 and and CCONJ bracis-19031 83 104 ( ( PUNCT bracis-19031 83 105 ii ii NOUN bracis-19031 83 106 ) ) PUNCT bracis-19031 83 107 there there PRON bracis-19031 83 108 is be VERB bracis-19031 83 109 no no DET bracis-19031 83 110 other other ADJ bracis-19031 83 111 constraint constraint NOUN bracis-19031 83 112 \(c \(c NOUN bracis-19031 83 113 ' ' PUNCT bracis-19031 83 114 \in \in PROPN bracis-19031 83 115 \varomega \varomega PROPN bracis-19031 83 116 \ \ NOUN bracis-19031 83 117 ) ) PUNCT bracis-19031 83 118 such such ADJ bracis-19031 83 119 that that SCONJ bracis-19031 83 120 \(t(c')\ \(t(c')\ NOUN bracis-19031 83 121 ) ) PUNCT bracis-19031 83 122 belongs belong VERB bracis-19031 83 123 to to ADP bracis-19031 83 124 \(n_i\ \(n_i\ NOUN bracis-19031 83 125 ) ) PUNCT bracis-19031 83 126 . . PUNCT bracis-19031 84 1 if if SCONJ bracis-19031 84 2 the the DET bracis-19031 84 3 cn cn PROPN bracis-19031 84 4 encodes encode VERB bracis-19031 84 5 a a DET bracis-19031 84 6 ncop ncop PROPN bracis-19031 84 7 instance instance NOUN bracis-19031 84 8 , , PUNCT bracis-19031 84 9 the the DET bracis-19031 84 10 variable variable NOUN bracis-19031 84 11 \(y \(y NOUN bracis-19031 84 12 = = SYM bracis-19031 84 13 f(c)\ f(c)\ PROPN bracis-19031 84 14 ) ) PUNCT bracis-19031 84 15 that that PRON bracis-19031 84 16 represents represent VERB bracis-19031 84 17 the the DET bracis-19031 84 18 objective objective ADJ bracis-19031 84 19 function function NOUN bracis-19031 84 20 must must AUX bracis-19031 84 21 be be AUX bracis-19031 84 22 in in ADP bracis-19031 84 23 the the DET bracis-19031 84 24 first first ADJ bracis-19031 84 25 acyclic acyclic ADJ bracis-19031 84 26 network network NOUN bracis-19031 84 27 of of ADP bracis-19031 84 28 \(\mathcal \(\mathcal ADJ bracis-19031 84 29 { { PUNCT bracis-19031 84 30 a}\ a}\ NUM bracis-19031 84 31 ) ) PUNCT bracis-19031 84 32 . . PUNCT bracis-19031 85 1 it it PRON bracis-19031 85 2 was be AUX bracis-19031 85 3 shown show VERB bracis-19031 85 4 that that SCONJ bracis-19031 85 5 if if SCONJ bracis-19031 85 6 a a DET bracis-19031 85 7 ncop ncop PROPN bracis-19031 85 8 \(\mathcal \(\mathcal ADJ bracis-19031 85 9 { { PUNCT bracis-19031 85 10 p}\ p}\ NOUN bracis-19031 85 11 ) ) PUNCT bracis-19031 85 12 encoded encode VERB bracis-19031 85 13 as as ADP bracis-19031 85 14 a a DET bracis-19031 85 15 ternary ternary NOUN bracis-19031 85 16 cn cn PROPN bracis-19031 85 17 is be AUX bracis-19031 85 18 gac gac PROPN bracis-19031 85 19 and and CCONJ bracis-19031 85 20 the the DET bracis-19031 85 21 constraints constraint NOUN bracis-19031 85 22 in in ADP bracis-19031 85 23 the the DET bracis-19031 85 24 set set VERB bracis-19031 85 25 \(\varomega \(\varomega NOUN bracis-19031 85 26 \ \ NOUN bracis-19031 85 27 ) ) PUNCT bracis-19031 85 28 of of ADP bracis-19031 85 29 its its PRON bracis-19031 85 30 epiphytic epiphytic ADJ bracis-19031 85 31 decomposition decomposition NOUN bracis-19031 85 32 are be AUX bracis-19031 85 33 rac rac NOUN bracis-19031 85 34 , , PUNCT bracis-19031 85 35 then then ADV bracis-19031 85 36 \(\mathcal \(\mathcal ADJ bracis-19031 85 37 { { PUNCT bracis-19031 85 38 p}\ p}\ NOUN bracis-19031 85 39 ) ) PUNCT bracis-19031 85 40 can can AUX bracis-19031 85 41 be be AUX bracis-19031 85 42 solved solve VERB bracis-19031 85 43 in in ADP bracis-19031 85 44 a a DET bracis-19031 85 45 backtrack backtrack NOUN bracis-19031 85 46 - - PUNCT bracis-19031 85 47 free free ADJ bracis-19031 85 48 fashion fashion NOUN bracis-19031 85 49 . . PUNCT bracis-19031 86 1 the the DET bracis-19031 86 2 proposed propose VERB bracis-19031 86 3 ogre ogre NOUN bracis-19031 86 4     SPACE bracis-19031 86 5 [ [ X bracis-19031 86 6 8 8 NUM bracis-19031 86 7 ] ] PUNCT bracis-19031 86 8 and and CCONJ bracis-19031 86 9 inde inde PROPN bracis-19031 86 10     SPACE bracis-19031 86 11 [ [ X bracis-19031 86 12 5 5 NUM bracis-19031 86 13 ] ] PUNCT bracis-19031 86 14 solvers solver NOUN bracis-19031 86 15 are be AUX bracis-19031 86 16 based base VERB bracis-19031 86 17 on on ADP bracis-19031 86 18 this this DET bracis-19031 86 19 relation relation NOUN bracis-19031 86 20 and and CCONJ bracis-19031 86 21 attempt attempt NOUN bracis-19031 86 22 to to PART bracis-19031 86 23 achieve achieve VERB bracis-19031 86 24 the the DET bracis-19031 86 25 relational relational ADJ bracis-19031 86 26 arc arc NOUN bracis-19031 86 27 - - PUNCT bracis-19031 86 28 consistency consistency NOUN bracis-19031 86 29 of of ADP bracis-19031 86 30 the the DET bracis-19031 86 31 cn cn PROPN bracis-19031 86 32 as as ADP bracis-19031 86 33 a a DET bracis-19031 86 34 form form NOUN bracis-19031 86 35 of of ADP bracis-19031 86 36 optimization optimization NOUN bracis-19031 86 37 . . PUNCT bracis-19031 87 1 however however ADV bracis-19031 87 2 , , PUNCT bracis-19031 87 3 enforcing enforce VERB bracis-19031 87 4 rac rac PROPN bracis-19031 87 5 is be AUX bracis-19031 87 6 in in ADP bracis-19031 87 7 general general ADJ bracis-19031 87 8 intractable intractable ADJ bracis-19031 87 9 . . PUNCT bracis-19031 88 1 the the DET bracis-19031 88 2 approach approach NOUN bracis-19031 88 3 proposed propose VERB bracis-19031 88 4 in in ADP bracis-19031 88 5 ogre ogre NOUN bracis-19031 88 6 approximates approximate VERB bracis-19031 88 7 rac rac NOUN bracis-19031 88 8 by by ADP bracis-19031 88 9 using use VERB bracis-19031 88 10 an an DET bracis-19031 88 11 interval interval NOUN bracis-19031 88 12 branch branch NOUN bracis-19031 88 13 and and CCONJ bracis-19031 88 14 pruning prune VERB bracis-19031 88 15 scheme scheme NOUN bracis-19031 88 16 . . PUNCT bracis-19031 89 1 if if SCONJ bracis-19031 89 2 a a DET bracis-19031 89 3 constraint constraint NOUN bracis-19031 89 4 \((c \((c NOUN bracis-19031 89 5 : : PUNCT bracis-19031 89 6 x x SYM bracis-19031 89 7 = = SYM bracis-19031 89 8 y y PROPN bracis-19031 89 9 \circ \circ PROPN bracis-19031 89 10 z z PROPN bracis-19031 89 11 ) ) PUNCT bracis-19031 89 12 \in \in PROPN bracis-19031 89 13 \varomega \varomega PROPN bracis-19031 89 14 \ \ NOUN bracis-19031 89 15 ) ) PUNCT bracis-19031 89 16 is be AUX bracis-19031 89 17 not not PART bracis-19031 89 18 rac rac NOUN bracis-19031 89 19 under under ADP bracis-19031 89 20 the the DET bracis-19031 89 21 current current ADJ bracis-19031 89 22 box box NOUN bracis-19031 89 23 , , PUNCT bracis-19031 89 24 the the DET bracis-19031 89 25 domain domain NOUN bracis-19031 89 26 of of ADP bracis-19031 89 27 some some DET bracis-19031 89 28 variable variable NOUN bracis-19031 89 29 in in ADP bracis-19031 89 30 this this DET bracis-19031 89 31 constraint constraint NOUN bracis-19031 89 32 ( ( PUNCT bracis-19031 89 33 excluding exclude VERB bracis-19031 89 34 t(c t(c NOUN bracis-19031 89 35 ) ) PUNCT bracis-19031 89 36 ) ) PUNCT bracis-19031 89 37 is be AUX bracis-19031 89 38 bisected bisect VERB bracis-19031 89 39 ( ( PUNCT bracis-19031 89 40 branch branch NOUN bracis-19031 89 41 ) ) PUNCT bracis-19031 89 42 and and CCONJ bracis-19031 89 43 gac gac PROPN bracis-19031 89 44 is be AUX bracis-19031 89 45 enforced enforce VERB bracis-19031 89 46 on on ADP bracis-19031 89 47 both both DET bracis-19031 89 48 sub sub NOUN bracis-19031 89 49 - - NOUN bracis-19031 89 50 problems problem NOUN bracis-19031 89 51 ( ( PUNCT bracis-19031 89 52 pruning prune VERB bracis-19031 89 53 ) ) PUNCT bracis-19031 89 54 before before ADP bracis-19031 89 55 a a DET bracis-19031 89 56 new new ADJ bracis-19031 89 57 verification verification NOUN bracis-19031 89 58 of of ADP bracis-19031 89 59 the the DET bracis-19031 89 60 rac rac PROPN bracis-19031 89 61 property property NOUN bracis-19031 89 62 of of ADP bracis-19031 89 63 \(\varomega \(\varomega NOUN bracis-19031 89 64 \ \ NOUN bracis-19031 89 65 ) ) PUNCT bracis-19031 89 66 constraints constraint NOUN bracis-19031 89 67 . . PUNCT bracis-19031 90 1 the the DET bracis-19031 90 2 algorithm algorithm NOUN bracis-19031 90 3 continues continue VERB bracis-19031 90 4 in in ADP bracis-19031 90 5 a a DET bracis-19031 90 6 recursive recursive ADJ bracis-19031 90 7 fashion fashion NOUN bracis-19031 90 8 . . PUNCT bracis-19031 91 1 therefore therefore ADV bracis-19031 91 2 , , PUNCT bracis-19031 91 3 although although SCONJ bracis-19031 91 4 the the DET bracis-19031 91 5 ternary ternary ADJ bracis-19031 91 6 decomposition decomposition NOUN bracis-19031 91 7 of of ADP bracis-19031 91 8 the the DET bracis-19031 91 9 original original ADJ bracis-19031 91 10 ncop ncop PROPN bracis-19031 91 11 instance instance NOUN bracis-19031 91 12 increases increase VERB bracis-19031 91 13 the the DET bracis-19031 91 14 number number NOUN bracis-19031 91 15 of of ADP bracis-19031 91 16 variables variable NOUN bracis-19031 91 17 , , PUNCT bracis-19031 91 18 not not PART bracis-19031 91 19 all all PRON bracis-19031 91 20 of of ADP bracis-19031 91 21 them they PRON bracis-19031 91 22 are be AUX bracis-19031 91 23 considered consider VERB bracis-19031 91 24 in in ADP bracis-19031 91 25 the the DET bracis-19031 91 26 branch branch NOUN bracis-19031 91 27 process process NOUN bracis-19031 91 28 , , PUNCT bracis-19031 91 29 but but CCONJ bracis-19031 91 30 only only ADV bracis-19031 91 31 those those PRON bracis-19031 91 32 of of ADP bracis-19031 91 33 \(\varomega \(\varomega NOUN bracis-19031 91 34 \ \ NOUN bracis-19031 91 35 ) ) PUNCT bracis-19031 91 36 constraints constraint NOUN bracis-19031 91 37 . . PUNCT bracis-19031 92 1 in in ADP bracis-19031 92 2 each each DET bracis-19031 92 3 branch branch NOUN bracis-19031 92 4 of of ADP bracis-19031 92 5 the the DET bracis-19031 92 6 search search NOUN bracis-19031 92 7 tree tree NOUN bracis-19031 92 8 , , PUNCT bracis-19031 92 9 a a DET bracis-19031 92 10 backtrack backtrack NOUN bracis-19031 92 11 - - PUNCT bracis-19031 92 12 free free ADJ bracis-19031 92 13 local local ADJ bracis-19031 92 14 search search NOUN bracis-19031 92 15 occurs occur VERB bracis-19031 92 16 . . PUNCT bracis-19031 93 1 first first ADV bracis-19031 93 2 , , PUNCT bracis-19031 93 3 the the DET bracis-19031 93 4 variable variable NOUN bracis-19031 93 5 representing represent VERB bracis-19031 93 6 the the DET bracis-19031 93 7 objective objective ADJ bracis-19031 93 8 function function NOUN bracis-19031 93 9 is be AUX bracis-19031 93 10 instantiated instantiate VERB bracis-19031 93 11 with with ADP bracis-19031 93 12 its its PRON bracis-19031 93 13 minimum minimum ADJ bracis-19031 93 14 value value NOUN bracis-19031 93 15 in in ADP bracis-19031 93 16 the the DET bracis-19031 93 17 current current ADJ bracis-19031 93 18 box box NOUN bracis-19031 93 19 . . PUNCT bracis-19031 94 1 next next ADV bracis-19031 94 2 , , PUNCT bracis-19031 94 3 the the DET bracis-19031 94 4 valuation valuation NOUN bracis-19031 94 5 is be AUX bracis-19031 94 6 propagated propagate VERB bracis-19031 94 7 over over ADP bracis-19031 94 8 all all DET bracis-19031 94 9 the the DET bracis-19031 94 10 network network NOUN bracis-19031 94 11 , , PUNCT bracis-19031 94 12 following follow VERB bracis-19031 94 13 the the DET bracis-19031 94 14 ordering ordering NOUN bracis-19031 94 15 \(\mathcal \(\mathcal ADJ bracis-19031 94 16 { { PUNCT bracis-19031 94 17 a}\ a}\ NUM bracis-19031 94 18 ) ) PUNCT bracis-19031 94 19 of of ADP bracis-19031 94 20 the the DET bracis-19031 94 21 epiphytic epiphytic ADJ bracis-19031 94 22 decomposition decomposition NOUN bracis-19031 94 23 . . PUNCT bracis-19031 95 1 note note VERB bracis-19031 95 2 that that SCONJ bracis-19031 95 3 acyclic acyclic ADJ bracis-19031 95 4 networks network NOUN bracis-19031 95 5 of of ADP bracis-19031 95 6 \(\mathcal \(\mathcal ADJ bracis-19031 95 7 { { PUNCT bracis-19031 95 8 a}\ a}\ NUM bracis-19031 95 9 ) ) PUNCT bracis-19031 95 10 are be AUX bracis-19031 95 11 feasible feasible ADJ bracis-19031 95 12 if if SCONJ bracis-19031 95 13 gac gac PROPN bracis-19031 95 14 was be AUX bracis-19031 95 15 enforced enforce VERB bracis-19031 95 16 , , PUNCT bracis-19031 95 17 but but CCONJ bracis-19031 95 18 the the DET bracis-19031 95 19 constraints constraint NOUN bracis-19031 95 20 in in ADP bracis-19031 95 21 \(\varomega \(\varomega NOUN bracis-19031 95 22 \ \ NOUN bracis-19031 95 23 ) ) PUNCT bracis-19031 95 24 may may AUX bracis-19031 95 25 be be AUX bracis-19031 95 26 infeasible infeasible ADJ bracis-19031 95 27 . . PUNCT bracis-19031 96 1 there there PRON bracis-19031 96 2 are be VERB bracis-19031 96 3 two two NUM bracis-19031 96 4 main main ADJ bracis-19031 96 5 parameters parameter NOUN bracis-19031 96 6 that that PRON bracis-19031 96 7 control control VERB bracis-19031 96 8 ogre ogre X bracis-19031 96 9 ’s ’s PART bracis-19031 96 10 search search NOUN bracis-19031 96 11 procedure procedure NOUN bracis-19031 96 12 : : PUNCT bracis-19031 96 13 the the DET bracis-19031 96 14 tolerance tolerance NOUN bracis-19031 96 15 \(\varepsilon \(\varepsilon NOUN bracis-19031 96 16 _ _ PUNCT bracis-19031 96 17 { { PUNCT bracis-19031 96 18 \varomega \varomega NOUN bracis-19031 96 19 } } PUNCT bracis-19031 96 20 \ \ NOUN bracis-19031 96 21 ) ) PUNCT bracis-19031 96 22 allowed allow VERB bracis-19031 96 23 in in ADP bracis-19031 96 24 each each DET bracis-19031 96 25 \(\varomega \(\varomega NOUN bracis-19031 96 26 \ \ NOUN bracis-19031 96 27 ) ) PUNCT bracis-19031 96 28 constraint constraint NOUN bracis-19031 96 29 , , PUNCT bracis-19031 96 30 and and CCONJ bracis-19031 96 31 the the DET bracis-19031 96 32 minimum minimum ADJ bracis-19031 96 33 granularity granularity NOUN bracis-19031 96 34 \(\vardelta \(\vardelta NOUN bracis-19031 96 35 \ \ NOUN bracis-19031 96 36 ) ) PUNCT bracis-19031 96 37 which which DET bracis-19031 96 38 intervals interval NOUN bracis-19031 96 39 can can AUX bracis-19031 96 40 be be AUX bracis-19031 96 41 bisected bisect VERB bracis-19031 96 42 . . PUNCT bracis-19031 97 1 ogre ogre PROPN bracis-19031 97 2 ’s ’s PART bracis-19031 97 3 approach approach NOUN bracis-19031 97 4 is be AUX bracis-19031 97 5 a a DET bracis-19031 97 6 variation variation NOUN bracis-19031 97 7 of of ADP bracis-19031 97 8 usual usual ADJ bracis-19031 97 9 interval interval NOUN bracis-19031 97 10 branch branch NOUN bracis-19031 97 11 and and CCONJ bracis-19031 97 12 bound bind VERB bracis-19031 97 13 ( ( PUNCT bracis-19031 97 14 ib&b ib&b PROPN bracis-19031 97 15 ) ) PUNCT bracis-19031 97 16 methods method NOUN bracis-19031 97 17     SPACE bracis-19031 98 1 [ [ X bracis-19031 98 2 1 1 X bracis-19031 98 3 ] ] PUNCT bracis-19031 98 4 that that PRON bracis-19031 98 5 have have AUX bracis-19031 98 6 been be AUX bracis-19031 98 7 used use VERB bracis-19031 98 8 in in ADP bracis-19031 98 9 the the DET bracis-19031 98 10 last last ADJ bracis-19031 98 11 few few ADJ bracis-19031 98 12 decades decade NOUN bracis-19031 98 13 to to PART bracis-19031 98 14 rigorously rigorously ADV bracis-19031 98 15 solve solve VERB bracis-19031 98 16 ncop ncop NOUN bracis-19031 98 17 . . PUNCT bracis-19031 99 1 interval interval NOUN bracis-19031 99 2 methods method NOUN bracis-19031 99 3 compute compute VERB bracis-19031 99 4 a a DET bracis-19031 99 5 set set NOUN bracis-19031 99 6 of of ADP bracis-19031 99 7 atomic atomic ADJ bracis-19031 99 8 boxes box NOUN bracis-19031 99 9 that that PRON bracis-19031 99 10 contains contain VERB bracis-19031 99 11 an an DET bracis-19031 99 12 optimum optimum ADJ bracis-19031 99 13 solution solution NOUN bracis-19031 99 14 of of ADP bracis-19031 99 15 the the DET bracis-19031 99 16 ncop ncop PROPN bracis-19031 99 17 instance instance PROPN bracis-19031 99 18 . . PUNCT bracis-19031 100 1 due due ADP bracis-19031 100 2 to to ADP bracis-19031 100 3 elevated elevated ADJ bracis-19031 100 4 computational computational ADJ bracis-19031 100 5 cost cost NOUN bracis-19031 100 6 , , PUNCT bracis-19031 100 7 these these DET bracis-19031 100 8 algorithms algorithm NOUN bracis-19031 100 9 remain remain VERB bracis-19031 100 10 inefficient inefficient ADJ bracis-19031 100 11 in in ADP bracis-19031 100 12 instances instance NOUN bracis-19031 100 13 with with ADP bracis-19031 100 14 many many ADJ bracis-19031 100 15 dimensions dimension NOUN bracis-19031 100 16 . . PUNCT bracis-19031 101 1 on on ADP bracis-19031 101 2 the the DET bracis-19031 101 3 other other ADJ bracis-19031 101 4 hand hand NOUN bracis-19031 101 5 , , PUNCT bracis-19031 101 6 a a DET bracis-19031 101 7 solution solution NOUN bracis-19031 101 8 found find VERB bracis-19031 101 9 by by ADP bracis-19031 101 10 ogre ogre NOUN bracis-19031 101 11 may may AUX bracis-19031 101 12 be be AUX bracis-19031 101 13 inexact inexact ADJ bracis-19031 101 14 ( ( PUNCT bracis-19031 101 15 w.r.t w.r.t NOUN bracis-19031 101 16 . . PUNCT bracis-19031 102 1 objective objective ADJ bracis-19031 102 2 function function NOUN bracis-19031 102 3 cost cost NOUN bracis-19031 102 4 or or CCONJ bracis-19031 102 5 constraint constraint NOUN bracis-19031 102 6 violation violation NOUN bracis-19031 102 7 ) ) PUNCT bracis-19031 102 8 , , PUNCT bracis-19031 102 9 because because SCONJ bracis-19031 102 10 rac rac PROPN bracis-19031 102 11 is be AUX bracis-19031 102 12 approximated approximate VERB bracis-19031 102 13 by by ADP bracis-19031 102 14 a a DET bracis-19031 102 15 tolerance tolerance NOUN bracis-19031 102 16 \(\varepsilon \(\varepsilon NOUN bracis-19031 102 17 _ _ NOUN bracis-19031 102 18 { { PUNCT bracis-19031 102 19 \varomega \varomega NOUN bracis-19031 102 20 } } PUNCT bracis-19031 102 21 \ \ NOUN bracis-19031 102 22 ) ) PUNCT bracis-19031 102 23 in in ADP bracis-19031 102 24 \(\varomega \(\varomega NOUN bracis-19031 102 25 \ \ NOUN bracis-19031 102 26 ) ) PUNCT bracis-19031 102 27 constraints constraint NOUN bracis-19031 102 28 . . PUNCT bracis-19031 103 1 besides besides SCONJ bracis-19031 103 2 that that PRON bracis-19031 103 3 , , PUNCT bracis-19031 103 4 find find VERB bracis-19031 103 5 an an DET bracis-19031 103 6 acceptable acceptable ADJ bracis-19031 103 7 value value NOUN bracis-19031 103 8 for for ADP bracis-19031 103 9 \(\varepsilon \(\varepsilon NOUN bracis-19031 103 10 _ _ NOUN bracis-19031 103 11 { { PUNCT bracis-19031 103 12 \varomega \varomega NOUN bracis-19031 103 13 } } PUNCT bracis-19031 103 14 \ \ NOUN bracis-19031 103 15 ) ) PUNCT bracis-19031 103 16 is be AUX bracis-19031 103 17 not not PART bracis-19031 103 18 trivial trivial ADJ bracis-19031 103 19 . . PUNCT bracis-19031 104 1 the the DET bracis-19031 104 2 multi multi ADJ bracis-19031 104 3 - - ADJ bracis-19031 104 4 interval interval ADJ bracis-19031 104 5 core core NOUN bracis-19031 104 6 proposed propose VERB bracis-19031 104 7 in in ADP bracis-19031 104 8 ogre ogre NOUN bracis-19031 104 9 is be AUX bracis-19031 104 10 also also ADV bracis-19031 104 11 used use VERB bracis-19031 104 12 in in ADP bracis-19031 104 13 inde inde PROPN bracis-19031 104 14 , , PUNCT bracis-19031 104 15 including include VERB bracis-19031 104 16 the the DET bracis-19031 104 17 local local ADJ bracis-19031 104 18 search search NOUN bracis-19031 104 19 procedure procedure NOUN bracis-19031 104 20 , , PUNCT bracis-19031 104 21 gac gac PROPN bracis-19031 104 22 contractor contractor NOUN bracis-19031 104 23 , , PUNCT bracis-19031 104 24 epiphytic epiphytic ADJ bracis-19031 104 25 decomposition decomposition NOUN bracis-19031 104 26 of of ADP bracis-19031 104 27 the the DET bracis-19031 104 28 cn cn PROPN bracis-19031 104 29 , , PUNCT bracis-19031 104 30 and and CCONJ bracis-19031 104 31 multi multi ADJ bracis-19031 104 32 - - ADJ bracis-19031 104 33 interval interval ADJ bracis-19031 104 34 operations operation NOUN bracis-19031 104 35 \(+\ \(+\ NOUN bracis-19031 104 36 ) ) PUNCT bracis-19031 104 37 , , PUNCT bracis-19031 104 38 − − PROPN bracis-19031 104 39 , , PUNCT bracis-19031 104 40 \(*\ \(*\ NOUN bracis-19031 104 41 ) ) PUNCT bracis-19031 104 42 , , PUNCT bracis-19031 104 43 / / SYM bracis-19031 104 44 , , PUNCT bracis-19031 104 45 \(\wedge \(\wedge NOUN bracis-19031 104 46 \ \ PROPN bracis-19031 104 47 ) ) PUNCT bracis-19031 104 48 and and CCONJ bracis-19031 104 49 \(\surd \(\surd ADJ bracis-19031 104 50 \ \ NOUN bracis-19031 104 51 ) ) PUNCT bracis-19031 104 52 . . PUNCT bracis-19031 105 1 2.2 2.2 NUM bracis-19031 105 2 differential differential ADJ bracis-19031 105 3 evolution evolution NOUN bracis-19031 105 4 storn storn ADJ bracis-19031 105 5 and and CCONJ bracis-19031 105 6 price price NOUN bracis-19031 105 7     SPACE bracis-19031 106 1 [ [ X bracis-19031 106 2 20 20 NUM bracis-19031 106 3 ] ] PUNCT bracis-19031 106 4 proposed propose VERB bracis-19031 106 5 differential differential NOUN bracis-19031 106 6 evolution evolution NOUN bracis-19031 106 7 ( ( PUNCT bracis-19031 106 8 de de NOUN bracis-19031 106 9 ) ) PUNCT bracis-19031 106 10 as as ADP bracis-19031 106 11 an an DET bracis-19031 106 12 evolutionary evolutionary ADJ bracis-19031 106 13 algorithm algorithm NOUN bracis-19031 106 14 that that PRON bracis-19031 106 15 combines combine VERB bracis-19031 106 16 the the DET bracis-19031 106 17 coordinates coordinate NOUN bracis-19031 106 18 of of ADP bracis-19031 106 19 existing exist VERB bracis-19031 106 20 solutions solution NOUN bracis-19031 106 21 with with ADP bracis-19031 106 22 a a DET bracis-19031 106 23 particular particular ADJ bracis-19031 106 24 probability probability NOUN bracis-19031 106 25 to to PART bracis-19031 106 26 generate generate VERB bracis-19031 106 27 new new ADJ bracis-19031 106 28 candidate candidate NOUN bracis-19031 106 29 solutions solution NOUN bracis-19031 106 30 . . PUNCT bracis-19031 107 1 the the DET bracis-19031 107 2 classical classical ADJ bracis-19031 107 3 de de ADP bracis-19031 107 4 consists consist NOUN bracis-19031 107 5 of of ADP bracis-19031 107 6 a a DET bracis-19031 107 7 loop loop NOUN bracis-19031 107 8 of of ADP bracis-19031 107 9 g g NOUN bracis-19031 107 10 generations generation NOUN bracis-19031 107 11 over over ADP bracis-19031 107 12 a a DET bracis-19031 107 13 population population NOUN bracis-19031 107 14 of of ADP bracis-19031 107 15 \ \ PROPN bracis-19031 107 16 ( ( PUNCT bracis-19031 107 17 np np INTJ bracis-19031 107 18 \ \ NOUN bracis-19031 107 19 ) ) PUNCT bracis-19031 107 20 individuals individual NOUN bracis-19031 107 21 . . PUNCT bracis-19031 108 1 an an DET bracis-19031 108 2 individual individual NOUN bracis-19031 108 3 is be AUX bracis-19031 108 4 an an DET bracis-19031 108 5 assignment assignment NOUN bracis-19031 108 6 of of ADP bracis-19031 108 7 values value NOUN bracis-19031 108 8 to to ADP bracis-19031 108 9 all all DET bracis-19031 108 10 variables variable NOUN bracis-19031 108 11 of of ADP bracis-19031 108 12 the the DET bracis-19031 108 13 instance instance NOUN bracis-19031 108 14 , , PUNCT bracis-19031 108 15 represented represent VERB bracis-19031 108 16 by by ADP bracis-19031 108 17 a a DET bracis-19031 108 18 vector vector NOUN bracis-19031 108 19 \(\texttt \(\texttt NOUN bracis-19031 108 20 { { PUNCT bracis-19031 108 21 x x NOUN bracis-19031 108 22 } } PUNCT bracis-19031 108 23 = = SYM bracis-19031 108 24 ( ( PUNCT bracis-19031 108 25 a_1 a_1 X bracis-19031 108 26 , , PUNCT bracis-19031 108 27 a_2 a_2 PROPN bracis-19031 108 28 , , PUNCT bracis-19031 108 29 \dots \dot NOUN bracis-19031 108 30 , , PUNCT bracis-19031 108 31 a_d)\ a_d)\ NOUN bracis-19031 108 32 ) ) PUNCT bracis-19031 108 33 , , PUNCT bracis-19031 108 34 where where SCONJ bracis-19031 108 35 \(a_i \(a_i ADJ bracis-19031 108 36 \in \in NOUN bracis-19031 108 37 x_i\ x_i\ PROPN bracis-19031 108 38 ) ) PUNCT bracis-19031 108 39 is be AUX bracis-19031 108 40 a a DET bracis-19031 108 41 value value NOUN bracis-19031 108 42 from from ADP bracis-19031 108 43 the the DET bracis-19031 108 44 domain domain NOUN bracis-19031 108 45 of of ADP bracis-19031 108 46 the the DET bracis-19031 108 47 variable variable ADJ bracis-19031 108 48 \(x_i\ \(x_i\ NOUN bracis-19031 108 49 ) ) PUNCT bracis-19031 108 50 , , PUNCT bracis-19031 108 51 \(1 \(1 PROPN bracis-19031 108 52 \le \le PROPN bracis-19031 108 53 i i NOUN bracis-19031 108 54 \le \le PROPN bracis-19031 108 55 d\ d\ NOUN bracis-19031 108 56 ) ) PUNCT bracis-19031 108 57 . . PUNCT bracis-19031 109 1 the the DET bracis-19031 109 2 fitness fitness NOUN bracis-19031 109 3 evaluation evaluation NOUN bracis-19031 109 4 of of ADP bracis-19031 109 5 an an DET bracis-19031 109 6 individual individual NOUN bracis-19031 109 7 is be AUX bracis-19031 109 8 responsible responsible ADJ bracis-19031 109 9 for for ADP bracis-19031 109 10 determinate determinate VERB bracis-19031 109 11 its its PRON bracis-19031 109 12 quality quality NOUN bracis-19031 109 13 throughout throughout ADP bracis-19031 109 14 the the DET bracis-19031 109 15 evolutionary evolutionary ADJ bracis-19031 109 16 process process NOUN bracis-19031 109 17 . . PUNCT bracis-19031 110 1 the the DET bracis-19031 110 2 initial initial ADJ bracis-19031 110 3 population population NOUN bracis-19031 110 4 is be AUX bracis-19031 110 5 randomly randomly ADV bracis-19031 110 6 generated generate VERB bracis-19031 110 7 according accord VERB bracis-19031 110 8 to to ADP bracis-19031 110 9 a a DET bracis-19031 110 10 uniform uniform ADJ bracis-19031 110 11 distribution distribution NOUN bracis-19031 110 12 over over ADP bracis-19031 110 13 \(x_1 \(x_1 PROPN bracis-19031 110 14 \times \time NOUN bracis-19031 110 15 \dots \dot NOUN bracis-19031 110 16 \times \time VERB bracis-19031 110 17 x_d\ x_d\ NOUN bracis-19031 110 18 ) ) PUNCT bracis-19031 110 19 . . PUNCT bracis-19031 111 1 during during ADP bracis-19031 111 2 each each DET bracis-19031 111 3 generation generation NOUN bracis-19031 111 4 , , PUNCT bracis-19031 111 5 the the DET bracis-19031 111 6 operators operator NOUN bracis-19031 111 7 of of ADP bracis-19031 111 8 mutation mutation NOUN bracis-19031 111 9 , , PUNCT bracis-19031 111 10 crossover crossover NOUN bracis-19031 111 11 and and CCONJ bracis-19031 111 12 selection selection NOUN bracis-19031 111 13 are be AUX bracis-19031 111 14 performed perform VERB bracis-19031 111 15 on on ADP bracis-19031 111 16 the the DET bracis-19031 111 17 population population NOUN bracis-19031 111 18 until until SCONJ bracis-19031 111 19 a a DET bracis-19031 111 20 termination termination NOUN bracis-19031 111 21 condition condition NOUN bracis-19031 111 22 is be AUX bracis-19031 111 23 satisfied satisfied ADJ bracis-19031 111 24 , , PUNCT bracis-19031 111 25 like like ADP bracis-19031 111 26 a a DET bracis-19031 111 27 fixed fix VERB bracis-19031 111 28 maximum maximum ADJ bracis-19031 111 29 number number NOUN bracis-19031 111 30 of of ADP bracis-19031 111 31 fitness fitness NOUN bracis-19031 111 32 evaluations evaluation NOUN bracis-19031 111 33 ( ( PUNCT bracis-19031 111 34 \ \ PROPN bracis-19031 111 35 ( ( PUNCT bracis-19031 111 36 maxfes maxfe NOUN bracis-19031 111 37 \ \ NOUN bracis-19031 111 38 ) ) PUNCT bracis-19031 111 39 ) ) PUNCT bracis-19031 111 40 . . PUNCT bracis-19031 112 1 in in ADP bracis-19031 112 2 the the DET bracis-19031 112 3 mutation mutation NOUN bracis-19031 112 4 phase phase NOUN bracis-19031 112 5 , , PUNCT bracis-19031 112 6 an an DET bracis-19031 112 7 operator operator NOUN bracis-19031 112 8 is be AUX bracis-19031 112 9 applied apply VERB bracis-19031 112 10 to to PART bracis-19031 112 11 generate generate VERB bracis-19031 112 12 a a DET bracis-19031 112 13 mutant mutant ADJ bracis-19031 112 14 vector vector NOUN bracis-19031 112 15 \(\texttt \(\texttt NOUN bracis-19031 112 16 { { PUNCT bracis-19031 112 17 v}_i\ v}_i\ NOUN bracis-19031 112 18 ) ) PUNCT bracis-19031 112 19 for for ADP bracis-19031 112 20 each each DET bracis-19031 112 21 individual individual ADJ bracis-19031 112 22 \(\texttt \(\texttt NOUN bracis-19031 112 23 { { PUNCT bracis-19031 112 24 x}_i\ x}_i\ NOUN bracis-19031 112 25 ) ) PUNCT bracis-19031 112 26 ( ( PUNCT bracis-19031 112 27 called call VERB bracis-19031 112 28 target target NOUN bracis-19031 112 29 vector vector NOUN bracis-19031 112 30 ) ) PUNCT bracis-19031 112 31 of of ADP bracis-19031 112 32 the the DET bracis-19031 112 33 population population NOUN bracis-19031 112 34 . . PUNCT bracis-19031 113 1 the the DET bracis-19031 113 2 most most ADV bracis-19031 113 3 popular popular ADJ bracis-19031 113 4 mutation mutation NOUN bracis-19031 113 5 operator operator NOUN bracis-19031 113 6 is be AUX bracis-19031 113 7 de de NOUN bracis-19031 113 8 / / SYM bracis-19031 113 9 rand/1 rand/1 NOUN bracis-19031 113 10 and and CCONJ bracis-19031 113 11 is be AUX bracis-19031 113 12 defined define VERB bracis-19031 113 13 by by ADP bracis-19031 113 14 : : PUNCT bracis-19031 113 15 $ $ SYM bracis-19031 113 16 $ $ SYM bracis-19031 113 17 \begin{aligned \begin{aligne VERB bracis-19031 113 18 } } PUNCT bracis-19031 113 19 \texttt \texttt PROPN bracis-19031 113 20 { { PUNCT bracis-19031 113 21 v}_i v}_i ADV bracis-19031 113 22 = = SYM bracis-19031 113 23 \texttt \texttt PROPN bracis-19031 113 24 { { PUNCT bracis-19031 113 25 r}_{1 r}_{1 PROPN bracis-19031 113 26 } } PUNCT bracis-19031 113 27 + + NUM bracis-19031 113 28 f f X bracis-19031 113 29 \cdot \cdot NOUN bracis-19031 113 30 ( ( PUNCT bracis-19031 113 31 \texttt \texttt PROPN bracis-19031 113 32 { { PUNCT bracis-19031 113 33 r}_{2 r}_{2 VERB bracis-19031 113 34 } } PUNCT bracis-19031 113 35 \texttt \texttt PROPN bracis-19031 113 36 { { PUNCT bracis-19031 113 37 r}_{3 r}_{3 NOUN bracis-19031 113 38 } } PUNCT bracis-19031 113 39 ) ) PUNCT bracis-19031 113 40 , , PUNCT bracis-19031 113 41 \end{aligned}$$ \end{aligned}$$ X bracis-19031 113 42 ( ( PUNCT bracis-19031 113 43 1 1 NUM bracis-19031 113 44 ) ) PUNCT bracis-19031 113 45 where where SCONJ bracis-19031 113 46 f f PROPN bracis-19031 113 47 is be AUX bracis-19031 113 48 the the DET bracis-19031 113 49 scaling scaling ADJ bracis-19031 113 50 factor factor NOUN bracis-19031 113 51 and and CCONJ bracis-19031 113 52 \(\texttt \(\texttt NOUN bracis-19031 113 53 { { PUNCT bracis-19031 113 54 r}_{1}\ r}_{1}\ PROPN bracis-19031 113 55 ) ) PUNCT bracis-19031 113 56 , , PUNCT bracis-19031 113 57 \(\texttt \(\texttt X bracis-19031 113 58 { { PUNCT bracis-19031 113 59 r}_{2}\ r}_{2}\ PROPN bracis-19031 113 60 ) ) PUNCT bracis-19031 113 61 and and CCONJ bracis-19031 113 62 \(\texttt \(\texttt NOUN bracis-19031 113 63 { { PUNCT bracis-19031 113 64 r}_{3}\ r}_{3}\ PROPN bracis-19031 113 65 ) ) PUNCT bracis-19031 113 66 are be AUX bracis-19031 113 67 three three NUM bracis-19031 113 68 mutually mutually ADV bracis-19031 113 69 distinct distinct ADJ bracis-19031 113 70 individuals individual NOUN bracis-19031 113 71 randomly randomly ADV bracis-19031 113 72 selected select VERB bracis-19031 113 73 from from ADP bracis-19031 113 74 the the DET bracis-19031 113 75 population population NOUN bracis-19031 113 76 . . PUNCT bracis-19031 114 1 other other ADJ bracis-19031 114 2 popular popular ADJ bracis-19031 114 3 mutation mutation NOUN bracis-19031 114 4 operators operator NOUN bracis-19031 114 5 are be AUX bracis-19031 114 6 used use VERB bracis-19031 114 7 in in ADP bracis-19031 114 8 this this DET bracis-19031 114 9 work work NOUN bracis-19031 114 10 , , PUNCT bracis-19031 114 11 such such ADJ bracis-19031 114 12 as as ADP bracis-19031 114 13 de de NOUN bracis-19031 114 14 / / SYM bracis-19031 114 15 current current ADJ bracis-19031 114 16 - - PUNCT bracis-19031 114 17 to to ADP bracis-19031 114 18 - - PUNCT bracis-19031 114 19 rand/1 rand/1 NOUN bracis-19031 114 20 ( ( PUNCT bracis-19031 114 21 eq eq NOUN bracis-19031 114 22 . . PUNCT bracis-19031 114 23     SPACE bracis-19031 114 24 2 2 NUM bracis-19031 114 25 ) ) PUNCT bracis-19031 114 26     SPACE bracis-19031 115 1 [ [ X bracis-19031 115 2 12 12 NUM bracis-19031 115 3 ] ] PUNCT bracis-19031 115 4 and and CCONJ bracis-19031 115 5 de de ADJ bracis-19031 115 6 / / SYM bracis-19031 115 7 current current ADJ bracis-19031 115 8 - - PUNCT bracis-19031 115 9 to to ADP bracis-19031 115 10 - - PUNCT bracis-19031 115 11 pbest/1 pbest/1 NOUN bracis-19031 115 12 ( ( PUNCT bracis-19031 115 13 eq eq NOUN bracis-19031 115 14 . . PUNCT bracis-19031 115 15     SPACE bracis-19031 115 16 3 3 NUM bracis-19031 115 17 ) ) PUNCT bracis-19031 115 18     SPACE bracis-19031 116 1 [ [ X bracis-19031 116 2 29 29 NUM bracis-19031 116 3 ] ] SYM bracis-19031 116 4 : : PUNCT bracis-19031 116 5 $ $ SYM bracis-19031 116 6 $ $ SYM bracis-19031 116 7 \begin{aligned \begin{aligne VERB bracis-19031 116 8 } } PUNCT bracis-19031 116 9 \texttt \texttt PROPN bracis-19031 116 10 { { PUNCT bracis-19031 116 11 v}_{i}&= v}_{i}&= PROPN bracis-19031 116 12 \texttt \texttt PROPN bracis-19031 116 13 { { PUNCT bracis-19031 116 14 x}_{i x}_{i PART bracis-19031 116 15 } } PUNCT bracis-19031 116 16 + + PRON bracis-19031 116 17 s s VERB bracis-19031 116 18 \cdot \cdot NOUN bracis-19031 116 19 ( ( PUNCT bracis-19031 116 20 \texttt \texttt PROPN bracis-19031 116 21 { { PUNCT bracis-19031 116 22 r}_{1 r}_{1 PROPN bracis-19031 116 23 } } PUNCT bracis-19031 116 24 \texttt \texttt PROPN bracis-19031 116 25 { { PUNCT bracis-19031 116 26 x}_{i x}_{i X bracis-19031 116 27 } } PUNCT bracis-19031 116 28 ) ) PUNCT bracis-19031 117 1 + + CCONJ bracis-19031 117 2 f f X bracis-19031 117 3 \cdot \cdot NOUN bracis-19031 117 4 ( ( PUNCT bracis-19031 117 5 \texttt \texttt PROPN bracis-19031 117 6 { { PUNCT bracis-19031 117 7 r}_{2 r}_{2 VERB bracis-19031 117 8 } } PUNCT bracis-19031 117 9 \texttt \texttt PROPN bracis-19031 117 10 { { PUNCT bracis-19031 117 11 r}_{3 r}_{3 NOUN bracis-19031 117 12 } } PUNCT bracis-19031 117 13 ) ) PUNCT bracis-19031 117 14 , , PUNCT bracis-19031 117 15 \end{aligned}$$ \end{aligned}$$ X bracis-19031 117 16 ( ( PUNCT bracis-19031 117 17 2 2 NUM bracis-19031 117 18 ) ) PUNCT bracis-19031 117 19 $ $ SYM bracis-19031 117 20 $ $ SYM bracis-19031 117 21 \begin{aligned \begin{aligne VERB bracis-19031 117 22 } } PUNCT bracis-19031 117 23 \texttt \texttt PROPN bracis-19031 117 24 { { PUNCT bracis-19031 117 25 v}_{i}&= v}_{i}&= PROPN bracis-19031 117 26 \texttt \texttt PROPN bracis-19031 117 27 { { PUNCT bracis-19031 117 28 x}_{i x}_{i PART bracis-19031 117 29 } } PUNCT bracis-19031 117 30 + + NUM bracis-19031 117 31 f f X bracis-19031 117 32 \cdot \cdot NOUN bracis-19031 117 33 ( ( PUNCT bracis-19031 117 34 \texttt \texttt PROPN bracis-19031 117 35 { { PUNCT bracis-19031 117 36 r}_{\text r}_{\text PROPN bracis-19031 117 37 { { PUNCT bracis-19031 117 38 pbest pbest NOUN bracis-19031 117 39 } } PUNCT bracis-19031 117 40 } } PUNCT bracis-19031 117 41 \texttt \texttt PROPN bracis-19031 117 42 { { PUNCT bracis-19031 117 43 x}_{i x}_{i X bracis-19031 117 44 } } PUNCT bracis-19031 117 45 ) ) PUNCT bracis-19031 118 1 + + CCONJ bracis-19031 118 2 f f X bracis-19031 118 3 \cdot \cdot NOUN bracis-19031 118 4 ( ( PUNCT bracis-19031 118 5 \texttt \texttt PROPN bracis-19031 118 6 { { PUNCT bracis-19031 118 7 r}_{1 r}_{1 PROPN bracis-19031 118 8 } } PUNCT bracis-19031 118 9 \texttt \texttt PROPN bracis-19031 118 10 { { PUNCT bracis-19031 118 11 r}_{2 r}_{2 VERB bracis-19031 118 12 } } PUNCT bracis-19031 118 13 ) ) PUNCT bracis-19031 118 14 , , PUNCT bracis-19031 118 15 \end{aligned}$$ \end{aligned}$$ X bracis-19031 118 16 ( ( PUNCT bracis-19031 118 17 3 3 NUM bracis-19031 118 18 ) ) PUNCT bracis-19031 118 19 where where SCONJ bracis-19031 118 20 s s NOUN bracis-19031 118 21 is be AUX bracis-19031 118 22 a a DET bracis-19031 118 23 uniformly uniformly ADV bracis-19031 118 24 distributed distribute VERB bracis-19031 118 25 random random ADJ bracis-19031 118 26 number number NOUN bracis-19031 118 27 between between ADP bracis-19031 118 28 0 0 NUM bracis-19031 118 29 and and CCONJ bracis-19031 118 30 1 1 NUM bracis-19031 118 31 , , PUNCT bracis-19031 118 32 p p PRON bracis-19031 118 33 is be AUX bracis-19031 118 34 a a DET bracis-19031 118 35 value value NOUN bracis-19031 118 36 in in ADP bracis-19031 118 37 \([1 \([1 PROPN bracis-19031 118 38 , , PUNCT bracis-19031 118 39 np np X bracis-19031 118 40 ] ] PUNCT bracis-19031 118 41 \ \ ADJ bracis-19031 118 42 ) ) PUNCT bracis-19031 118 43 , , PUNCT bracis-19031 118 44 and and CCONJ bracis-19031 118 45 \(\texttt \(\texttt NOUN bracis-19031 118 46 { { PUNCT bracis-19031 118 47 r}_{\text r}_{\text NOUN bracis-19031 118 48 { { PUNCT bracis-19031 118 49 pbest}}\ pbest}}\ PROPN bracis-19031 118 50 ) ) PUNCT bracis-19031 118 51 is be AUX bracis-19031 118 52 an an DET bracis-19031 118 53 individual individual NOUN bracis-19031 118 54 randomly randomly ADV bracis-19031 118 55 chosen choose VERB bracis-19031 118 56 from from ADP bracis-19031 118 57 the the DET bracis-19031 118 58 p p NOUN bracis-19031 118 59 best good ADJ bracis-19031 118 60 individuals individual NOUN bracis-19031 118 61 of of ADP bracis-19031 118 62 the the DET bracis-19031 118 63 current current ADJ bracis-19031 118 64 population population NOUN bracis-19031 118 65 . . PUNCT bracis-19031 119 1 a a DET bracis-19031 119 2 crossover crossover NOUN bracis-19031 119 3 search search NOUN bracis-19031 119 4 operator operator NOUN bracis-19031 119 5 is be AUX bracis-19031 119 6 applied apply VERB bracis-19031 119 7 on on ADP bracis-19031 119 8 the the DET bracis-19031 119 9 mutant mutant ADJ bracis-19031 119 10 individual individual ADJ bracis-19031 119 11 \(\texttt \(\texttt NOUN bracis-19031 119 12 { { PUNCT bracis-19031 119 13 v}_i\ v}_i\ NOUN bracis-19031 119 14 ) ) PUNCT bracis-19031 119 15 to to PART bracis-19031 119 16 produce produce VERB bracis-19031 119 17 a a DET bracis-19031 119 18 new new ADJ bracis-19031 119 19 solution solution NOUN bracis-19031 119 20 \(\texttt \(\texttt NOUN bracis-19031 119 21 { { PUNCT bracis-19031 119 22 u}_i\ u}_i\ NOUN bracis-19031 119 23 ) ) PUNCT bracis-19031 119 24 , , PUNCT bracis-19031 119 25 called call VERB bracis-19031 119 26 trial trial NOUN bracis-19031 119 27 vector vector NOUN bracis-19031 119 28 , , PUNCT bracis-19031 119 29 given give VERB bracis-19031 119 30 a a DET bracis-19031 119 31 probability probability NOUN bracis-19031 119 32 defined define VERB bracis-19031 119 33 by by ADP bracis-19031 119 34 the the DET bracis-19031 119 35 crossover crossover NOUN bracis-19031 119 36 rate rate NOUN bracis-19031 119 37 \ \ PROPN bracis-19031 119 38 ( ( PUNCT bracis-19031 119 39 cr cr NOUN bracis-19031 119 40 \ \ NOUN bracis-19031 119 41 ) ) PUNCT bracis-19031 119 42 . . PUNCT bracis-19031 120 1 in in ADP bracis-19031 120 2 the the DET bracis-19031 120 3 exponential exponential ADJ bracis-19031 120 4 crossover crossover NOUN bracis-19031 120 5 used use VERB bracis-19031 120 6 in in ADP bracis-19031 120 7 this this DET bracis-19031 120 8 work work NOUN bracis-19031 120 9 , , PUNCT bracis-19031 120 10 we we PRON bracis-19031 120 11 first first ADV bracis-19031 120 12 choose choose VERB bracis-19031 120 13 an an DET bracis-19031 120 14 integer integer NOUN bracis-19031 120 15 \(d \(d NOUN bracis-19031 120 16 \in \in NOUN bracis-19031 120 17 [ [ X bracis-19031 120 18 1 1 NUM bracis-19031 120 19 , , PUNCT bracis-19031 120 20 d]\ d]\ NOUN bracis-19031 120 21 ) ) PUNCT bracis-19031 120 22 to to PART bracis-19031 120 23 be be AUX bracis-19031 120 24 the the DET bracis-19031 120 25 starting starting NOUN bracis-19031 120 26 point point NOUN bracis-19031 120 27 of of ADP bracis-19031 120 28 the the DET bracis-19031 120 29 target target NOUN bracis-19031 120 30 vector vector NOUN bracis-19031 120 31 for for ADP bracis-19031 120 32 crossover crossover NOUN bracis-19031 120 33 . . PUNCT bracis-19031 121 1 we we PRON bracis-19031 121 2 also also ADV bracis-19031 121 3 determine determine VERB bracis-19031 121 4 another another DET bracis-19031 121 5 integer integer NOUN bracis-19031 121 6 value value NOUN bracis-19031 121 7 l l NOUN bracis-19031 121 8 chosen choose VERB bracis-19031 121 9 from from ADP bracis-19031 121 10 [ [ X bracis-19031 121 11 1 1 NUM bracis-19031 121 12 , , PUNCT bracis-19031 121 13     SPACE bracis-19031 121 14 d d X bracis-19031 121 15 ] ] X bracis-19031 121 16 with with ADP bracis-19031 121 17 probability probability NOUN bracis-19031 121 18 \(\mathsf \(\mathsf NOUN bracis-19031 121 19 { { PUNCT bracis-19031 121 20 p}(l p}(l PROPN bracis-19031 121 21 \ge \ge PROPN bracis-19031 121 22 l l NOUN bracis-19031 121 23 ) ) PUNCT bracis-19031 121 24 = = SYM bracis-19031 121 25 cr cr NOUN bracis-19031 121 26 ^{l-1}\ ^{l-1}\ NUM bracis-19031 121 27 ) ) PUNCT bracis-19031 121 28 for for ADP bracis-19031 121 29 any any DET bracis-19031 121 30 \(l \(l NOUN bracis-19031 121 31 > > X bracis-19031 121 32 0\ 0\ PROPN bracis-19031 121 33 ) ) PUNCT bracis-19031 121 34 which which PRON bracis-19031 121 35 denotes denote VERB bracis-19031 121 36 how how SCONJ bracis-19031 121 37 many many ADJ bracis-19031 121 38 consecutive consecutive ADJ bracis-19031 121 39 decision decision NOUN bracis-19031 121 40 variables variable NOUN bracis-19031 121 41 are be AUX bracis-19031 121 42 selected select VERB bracis-19031 121 43 from from ADP bracis-19031 121 44 the the DET bracis-19031 121 45 mutant mutant ADJ bracis-19031 121 46 vector vector NOUN bracis-19031 121 47 starting start VERB bracis-19031 121 48 at at ADP bracis-19031 121 49 d d NOUN bracis-19031 121 50 position position NOUN bracis-19031 121 51 . . PUNCT bracis-19031 122 1 then then ADV bracis-19031 122 2 , , PUNCT bracis-19031 122 3 the the DET bracis-19031 122 4 offspring offspring NOUN bracis-19031 122 5 is be AUX bracis-19031 122 6 generated generate VERB bracis-19031 122 7 as as SCONJ bracis-19031 122 8 follows follow VERB bracis-19031 122 9 : : PUNCT bracis-19031 123 1 $ $ SYM bracis-19031 123 2 $ $ SYM bracis-19031 123 3 \begin{aligned \begin{aligne VERB bracis-19031 123 4 } } PUNCT bracis-19031 123 5 \texttt \texttt PROPN bracis-19031 123 6 { { PUNCT bracis-19031 123 7 u}_{ij u}_{ij NOUN bracis-19031 123 8 } } PUNCT bracis-19031 123 9 = = SYM bracis-19031 123 10 { { PUNCT bracis-19031 123 11 \left\ \left\ PROPN bracis-19031 123 12 { { PUNCT bracis-19031 123 13 \begin{array}{ll \begin{array}{ll PROPN bracis-19031 123 14 } } PUNCT bracis-19031 123 15 \texttt \texttt PROPN bracis-19031 123 16 { { PUNCT bracis-19031 123 17 v}_{ij v}_{ij NOUN bracis-19031 123 18 } } PUNCT bracis-19031 123 19 , , PUNCT bracis-19031 123 20 & & CCONJ bracis-19031 123 21 { { PUNCT bracis-19031 123 22 } } PUNCT bracis-19031 123 23 \text \text ADV bracis-19031 123 24 { { PUNCT bracis-19031 123 25 if if SCONJ bracis-19031 123 26 } } PUNCT bracis-19031 123 27 j j PROPN bracis-19031 123 28 \in \in PROPN bracis-19031 123 29 \ \ PROPN bracis-19031 123 30 { { PUNCT bracis-19031 123 31 m_d(d m_d(d NOUN bracis-19031 123 32 ) ) PUNCT bracis-19031 123 33 , , PUNCT bracis-19031 123 34 m_d(d+1 m_d(d+1 NOUN bracis-19031 123 35 ) ) PUNCT bracis-19031 123 36 , , PUNCT bracis-19031 123 37 \dots \dot NOUN bracis-19031 123 38 , , PUNCT bracis-19031 123 39 m_d(d m_d(d NOUN bracis-19031 123 40 + + X bracis-19031 123 41 l-1 l-1 X bracis-19031 123 42 ) ) PUNCT bracis-19031 123 43 \},\\ \},\\ NOUN bracis-19031 124 1 \texttt \texttt PROPN bracis-19031 124 2 { { PUNCT bracis-19031 124 3 x}_{ij x}_{ij PROPN bracis-19031 124 4 } } PUNCT bracis-19031 124 5 , , PUNCT bracis-19031 124 6 & & CCONJ bracis-19031 124 7 { { PUNCT bracis-19031 124 8 } } PUNCT bracis-19031 124 9 \text \text ADV bracis-19031 124 10 { { PUNCT bracis-19031 124 11 otherwise otherwise ADV bracis-19031 124 12 , , PUNCT bracis-19031 124 13 } } PUNCT bracis-19031 124 14 \end{array}\right \end{array}\right PROPN bracis-19031 124 15 . . PUNCT bracis-19031 124 16 } } PUNCT bracis-19031 124 17 \end{aligned}$$ \end{aligned}$$ ADP bracis-19031 124 18 where where SCONJ bracis-19031 124 19 \(m_d(n \(m_d(n VERB bracis-19031 124 20 ) ) PUNCT bracis-19031 124 21 = = SYM bracis-19031 124 22 1 1 NUM bracis-19031 124 23 + + CCONJ bracis-19031 124 24 ( ( PUNCT bracis-19031 124 25 ( ( PUNCT bracis-19031 124 26 n n NOUN bracis-19031 124 27 1 1 NUM bracis-19031 124 28 ) ) PUNCT bracis-19031 124 29 \mod \mod PROPN bracis-19031 124 30 d)\ d)\ ADV bracis-19031 124 31 ) ) PUNCT bracis-19031 124 32 allows allow VERB bracis-19031 124 33 to to PART bracis-19031 124 34 iterate iterate VERB bracis-19031 124 35 cyclically cyclically ADV bracis-19031 124 36 through through ADP bracis-19031 124 37 the the DET bracis-19031 124 38 vector vector NOUN bracis-19031 124 39 . . PUNCT bracis-19031 125 1 finally finally ADV bracis-19031 125 2 , , PUNCT bracis-19031 125 3 a a DET bracis-19031 125 4 selection selection NOUN bracis-19031 125 5 operator operator NOUN bracis-19031 125 6 is be AUX bracis-19031 125 7 performed perform VERB bracis-19031 125 8 on on ADP bracis-19031 125 9 \(\texttt \(\texttt NOUN bracis-19031 125 10 { { PUNCT bracis-19031 125 11 x}_i\ x}_i\ NOUN bracis-19031 125 12 ) ) PUNCT bracis-19031 125 13 and and CCONJ bracis-19031 125 14 \(\texttt \(\texttt NOUN bracis-19031 125 15 { { PUNCT bracis-19031 125 16 u}_i\ u}_i\ NOUN bracis-19031 125 17 ) ) PUNCT bracis-19031 125 18 , , PUNCT bracis-19031 125 19 and and CCONJ bracis-19031 125 20 the the DET bracis-19031 125 21 best good ADJ bracis-19031 125 22 one one NUM bracis-19031 125 23 according accord VERB bracis-19031 125 24 to to ADP bracis-19031 125 25 a a DET bracis-19031 125 26 fitness fitness NOUN bracis-19031 125 27 evaluation evaluation NOUN bracis-19031 125 28 function function NOUN bracis-19031 125 29 is be AUX bracis-19031 125 30 chosen choose VERB bracis-19031 125 31 for for ADP bracis-19031 125 32 the the DET bracis-19031 125 33 next next ADJ bracis-19031 125 34 generation generation NOUN bracis-19031 125 35 . . PUNCT bracis-19031 126 1 3 3 NUM bracis-19031 126 2 improved improve VERB bracis-19031 126 3 interval interval NOUN bracis-19031 126 4 differential differential NOUN bracis-19031 126 5 evolution evolution NOUN bracis-19031 126 6 in in ADP bracis-19031 126 7 this this DET bracis-19031 126 8 section section NOUN bracis-19031 126 9 we we PRON bracis-19031 126 10 describe describe VERB bracis-19031 126 11 details detail NOUN bracis-19031 126 12 of of ADP bracis-19031 126 13 our our PRON bracis-19031 126 14 approach approach NOUN bracis-19031 126 15 , , PUNCT bracis-19031 126 16 called call VERB bracis-19031 126 17 i2de i2de PROPN bracis-19031 126 18 , , PUNCT bracis-19031 126 19 and and CCONJ bracis-19031 126 20 emphasize emphasize VERB bracis-19031 126 21 the the DET bracis-19031 126 22 improvements improvement NOUN bracis-19031 126 23 and and CCONJ bracis-19031 126 24 differences difference NOUN bracis-19031 126 25 from from ADP bracis-19031 126 26 the the DET bracis-19031 126 27 work work NOUN bracis-19031 126 28 presented present VERB bracis-19031 126 29 in in ADP bracis-19031 126 30     SPACE bracis-19031 126 31 [ [ X bracis-19031 126 32 5 5 NUM bracis-19031 126 33 ] ] PUNCT bracis-19031 126 34 which which PRON bracis-19031 126 35 introduced introduce VERB bracis-19031 126 36 the the DET bracis-19031 126 37 inde inde PROPN bracis-19031 126 38 solver solver NOUN bracis-19031 126 39 , , PUNCT bracis-19031 126 40 an an DET bracis-19031 126 41 interval interval NOUN bracis-19031 126 42 differential differential NOUN bracis-19031 126 43 evolution evolution NOUN bracis-19031 126 44 approach approach NOUN bracis-19031 126 45 that that PRON bracis-19031 126 46 uses use VERB bracis-19031 126 47 structural structural ADJ bracis-19031 126 48 information information NOUN bracis-19031 126 49 for for ADP bracis-19031 126 50 global global ADJ bracis-19031 126 51 optimization optimization NOUN bracis-19031 126 52 . . PUNCT bracis-19031 127 1 one one NUM bracis-19031 127 2 of of ADP bracis-19031 127 3 the the DET bracis-19031 127 4 main main ADJ bracis-19031 127 5 contributions contribution NOUN bracis-19031 127 6 of of ADP bracis-19031 127 7 our our PRON bracis-19031 127 8 work work NOUN bracis-19031 127 9 is be AUX bracis-19031 127 10 the the DET bracis-19031 127 11 extension extension NOUN bracis-19031 127 12 of of ADP bracis-19031 127 13 operations operation NOUN bracis-19031 127 14 supported support VERB bracis-19031 127 15 by by ADP bracis-19031 127 16 ogre ogre NOUN bracis-19031 127 17 ’s ’s PART bracis-19031 127 18 multi multi ADJ bracis-19031 127 19 - - ADJ bracis-19031 127 20 interval interval ADJ bracis-19031 127 21 core core NOUN bracis-19031 127 22 . . PUNCT bracis-19031 128 1 previously previously ADV bracis-19031 128 2 , , PUNCT bracis-19031 128 3 it it PRON bracis-19031 128 4 was be AUX bracis-19031 128 5 only only ADV bracis-19031 128 6 possible possible ADJ bracis-19031 128 7 to to PART bracis-19031 128 8 tackle tackle VERB bracis-19031 128 9 instances instance NOUN bracis-19031 128 10 restricted restrict VERB bracis-19031 128 11 to to ADP bracis-19031 128 12 operations operation NOUN bracis-19031 128 13 \(+\ \(+\ NOUN bracis-19031 128 14 ) ) PUNCT bracis-19031 128 15 , , PUNCT bracis-19031 128 16 − − PROPN bracis-19031 128 17 , , PUNCT bracis-19031 128 18 \(*\ \(*\ NOUN bracis-19031 128 19 ) ) PUNCT bracis-19031 128 20 , , PUNCT bracis-19031 128 21 / / SYM bracis-19031 128 22 , , PUNCT bracis-19031 128 23 \(\wedge \(\wedge NOUN bracis-19031 128 24 \ \ PROPN bracis-19031 128 25 ) ) PUNCT bracis-19031 128 26 and and CCONJ bracis-19031 128 27 \(\surd \(\surd ADJ bracis-19031 128 28 \ \ NOUN bracis-19031 128 29 ) ) PUNCT bracis-19031 128 30 . . PUNCT bracis-19031 129 1 we we PRON bracis-19031 129 2 extended extend VERB bracis-19031 129 3 the the DET bracis-19031 129 4 multi multi ADJ bracis-19031 129 5 - - ADJ bracis-19031 129 6 interval interval ADJ bracis-19031 129 7 implementation implementation NOUN bracis-19031 129 8 for for ADP bracis-19031 129 9 handling handle VERB bracis-19031 129 10 the the DET bracis-19031 129 11 following follow VERB bracis-19031 129 12 additional additional ADJ bracis-19031 129 13 operations operation NOUN bracis-19031 129 14 : : PUNCT bracis-19031 129 15 log log NOUN bracis-19031 129 16 , , PUNCT bracis-19031 129 17 exp exp NOUN bracis-19031 129 18 , , PUNCT bracis-19031 129 19 sin sin NOUN bracis-19031 129 20 , , PUNCT bracis-19031 129 21 cos cos PROPN bracis-19031 129 22 , , PUNCT bracis-19031 129 23 tan tan PROPN bracis-19031 129 24 , , PUNCT bracis-19031 129 25 abs ab NOUN bracis-19031 129 26 , , PUNCT bracis-19031 129 27 sign sign NOUN bracis-19031 129 28 , , PUNCT bracis-19031 129 29 max max PROPN bracis-19031 129 30 and and CCONJ bracis-19031 129 31 min min PROPN bracis-19031 129 32 . . PROPN bracis-19031 129 33 considering consider VERB bracis-19031 129 34 the the DET bracis-19031 129 35 new new ADJ bracis-19031 129 36 operations operation NOUN bracis-19031 129 37 , , PUNCT bracis-19031 129 38 we we PRON bracis-19031 129 39 implemented implement VERB bracis-19031 129 40 a a DET bracis-19031 129 41 new new ADJ bracis-19031 129 42 procedure procedure NOUN bracis-19031 129 43 to to PART bracis-19031 129 44 identify identify VERB bracis-19031 129 45 the the DET bracis-19031 129 46 tolerance tolerance NOUN bracis-19031 129 47 \(\varepsilon \(\varepsilon NOUN bracis-19031 129 48 _ _ NOUN bracis-19031 129 49 { { PUNCT bracis-19031 129 50 \varomega \varomega NOUN bracis-19031 129 51 } } PUNCT bracis-19031 129 52 \ \ NOUN bracis-19031 129 53 ) ) PUNCT bracis-19031 129 54 needed need VERB bracis-19031 129 55 to to PART bracis-19031 129 56 approximate approximate VERB bracis-19031 129 57 rac rac PROPN bracis-19031 129 58 . . PUNCT bracis-19031 130 1 for for ADP bracis-19031 130 2 example example NOUN bracis-19031 130 3 , , PUNCT bracis-19031 130 4 given give VERB bracis-19031 130 5 a a DET bracis-19031 130 6 constraint constraint NOUN bracis-19031 130 7 \(x \(x NOUN bracis-19031 130 8 = = PUNCT bracis-19031 130 9 y y PROPN bracis-19031 130 10 \circ \circ PROPN bracis-19031 130 11 z\ z\ NUM bracis-19031 130 12 ) ) PUNCT bracis-19031 130 13 , , PUNCT bracis-19031 130 14 this this DET bracis-19031 130 15 tolerance tolerance NOUN bracis-19031 130 16 is be AUX bracis-19031 130 17 the the DET bracis-19031 130 18 maximum maximum ADJ bracis-19031 130 19 distance distance NOUN bracis-19031 130 20 between between ADP bracis-19031 130 21 any any DET bracis-19031 130 22 value value NOUN bracis-19031 130 23 of of ADP bracis-19031 130 24 the the DET bracis-19031 130 25 multi multi ADJ bracis-19031 130 26 - - NOUN bracis-19031 130 27 interval interval ADJ bracis-19031 130 28 \(\mathcal \(\mathcal ADJ bracis-19031 130 29 { { PUNCT bracis-19031 130 30 y y NOUN bracis-19031 130 31 } } PUNCT bracis-19031 130 32 \circ \circ PROPN bracis-19031 130 33 \mathcal \mathcal PROPN bracis-19031 130 34 { { PUNCT bracis-19031 130 35 z}\ z}\ NOUN bracis-19031 130 36 ) ) PUNCT bracis-19031 130 37 to to ADP bracis-19031 130 38 its its PRON bracis-19031 130 39 closest close ADJ bracis-19031 130 40 value value NOUN bracis-19031 130 41 in in ADP bracis-19031 130 42 the the DET bracis-19031 130 43 multi multi ADJ bracis-19031 130 44 - - NOUN bracis-19031 130 45 interval interval ADJ bracis-19031 130 46 \(\mathcal \(\mathcal ADJ bracis-19031 130 47 { { PUNCT bracis-19031 130 48 x}\ x}\ PROPN bracis-19031 130 49 ) ) PUNCT bracis-19031 130 50 . . PUNCT bracis-19031 131 1 however however ADV bracis-19031 131 2 , , PUNCT bracis-19031 131 3 the the DET bracis-19031 131 4 operator operator NOUN bracis-19031 131 5 \(\circ \(\circ NOUN bracis-19031 131 6 \ \ NOUN bracis-19031 131 7 ) ) PUNCT bracis-19031 131 8 may may AUX bracis-19031 131 9 be be AUX bracis-19031 131 10 not not PART bracis-19031 131 11 well well ADV bracis-19031 131 12 - - PUNCT bracis-19031 131 13 defined define VERB bracis-19031 131 14 within within ADP bracis-19031 131 15 the the DET bracis-19031 131 16 box box PROPN bracis-19031 131 17 \((\mathcal \((\mathcal PROPN bracis-19031 131 18 { { PUNCT bracis-19031 131 19 y y PROPN bracis-19031 131 20 } } PUNCT bracis-19031 131 21 , , PUNCT bracis-19031 131 22 \mathcal \mathcal PROPN bracis-19031 131 23 { { PUNCT bracis-19031 131 24 z})\ z})\ NUM bracis-19031 131 25 ) ) PUNCT bracis-19031 131 26 . . PUNCT bracis-19031 132 1 in in ADP bracis-19031 132 2 this this DET bracis-19031 132 3 case case NOUN bracis-19031 132 4 , , PUNCT bracis-19031 132 5 we we PRON bracis-19031 132 6 compute compute VERB bracis-19031 132 7 the the DET bracis-19031 132 8 distance distance NOUN bracis-19031 132 9 using use VERB bracis-19031 132 10 the the DET bracis-19031 132 11 inverse inverse NOUN bracis-19031 132 12 operation operation NOUN bracis-19031 132 13 of of ADP bracis-19031 132 14 \(\circ \(\circ NOUN bracis-19031 132 15 \ \ NOUN bracis-19031 132 16 ) ) PUNCT bracis-19031 132 17 that that PRON bracis-19031 132 18 results result VERB bracis-19031 132 19 in in ADP bracis-19031 132 20 the the DET bracis-19031 132 21 tightest tight ADJ bracis-19031 132 22 multi multi NOUN bracis-19031 132 23 - - NOUN bracis-19031 132 24 interval interval NOUN bracis-19031 132 25 . . PUNCT bracis-19031 133 1 for for ADP bracis-19031 133 2 instance instance NOUN bracis-19031 133 3 , , PUNCT bracis-19031 133 4 we we PRON bracis-19031 133 5 can can AUX bracis-19031 133 6 not not PART bracis-19031 133 7 compute compute VERB bracis-19031 133 8 the the DET bracis-19031 133 9 distance distance NOUN bracis-19031 133 10 for for ADP bracis-19031 133 11 the the DET bracis-19031 133 12 constraint constraint NOUN bracis-19031 133 13 \(x \(x NOUN bracis-19031 133 14 = = SYM bracis-19031 133 15 y y PROPN bracis-19031 133 16 / / SYM bracis-19031 133 17 z\ z\ NUM bracis-19031 133 18 ) ) PUNCT bracis-19031 133 19 within within ADP bracis-19031 133 20 the the DET bracis-19031 133 21 box box NOUN bracis-19031 133 22 \(z \(z NOUN bracis-19031 134 1 = = PUNCT bracis-19031 135 1 [ [ X bracis-19031 135 2 0,0]\ 0,0]\ NOUN bracis-19031 135 3 ) ) PUNCT bracis-19031 135 4 , , PUNCT bracis-19031 135 5 but but CCONJ bracis-19031 135 6 we we PRON bracis-19031 135 7 can can AUX bracis-19031 135 8 do do VERB bracis-19031 135 9 it it PRON bracis-19031 135 10 for for ADP bracis-19031 135 11 the the DET bracis-19031 135 12 inverse inverse NOUN bracis-19031 135 13 \(y \(y X bracis-19031 136 1 = = PUNCT bracis-19031 136 2 x x PUNCT bracis-19031 136 3 * * PUNCT bracis-19031 136 4 z\ z\ NUM bracis-19031 136 5 ) ) PUNCT bracis-19031 136 6 . . PUNCT bracis-19031 137 1 in in ADP bracis-19031 137 2 i2de i2de PROPN bracis-19031 137 3 and and CCONJ bracis-19031 137 4 inde inde PROPN bracis-19031 137 5 , , PUNCT bracis-19031 137 6 an an DET bracis-19031 137 7 individual individual NOUN bracis-19031 137 8 is be AUX bracis-19031 137 9 an an DET bracis-19031 137 10 assignment assignment NOUN bracis-19031 137 11 of of ADP bracis-19031 137 12 intervals interval NOUN bracis-19031 137 13 to to ADP bracis-19031 137 14 variables variable NOUN bracis-19031 137 15 ( ( PUNCT bracis-19031 137 16 a a DET bracis-19031 137 17 box box NOUN bracis-19031 137 18 ) ) PUNCT bracis-19031 137 19 . . PUNCT bracis-19031 138 1 the the DET bracis-19031 138 2 population population NOUN bracis-19031 138 3 is be AUX bracis-19031 138 4 a a DET bracis-19031 138 5 set set NOUN bracis-19031 138 6 of of ADP bracis-19031 138 7 boxes box NOUN bracis-19031 138 8 that that PRON bracis-19031 138 9 covers cover VERB bracis-19031 138 10 parts part NOUN bracis-19031 138 11 of of ADP bracis-19031 138 12 the the DET bracis-19031 138 13 search search NOUN bracis-19031 138 14 space space NOUN bracis-19031 138 15 , , PUNCT bracis-19031 138 16 instead instead ADV bracis-19031 138 17 of of ADP bracis-19031 138 18 just just ADV bracis-19031 138 19 points point NOUN bracis-19031 138 20 as as ADP bracis-19031 138 21 in in ADP bracis-19031 138 22 classical classical ADJ bracis-19031 138 23 metaheuristics metaheuristic NOUN bracis-19031 138 24 . . PUNCT bracis-19031 139 1 in in ADP bracis-19031 139 2 the the DET bracis-19031 139 3 optimization optimization NOUN bracis-19031 139 4 process process NOUN bracis-19031 139 5 , , PUNCT bracis-19031 139 6 only only ADV bracis-19031 139 7 the the DET bracis-19031 139 8 variables variable NOUN bracis-19031 139 9 of of ADP bracis-19031 139 10 constraints constraint NOUN bracis-19031 139 11 in in ADP bracis-19031 139 12 the the DET bracis-19031 139 13 \(\varomega \(\varomega NOUN bracis-19031 139 14 \ \ NOUN bracis-19031 139 15 ) ) PUNCT bracis-19031 139 16 set set NOUN bracis-19031 139 17 of of ADP bracis-19031 139 18 an an DET bracis-19031 139 19 epiphytic epiphytic ADJ bracis-19031 139 20 decomposition decomposition NOUN bracis-19031 139 21 are be AUX bracis-19031 139 22 considered consider VERB bracis-19031 139 23 . . PUNCT bracis-19031 140 1 this this PRON bracis-19031 140 2 allows allow VERB bracis-19031 140 3 to to PART bracis-19031 140 4 apply apply VERB bracis-19031 140 5 local local ADJ bracis-19031 140 6 consistency consistency NOUN bracis-19031 140 7 techniques technique NOUN bracis-19031 140 8 to to PART bracis-19031 140 9 prune prune VERB bracis-19031 140 10 infeasible infeasible ADJ bracis-19031 140 11 solutions solution NOUN bracis-19031 140 12 . . PUNCT bracis-19031 141 1 ogre ogre NOUN bracis-19031 141 2 ’s ’s PART bracis-19031 141 3 local local ADJ bracis-19031 141 4 search search NOUN bracis-19031 141 5 is be AUX bracis-19031 141 6 used use VERB bracis-19031 141 7 to to PART bracis-19031 141 8 compute compute VERB bracis-19031 141 9 the the DET bracis-19031 141 10 real real ADJ bracis-19031 141 11 parameter parameter NOUN bracis-19031 141 12 instantiation instantiation NOUN bracis-19031 141 13 of of ADP bracis-19031 141 14 the the DET bracis-19031 141 15 variables variable NOUN bracis-19031 141 16 . . PUNCT bracis-19031 142 1 however however ADV bracis-19031 142 2 , , PUNCT bracis-19031 142 3 unlike unlike ADP bracis-19031 142 4 in in ADP bracis-19031 142 5     SPACE bracis-19031 142 6 [ [ X bracis-19031 142 7 5 5 NUM bracis-19031 142 8 ] ] PUNCT bracis-19031 142 9 , , PUNCT bracis-19031 142 10 we we PRON bracis-19031 142 11 use use VERB bracis-19031 142 12 the the DET bracis-19031 142 13 original original ADJ bracis-19031 142 14 instance instance NOUN bracis-19031 142 15 modeling modeling NOUN bracis-19031 142 16 to to PART bracis-19031 142 17 evaluate evaluate VERB bracis-19031 142 18 the the DET bracis-19031 142 19 individual individual NOUN bracis-19031 142 20 ’s ’s PART bracis-19031 142 21 fitness fitness NOUN bracis-19031 142 22 value value NOUN bracis-19031 142 23 , , PUNCT bracis-19031 142 24 instead instead ADV bracis-19031 142 25 of of ADP bracis-19031 142 26 the the DET bracis-19031 142 27 ternary ternary NOUN bracis-19031 142 28 encoded encode VERB bracis-19031 142 29 cn cn PROPN bracis-19031 142 30 . . PUNCT bracis-19031 143 1 we we PRON bracis-19031 143 2 propose propose VERB bracis-19031 143 3 improved improved ADJ bracis-19031 143 4 formulations formulation NOUN bracis-19031 143 5 of of ADP bracis-19031 143 6 three three NUM bracis-19031 143 7 de de ADJ bracis-19031 143 8 interval interval NOUN bracis-19031 143 9 mutation mutation NOUN bracis-19031 143 10 operators operator NOUN bracis-19031 143 11 . . PUNCT bracis-19031 144 1 interval interval NOUN bracis-19031 144 2 adaptations adaptation NOUN bracis-19031 144 3 of of ADP bracis-19031 144 4 the the DET bracis-19031 144 5 main main ADJ bracis-19031 144 6 features feature NOUN bracis-19031 144 7 of of ADP bracis-19031 144 8 state state NOUN bracis-19031 144 9 - - PUNCT bracis-19031 144 10 of of ADP bracis-19031 144 11 - - PUNCT bracis-19031 144 12 the the DET bracis-19031 144 13 - - PUNCT bracis-19031 144 14 art art NOUN bracis-19031 144 15 solvers solver NOUN bracis-19031 144 16 are be AUX bracis-19031 144 17 implemented implement VERB bracis-19031 144 18 . . PUNCT bracis-19031 145 1 some some DET bracis-19031 145 2 details detail NOUN bracis-19031 145 3 of of ADP bracis-19031 145 4 i2de i2de PROPN bracis-19031 145 5 ’s ’s PART bracis-19031 145 6 components component NOUN bracis-19031 145 7 are be AUX bracis-19031 145 8 discussed discuss VERB bracis-19031 145 9 below below ADV bracis-19031 145 10 . . PUNCT bracis-19031 146 1 3.1 3.1 NUM bracis-19031 146 2 interval interval NOUN bracis-19031 146 3 population population NOUN bracis-19031 146 4 in in ADP bracis-19031 146 5 the the DET bracis-19031 146 6 same same ADJ bracis-19031 146 7 way way NOUN bracis-19031 146 8 as as ADP bracis-19031 146 9 in in ADP bracis-19031 146 10     SPACE bracis-19031 146 11 [ [ X bracis-19031 146 12 5 5 NUM bracis-19031 146 13 ] ] PUNCT bracis-19031 146 14 , , PUNCT bracis-19031 146 15 the the DET bracis-19031 146 16 i2de i2de PROPN bracis-19031 146 17 ’s ’s PART bracis-19031 146 18 initial initial ADJ bracis-19031 146 19 population population NOUN bracis-19031 146 20 is be AUX bracis-19031 146 21 generated generate VERB bracis-19031 146 22 by by ADP bracis-19031 146 23 the the DET bracis-19031 146 24 top top ADJ bracis-19031 146 25 level level NOUN bracis-19031 146 26 branching branch VERB bracis-19031 146 27 tree tree NOUN bracis-19031 146 28 of of ADP bracis-19031 146 29 ogre ogre NOUN bracis-19031 146 30 ’s ’s PART bracis-19031 146 31 ib&b ib&b PROPN bracis-19031 146 32 . . PUNCT bracis-19031 147 1 this this DET bracis-19031 147 2 strategy strategy NOUN bracis-19031 147 3 guarantees guarantee VERB bracis-19031 147 4 that that SCONJ bracis-19031 147 5 the the DET bracis-19031 147 6 initial initial ADJ bracis-19031 147 7 population population NOUN bracis-19031 147 8 covers cover VERB bracis-19031 147 9 all all DET bracis-19031 147 10 the the DET bracis-19031 147 11 search search NOUN bracis-19031 147 12 space space NOUN bracis-19031 147 13 . . PUNCT bracis-19031 148 1 although although SCONJ bracis-19031 148 2 each each DET bracis-19031 148 3 branch branch NOUN bracis-19031 148 4 of of ADP bracis-19031 148 5 ogre ogre NOUN bracis-19031 148 6 ’s ’s ADV bracis-19031 148 7 ib&b ib&b PROPN bracis-19031 148 8 is be AUX bracis-19031 148 9 composed compose VERB bracis-19031 148 10 by by ADP bracis-19031 148 11 a a DET bracis-19031 148 12 gac gac NOUN bracis-19031 148 13 multi multi ADJ bracis-19031 148 14 - - ADJ bracis-19031 148 15 interval interval ADJ bracis-19031 148 16 box box NOUN bracis-19031 148 17 , , PUNCT bracis-19031 148 18 we we PRON bracis-19031 148 19 iteratively iteratively ADV bracis-19031 148 20 split split VERB bracis-19031 148 21 multi multi NOUN bracis-19031 148 22 - - NOUN bracis-19031 148 23 intervals interval NOUN bracis-19031 148 24 to to PART bracis-19031 148 25 obtain obtain VERB bracis-19031 148 26 a a DET bracis-19031 148 27 set set NOUN bracis-19031 148 28 of of ADP bracis-19031 148 29 interval interval NOUN bracis-19031 148 30 boxes box NOUN bracis-19031 148 31 ( ( PUNCT bracis-19031 148 32 individuals individual NOUN bracis-19031 148 33 ) ) PUNCT bracis-19031 148 34 that that PRON bracis-19031 148 35 are be AUX bracis-19031 148 36 added add VERB bracis-19031 148 37 to to ADP bracis-19031 148 38 the the DET bracis-19031 148 39 initial initial ADJ bracis-19031 148 40 population population NOUN bracis-19031 148 41 until until SCONJ bracis-19031 148 42 the the DET bracis-19031 148 43 number number NOUN bracis-19031 148 44 of of ADP bracis-19031 148 45 individuals individual NOUN bracis-19031 148 46 is be AUX bracis-19031 148 47 \ \ PROPN bracis-19031 148 48 ( ( PUNCT bracis-19031 148 49 np np INTJ bracis-19031 148 50 \ \ PROPN bracis-19031 148 51 ) ) PUNCT bracis-19031 148 52 . . PUNCT bracis-19031 149 1 if if SCONJ bracis-19031 149 2 numerical numerical ADJ bracis-19031 149 3 rounding round VERB bracis-19031 149 4 errors error NOUN bracis-19031 149 5 make make VERB bracis-19031 149 6 an an DET bracis-19031 149 7 individual individual NOUN bracis-19031 149 8 to to PART bracis-19031 149 9 be be AUX bracis-19031 149 10 considered consider VERB bracis-19031 149 11 inconsistent inconsistent ADJ bracis-19031 149 12 by by ADP bracis-19031 149 13 ogre ogre NOUN bracis-19031 149 14 ’s ’s PART bracis-19031 149 15 backtrack backtrack NOUN bracis-19031 149 16 - - PUNCT bracis-19031 149 17 free free ADJ bracis-19031 149 18 local local ADJ bracis-19031 149 19 search search NOUN bracis-19031 149 20 , , PUNCT bracis-19031 149 21 this this DET bracis-19031 149 22 individual individual NOUN bracis-19031 149 23 is be AUX bracis-19031 149 24 replaced replace VERB bracis-19031 149 25 by by ADP bracis-19031 149 26 a a DET bracis-19031 149 27 randomly randomly ADV bracis-19031 149 28 generated generate VERB bracis-19031 149 29 individual individual NOUN bracis-19031 149 30 from from ADP bracis-19031 149 31 the the DET bracis-19031 149 32 initial initial ADJ bracis-19031 149 33 domain domain NOUN bracis-19031 149 34 of of ADP bracis-19031 149 35 the the DET bracis-19031 149 36 instance instance NOUN bracis-19031 149 37 . . PUNCT bracis-19031 150 1 the the DET bracis-19031 150 2 scheme scheme NOUN bracis-19031 150 3 in in ADP bracis-19031 150 4 which which PRON bracis-19031 150 5 the the DET bracis-19031 150 6 current current ADJ bracis-19031 150 7 population population NOUN bracis-19031 150 8 is be AUX bracis-19031 150 9 subdivided subdivide VERB bracis-19031 150 10 between between ADP bracis-19031 150 11 the the DET bracis-19031 150 12 sub sub NOUN bracis-19031 150 13 - - NOUN bracis-19031 150 14 populations population NOUN bracis-19031 150 15 a a PRON bracis-19031 150 16 and and CCONJ bracis-19031 150 17 b b NOUN bracis-19031 150 18 of of ADP bracis-19031 150 19 size size NOUN bracis-19031 150 20 \ \ PROPN bracis-19031 150 21 ( ( PUNCT bracis-19031 150 22 np np INTJ bracis-19031 150 23 /2\ /2\ PUNCT bracis-19031 150 24 ) ) PUNCT bracis-19031 150 25 was be AUX bracis-19031 150 26 mantained mantaine VERB bracis-19031 150 27 . . PUNCT bracis-19031 151 1 the the DET bracis-19031 151 2 entire entire ADJ bracis-19031 151 3 population population NOUN bracis-19031 151 4 is be AUX bracis-19031 151 5 kept keep VERB bracis-19031 151 6 sorted sort VERB bracis-19031 151 7 , , PUNCT bracis-19031 151 8 which which PRON bracis-19031 151 9 allows allow VERB bracis-19031 151 10 a a PRON bracis-19031 151 11 to to PART bracis-19031 151 12 contain contain VERB bracis-19031 151 13 the the DET bracis-19031 151 14 best good ADJ bracis-19031 151 15 individuals individual NOUN bracis-19031 151 16 . . PUNCT bracis-19031 152 1 in in ADP bracis-19031 152 2 order order NOUN bracis-19031 152 3 to to PART bracis-19031 152 4 promote promote VERB bracis-19031 152 5 exploitation exploitation NOUN bracis-19031 152 6 of of ADP bracis-19031 152 7 the the DET bracis-19031 152 8 fitter fit ADJ bracis-19031 152 9 solutions solution NOUN bracis-19031 152 10 and and CCONJ bracis-19031 152 11 accelerate accelerate VERB bracis-19031 152 12 the the DET bracis-19031 152 13 convergence convergence NOUN bracis-19031 152 14 process process NOUN bracis-19031 152 15 , , PUNCT bracis-19031 152 16 we we PRON bracis-19031 152 17 apply apply VERB bracis-19031 152 18 a a DET bracis-19031 152 19 pool pool NOUN bracis-19031 152 20 of of ADP bracis-19031 152 21 three three NUM bracis-19031 152 22 strategies strategy NOUN bracis-19031 152 23 to to ADP bracis-19031 152 24 each each DET bracis-19031 152 25 individual individual NOUN bracis-19031 152 26 of of ADP bracis-19031 152 27 this this DET bracis-19031 152 28 sub sub NOUN bracis-19031 152 29 - - NOUN bracis-19031 152 30 population population NOUN bracis-19031 152 31 . . PUNCT bracis-19031 153 1 the the DET bracis-19031 153 2 best good ADJ bracis-19031 153 3 one one NUM bracis-19031 153 4 of of ADP bracis-19031 153 5 the the DET bracis-19031 153 6 three three NUM bracis-19031 153 7 trial trial NOUN bracis-19031 153 8 individuals individual NOUN bracis-19031 153 9 is be AUX bracis-19031 153 10 compared compare VERB bracis-19031 153 11 to to ADP bracis-19031 153 12 the the DET bracis-19031 153 13 parent parent NOUN bracis-19031 153 14 individual individual NOUN bracis-19031 153 15 in in ADP bracis-19031 153 16 the the DET bracis-19031 153 17 selection selection NOUN bracis-19031 153 18 operation operation NOUN bracis-19031 153 19 . . PUNCT bracis-19031 154 1 the the DET bracis-19031 154 2 other other ADJ bracis-19031 154 3 individuals individual NOUN bracis-19031 154 4 are be AUX bracis-19031 154 5 added add VERB bracis-19031 154 6 to to ADP bracis-19031 154 7 an an DET bracis-19031 154 8 archive archive NOUN bracis-19031 154 9 , , PUNCT bracis-19031 154 10 while while SCONJ bracis-19031 154 11 in in ADP bracis-19031 154 12     SPACE bracis-19031 154 13 [ [ X bracis-19031 154 14 5 5 NUM bracis-19031 154 15 ] ] PUNCT bracis-19031 154 16 they they PRON bracis-19031 154 17 were be AUX bracis-19031 154 18 discarded discard VERB bracis-19031 154 19 . . PUNCT bracis-19031 155 1 in in ADP bracis-19031 155 2 sub sub ADJ bracis-19031 155 3 - - ADJ bracis-19031 155 4 population population ADJ bracis-19031 155 5 b b NOUN bracis-19031 155 6 , , PUNCT bracis-19031 155 7 an an DET bracis-19031 155 8 adaptive adaptive ADJ bracis-19031 155 9 scheme scheme NOUN bracis-19031 155 10 is be AUX bracis-19031 155 11 used use VERB bracis-19031 155 12 to to PART bracis-19031 155 13 choose choose VERB bracis-19031 155 14 the the DET bracis-19031 155 15 mutation mutation NOUN bracis-19031 155 16 strategy strategy NOUN bracis-19031 155 17 to to PART bracis-19031 155 18 be be AUX bracis-19031 155 19 applied apply VERB bracis-19031 155 20 , , PUNCT bracis-19031 155 21 as as SCONJ bracis-19031 155 22 proposed propose VERB bracis-19031 155 23 in in ADP bracis-19031 155 24     SPACE bracis-19031 155 25 [ [ X bracis-19031 155 26 24 24 NUM bracis-19031 155 27 ] ] PUNCT bracis-19031 155 28 . . PUNCT bracis-19031 156 1 at at ADP bracis-19031 156 2 the the DET bracis-19031 156 3 end end NOUN bracis-19031 156 4 of of ADP bracis-19031 156 5 each each DET bracis-19031 156 6 generation generation NOUN bracis-19031 156 7 , , PUNCT bracis-19031 156 8 all all DET bracis-19031 156 9 individuals individual NOUN bracis-19031 156 10 are be AUX bracis-19031 156 11 sorted sort VERB bracis-19031 156 12 and and CCONJ bracis-19031 156 13 divided divide VERB bracis-19031 156 14 between between ADP bracis-19031 156 15 the the DET bracis-19031 156 16 sub sub NOUN bracis-19031 156 17 - - NOUN bracis-19031 156 18 populations population NOUN bracis-19031 156 19 . . PUNCT bracis-19031 157 1 in in ADP bracis-19031 157 2 inde inde PROPN bracis-19031 157 3 , , PUNCT bracis-19031 157 4 when when SCONJ bracis-19031 157 5 a a DET bracis-19031 157 6 multi multi ADJ bracis-19031 157 7 - - ADJ bracis-19031 157 8 interval interval ADJ bracis-19031 157 9 box box NOUN bracis-19031 157 10 is be AUX bracis-19031 157 11 split split VERB bracis-19031 157 12 into into ADP bracis-19031 157 13 interval interval NOUN bracis-19031 157 14 individuals individual NOUN bracis-19031 157 15 , , PUNCT bracis-19031 157 16 only only ADV bracis-19031 157 17 the the DET bracis-19031 157 18 best well ADV bracis-19031 157 19 fitting fitting ADJ bracis-19031 157 20 one one NUM bracis-19031 157 21 is be AUX bracis-19031 157 22 compared compare VERB bracis-19031 157 23 to to ADP bracis-19031 157 24 the the DET bracis-19031 157 25 target target NOUN bracis-19031 157 26 vector vector NOUN bracis-19031 157 27 , , PUNCT bracis-19031 157 28 and and CCONJ bracis-19031 157 29 the the DET bracis-19031 157 30 others other NOUN bracis-19031 157 31 are be AUX bracis-19031 157 32 added add VERB bracis-19031 157 33 to to ADP bracis-19031 157 34 the the DET bracis-19031 157 35 archive archive NOUN bracis-19031 157 36 . . PUNCT bracis-19031 158 1 similarly similarly ADV bracis-19031 158 2 , , PUNCT bracis-19031 158 3 individuals individual NOUN bracis-19031 158 4 who who PRON bracis-19031 158 5 are be AUX bracis-19031 158 6 not not PART bracis-19031 158 7 selected select VERB bracis-19031 158 8 for for ADP bracis-19031 158 9 the the DET bracis-19031 158 10 next next ADJ bracis-19031 158 11 generation generation NOUN bracis-19031 158 12 are be AUX bracis-19031 158 13 also also ADV bracis-19031 158 14 added add VERB bracis-19031 158 15 to to ADP bracis-19031 158 16 this this DET bracis-19031 158 17 archive archive NOUN bracis-19031 158 18 with with ADP bracis-19031 158 19 a a DET bracis-19031 158 20 maximum maximum ADJ bracis-19031 158 21 size size NOUN bracis-19031 158 22 of of ADP bracis-19031 158 23 100,000 100,000 NUM bracis-19031 158 24 individuals individual NOUN bracis-19031 158 25 . . PUNCT bracis-19031 159 1 when when SCONJ bracis-19031 159 2 the the DET bracis-19031 159 3 archive archive NOUN bracis-19031 159 4 is be AUX bracis-19031 159 5 full full ADJ bracis-19031 159 6 , , PUNCT bracis-19031 159 7 or or CCONJ bracis-19031 159 8 every every DET bracis-19031 159 9 50 50 NUM bracis-19031 159 10 generations generation NOUN bracis-19031 159 11 , , PUNCT bracis-19031 159 12 the the DET bracis-19031 159 13 current current ADJ bracis-19031 159 14 population population NOUN bracis-19031 159 15 and and CCONJ bracis-19031 159 16 the the DET bracis-19031 159 17 archive archive NOUN bracis-19031 159 18 are be AUX bracis-19031 159 19 merged merge VERB bracis-19031 159 20 , , PUNCT bracis-19031 159 21 the the DET bracis-19031 159 22 \ \ PROPN bracis-19031 159 23 ( ( PUNCT bracis-19031 159 24 np np INTJ bracis-19031 159 25 \ \ NOUN bracis-19031 159 26 ) ) PUNCT bracis-19031 159 27 best good ADJ bracis-19031 159 28 individuals individual NOUN bracis-19031 159 29 go go VERB bracis-19031 159 30 to to ADP bracis-19031 159 31 the the DET bracis-19031 159 32 new new ADJ bracis-19031 159 33 population population NOUN bracis-19031 159 34 , , PUNCT bracis-19031 159 35 and and CCONJ bracis-19031 159 36 the the DET bracis-19031 159 37 archive archive NOUN bracis-19031 159 38 is be AUX bracis-19031 159 39 emptied empty VERB bracis-19031 159 40 . . PUNCT bracis-19031 160 1 our our PRON bracis-19031 160 2 tests test NOUN bracis-19031 160 3 revealed reveal VERB bracis-19031 160 4 that that SCONJ bracis-19031 160 5 this this DET bracis-19031 160 6 process process NOUN bracis-19031 160 7 is be AUX bracis-19031 160 8 computationally computationally ADV bracis-19031 160 9 expensive expensive ADJ bracis-19031 160 10 and and CCONJ bracis-19031 160 11 contributes contribute VERB bracis-19031 160 12 very very ADV bracis-19031 160 13 little little ADJ bracis-19031 160 14 to to ADP bracis-19031 160 15 the the DET bracis-19031 160 16 maintenance maintenance NOUN bracis-19031 160 17 of of ADP bracis-19031 160 18 diversity diversity NOUN bracis-19031 160 19 in in ADP bracis-19031 160 20 the the DET bracis-19031 160 21 population population NOUN bracis-19031 160 22 . . PUNCT bracis-19031 161 1 so so ADV bracis-19031 161 2 i2de i2de PROPN bracis-19031 161 3 only only ADV bracis-19031 161 4 maintain maintain VERB bracis-19031 161 5 individuals individual NOUN bracis-19031 161 6 who who PRON bracis-19031 161 7 are be AUX bracis-19031 161 8 not not PART bracis-19031 161 9 selected select VERB bracis-19031 161 10 for for ADP bracis-19031 161 11 the the DET bracis-19031 161 12 next next ADJ bracis-19031 161 13 generation generation NOUN bracis-19031 161 14 in in ADP bracis-19031 161 15 a a DET bracis-19031 161 16 \ \ PROPN bracis-19031 161 17 ( ( PUNCT bracis-19031 161 18 np np INTJ bracis-19031 161 19 \times \time VERB bracis-19031 161 20 2.6\ 2.6\ NUM bracis-19031 161 21 ) ) PUNCT bracis-19031 161 22 archive archive NOUN bracis-19031 161 23 , , PUNCT bracis-19031 161 24 according accord VERB bracis-19031 161 25 to to ADP bracis-19031 161 26 the the DET bracis-19031 161 27 strategy strategy NOUN bracis-19031 161 28 proposed propose VERB bracis-19031 161 29 in in ADP bracis-19031 161 30     SPACE bracis-19031 161 31 [ [ X bracis-19031 161 32 29 29 NUM bracis-19031 161 33 ] ] PUNCT bracis-19031 161 34 and and CCONJ bracis-19031 161 35 used use VERB bracis-19031 161 36 in in ADP bracis-19031 161 37 many many ADJ bracis-19031 161 38 state state NOUN bracis-19031 161 39 - - PUNCT bracis-19031 161 40 of of ADP bracis-19031 161 41 - - PUNCT bracis-19031 161 42 art art NOUN bracis-19031 161 43 de de X bracis-19031 161 44 solvers solver NOUN bracis-19031 161 45     SPACE bracis-19031 161 46 [ [ X bracis-19031 161 47 3 3 NUM bracis-19031 161 48 , , PUNCT bracis-19031 161 49 13 13 NUM bracis-19031 161 50 , , PUNCT bracis-19031 161 51 18 18 NUM bracis-19031 161 52 ] ] PUNCT bracis-19031 161 53 . . PUNCT bracis-19031 162 1 finally finally ADV bracis-19031 162 2 , , PUNCT bracis-19031 162 3 we we PRON bracis-19031 162 4 kept keep VERB bracis-19031 162 5 the the DET bracis-19031 162 6 linear linear ADJ bracis-19031 162 7 population population NOUN bracis-19031 162 8 size size NOUN bracis-19031 162 9 reduction reduction NOUN bracis-19031 162 10 scheme scheme NOUN bracis-19031 162 11 proposed propose VERB bracis-19031 162 12 in in ADP bracis-19031 162 13     SPACE bracis-19031 162 14 [ [ X bracis-19031 162 15 22 22 NUM bracis-19031 162 16 ] ] PUNCT bracis-19031 162 17 and and CCONJ bracis-19031 162 18 applied apply VERB bracis-19031 162 19 in in ADP bracis-19031 162 20     SPACE bracis-19031 162 21 [ [ X bracis-19031 162 22 5 5 NUM bracis-19031 162 23 ] ] PUNCT bracis-19031 162 24 . . PUNCT bracis-19031 163 1 at at ADP bracis-19031 163 2 each each DET bracis-19031 163 3 generation generation NOUN bracis-19031 163 4 , , PUNCT bracis-19031 163 5 the the DET bracis-19031 163 6 new new ADJ bracis-19031 163 7 population population NOUN bracis-19031 163 8 size size NOUN bracis-19031 163 9 is be AUX bracis-19031 163 10 calculated calculate VERB bracis-19031 163 11 and and CCONJ bracis-19031 163 12 if if SCONJ bracis-19031 163 13 it it PRON bracis-19031 163 14 is be AUX bracis-19031 163 15 different different ADJ bracis-19031 163 16 from from ADP bracis-19031 163 17 the the DET bracis-19031 163 18 current current ADJ bracis-19031 163 19 size size NOUN bracis-19031 163 20 , , PUNCT bracis-19031 163 21 the the DET bracis-19031 163 22 worst bad ADJ bracis-19031 163 23 individuals individual NOUN bracis-19031 163 24 are be AUX bracis-19031 163 25 deleted delete VERB bracis-19031 163 26 from from ADP bracis-19031 163 27 the the DET bracis-19031 163 28 population population NOUN bracis-19031 163 29 until until SCONJ bracis-19031 163 30 it it PRON bracis-19031 163 31 has have VERB bracis-19031 163 32 the the DET bracis-19031 163 33 new new ADJ bracis-19031 163 34 size size NOUN bracis-19031 163 35 . . PUNCT bracis-19031 164 1 when when SCONJ bracis-19031 164 2 the the DET bracis-19031 164 3 population population NOUN bracis-19031 164 4 size size NOUN bracis-19031 164 5 reduces reduce VERB bracis-19031 164 6 , , PUNCT bracis-19031 164 7 the the DET bracis-19031 164 8 archive archive NOUN bracis-19031 164 9 size size NOUN bracis-19031 164 10 is be AUX bracis-19031 164 11 proportionally proportionally ADV bracis-19031 164 12 reduced reduce VERB bracis-19031 164 13 . . PUNCT bracis-19031 165 1 3.2 3.2 NUM bracis-19031 165 2 interval interval NOUN bracis-19031 165 3 operations operation NOUN bracis-19031 165 4 in in ADP bracis-19031 165 5 iude iude NOUN bracis-19031 165 6     SPACE bracis-19031 165 7 [ [ X bracis-19031 165 8 24 24 NUM bracis-19031 165 9 ] ] X bracis-19031 165 10 it it PRON bracis-19031 165 11 was be AUX bracis-19031 165 12 proposed propose VERB bracis-19031 165 13 the the DET bracis-19031 165 14 use use NOUN bracis-19031 165 15 of of ADP bracis-19031 165 16 three three NUM bracis-19031 165 17 mutation mutation NOUN bracis-19031 165 18 operators operator NOUN bracis-19031 165 19 : : PUNCT bracis-19031 165 20 de de PROPN bracis-19031 165 21 / / SYM bracis-19031 165 22 rand/1 rand/1 PROPN bracis-19031 165 23 , , PUNCT bracis-19031 165 24 de de ADJ bracis-19031 165 25 / / SYM bracis-19031 165 26 current current ADJ bracis-19031 165 27 - - PUNCT bracis-19031 165 28 to to ADP bracis-19031 165 29 - - PUNCT bracis-19031 165 30 pbest/1 pbest/1 PROPN bracis-19031 165 31 and and CCONJ bracis-19031 165 32 de de ADJ bracis-19031 165 33 / / SYM bracis-19031 165 34 current current ADJ bracis-19031 165 35 - - PUNCT bracis-19031 165 36 to to ADP bracis-19031 165 37 - - PUNCT bracis-19031 165 38 rand/1 rand/1 NOUN bracis-19031 165 39 . . PUNCT bracis-19031 166 1 just just ADV bracis-19031 166 2 like like INTJ bracis-19031 166 3 in in ADP bracis-19031 166 4     SPACE bracis-19031 166 5 [ [ X bracis-19031 166 6 5 5 NUM bracis-19031 166 7 ] ] PUNCT bracis-19031 166 8 , , PUNCT bracis-19031 166 9 we we PRON bracis-19031 166 10 use use VERB bracis-19031 166 11 this this DET bracis-19031 166 12 operators operator NOUN bracis-19031 166 13 pool pool VERB bracis-19031 166 14 in in ADP bracis-19031 166 15 the the DET bracis-19031 166 16 sub sub NOUN bracis-19031 166 17 - - NOUN bracis-19031 166 18 population population NOUN bracis-19031 166 19 a a PRON bracis-19031 166 20 in in ADP bracis-19031 166 21 order order NOUN bracis-19031 166 22 to to PART bracis-19031 166 23 intensify intensify VERB bracis-19031 166 24 the the DET bracis-19031 166 25 local local ADJ bracis-19031 166 26 search search NOUN bracis-19031 166 27 around around ADP bracis-19031 166 28 the the DET bracis-19031 166 29 best good ADJ bracis-19031 166 30 individuals individual NOUN bracis-19031 166 31 in in ADP bracis-19031 166 32 the the DET bracis-19031 166 33 current current ADJ bracis-19031 166 34 population population NOUN bracis-19031 166 35 . . PUNCT bracis-19031 167 1 the the DET bracis-19031 167 2 three three NUM bracis-19031 167 3 generated generate VERB bracis-19031 167 4 trial trial NOUN bracis-19031 167 5 vectors vector NOUN bracis-19031 167 6 are be AUX bracis-19031 167 7 compared compare VERB bracis-19031 167 8 among among ADP bracis-19031 167 9 themselves themselves PRON bracis-19031 167 10 and and CCONJ bracis-19031 167 11 the the DET bracis-19031 167 12 mutation mutation NOUN bracis-19031 167 13 strategy strategy NOUN bracis-19031 167 14 with with ADP bracis-19031 167 15 the the DET bracis-19031 167 16 best good ADJ bracis-19031 167 17 trial trial NOUN bracis-19031 167 18 vector vector NOUN bracis-19031 167 19 scores score NOUN bracis-19031 167 20 a a DET bracis-19031 167 21 win win NOUN bracis-19031 167 22 . . PUNCT bracis-19031 168 1 at at ADP bracis-19031 168 2 every every DET bracis-19031 168 3 generation generation NOUN bracis-19031 168 4 , , PUNCT bracis-19031 168 5 the the DET bracis-19031 168 6 success success NOUN bracis-19031 168 7 rate rate NOUN bracis-19031 168 8 of of ADP bracis-19031 168 9 each each DET bracis-19031 168 10 strategy strategy NOUN bracis-19031 168 11 is be AUX bracis-19031 168 12 evaluated evaluate VERB bracis-19031 168 13 over over ADP bracis-19031 168 14 the the DET bracis-19031 168 15 period period NOUN bracis-19031 168 16 of of ADP bracis-19031 168 17 previous previous ADJ bracis-19031 168 18 25 25 NUM bracis-19031 168 19 generations generation NOUN bracis-19031 168 20 . . PUNCT bracis-19031 169 1 in in ADP bracis-19031 169 2 the the DET bracis-19031 169 3 bottom bottom ADJ bracis-19031 169 4 sub sub NOUN bracis-19031 169 5 - - ADJ bracis-19031 169 6 population population ADJ bracis-19031 169 7 b b NOUN bracis-19031 169 8 , , PUNCT bracis-19031 169 9 the the DET bracis-19031 169 10 probability probability NOUN bracis-19031 169 11 of of ADP bracis-19031 169 12 employing employ VERB bracis-19031 169 13 a a DET bracis-19031 169 14 mutation mutation NOUN bracis-19031 169 15 strategy strategy NOUN bracis-19031 169 16 is be AUX bracis-19031 169 17 equal equal ADJ bracis-19031 169 18 to to ADP bracis-19031 169 19 its its PRON bracis-19031 169 20 recent recent ADJ bracis-19031 169 21 success success NOUN bracis-19031 169 22 rate rate NOUN bracis-19031 169 23 on on ADP bracis-19031 169 24 the the DET bracis-19031 169 25 top top ADJ bracis-19031 169 26 sub sub ADJ bracis-19031 169 27 - - ADJ bracis-19031 169 28 population population ADJ bracis-19031 169 29 a. a. NOUN bracis-19031 169 30 additionally additionally ADV bracis-19031 169 31 , , PUNCT bracis-19031 169 32 base base NOUN bracis-19031 169 33 and and CCONJ bracis-19031 169 34 terminal terminal ADJ bracis-19031 169 35 vectors vector NOUN bracis-19031 169 36 are be AUX bracis-19031 169 37 selected select VERB bracis-19031 169 38 from from ADP bracis-19031 169 39 the the DET bracis-19031 169 40 top top ADJ bracis-19031 169 41 sub sub NOUN bracis-19031 169 42 - - NOUN bracis-19031 169 43 population population NOUN bracis-19031 169 44 . . PUNCT bracis-19031 170 1 since since SCONJ bracis-19031 170 2 an an DET bracis-19031 170 3 interval interval NOUN bracis-19031 170 4 is be AUX bracis-19031 170 5 defined define VERB bracis-19031 170 6 by by ADP bracis-19031 170 7 its its PRON bracis-19031 170 8 width width ADJ bracis-19031 170 9 \((\omega \((\omega NOUN bracis-19031 170 10 ) ) PUNCT bracis-19031 170 11 \ \ NOUN bracis-19031 170 12 ) ) PUNCT bracis-19031 170 13 and and CCONJ bracis-19031 170 14 midpoint midpoint VERB bracis-19031 170 15 \((\mu \((\mu ADJ bracis-19031 170 16 ) ) PUNCT bracis-19031 170 17 \ \ PROPN bracis-19031 170 18 ) ) PUNCT bracis-19031 170 19 , , PUNCT bracis-19031 170 20 mutation mutation NOUN bracis-19031 170 21 operators operator NOUN bracis-19031 170 22 can can AUX bracis-19031 170 23 be be AUX bracis-19031 170 24 applied apply VERB bracis-19031 170 25 over over ADP bracis-19031 170 26 midpoints midpoint NOUN bracis-19031 170 27 and and CCONJ bracis-19031 170 28 extended extend VERB bracis-19031 170 29 to to PART bracis-19031 170 30 deal deal VERB bracis-19031 170 31 with with ADP bracis-19031 170 32 interval interval NOUN bracis-19031 170 33 widths width NOUN bracis-19031 170 34 . . PUNCT bracis-19031 171 1 in in ADP bracis-19031 171 2     SPACE bracis-19031 171 3 [ [ X bracis-19031 171 4 5 5 NUM bracis-19031 171 5 ] ] PUNCT bracis-19031 171 6 , , PUNCT bracis-19031 171 7 it it PRON bracis-19031 171 8 was be AUX bracis-19031 171 9 introduced introduce VERB bracis-19031 171 10 interval interval NOUN bracis-19031 171 11 versions version NOUN bracis-19031 171 12 of of ADP bracis-19031 171 13 the the DET bracis-19031 171 14 three three NUM bracis-19031 171 15 mutation mutation NOUN bracis-19031 171 16 operators operator NOUN bracis-19031 171 17 mentioned mention VERB bracis-19031 171 18 above above ADV bracis-19031 171 19 . . PUNCT bracis-19031 172 1 however however ADV bracis-19031 172 2 , , PUNCT bracis-19031 172 3 our our PRON bracis-19031 172 4 tests test NOUN bracis-19031 172 5 revealed reveal VERB bracis-19031 172 6 that that SCONJ bracis-19031 172 7 in in ADP bracis-19031 172 8 practice practice NOUN bracis-19031 172 9 numerical numerical ADJ bracis-19031 172 10 rounding round VERB bracis-19031 172 11 errors error NOUN bracis-19031 172 12 may may AUX bracis-19031 172 13 result result VERB bracis-19031 172 14 in in ADP bracis-19031 172 15 intervals interval NOUN bracis-19031 172 16 with with ADP bracis-19031 172 17 negative negative ADJ bracis-19031 172 18 widths width NOUN bracis-19031 172 19 . . PUNCT bracis-19031 173 1 consequently consequently ADV bracis-19031 173 2 , , PUNCT bracis-19031 173 3 with with ADP bracis-19031 173 4 the the DET bracis-19031 173 5 application application NOUN bracis-19031 173 6 of of ADP bracis-19031 173 7 local local ADJ bracis-19031 173 8 consistency consistency NOUN bracis-19031 173 9 , , PUNCT bracis-19031 173 10 the the DET bracis-19031 173 11 box box NOUN bracis-19031 173 12 is be AUX bracis-19031 173 13 considered consider VERB bracis-19031 173 14 inconsistent inconsistent ADJ bracis-19031 173 15 and and CCONJ bracis-19031 173 16 discarded discard VERB bracis-19031 173 17 . . PUNCT bracis-19031 174 1 in in ADP bracis-19031 174 2 order order NOUN bracis-19031 174 3 to to PART bracis-19031 174 4 optimize optimize VERB bracis-19031 174 5 the the DET bracis-19031 174 6 convergence convergence NOUN bracis-19031 174 7 process process NOUN bracis-19031 174 8 , , PUNCT bracis-19031 174 9 we we PRON bracis-19031 174 10 reformulated reformulate VERB bracis-19031 174 11 the the DET bracis-19031 174 12 mutation mutation NOUN bracis-19031 174 13 strategies strategy NOUN bracis-19031 174 14 proposed propose VERB bracis-19031 174 15 in in ADP bracis-19031 174 16 inde inde PROPN bracis-19031 174 17     SPACE bracis-19031 175 1 [ [ X bracis-19031 175 2 5 5 NUM bracis-19031 175 3 ] ] PUNCT bracis-19031 175 4 . . PUNCT bracis-19031 176 1 the the DET bracis-19031 176 2 interval interval NOUN bracis-19031 176 3 version version NOUN bracis-19031 176 4 of of ADP bracis-19031 176 5 de de X bracis-19031 176 6 / / SYM bracis-19031 176 7 rand/1 rand/1 PROPN bracis-19031 176 8 combines combine VERB bracis-19031 176 9 \(\texttt \(\texttt NOUN bracis-19031 176 10 { { PUNCT bracis-19031 176 11 r}_1\ r}_1\ PROPN bracis-19031 176 12 ) ) PUNCT bracis-19031 176 13 , , PUNCT bracis-19031 176 14 \(\texttt \(\texttt X bracis-19031 176 15 { { PUNCT bracis-19031 176 16 r}_2\ r}_2\ NUM bracis-19031 176 17 ) ) PUNCT bracis-19031 176 18 and and CCONJ bracis-19031 176 19 \(\texttt \(\texttt NOUN bracis-19031 176 20 { { PUNCT bracis-19031 176 21 r}_3\ r}_3\ NOUN bracis-19031 176 22 ) ) PUNCT bracis-19031 176 23 to to PART bracis-19031 176 24 generate generate VERB bracis-19031 176 25 the the DET bracis-19031 176 26 mutant mutant ADJ bracis-19031 176 27 vector vector NOUN bracis-19031 176 28 \(\texttt \(\texttt NOUN bracis-19031 176 29 { { PUNCT bracis-19031 176 30 v}_i\ v}_i\ NOUN bracis-19031 176 31 ) ) PUNCT bracis-19031 176 32 . . PUNCT bracis-19031 177 1 the the DET bracis-19031 177 2 j j PROPN bracis-19031 177 3 - - PUNCT bracis-19031 177 4 th th VERB bracis-19031 177 5 element element NOUN bracis-19031 177 6 of of ADP bracis-19031 177 7 \(\texttt \(\texttt NOUN bracis-19031 177 8 { { PUNCT bracis-19031 177 9 v}_i\ v}_i\ NOUN bracis-19031 177 10 ) ) PUNCT bracis-19031 177 11 is be AUX bracis-19031 177 12 defined define VERB bracis-19031 177 13 by by ADP bracis-19031 177 14 : : PUNCT bracis-19031 177 15 $ $ SYM bracis-19031 177 16 $ $ SYM bracis-19031 177 17 \begin{aligned \begin{aligne VERB bracis-19031 177 18 } } PUNCT bracis-19031 177 19 \mu \mu PROPN bracis-19031 177 20 ( ( PUNCT bracis-19031 177 21 \texttt \texttt PROPN bracis-19031 177 22 { { PUNCT bracis-19031 177 23 v}_{ij v}_{ij NOUN bracis-19031 177 24 } } PUNCT bracis-19031 177 25 ) ) PUNCT bracis-19031 178 1 = = SYM bracis-19031 178 2 \mu \mu PROPN bracis-19031 178 3 ( ( PUNCT bracis-19031 178 4 \texttt \texttt PROPN bracis-19031 178 5 { { PUNCT bracis-19031 178 6 r}_{1j r}_{1j PROPN bracis-19031 178 7 } } PUNCT bracis-19031 178 8 ) ) PUNCT bracis-19031 179 1 + + CCONJ bracis-19031 179 2 f_i f_i ADJ bracis-19031 179 3 \cdot \cdot NOUN bracis-19031 179 4 \left \left PROPN bracis-19031 179 5 ( ( PUNCT bracis-19031 179 6 \mu \mu PROPN bracis-19031 179 7 ( ( PUNCT bracis-19031 179 8 \texttt \texttt PROPN bracis-19031 179 9 { { PUNCT bracis-19031 179 10 r}_{2j r}_{2j PROPN bracis-19031 179 11 } } PUNCT bracis-19031 179 12 ) ) PUNCT bracis-19031 179 13 \mu \mu PROPN bracis-19031 179 14 ( ( PUNCT bracis-19031 179 15 \texttt \texttt PROPN bracis-19031 179 16 { { PUNCT bracis-19031 179 17 r}_{3j r}_{3j PROPN bracis-19031 179 18 } } PUNCT bracis-19031 179 19 ) ) PUNCT bracis-19031 180 1 \right \right NOUN bracis-19031 180 2 ) ) PUNCT bracis-19031 180 3 , , PUNCT bracis-19031 180 4 \end{aligned}$$ \end{aligned}$$ X bracis-19031 180 5 ( ( PUNCT bracis-19031 180 6 4 4 NUM bracis-19031 180 7 ) ) PUNCT bracis-19031 180 8 $ $ SYM bracis-19031 180 9 $ $ SYM bracis-19031 180 10 \begin{aligned \begin{aligne VERB bracis-19031 180 11 } } PUNCT bracis-19031 180 12 \omega \omega PROPN bracis-19031 180 13 ( ( PUNCT bracis-19031 180 14 \texttt \texttt PROPN bracis-19031 180 15 { { PUNCT bracis-19031 180 16 v}_{ij v}_{ij NOUN bracis-19031 180 17 } } PUNCT bracis-19031 180 18 ) ) PUNCT bracis-19031 181 1 = = SYM bracis-19031 181 2 \omega \omega PROPN bracis-19031 181 3 ( ( PUNCT bracis-19031 181 4 \texttt \texttt PROPN bracis-19031 181 5 { { PUNCT bracis-19031 181 6 r}_{1j r}_{1j PROPN bracis-19031 181 7 } } PUNCT bracis-19031 181 8 ) ) PUNCT bracis-19031 181 9 \cdot \cdot PROPN bracis-19031 181 10 \left \left PROPN bracis-19031 181 11 ( ( PUNCT bracis-19031 181 12 1 1 NUM bracis-19031 181 13 + + CCONJ bracis-19031 181 14 f_i f_i ADJ bracis-19031 181 15 \cdot \cdot PROPN bracis-19031 181 16 \left \left PROPN bracis-19031 181 17 ( ( PUNCT bracis-19031 181 18 \frac{\omega \frac{\omega X bracis-19031 181 19 ( ( PUNCT bracis-19031 181 20 \texttt \texttt PROPN bracis-19031 181 21 { { PUNCT bracis-19031 181 22 r}_{2j})}{\omega r}_{2j})}{\omega X bracis-19031 181 23 ( ( PUNCT bracis-19031 181 24 \texttt \texttt PROPN bracis-19031 181 25 { { PUNCT bracis-19031 181 26 r}_{3j r}_{3j PROPN bracis-19031 181 27 } } PUNCT bracis-19031 181 28 ) ) PUNCT bracis-19031 181 29 } } PUNCT bracis-19031 181 30 1 1 NUM bracis-19031 181 31 \right \right NOUN bracis-19031 181 32 ) ) PUNCT bracis-19031 181 33 \right \right NOUN bracis-19031 181 34 ) ) PUNCT bracis-19031 181 35 . . PUNCT bracis-19031 182 1 \end{aligned}$$ \end{aligned}$$ VERB bracis-19031 182 2 this this DET bracis-19031 182 3 formulation formulation NOUN bracis-19031 182 4 reduces reduce VERB bracis-19031 182 5 numerical numerical ADJ bracis-19031 182 6 errors error NOUN bracis-19031 182 7 and and CCONJ bracis-19031 182 8 avoid avoid VERB bracis-19031 182 9 inconsistent inconsistent ADJ bracis-19031 182 10 intervals interval NOUN bracis-19031 182 11 . . PUNCT bracis-19031 183 1 the the DET bracis-19031 183 2 other other ADJ bracis-19031 183 3 two two NUM bracis-19031 183 4 mutation mutation NOUN bracis-19031 183 5 operators operator NOUN bracis-19031 183 6 are be AUX bracis-19031 183 7 defined define VERB bracis-19031 183 8 in in ADP bracis-19031 183 9 a a DET bracis-19031 183 10 similar similar ADJ bracis-19031 183 11 way way NOUN bracis-19031 183 12 . . PUNCT bracis-19031 184 1 the the DET bracis-19031 184 2 interval interval NOUN bracis-19031 184 3 version version NOUN bracis-19031 184 4 of of ADP bracis-19031 184 5 de de X bracis-19031 184 6 / / SYM bracis-19031 184 7 current current ADJ bracis-19031 184 8 - - PUNCT bracis-19031 184 9 to to ADP bracis-19031 184 10 - - PUNCT bracis-19031 184 11 rand/1 rand/1 NOUN bracis-19031 184 12 combines combine VERB bracis-19031 184 13 the the DET bracis-19031 184 14 target target NOUN bracis-19031 184 15 vector vector NOUN bracis-19031 184 16 \(\texttt \(\texttt NOUN bracis-19031 184 17 { { PUNCT bracis-19031 184 18 x}_i\ x}_i\ NOUN bracis-19031 184 19 ) ) PUNCT bracis-19031 184 20 with with ADP bracis-19031 184 21 three three NUM bracis-19031 184 22 randomly randomly ADV bracis-19031 184 23 selected select VERB bracis-19031 184 24 individuals individual NOUN bracis-19031 184 25 \(\texttt \(\texttt NOUN bracis-19031 184 26 { { PUNCT bracis-19031 184 27 r}_1\ r}_1\ PROPN bracis-19031 184 28 ) ) PUNCT bracis-19031 184 29 , , PUNCT bracis-19031 184 30 \(\texttt \(\texttt X bracis-19031 184 31 { { PUNCT bracis-19031 184 32 r}_2\ r}_2\ NUM bracis-19031 184 33 ) ) PUNCT bracis-19031 184 34 and and CCONJ bracis-19031 184 35 \(\texttt \(\texttt NOUN bracis-19031 184 36 { { PUNCT bracis-19031 184 37 r}_3\ r}_3\ NUM bracis-19031 184 38 ) ) PUNCT bracis-19031 184 39 . . PUNCT bracis-19031 185 1 the the DET bracis-19031 185 2 mutant mutant ADJ bracis-19031 185 3 vector vector NOUN bracis-19031 185 4 is be AUX bracis-19031 185 5 defined define VERB bracis-19031 185 6 by by ADP bracis-19031 185 7 : : PUNCT bracis-19031 185 8 $ $ SYM bracis-19031 185 9 $ $ SYM bracis-19031 185 10 \begin{aligned \begin{aligne VERB bracis-19031 185 11 } } PUNCT bracis-19031 185 12 \mu \mu PROPN bracis-19031 185 13 ( ( PUNCT bracis-19031 185 14 \texttt \texttt PROPN bracis-19031 185 15 { { PUNCT bracis-19031 185 16 v}_{ij v}_{ij NOUN bracis-19031 185 17 } } PUNCT bracis-19031 185 18 ) ) PUNCT bracis-19031 186 1 = = SYM bracis-19031 186 2 \mu \mu PROPN bracis-19031 186 3 ( ( PUNCT bracis-19031 186 4 \texttt \texttt PROPN bracis-19031 186 5 { { PUNCT bracis-19031 186 6 x}_{ij x}_{ij PROPN bracis-19031 186 7 } } PUNCT bracis-19031 186 8 ) ) PUNCT bracis-19031 187 1 + + CCONJ bracis-19031 187 2 s_i s_i PROPN bracis-19031 187 3 \cdot \cdot PROPN bracis-19031 187 4 \left \left PROPN bracis-19031 187 5 ( ( PUNCT bracis-19031 187 6 \mu \mu PROPN bracis-19031 187 7 ( ( PUNCT bracis-19031 187 8 \texttt \texttt PROPN bracis-19031 187 9 { { PUNCT bracis-19031 187 10 r}_{1j r}_{1j PROPN bracis-19031 187 11 } } PUNCT bracis-19031 187 12 ) ) PUNCT bracis-19031 187 13 \mu \mu PROPN bracis-19031 187 14 ( ( PUNCT bracis-19031 187 15 \texttt \texttt PROPN bracis-19031 187 16 { { PUNCT bracis-19031 187 17 x}_{ij x}_{ij PROPN bracis-19031 187 18 } } PUNCT bracis-19031 187 19 ) ) PUNCT bracis-19031 188 1 \right \right NOUN bracis-19031 188 2 ) ) PUNCT bracis-19031 188 3 + + CCONJ bracis-19031 188 4 f_i f_i ADJ bracis-19031 188 5 \cdot \cdot PROPN bracis-19031 188 6 \left \left PROPN bracis-19031 188 7 ( ( PUNCT bracis-19031 188 8 \mu \mu PROPN bracis-19031 188 9 ( ( PUNCT bracis-19031 188 10 \texttt \texttt PROPN bracis-19031 188 11 { { PUNCT bracis-19031 188 12 r}_{2j r}_{2j PROPN bracis-19031 188 13 } } PUNCT bracis-19031 188 14 ) ) PUNCT bracis-19031 188 15 \mu \mu PROPN bracis-19031 188 16 ( ( PUNCT bracis-19031 188 17 \texttt \texttt PROPN bracis-19031 188 18 { { PUNCT bracis-19031 188 19 r}_{3j r}_{3j PROPN bracis-19031 188 20 } } PUNCT bracis-19031 188 21 ) ) PUNCT bracis-19031 189 1 \right \right NOUN bracis-19031 189 2 ) ) PUNCT bracis-19031 189 3 , , PUNCT bracis-19031 189 4 \end{aligned}$$ \end{aligned}$$ X bracis-19031 189 5 ( ( PUNCT bracis-19031 189 6 5 5 NUM bracis-19031 189 7 ) ) PUNCT bracis-19031 189 8 $ $ SYM bracis-19031 189 9 $ $ SYM bracis-19031 189 10 \begin{aligned \begin{aligne VERB bracis-19031 189 11 } } PUNCT bracis-19031 189 12 \omega \omega PROPN bracis-19031 189 13 ( ( PUNCT bracis-19031 189 14 \texttt \texttt PROPN bracis-19031 189 15 { { PUNCT bracis-19031 189 16 v}_{ij v}_{ij NOUN bracis-19031 189 17 } } PUNCT bracis-19031 189 18 ) ) PUNCT bracis-19031 190 1 = = SYM bracis-19031 190 2 \omega \omega PROPN bracis-19031 190 3 ( ( PUNCT bracis-19031 190 4 \texttt \texttt PROPN bracis-19031 190 5 { { PUNCT bracis-19031 190 6 x}_{ij x}_{ij PROPN bracis-19031 190 7 } } PUNCT bracis-19031 190 8 ) ) PUNCT bracis-19031 190 9 \cdot \cdot PROPN bracis-19031 190 10 \left \left PROPN bracis-19031 190 11 ( ( PUNCT bracis-19031 190 12 1 1 NUM bracis-19031 190 13 + + CCONJ bracis-19031 190 14 s_i s_i PROPN bracis-19031 190 15 \cdot \cdot PROPN bracis-19031 190 16 \left \left PROPN bracis-19031 190 17 ( ( PUNCT bracis-19031 190 18 \frac \frac PROPN bracis-19031 190 19 { { PUNCT bracis-19031 190 20 \omega \omega PROPN bracis-19031 190 21 ( ( PUNCT bracis-19031 190 22 \texttt \texttt PROPN bracis-19031 190 23 { { PUNCT bracis-19031 190 24 r}_{1j})}{\omega r}_{1j})}{\omega PROPN bracis-19031 190 25 ( ( PUNCT bracis-19031 190 26 \texttt \texttt PROPN bracis-19031 190 27 { { PUNCT bracis-19031 190 28 r}_{ij r}_{ij NOUN bracis-19031 190 29 } } PUNCT bracis-19031 190 30 ) ) PUNCT bracis-19031 190 31 } } PUNCT bracis-19031 190 32 1 1 NUM bracis-19031 190 33 \right \right NOUN bracis-19031 190 34 ) ) PUNCT bracis-19031 190 35 \right \right NOUN bracis-19031 190 36 ) ) PUNCT bracis-19031 190 37 \cdot \cdot PROPN bracis-19031 190 38 \left \left PROPN bracis-19031 190 39 ( ( PUNCT bracis-19031 190 40 1 1 NUM bracis-19031 190 41 + + CCONJ bracis-19031 190 42 f_i f_i ADJ bracis-19031 190 43 \cdot \cdot PROPN bracis-19031 190 44 \left \left PROPN bracis-19031 190 45 ( ( PUNCT bracis-19031 190 46 \frac{\omega \frac{\omega X bracis-19031 190 47 ( ( PUNCT bracis-19031 190 48 \texttt \texttt PROPN bracis-19031 190 49 { { PUNCT bracis-19031 190 50 r}_{2j r}_{2j PROPN bracis-19031 190 51 } } PUNCT bracis-19031 190 52 ) ) PUNCT bracis-19031 190 53 } } PUNCT bracis-19031 190 54 { { PUNCT bracis-19031 190 55 \omega \omega X bracis-19031 190 56 ( ( PUNCT bracis-19031 190 57 \texttt \texttt PROPN bracis-19031 190 58 { { PUNCT bracis-19031 190 59 r}_{3j r}_{3j PROPN bracis-19031 190 60 } } PUNCT bracis-19031 190 61 ) ) PUNCT bracis-19031 190 62 } } PUNCT bracis-19031 190 63 1 1 NUM bracis-19031 190 64 \right \right NOUN bracis-19031 190 65 ) ) PUNCT bracis-19031 190 66 \right \right NOUN bracis-19031 190 67 ) ) PUNCT bracis-19031 190 68 , , PUNCT bracis-19031 190 69 \end{aligned}$$ \end{aligned}$$ VERB bracis-19031 190 70 where where SCONJ bracis-19031 190 71 \(s_i\ \(s_i\ NOUN bracis-19031 190 72 ) ) PUNCT bracis-19031 190 73 is be AUX bracis-19031 190 74 a a DET bracis-19031 190 75 random random ADJ bracis-19031 190 76 number number NOUN bracis-19031 190 77 between between ADP bracis-19031 190 78 0 0 NUM bracis-19031 190 79 and and CCONJ bracis-19031 190 80 1 1 NUM bracis-19031 190 81 . . PUNCT bracis-19031 191 1 this this DET bracis-19031 191 2 strategy strategy NOUN bracis-19031 191 3 does do AUX bracis-19031 191 4 not not PART bracis-19031 191 5 use use VERB bracis-19031 191 6 crossover crossover NOUN bracis-19031 191 7 operator operator NOUN bracis-19031 191 8 , , PUNCT bracis-19031 191 9 so so SCONJ bracis-19031 191 10 the the DET bracis-19031 191 11 trial trial NOUN bracis-19031 191 12 vector vector NOUN bracis-19031 191 13 is be AUX bracis-19031 191 14 a a DET bracis-19031 191 15 copy copy NOUN bracis-19031 191 16 of of ADP bracis-19031 191 17 the the DET bracis-19031 191 18 mutant mutant ADJ bracis-19031 191 19 vector vector NOUN bracis-19031 191 20 \(\texttt \(\texttt NOUN bracis-19031 191 21 { { PUNCT bracis-19031 191 22 v}_i\ v}_i\ NOUN bracis-19031 191 23 ) ) PUNCT bracis-19031 191 24 . . PUNCT bracis-19031 192 1 finally finally ADV bracis-19031 192 2 , , PUNCT bracis-19031 192 3 the the DET bracis-19031 192 4 interval interval NOUN bracis-19031 192 5 version version NOUN bracis-19031 192 6 of of ADP bracis-19031 192 7 de de X bracis-19031 192 8 / / SYM bracis-19031 192 9 current current ADJ bracis-19031 192 10 - - PUNCT bracis-19031 192 11 to to ADP bracis-19031 192 12 - - PUNCT bracis-19031 192 13 pbest/1 pbest/1 NOUN bracis-19031 192 14 with with ADP bracis-19031 192 15 archive archive NOUN bracis-19031 192 16 uses use VERB bracis-19031 192 17 the the DET bracis-19031 192 18 coordinates coordinate NOUN bracis-19031 192 19 \(\texttt \(\texttt PROPN bracis-19031 192 20 { { PUNCT bracis-19031 192 21 x}_i\ x}_i\ NOUN bracis-19031 192 22 ) ) PUNCT bracis-19031 192 23 and and CCONJ bracis-19031 192 24 \(\texttt \(\texttt NOUN bracis-19031 192 25 { { PUNCT bracis-19031 192 26 r}_1\ r}_1\ PROPN bracis-19031 192 27 ) ) PUNCT bracis-19031 192 28 in in ADP bracis-19031 192 29 the the DET bracis-19031 192 30 same same ADJ bracis-19031 192 31 way way NOUN bracis-19031 192 32 as as ADP bracis-19031 192 33 in in ADP bracis-19031 192 34 eq eq NOUN bracis-19031 192 35 . . PUNCT bracis-19031 192 36     SPACE bracis-19031 192 37 5 5 NUM bracis-19031 192 38 , , PUNCT bracis-19031 192 39 while while SCONJ bracis-19031 192 40 \(\texttt \(\texttt X bracis-19031 192 41 { { PUNCT bracis-19031 192 42 r}_2\ r}_2\ NUM bracis-19031 192 43 ) ) PUNCT bracis-19031 192 44 is be AUX bracis-19031 192 45 randomly randomly ADV bracis-19031 192 46 chosen choose VERB bracis-19031 192 47 from from ADP bracis-19031 192 48 the the DET bracis-19031 192 49 union union NOUN bracis-19031 192 50 of of ADP bracis-19031 192 51 the the DET bracis-19031 192 52 current current ADJ bracis-19031 192 53 population population NOUN bracis-19031 192 54 and and CCONJ bracis-19031 192 55 the the DET bracis-19031 192 56 archive archive NOUN bracis-19031 192 57 , , PUNCT bracis-19031 192 58 and and CCONJ bracis-19031 192 59 \(\texttt \(\texttt NOUN bracis-19031 192 60 { { PUNCT bracis-19031 192 61 r}_{pbest}\ r}_{pbest}\ NOUN bracis-19031 192 62 ) ) PUNCT bracis-19031 192 63 is be AUX bracis-19031 192 64 selected select VERB bracis-19031 192 65 among among ADP bracis-19031 192 66 the the DET bracis-19031 192 67 p p ADJ bracis-19031 192 68 best good ADJ bracis-19031 192 69 individuals individual NOUN bracis-19031 192 70 in in ADP bracis-19031 192 71 the the DET bracis-19031 192 72 population population NOUN bracis-19031 192 73 : : PUNCT bracis-19031 192 74 $ $ SYM bracis-19031 192 75 $ $ SYM bracis-19031 192 76 \begin{aligned \begin{aligne VERB bracis-19031 192 77 } } PUNCT bracis-19031 192 78 \mu \mu PROPN bracis-19031 192 79 ( ( PUNCT bracis-19031 192 80 \texttt \texttt PROPN bracis-19031 192 81 { { PUNCT bracis-19031 192 82 v}_{ij v}_{ij NOUN bracis-19031 192 83 } } PUNCT bracis-19031 192 84 ) ) PUNCT bracis-19031 193 1 = = SYM bracis-19031 193 2 \mu \mu PROPN bracis-19031 193 3 ( ( PUNCT bracis-19031 193 4 \texttt \texttt PROPN bracis-19031 193 5 { { PUNCT bracis-19031 193 6 x}_{ij x}_{ij PROPN bracis-19031 193 7 } } PUNCT bracis-19031 193 8 ) ) PUNCT bracis-19031 194 1 + + CCONJ bracis-19031 194 2 f_i f_i ADJ bracis-19031 194 3 \cdot \cdot NOUN bracis-19031 194 4 \left \left PROPN bracis-19031 194 5 ( ( PUNCT bracis-19031 194 6 \mu \mu PROPN bracis-19031 194 7 ( ( PUNCT bracis-19031 194 8 \texttt \texttt PROPN bracis-19031 194 9 { { PUNCT bracis-19031 194 10 r}_{\text r}_{\text PROPN bracis-19031 194 11 { { PUNCT bracis-19031 194 12 pbest}j pbest}j NOUN bracis-19031 194 13 } } PUNCT bracis-19031 194 14 ) ) PUNCT bracis-19031 194 15 \mu \mu PROPN bracis-19031 194 16 ( ( PUNCT bracis-19031 194 17 \texttt \texttt PROPN bracis-19031 194 18 { { PUNCT bracis-19031 194 19 x}_{ij x}_{ij PROPN bracis-19031 194 20 } } PUNCT bracis-19031 194 21 ) ) PUNCT bracis-19031 195 1 \right \right NOUN bracis-19031 195 2 ) ) PUNCT bracis-19031 195 3 + + CCONJ bracis-19031 195 4 f_i f_i ADJ bracis-19031 195 5 \cdot \cdot PROPN bracis-19031 195 6 \left \left PROPN bracis-19031 195 7 ( ( PUNCT bracis-19031 195 8 \mu \mu PROPN bracis-19031 195 9 ( ( PUNCT bracis-19031 195 10 \texttt \texttt PROPN bracis-19031 195 11 { { PUNCT bracis-19031 195 12 r}_{1j r}_{1j PROPN bracis-19031 195 13 } } PUNCT bracis-19031 195 14 ) ) PUNCT bracis-19031 195 15 \mu \mu PROPN bracis-19031 195 16 ( ( PUNCT bracis-19031 195 17 \texttt \texttt PROPN bracis-19031 195 18 { { PUNCT bracis-19031 195 19 r}_{2j r}_{2j PROPN bracis-19031 195 20 } } PUNCT bracis-19031 195 21 ) ) PUNCT bracis-19031 195 22 \right \right NOUN bracis-19031 195 23 ) ) PUNCT bracis-19031 195 24 , , PUNCT bracis-19031 195 25 \end{aligned}$$ \end{aligned}$$ X bracis-19031 195 26 ( ( PUNCT bracis-19031 195 27 6 6 NUM bracis-19031 195 28 ) ) PUNCT bracis-19031 195 29 $ $ SYM bracis-19031 195 30 $ $ SYM bracis-19031 195 31 \begin{aligned \begin{aligne VERB bracis-19031 195 32 } } PUNCT bracis-19031 195 33 \omega \omega PROPN bracis-19031 195 34 ( ( PUNCT bracis-19031 195 35 \texttt \texttt PROPN bracis-19031 195 36 { { PUNCT bracis-19031 195 37 v}_{ij v}_{ij NOUN bracis-19031 195 38 } } PUNCT bracis-19031 195 39 ) ) PUNCT bracis-19031 196 1 = = SYM bracis-19031 196 2 \omega \omega PROPN bracis-19031 196 3 ( ( PUNCT bracis-19031 196 4 \texttt \texttt PROPN bracis-19031 196 5 { { PUNCT bracis-19031 196 6 x}_{ij x}_{ij PROPN bracis-19031 196 7 } } PUNCT bracis-19031 196 8 ) ) PUNCT bracis-19031 196 9 \cdot \cdot PROPN bracis-19031 196 10 \left \left PROPN bracis-19031 196 11 ( ( PUNCT bracis-19031 196 12 1 1 NUM bracis-19031 196 13 + + CCONJ bracis-19031 196 14 f_i f_i ADJ bracis-19031 196 15 \cdot \cdot PROPN bracis-19031 196 16 \left \left PROPN bracis-19031 196 17 ( ( PUNCT bracis-19031 196 18 \frac{\omega \frac{\omega X bracis-19031 196 19 ( ( PUNCT bracis-19031 196 20 \texttt \texttt PROPN bracis-19031 196 21 { { PUNCT bracis-19031 196 22 r}_{\text r}_{\text PROPN bracis-19031 196 23 { { PUNCT bracis-19031 196 24 pbest}j})}{\omega pbest}j})}{\omega NOUN bracis-19031 196 25 ( ( PUNCT bracis-19031 196 26 \texttt \texttt PROPN bracis-19031 196 27 { { PUNCT bracis-19031 196 28 r}_{ij r}_{ij NOUN bracis-19031 196 29 } } PUNCT bracis-19031 196 30 ) ) PUNCT bracis-19031 196 31 } } PUNCT bracis-19031 196 32 1 1 NUM bracis-19031 196 33 \right \right NOUN bracis-19031 196 34 ) ) PUNCT bracis-19031 196 35 \right \right NOUN bracis-19031 196 36 ) ) PUNCT bracis-19031 196 37 \cdot \cdot PROPN bracis-19031 196 38 \left \left PROPN bracis-19031 196 39 ( ( PUNCT bracis-19031 196 40 1 1 NUM bracis-19031 196 41 + + CCONJ bracis-19031 196 42 f_i f_i ADJ bracis-19031 196 43 \cdot \cdot PROPN bracis-19031 196 44 \left \left PROPN bracis-19031 196 45 ( ( PUNCT bracis-19031 196 46 \frac{\omega \frac{\omega X bracis-19031 196 47 ( ( PUNCT bracis-19031 196 48 \texttt \texttt PROPN bracis-19031 196 49 { { PUNCT bracis-19031 196 50 r}_{1j})}{\omega r}_{1j})}{\omega PROPN bracis-19031 196 51 ( ( PUNCT bracis-19031 196 52 \texttt \texttt PROPN bracis-19031 196 53 { { PUNCT bracis-19031 196 54 r}_{2j r}_{2j PROPN bracis-19031 196 55 } } PUNCT bracis-19031 196 56 ) ) PUNCT bracis-19031 196 57 } } PUNCT bracis-19031 196 58 1 1 NUM bracis-19031 196 59 \right \right NOUN bracis-19031 196 60 ) ) PUNCT bracis-19031 196 61 \right \right NOUN bracis-19031 196 62 ) ) PUNCT bracis-19031 196 63 . . PUNCT bracis-19031 197 1 \end{aligned}$$ \end{aligned}$$ X bracis-19031 198 1 whereas whereas SCONJ bracis-19031 198 2 in in ADP bracis-19031 198 3     SPACE bracis-19031 198 4 [ [ X bracis-19031 198 5 5 5 X bracis-19031 198 6 ] ] PUNCT bracis-19031 198 7 the the DET bracis-19031 198 8 value value NOUN bracis-19031 198 9 of of ADP bracis-19031 198 10 p p NOUN bracis-19031 198 11 remained remained AUX bracis-19031 198 12 fixed fix VERB bracis-19031 198 13 throughout throughout ADP bracis-19031 198 14 the the DET bracis-19031 198 15 evolutionary evolutionary ADJ bracis-19031 198 16 process process NOUN bracis-19031 198 17 , , PUNCT bracis-19031 198 18 we we PRON bracis-19031 198 19 adopted adopt VERB bracis-19031 198 20 the the DET bracis-19031 198 21 strategy strategy NOUN bracis-19031 198 22 proposed propose VERB bracis-19031 198 23 in in ADP bracis-19031 198 24     SPACE bracis-19031 198 25 [ [ X bracis-19031 198 26 4 4 NUM bracis-19031 198 27 ] ] PUNCT bracis-19031 198 28 . . PUNCT bracis-19031 199 1 after after ADP bracis-19031 199 2 each each DET bracis-19031 199 3 generation generation NOUN bracis-19031 199 4 g g ADP bracis-19031 199 5 , , PUNCT bracis-19031 199 6 the the DET bracis-19031 199 7 p p NOUN bracis-19031 199 8 value value NOUN bracis-19031 199 9 in in ADP bracis-19031 199 10 the the DET bracis-19031 199 11 next next ADJ bracis-19031 199 12 generation generation NOUN bracis-19031 199 13 \(g+1\ \(g+1\ NOUN bracis-19031 199 14 ) ) PUNCT bracis-19031 199 15 is be AUX bracis-19031 199 16 computed compute VERB bracis-19031 199 17 as as SCONJ bracis-19031 199 18 follows follow VERB bracis-19031 199 19 : : PUNCT bracis-19031 199 20 $ $ SYM bracis-19031 199 21 $ $ SYM bracis-19031 199 22 \begin{aligned \begin{aligne VERB bracis-19031 199 23 } } PUNCT bracis-19031 199 24 p p X bracis-19031 199 25 = = PUNCT bracis-19031 199 26 \left \left PROPN bracis-19031 199 27 ( ( PUNCT bracis-19031 199 28 \frac{p \frac{p NOUN bracis-19031 199 29 _ _ PRON bracis-19031 199 30 { { PUNCT bracis-19031 199 31 max max NOUN bracis-19031 199 32 } } PUNCT bracis-19031 199 33 p p PROPN bracis-19031 199 34 _ _ PROPN bracis-19031 199 35 { { PUNCT bracis-19031 199 36 min min NOUN bracis-19031 199 37 } } PUNCT bracis-19031 199 38 } } PUNCT bracis-19031 199 39 { { PUNCT bracis-19031 199 40 maxfes maxfe NOUN bracis-19031 199 41 } } PUNCT bracis-19031 199 42 \right \right NOUN bracis-19031 199 43 ) ) PUNCT bracis-19031 199 44 \cdot \cdot NOUN bracis-19031 199 45 nfes nfe NOUN bracis-19031 199 46 + + CCONJ bracis-19031 199 47 p p X bracis-19031 199 48 _ _ PROPN bracis-19031 199 49 { { PUNCT bracis-19031 199 50 min min NOUN bracis-19031 199 51 } } PUNCT bracis-19031 199 52 , , PUNCT bracis-19031 199 53 \end{aligned}$$ \end{aligned}$$ X bracis-19031 199 54 ( ( PUNCT bracis-19031 199 55 7 7 NUM bracis-19031 199 56 ) ) PUNCT bracis-19031 199 57 where where SCONJ bracis-19031 199 58 \(p \(p NOUN bracis-19031 199 59 _ _ PRON bracis-19031 199 60 { { PUNCT bracis-19031 199 61 min min NOUN bracis-19031 199 62 } } PUNCT bracis-19031 199 63 \ \ NOUN bracis-19031 199 64 ) ) PUNCT bracis-19031 199 65 and and CCONJ bracis-19031 199 66 \(p \(p NOUN bracis-19031 199 67 _ _ PRON bracis-19031 199 68 { { PUNCT bracis-19031 199 69 max max PROPN bracis-19031 199 70 } } PUNCT bracis-19031 199 71 \ \ NOUN bracis-19031 199 72 ) ) PUNCT bracis-19031 199 73 are be AUX bracis-19031 199 74 , , PUNCT bracis-19031 199 75 respectively respectively ADV bracis-19031 199 76 , , PUNCT bracis-19031 199 77 the the DET bracis-19031 199 78 minimum minimum ADJ bracis-19031 199 79 and and CCONJ bracis-19031 199 80 maximum maximum ADJ bracis-19031 199 81 values value NOUN bracis-19031 199 82 of of ADP bracis-19031 199 83 p p X bracis-19031 199 84 , , PUNCT bracis-19031 199 85 \ \ PROPN bracis-19031 199 86 ( ( PUNCT bracis-19031 199 87 nfes nfe NOUN bracis-19031 199 88 \ \ NOUN bracis-19031 199 89 ) ) PUNCT bracis-19031 199 90 is be AUX bracis-19031 199 91 the the DET bracis-19031 199 92 current current ADJ bracis-19031 199 93 number number NOUN bracis-19031 199 94 of of ADP bracis-19031 199 95 fitness fitness NOUN bracis-19031 199 96 evaluations evaluation NOUN bracis-19031 199 97 and and CCONJ bracis-19031 199 98 \ \ PROPN bracis-19031 199 99 ( ( PUNCT bracis-19031 199 100 maxfes maxfe NOUN bracis-19031 199 101 \ \ NOUN bracis-19031 199 102 ) ) PUNCT bracis-19031 199 103 is be AUX bracis-19031 199 104 the the DET bracis-19031 199 105 maximum maximum ADJ bracis-19031 199 106 number number NOUN bracis-19031 199 107 of of ADP bracis-19031 199 108 fitness fitness NOUN bracis-19031 199 109 evaluations evaluation NOUN bracis-19031 199 110 . . PUNCT bracis-19031 200 1 additionally additionally ADV bracis-19031 200 2 , , PUNCT bracis-19031 200 3 in in ADP bracis-19031 200 4     SPACE bracis-19031 200 5 [ [ X bracis-19031 200 6 5 5 X bracis-19031 200 7 ] ] PUNCT bracis-19031 200 8 if if SCONJ bracis-19031 200 9 the the DET bracis-19031 200 10 width width ADJ bracis-19031 200 11 \(\omega \(\omega NOUN bracis-19031 200 12 ( ( PUNCT bracis-19031 200 13 \texttt \texttt PROPN bracis-19031 200 14 { { PUNCT bracis-19031 200 15 u}_{ij})\ u}_{ij})\ PROPN bracis-19031 200 16 ) ) PUNCT bracis-19031 200 17 is be AUX bracis-19031 200 18 greater great ADJ bracis-19031 200 19 than than ADP bracis-19031 200 20 the the DET bracis-19031 200 21 width width NOUN bracis-19031 200 22 of of ADP bracis-19031 200 23 the the DET bracis-19031 200 24 base base ADJ bracis-19031 200 25 individual individual NOUN bracis-19031 200 26 \(\omega \(\omega X bracis-19031 200 27 ( ( PUNCT bracis-19031 200 28 \texttt \texttt PROPN bracis-19031 200 29 { { PUNCT bracis-19031 200 30 r}_{1j})\ r}_{1j})\ PROPN bracis-19031 200 31 ) ) PUNCT bracis-19031 200 32 , , PUNCT bracis-19031 200 33 it it PRON bracis-19031 200 34 is be AUX bracis-19031 200 35 updated update VERB bracis-19031 200 36 by by ADP bracis-19031 200 37 \(\omega \(\omega X bracis-19031 200 38 ( ( PUNCT bracis-19031 200 39 \texttt \texttt PROPN bracis-19031 200 40 { { PUNCT bracis-19031 200 41 u}_{ij u}_{ij NOUN bracis-19031 200 42 } } PUNCT bracis-19031 200 43 ) ) PUNCT bracis-19031 200 44 : : PUNCT bracis-19031 201 1 = = SYM bracis-19031 201 2 \omega \omega X bracis-19031 201 3 ( ( PUNCT bracis-19031 201 4 \texttt \texttt PROPN bracis-19031 201 5 { { PUNCT bracis-19031 201 6 r}_{1j})\ r}_{1j})\ PROPN bracis-19031 201 7 ) ) PUNCT bracis-19031 201 8 . . PUNCT bracis-19031 202 1 considering consider VERB bracis-19031 202 2 that that SCONJ bracis-19031 202 3 this this DET bracis-19031 202 4 mechanism mechanism NOUN bracis-19031 202 5 can can AUX bracis-19031 202 6 decrease decrease VERB bracis-19031 202 7 the the DET bracis-19031 202 8 population population NOUN bracis-19031 202 9 diversity diversity NOUN bracis-19031 202 10 by by ADP bracis-19031 202 11 forcing force VERB bracis-19031 202 12 the the DET bracis-19031 202 13 reduction reduction NOUN bracis-19031 202 14 of of ADP bracis-19031 202 15 intervals interval NOUN bracis-19031 202 16 , , PUNCT bracis-19031 202 17 it it PRON bracis-19031 202 18 is be AUX bracis-19031 202 19 not not PART bracis-19031 202 20 used use VERB bracis-19031 202 21 in in ADP bracis-19031 202 22 i2de i2de PROPN bracis-19031 202 23 . . PUNCT bracis-19031 203 1 it it PRON bracis-19031 203 2 is be AUX bracis-19031 203 3 known know VERB bracis-19031 203 4 that that SCONJ bracis-19031 203 5 the the DET bracis-19031 203 6 settings setting NOUN bracis-19031 203 7 of of ADP bracis-19031 203 8 values value NOUN bracis-19031 203 9 for for ADP bracis-19031 203 10 the the DET bracis-19031 203 11 f f PROPN bracis-19031 203 12 and and CCONJ bracis-19031 203 13 \ \ PROPN bracis-19031 203 14 ( ( PUNCT bracis-19031 203 15 cr cr PRON bracis-19031 203 16 \ \ NOUN bracis-19031 203 17 ) ) PUNCT bracis-19031 203 18 parameters parameter NOUN bracis-19031 203 19 is be AUX bracis-19031 203 20 instance instance NOUN bracis-19031 203 21 dependent dependent ADJ bracis-19031 203 22 and and CCONJ bracis-19031 203 23 may may AUX bracis-19031 203 24 change change VERB bracis-19031 203 25 according accord VERB bracis-19031 203 26 to to ADP bracis-19031 203 27 the the DET bracis-19031 203 28 region region NOUN bracis-19031 203 29 of of ADP bracis-19031 203 30 the the DET bracis-19031 203 31 search search NOUN bracis-19031 203 32 space space NOUN bracis-19031 203 33 being be AUX bracis-19031 203 34 visited visit VERB bracis-19031 203 35 . . PUNCT bracis-19031 204 1 to to PART bracis-19031 204 2 make make VERB bracis-19031 204 3 these these DET bracis-19031 204 4 parameters parameter NOUN bracis-19031 204 5 self self NOUN bracis-19031 204 6 - - PUNCT bracis-19031 204 7 adaptive adaptive ADJ bracis-19031 204 8 , , PUNCT bracis-19031 204 9 inde inde PROPN bracis-19031 204 10 employed employ VERB bracis-19031 204 11 a a DET bracis-19031 204 12 scheme scheme NOUN bracis-19031 204 13 introduced introduce VERB bracis-19031 204 14 in in ADP bracis-19031 204 15     SPACE bracis-19031 204 16 [ [ X bracis-19031 204 17 22 22 NUM bracis-19031 204 18 ] ] PUNCT bracis-19031 204 19 that that PRON bracis-19031 204 20 uses use VERB bracis-19031 204 21 a a DET bracis-19031 204 22 pair pair NOUN bracis-19031 204 23 of of ADP bracis-19031 204 24 memory memory NOUN bracis-19031 204 25 values value NOUN bracis-19031 204 26 \(\langle \(\langle PROPN bracis-19031 204 27 m m PRON bracis-19031 204 28 _ _ NOUN bracis-19031 204 29 { { PUNCT bracis-19031 204 30 cr cr X bracis-19031 204 31 } } PUNCT bracis-19031 204 32 , , PUNCT bracis-19031 204 33 m m VERB bracis-19031 204 34 _ _ NOUN bracis-19031 204 35 { { PUNCT bracis-19031 204 36 f f X bracis-19031 204 37 } } PUNCT bracis-19031 204 38 \rangle \rangle PROPN bracis-19031 204 39 \ \ NOUN bracis-19031 204 40 ) ) PUNCT bracis-19031 204 41 for for ADP bracis-19031 204 42 each each DET bracis-19031 204 43 mutation mutation NOUN bracis-19031 204 44 operator operator NOUN bracis-19031 204 45 in in ADP bracis-19031 204 46 order order NOUN bracis-19031 204 47 to to PART bracis-19031 204 48 store store VERB bracis-19031 204 49 the the DET bracis-19031 204 50 settings setting NOUN bracis-19031 204 51 that that PRON bracis-19031 204 52 were be AUX bracis-19031 204 53 successful successful ADJ bracis-19031 204 54 in in ADP bracis-19031 204 55 the the DET bracis-19031 204 56 last last ADJ bracis-19031 204 57 generations generation NOUN bracis-19031 204 58 . . PUNCT bracis-19031 205 1 all all DET bracis-19031 205 2 the the DET bracis-19031 205 3 memory memory NOUN bracis-19031 205 4 pairs pair NOUN bracis-19031 205 5 are be AUX bracis-19031 205 6 stored store VERB bracis-19031 205 7 in in ADP bracis-19031 205 8 a a DET bracis-19031 205 9 vector vector NOUN bracis-19031 205 10 of of ADP bracis-19031 205 11 h h NOUN bracis-19031 205 12 positions position NOUN bracis-19031 205 13 . . PUNCT bracis-19031 206 1 at at ADP bracis-19031 206 2 each each DET bracis-19031 206 3 generation generation NOUN bracis-19031 206 4 one one NUM bracis-19031 206 5 of of ADP bracis-19031 206 6 the the DET bracis-19031 206 7 positions position NOUN bracis-19031 206 8 is be AUX bracis-19031 206 9 circularly circularly ADV bracis-19031 206 10 updated update VERB bracis-19031 206 11 based base VERB bracis-19031 206 12 on on ADP bracis-19031 206 13 the the DET bracis-19031 206 14 weighted weight VERB bracis-19031 206 15 lehmer lehmer NOUN bracis-19031 206 16 mean mean NOUN bracis-19031 206 17 of of ADP bracis-19031 206 18 the the DET bracis-19031 206 19 fitness fitness NOUN bracis-19031 206 20 differences difference NOUN bracis-19031 206 21 between between ADP bracis-19031 206 22 offspring offspring NOUN bracis-19031 206 23 and and CCONJ bracis-19031 206 24 their their PRON bracis-19031 206 25 parents parent NOUN bracis-19031 206 26 . . PUNCT bracis-19031 207 1 in in ADP bracis-19031 207 2 i2de i2de PROPN bracis-19031 207 3 we we PRON bracis-19031 207 4 incorporated incorporate VERB bracis-19031 207 5 some some DET bracis-19031 207 6 features feature NOUN bracis-19031 207 7 proposed propose VERB bracis-19031 207 8 in in ADP bracis-19031 207 9     SPACE bracis-19031 207 10 [ [ X bracis-19031 207 11 3 3 NUM bracis-19031 207 12 , , PUNCT bracis-19031 207 13 4 4 NUM bracis-19031 207 14 ] ] PUNCT bracis-19031 207 15 . . PUNCT bracis-19031 208 1 the the DET bracis-19031 208 2 first first ADJ bracis-19031 208 3 \(h-1\ \(h-1\ PROPN bracis-19031 208 4 ) ) PUNCT bracis-19031 208 5 positions position NOUN bracis-19031 208 6 of of ADP bracis-19031 208 7 the the DET bracis-19031 208 8 vector vector NOUN bracis-19031 208 9 are be AUX bracis-19031 208 10 initialized initialize VERB bracis-19031 208 11 with with ADP bracis-19031 208 12 \(\langle \(\langle PROPN bracis-19031 208 13 0.8 0.8 NUM bracis-19031 208 14 , , PUNCT bracis-19031 208 15 0.3\rangle 0.3\rangle NOUN bracis-19031 208 16 \ \ NOUN bracis-19031 208 17 ) ) PUNCT bracis-19031 208 18 . . PUNCT bracis-19031 209 1 the the DET bracis-19031 209 2 last last ADJ bracis-19031 209 3 position position NOUN bracis-19031 209 4 is be AUX bracis-19031 209 5 always always ADV bracis-19031 209 6 set set VERB bracis-19031 209 7 to to PART bracis-19031 209 8 \(\langle \(\langle VERB bracis-19031 209 9 0.9 0.9 NUM bracis-19031 209 10 , , PUNCT bracis-19031 209 11 0.9\rangle 0.9\rangle NOUN bracis-19031 209 12 \ \ NOUN bracis-19031 209 13 ) ) PUNCT bracis-19031 209 14 and and CCONJ bracis-19031 209 15 remains remain VERB bracis-19031 209 16 unchanged unchanged ADJ bracis-19031 209 17 during during ADP bracis-19031 209 18 the the DET bracis-19031 209 19 evolutionary evolutionary ADJ bracis-19031 209 20 process process NOUN bracis-19031 209 21 . . PUNCT bracis-19031 210 1 at at ADP bracis-19031 210 2 each each DET bracis-19031 210 3 generation generation NOUN bracis-19031 210 4 one one NUM bracis-19031 210 5 of of ADP bracis-19031 210 6 the the DET bracis-19031 210 7 first first ADJ bracis-19031 210 8 \(h-1\ \(h-1\ PROPN bracis-19031 210 9 ) ) PUNCT bracis-19031 210 10 positions position NOUN bracis-19031 210 11 are be AUX bracis-19031 210 12 circularly circularly ADV bracis-19031 210 13 updated update VERB bracis-19031 210 14 based base VERB bracis-19031 210 15 on on ADP bracis-19031 210 16 the the DET bracis-19031 210 17 euclidean euclidean ADJ bracis-19031 210 18 distance distance NOUN bracis-19031 210 19 between between ADP bracis-19031 210 20 the the DET bracis-19031 210 21 coordinates coordinate NOUN bracis-19031 210 22 of of ADP bracis-19031 210 23 offspring offspring NOUN bracis-19031 210 24 and and CCONJ bracis-19031 210 25 their their PRON bracis-19031 210 26 parents parent NOUN bracis-19031 210 27 . . PUNCT bracis-19031 211 1 also also ADV bracis-19031 211 2 , , PUNCT bracis-19031 211 3 very very ADV bracis-19031 211 4 low low ADJ bracis-19031 211 5 values value NOUN bracis-19031 211 6 of of ADP bracis-19031 211 7 \ \ PROPN bracis-19031 211 8 ( ( PUNCT bracis-19031 211 9 cr cr NOUN bracis-19031 211 10 \ \ NOUN bracis-19031 211 11 ) ) PUNCT bracis-19031 211 12 and and CCONJ bracis-19031 211 13 very very ADV bracis-19031 211 14 high high ADJ bracis-19031 211 15 values value NOUN bracis-19031 211 16 of of ADP bracis-19031 211 17 f f PROPN bracis-19031 211 18 are be AUX bracis-19031 211 19 not not PART bracis-19031 211 20 allowed allow VERB bracis-19031 211 21 in in ADP bracis-19031 211 22 early early ADJ bracis-19031 211 23 stages stage NOUN bracis-19031 211 24 of of ADP bracis-19031 211 25 the the DET bracis-19031 211 26 search search NOUN bracis-19031 211 27 . . PUNCT bracis-19031 212 1 it it PRON bracis-19031 212 2 is be AUX bracis-19031 212 3 important important ADJ bracis-19031 212 4 to to PART bracis-19031 212 5 note note VERB bracis-19031 212 6 that that SCONJ bracis-19031 212 7 only only ADJ bracis-19031 212 8 successful successful ADJ bracis-19031 212 9 trial trial NOUN bracis-19031 212 10 vectors vector NOUN bracis-19031 212 11 in in ADP bracis-19031 212 12 a a PRON bracis-19031 212 13 are be AUX bracis-19031 212 14 used use VERB bracis-19031 212 15 in in ADP bracis-19031 212 16 the the DET bracis-19031 212 17 adaptation adaptation NOUN bracis-19031 212 18 of of ADP bracis-19031 212 19 parameters parameter NOUN bracis-19031 212 20 , , PUNCT bracis-19031 212 21 since since SCONJ bracis-19031 212 22 only only ADV bracis-19031 212 23 in in ADP bracis-19031 212 24 this this DET bracis-19031 212 25 sub sub NOUN bracis-19031 212 26 - - NOUN bracis-19031 212 27 population population NOUN bracis-19031 212 28 the the DET bracis-19031 212 29 three three NUM bracis-19031 212 30 strategies strategy NOUN bracis-19031 212 31 are be AUX bracis-19031 212 32 used use VERB bracis-19031 212 33 for for ADP bracis-19031 212 34 each each DET bracis-19031 212 35 individual individual NOUN bracis-19031 212 36 . . PUNCT bracis-19031 213 1 3.3 3.3 NUM bracis-19031 213 2 fitness fitness NOUN bracis-19031 213 3 evaluations evaluation NOUN bracis-19031 213 4 to to PART bracis-19031 213 5 estimate estimate VERB bracis-19031 213 6 the the DET bracis-19031 213 7 quality quality NOUN bracis-19031 213 8 of of ADP bracis-19031 213 9 the the DET bracis-19031 213 10 boxes box NOUN bracis-19031 213 11 that that PRON bracis-19031 213 12 represent represent VERB bracis-19031 213 13 individuals individual NOUN bracis-19031 213 14 in in ADP bracis-19031 213 15 the the DET bracis-19031 213 16 population population NOUN bracis-19031 213 17 , , PUNCT bracis-19031 213 18 we we PRON bracis-19031 213 19 use use VERB bracis-19031 213 20 ogre ogre NOUN bracis-19031 213 21 ’s ’s ADV bracis-19031 213 22 pruning prune VERB bracis-19031 213 23 and and CCONJ bracis-19031 213 24 local local ADJ bracis-19031 213 25 search search NOUN bracis-19031 213 26 strategy strategy NOUN bracis-19031 213 27 . . PUNCT bracis-19031 214 1 first first ADV bracis-19031 214 2 , , PUNCT bracis-19031 214 3 we we PRON bracis-19031 214 4 enforce enforce VERB bracis-19031 214 5 gac gac NOUN bracis-19031 214 6 on on ADP bracis-19031 214 7 individuals individual NOUN bracis-19031 214 8 from from ADP bracis-19031 214 9 the the DET bracis-19031 214 10 initial initial ADJ bracis-19031 214 11 population population NOUN bracis-19031 214 12 or or CCONJ bracis-19031 214 13 resulting result VERB bracis-19031 214 14 from from ADP bracis-19031 214 15 the the DET bracis-19031 214 16 operators operator NOUN bracis-19031 214 17 mentioned mention VERB bracis-19031 214 18 in in ADP bracis-19031 214 19 sect sect NOUN bracis-19031 214 20 . . PUNCT bracis-19031 214 21     SPACE bracis-19031 214 22 3.2 3.2 NUM bracis-19031 214 23 . . PUNCT bracis-19031 215 1 then then ADV bracis-19031 215 2 , , PUNCT bracis-19031 215 3 we we PRON bracis-19031 215 4 try try VERB bracis-19031 215 5 the the DET bracis-19031 215 6 instantiation instantiation NOUN bracis-19031 215 7 of of ADP bracis-19031 215 8 the the DET bracis-19031 215 9 entire entire ADJ bracis-19031 215 10 cn cn PROPN bracis-19031 215 11 in in ADP bracis-19031 215 12 a a DET bracis-19031 215 13 backtrack backtrack NOUN bracis-19031 215 14 - - PUNCT bracis-19031 215 15 free free ADJ bracis-19031 215 16 fashion fashion NOUN bracis-19031 215 17 starting start VERB bracis-19031 215 18 by by ADP bracis-19031 215 19 the the DET bracis-19031 215 20 initial initial ADJ bracis-19031 215 21 valuation valuation NOUN bracis-19031 215 22 \(y \(y PROPN bracis-19031 215 23 = = SYM bracis-19031 215 24 \min \min NOUN bracis-19031 215 25 y\ y\ PROPN bracis-19031 215 26 ) ) PUNCT bracis-19031 215 27 , , PUNCT bracis-19031 215 28 where where SCONJ bracis-19031 215 29 y y PROPN bracis-19031 215 30 is be AUX bracis-19031 215 31 the the DET bracis-19031 215 32 interval interval NOUN bracis-19031 215 33 domain domain NOUN bracis-19031 215 34 of of ADP bracis-19031 215 35 the the DET bracis-19031 215 36 objective objective ADJ bracis-19031 215 37 function function NOUN bracis-19031 215 38 \(f(\texttt \(f(\texttt X bracis-19031 215 39 { { PUNCT bracis-19031 215 40 x})\ x})\ PROPN bracis-19031 215 41 ) ) PUNCT bracis-19031 215 42 . . PUNCT bracis-19031 216 1 we we PRON bracis-19031 216 2 allow allow VERB bracis-19031 216 3 the the DET bracis-19031 216 4 constraints constraint NOUN bracis-19031 216 5 in in ADP bracis-19031 216 6 the the DET bracis-19031 216 7 \(\varomega \(\varomega NOUN bracis-19031 216 8 \ \ NOUN bracis-19031 216 9 ) ) PUNCT bracis-19031 216 10 set set NOUN bracis-19031 216 11 of of ADP bracis-19031 216 12 the the DET bracis-19031 216 13 epiphytic epiphytic ADJ bracis-19031 216 14 decomposition decomposition NOUN bracis-19031 216 15 to to PART bracis-19031 216 16 be be AUX bracis-19031 216 17 instantiated instantiate VERB bracis-19031 216 18 regardless regardless ADV bracis-19031 216 19 of of ADP bracis-19031 216 20 the the DET bracis-19031 216 21 tolerance tolerance NOUN bracis-19031 216 22 \(\varepsilon \(\varepsilon NOUN bracis-19031 216 23 _ _ PUNCT bracis-19031 216 24 { { PUNCT bracis-19031 216 25 \varomega \varomega NOUN bracis-19031 216 26 } } PUNCT bracis-19031 216 27 \ \ NOUN bracis-19031 216 28 ) ) PUNCT bracis-19031 216 29 required require VERB bracis-19031 216 30 to to PART bracis-19031 216 31 satisfy satisfy VERB bracis-19031 216 32 them they PRON bracis-19031 216 33 . . PUNCT bracis-19031 217 1 in in ADP bracis-19031 217 2     SPACE bracis-19031 217 3 [ [ X bracis-19031 217 4 5 5 NUM bracis-19031 217 5 ] ] PUNCT bracis-19031 217 6 , , PUNCT bracis-19031 217 7 the the DET bracis-19031 217 8 sum sum NOUN bracis-19031 217 9 of of ADP bracis-19031 217 10 all all DET bracis-19031 217 11 these these DET bracis-19031 217 12 tolerances tolerance NOUN bracis-19031 217 13 is be AUX bracis-19031 217 14 considered consider VERB bracis-19031 217 15 the the DET bracis-19031 217 16 constraint constraint NOUN bracis-19031 217 17 violation violation NOUN bracis-19031 217 18 value value NOUN bracis-19031 217 19 \(\phi \(\phi NOUN bracis-19031 217 20 ( ( PUNCT bracis-19031 217 21 \texttt \texttt PROPN bracis-19031 217 22 { { PUNCT bracis-19031 217 23 x})\ x})\ PROPN bracis-19031 217 24 ) ) PUNCT bracis-19031 217 25 of of ADP bracis-19031 217 26 the the DET bracis-19031 217 27 individual individual NOUN bracis-19031 217 28 , , PUNCT bracis-19031 217 29 while while SCONJ bracis-19031 217 30 its its PRON bracis-19031 217 31 cost cost NOUN bracis-19031 217 32 is be AUX bracis-19031 217 33 \(f(\texttt \(f(\texttt NOUN bracis-19031 217 34 { { PUNCT bracis-19031 217 35 x x NOUN bracis-19031 217 36 } } PUNCT bracis-19031 217 37 ) ) PUNCT bracis-19031 217 38 = = SYM bracis-19031 217 39 \min \min NOUN bracis-19031 217 40 y\ y\ PROPN bracis-19031 217 41 ) ) PUNCT bracis-19031 217 42 . . PUNCT bracis-19031 218 1 in in ADP bracis-19031 218 2 this this DET bracis-19031 218 3 paper paper NOUN bracis-19031 218 4 we we PRON bracis-19031 218 5 assume assume VERB bracis-19031 218 6 that that SCONJ bracis-19031 218 7 the the DET bracis-19031 218 8 instantiation instantiation NOUN bracis-19031 218 9 of of ADP bracis-19031 218 10 real real ADJ bracis-19031 218 11 parameters parameter NOUN bracis-19031 218 12 described describe VERB bracis-19031 218 13 above above ADV bracis-19031 218 14 provides provide VERB bracis-19031 218 15 suitable suitable ADJ bracis-19031 218 16 reference reference NOUN bracis-19031 218 17 points point NOUN bracis-19031 218 18 for for ADP bracis-19031 218 19 evaluating evaluate VERB bracis-19031 218 20 interval interval NOUN bracis-19031 218 21 individuals individual NOUN bracis-19031 218 22 . . PUNCT bracis-19031 219 1 however however ADV bracis-19031 219 2 , , PUNCT bracis-19031 219 3 to to PART bracis-19031 219 4 obtain obtain VERB bracis-19031 219 5 the the DET bracis-19031 219 6 real real ADJ bracis-19031 219 7 values value NOUN bracis-19031 219 8 of of ADP bracis-19031 219 9 \(f(\texttt \(f(\texttt X bracis-19031 219 10 { { PUNCT bracis-19031 219 11 x})\ x})\ PUNCT bracis-19031 219 12 ) ) PUNCT bracis-19031 219 13 and and CCONJ bracis-19031 219 14 \(\phi \(\phi NOUN bracis-19031 219 15 ( ( PUNCT bracis-19031 219 16 \texttt \texttt PROPN bracis-19031 219 17 { { PUNCT bracis-19031 219 18 x})\ x})\ PROPN bracis-19031 219 19 ) ) PUNCT bracis-19031 219 20 , , PUNCT bracis-19031 219 21 we we PRON bracis-19031 219 22 only only ADV bracis-19031 219 23 consider consider VERB bracis-19031 219 24 the the DET bracis-19031 219 25 instantiation instantiation NOUN bracis-19031 219 26 of of ADP bracis-19031 219 27 variables variable NOUN bracis-19031 219 28 belonging belong VERB bracis-19031 219 29 to to ADP bracis-19031 219 30 the the DET bracis-19031 219 31 original original ADJ bracis-19031 219 32 modeling modeling NOUN bracis-19031 219 33 of of ADP bracis-19031 219 34 the the DET bracis-19031 219 35 instance instance NOUN bracis-19031 219 36 , , PUNCT bracis-19031 219 37 not not PART bracis-19031 219 38 the the DET bracis-19031 219 39 approximation approximation NOUN bracis-19031 219 40 given give VERB bracis-19031 219 41 by by ADP bracis-19031 219 42 the the DET bracis-19031 219 43 ternary ternary ADJ bracis-19031 219 44 cn cn PROPN bracis-19031 219 45 employed employ VERB bracis-19031 219 46 in in ADP bracis-19031 219 47     SPACE bracis-19031 219 48 [ [ X bracis-19031 219 49 5 5 NUM bracis-19031 219 50 ] ] PUNCT bracis-19031 219 51 . . PUNCT bracis-19031 220 1 this this PRON bracis-19031 220 2 allows allow VERB bracis-19031 220 3 us we PRON bracis-19031 220 4 to to PART bracis-19031 220 5 compare compare VERB bracis-19031 220 6 results result NOUN bracis-19031 220 7 with with ADP bracis-19031 220 8 recent recent ADJ bracis-19031 220 9 black black ADJ bracis-19031 220 10 - - PUNCT bracis-19031 220 11 box box NOUN bracis-19031 220 12 solvers solver NOUN bracis-19031 220 13 that that PRON bracis-19031 220 14 use use VERB bracis-19031 220 15 the the DET bracis-19031 220 16 original original ADJ bracis-19031 220 17 instance instance NOUN bracis-19031 220 18 modeling modeling NOUN bracis-19031 220 19 . . PUNCT bracis-19031 221 1 the the DET bracis-19031 221 2 consistent consistent ADJ bracis-19031 221 3 individuals individual NOUN bracis-19031 221 4 obtained obtain VERB bracis-19031 221 5 by by ADP bracis-19031 221 6 the the DET bracis-19031 221 7 gac gac PROPN bracis-19031 221 8 contractor contractor NOUN bracis-19031 221 9 may may AUX bracis-19031 221 10 contain contain VERB bracis-19031 221 11 multi multi NOUN bracis-19031 221 12 - - NOUN bracis-19031 221 13 intervals interval NOUN bracis-19031 221 14 . . PUNCT bracis-19031 222 1 in in ADP bracis-19031 222 2     SPACE bracis-19031 222 3 [ [ X bracis-19031 222 4 5 5 NUM bracis-19031 222 5 ] ] PUNCT bracis-19031 222 6 , , PUNCT bracis-19031 222 7 such such ADJ bracis-19031 222 8 multi multi ADJ bracis-19031 222 9 - - ADJ bracis-19031 222 10 interval interval ADJ bracis-19031 222 11 box box NOUN bracis-19031 222 12 was be AUX bracis-19031 222 13 split split VERB bracis-19031 222 14 into into ADP bracis-19031 222 15 a a DET bracis-19031 222 16 set set NOUN bracis-19031 222 17 of of ADP bracis-19031 222 18 interval interval NOUN bracis-19031 222 19 individuals individual NOUN bracis-19031 222 20 , , PUNCT bracis-19031 222 21 adding add VERB bracis-19031 222 22 to to ADP bracis-19031 222 23 the the DET bracis-19031 222 24 population population NOUN bracis-19031 222 25 the the DET bracis-19031 222 26 one one NOUN bracis-19031 222 27 with with ADP bracis-19031 222 28 the the DET bracis-19031 222 29 best good ADJ bracis-19031 222 30 fitness fitness NOUN bracis-19031 222 31 value value NOUN bracis-19031 222 32 ( ( PUNCT bracis-19031 222 33 if if SCONJ bracis-19031 222 34 it it PRON bracis-19031 222 35 is be AUX bracis-19031 222 36 better well ADJ bracis-19031 222 37 than than ADP bracis-19031 222 38 the the DET bracis-19031 222 39 target target NOUN bracis-19031 222 40 vector vector NOUN bracis-19031 222 41 ) ) PUNCT bracis-19031 222 42 and and CCONJ bracis-19031 222 43 saving save VERB bracis-19031 222 44 all all DET bracis-19031 222 45 other other ADJ bracis-19031 222 46 generated generate VERB bracis-19031 222 47 interval interval NOUN bracis-19031 222 48 individuals individual NOUN bracis-19031 222 49 in in ADP bracis-19031 222 50 the the DET bracis-19031 222 51 additional additional ADJ bracis-19031 222 52 archive archive NOUN bracis-19031 222 53 . . PUNCT bracis-19031 223 1 as as SCONJ bracis-19031 223 2 commented comment VERB bracis-19031 223 3 in in ADP bracis-19031 223 4 the the DET bracis-19031 223 5 sect sect NOUN bracis-19031 223 6 . . PUNCT bracis-19031 223 7     SPACE bracis-19031 224 1 3.1 3.1 NUM bracis-19031 224 2 , , PUNCT bracis-19031 224 3 our our PRON bracis-19031 224 4 tests test NOUN bracis-19031 224 5 revealed reveal VERB bracis-19031 224 6 that that SCONJ bracis-19031 224 7 this this DET bracis-19031 224 8 mechanism mechanism NOUN bracis-19031 224 9 is be AUX bracis-19031 224 10 computationally computationally ADV bracis-19031 224 11 expensive expensive ADJ bracis-19031 224 12 and and CCONJ bracis-19031 224 13 does do AUX bracis-19031 224 14 not not PART bracis-19031 224 15 contribute contribute VERB bracis-19031 224 16 to to ADP bracis-19031 224 17 maintaining maintain VERB bracis-19031 224 18 the the DET bracis-19031 224 19 population population NOUN bracis-19031 224 20 diversity diversity NOUN bracis-19031 224 21 . . PUNCT bracis-19031 225 1 so so ADV bracis-19031 225 2 , , PUNCT bracis-19031 225 3 instead instead ADV bracis-19031 225 4 of of ADP bracis-19031 225 5 splitting split VERB bracis-19031 225 6 the the DET bracis-19031 225 7 multi multi NOUN bracis-19031 225 8 - - NOUN bracis-19031 225 9 intervals interval NOUN bracis-19031 225 10 and and CCONJ bracis-19031 225 11 adding add VERB bracis-19031 225 12 them they PRON bracis-19031 225 13 to to ADP bracis-19031 225 14 the the DET bracis-19031 225 15 archive archive NOUN bracis-19031 225 16 , , PUNCT bracis-19031 225 17 we we PRON bracis-19031 225 18 use use VERB bracis-19031 225 19 the the DET bracis-19031 225 20 interval interval NOUN bracis-19031 225 21 hull hull NOUN bracis-19031 225 22 of of ADP bracis-19031 225 23 the the DET bracis-19031 225 24 box box PROPN bracis-19031 225 25 ( ( PUNCT bracis-19031 225 26 the the DET bracis-19031 225 27 smallest small ADJ bracis-19031 225 28 interval interval NOUN bracis-19031 225 29 box box NOUN bracis-19031 225 30 that that PRON bracis-19031 225 31 contains contain VERB bracis-19031 225 32 all all DET bracis-19031 225 33 the the DET bracis-19031 225 34 multi multi NOUN bracis-19031 225 35 - - NOUN bracis-19031 225 36 intervals interval NOUN bracis-19031 225 37 ) ) PUNCT bracis-19031 225 38 and and CCONJ bracis-19031 225 39 consider consider VERB bracis-19031 225 40 it it PRON bracis-19031 225 41 as as ADP bracis-19031 225 42 only only ADV bracis-19031 225 43 one one NUM bracis-19031 225 44 individual individual NOUN bracis-19031 225 45 which which PRON bracis-19031 225 46 is be AUX bracis-19031 225 47 compared compare VERB bracis-19031 225 48 with with ADP bracis-19031 225 49 its its PRON bracis-19031 225 50 parent parent NOUN bracis-19031 225 51 in in ADP bracis-19031 225 52 the the DET bracis-19031 225 53 selection selection NOUN bracis-19031 225 54 operation operation NOUN bracis-19031 225 55 . . PUNCT bracis-19031 226 1 in in ADP bracis-19031 226 2 order order NOUN bracis-19031 226 3 to to PART bracis-19031 226 4 compare compare VERB bracis-19031 226 5 two two NUM bracis-19031 226 6 individuals individual NOUN bracis-19031 226 7 , , PUNCT bracis-19031 226 8 we we PRON bracis-19031 226 9 apply apply VERB bracis-19031 226 10 the the DET bracis-19031 226 11 widely widely ADV bracis-19031 226 12 used use VERB bracis-19031 226 13 \(\varepsilon \(\varepsilon NOUN bracis-19031 226 14 \ \ NOUN bracis-19031 226 15 ) ) PUNCT bracis-19031 226 16 constrained constrain VERB bracis-19031 226 17 method method NOUN bracis-19031 226 18     SPACE bracis-19031 227 1 [ [ X bracis-19031 227 2 21 21 NUM bracis-19031 227 3 ] ] PUNCT bracis-19031 227 4 . . PUNCT bracis-19031 228 1 the the DET bracis-19031 228 2 \(\varepsilon \(\varepsilon NOUN bracis-19031 228 3 \ \ NOUN bracis-19031 228 4 ) ) PUNCT bracis-19031 228 5 comparisons comparison NOUN bracis-19031 228 6 are be AUX bracis-19031 228 7 defined define VERB bracis-19031 228 8 as as ADP bracis-19031 228 9 a a DET bracis-19031 228 10 lexicographic lexicographic ADJ bracis-19031 228 11 order order NOUN bracis-19031 228 12 in in ADP bracis-19031 228 13 which which PRON bracis-19031 228 14 \(\phi \(\phi NOUN bracis-19031 228 15 ( ( PUNCT bracis-19031 228 16 \texttt \texttt PROPN bracis-19031 228 17 { { PUNCT bracis-19031 228 18 x})\ x})\ PROPN bracis-19031 228 19 ) ) PUNCT bracis-19031 228 20 precedes precede VERB bracis-19031 228 21 \(f(\texttt \(f(\texttt X bracis-19031 228 22 { { PUNCT bracis-19031 228 23 x})\ x})\ PROPN bracis-19031 228 24 ) ) PUNCT bracis-19031 228 25 . . PUNCT bracis-19031 229 1 this this DET bracis-19031 229 2 precedence precedence NOUN bracis-19031 229 3 is be AUX bracis-19031 229 4 adjusted adjust VERB bracis-19031 229 5 by by ADP bracis-19031 229 6 the the DET bracis-19031 229 7 parameter parameter NOUN bracis-19031 229 8 \(\varepsilon \(\varepsilon NOUN bracis-19031 229 9 \ \ PROPN bracis-19031 229 10 ) ) PUNCT bracis-19031 229 11 that that PRON bracis-19031 229 12 is be AUX bracis-19031 229 13 updated update VERB bracis-19031 229 14 at at ADP bracis-19031 229 15 each each DET bracis-19031 229 16 generation generation NOUN bracis-19031 229 17 until until SCONJ bracis-19031 229 18 the the DET bracis-19031 229 19 number number NOUN bracis-19031 229 20 of of ADP bracis-19031 229 21 generations generation NOUN bracis-19031 229 22 exceeds exceed VERB bracis-19031 229 23 a a DET bracis-19031 229 24 predefined predefine VERB bracis-19031 229 25 threshold threshold NOUN bracis-19031 229 26 . . PUNCT bracis-19031 230 1 from from ADP bracis-19031 230 2 this this DET bracis-19031 230 3 point point NOUN bracis-19031 230 4 the the DET bracis-19031 230 5 \(\varepsilon \(\varepsilon NOUN bracis-19031 230 6 \ \ NOUN bracis-19031 230 7 ) ) PUNCT bracis-19031 230 8 level level NOUN bracis-19031 230 9 is be AUX bracis-19031 230 10 set set VERB bracis-19031 230 11 to to ADP bracis-19031 230 12 0 0 NUM bracis-19031 230 13 to to PART bracis-19031 230 14 prefer prefer VERB bracis-19031 230 15 solutions solution NOUN bracis-19031 230 16 with with ADP bracis-19031 230 17 minimum minimum ADJ bracis-19031 230 18 constraint constraint NOUN bracis-19031 230 19 violation violation NOUN bracis-19031 230 20 . . PUNCT bracis-19031 231 1 4 4 NUM bracis-19031 231 2 experimental experimental ADJ bracis-19031 231 3 results result VERB bracis-19031 231 4 our our PRON bracis-19031 231 5 experimental experimental ADJ bracis-19031 231 6 evaluation evaluation NOUN bracis-19031 231 7 considers consider VERB bracis-19031 231 8 four four NUM bracis-19031 231 9 solvers solver NOUN bracis-19031 231 10 : : PUNCT bracis-19031 231 11 the the DET bracis-19031 231 12 improved improved ADJ bracis-19031 231 13 approach approach NOUN bracis-19031 231 14 proposed propose VERB bracis-19031 231 15 in in ADP bracis-19031 231 16 this this DET bracis-19031 231 17 paper paper NOUN bracis-19031 231 18 ( ( PUNCT bracis-19031 231 19 i2de i2de PROPN bracis-19031 231 20 ) ) PUNCT bracis-19031 231 21 ; ; PUNCT bracis-19031 231 22 an an DET bracis-19031 231 23 implementation implementation NOUN bracis-19031 231 24 that that PRON bracis-19031 231 25 uses use VERB bracis-19031 231 26 the the DET bracis-19031 231 27 same same ADJ bracis-19031 231 28 de de X bracis-19031 231 29 interval interval NOUN bracis-19031 231 30 operations operation NOUN bracis-19031 231 31 and and CCONJ bracis-19031 231 32 additional additional ADJ bracis-19031 231 33 archive archive NOUN bracis-19031 231 34 of of ADP bracis-19031 231 35 the the DET bracis-19031 231 36 original original ADJ bracis-19031 231 37 inde inde NOUN bracis-19031 231 38     SPACE bracis-19031 232 1 [ [ X bracis-19031 232 2 5 5 NUM bracis-19031 232 3 ] ] PUNCT bracis-19031 232 4 ; ; PUNCT bracis-19031 232 5 a a DET bracis-19031 232 6 black black ADJ bracis-19031 232 7 - - PUNCT bracis-19031 232 8 box box NOUN bracis-19031 232 9 version version NOUN bracis-19031 232 10 of of ADP bracis-19031 232 11 the the DET bracis-19031 232 12 i2de i2de PROPN bracis-19031 232 13 ( ( PUNCT bracis-19031 232 14 bbde bbde PROPN bracis-19031 232 15 ) ) PUNCT bracis-19031 232 16 ; ; PUNCT bracis-19031 232 17 and and CCONJ bracis-19031 232 18 ogre ogre NOUN bracis-19031 232 19     SPACE bracis-19031 233 1 [ [ X bracis-19031 233 2 8 8 NUM bracis-19031 233 3 ] ] PUNCT bracis-19031 233 4 . . PUNCT bracis-19031 234 1 the the DET bracis-19031 234 2 aim aim NOUN bracis-19031 234 3 of of ADP bracis-19031 234 4 use use VERB bracis-19031 234 5 the the DET bracis-19031 234 6 features feature NOUN bracis-19031 234 7 of of ADP bracis-19031 234 8 original original ADJ bracis-19031 234 9 inde inde NOUN bracis-19031 234 10 is be AUX bracis-19031 234 11 to to PART bracis-19031 234 12 measure measure VERB bracis-19031 234 13 the the DET bracis-19031 234 14 impact impact NOUN bracis-19031 234 15 of of ADP bracis-19031 234 16 the the DET bracis-19031 234 17 modifications modification NOUN bracis-19031 234 18 incorporated incorporate VERB bracis-19031 234 19 in in ADP bracis-19031 234 20 our our PRON bracis-19031 234 21 approach approach NOUN bracis-19031 234 22 . . PUNCT bracis-19031 235 1 the the DET bracis-19031 235 2 black black ADJ bracis-19031 235 3 - - PUNCT bracis-19031 235 4 box box NOUN bracis-19031 235 5 version version NOUN bracis-19031 235 6 does do AUX bracis-19031 235 7 not not PART bracis-19031 235 8 use use VERB bracis-19031 235 9 interval interval NOUN bracis-19031 235 10 representation representation NOUN bracis-19031 235 11 neither neither CCONJ bracis-19031 235 12 structural structural ADJ bracis-19031 235 13 decomposition decomposition NOUN bracis-19031 235 14 as as ADP bracis-19031 235 15 the the DET bracis-19031 235 16 other other ADJ bracis-19031 235 17 three three NUM bracis-19031 235 18 white white ADJ bracis-19031 235 19 - - PUNCT bracis-19031 235 20 box box NOUN bracis-19031 235 21 solvers solver NOUN bracis-19031 235 22 . . PUNCT bracis-19031 236 1 this this DET bracis-19031 236 2 comparison comparison NOUN bracis-19031 236 3 aims aim VERB bracis-19031 236 4 to to PART bracis-19031 236 5 evaluate evaluate VERB bracis-19031 236 6 the the DET bracis-19031 236 7 impact impact NOUN bracis-19031 236 8 of of ADP bracis-19031 236 9 using use VERB bracis-19031 236 10 the the DET bracis-19031 236 11 instance instance NOUN bracis-19031 236 12 structure structure NOUN bracis-19031 236 13 in in ADP bracis-19031 236 14 optimization optimization NOUN bracis-19031 236 15 process process NOUN bracis-19031 236 16 . . PUNCT bracis-19031 237 1 in in ADP bracis-19031 237 2 turn turn NOUN bracis-19031 237 3 , , PUNCT bracis-19031 237 4 the the DET bracis-19031 237 5 comparative comparative ADJ bracis-19031 237 6 analysis analysis NOUN bracis-19031 237 7 with with ADP bracis-19031 237 8 ogre ogre NOUN bracis-19031 237 9 is be AUX bracis-19031 237 10 intended intend VERB bracis-19031 237 11 to to PART bracis-19031 237 12 provide provide VERB bracis-19031 237 13 a a DET bracis-19031 237 14 baseline baseline NOUN bracis-19031 237 15 with with ADP bracis-19031 237 16 a a DET bracis-19031 237 17 search search NOUN bracis-19031 237 18 method method NOUN bracis-19031 237 19 that that PRON bracis-19031 237 20 employs employ VERB bracis-19031 237 21 ib&b ib&b PROPN bracis-19031 237 22 , , PUNCT bracis-19031 237 23 local local ADJ bracis-19031 237 24 consistency consistency NOUN bracis-19031 237 25 and and CCONJ bracis-19031 237 26 constraint constraint NOUN bracis-19031 237 27 propagation propagation NOUN bracis-19031 237 28 over over ADP bracis-19031 237 29 the the DET bracis-19031 237 30 constraint constraint NOUN bracis-19031 237 31 network network NOUN bracis-19031 237 32 . . PUNCT bracis-19031 238 1 it it PRON bracis-19031 238 2 is be AUX bracis-19031 238 3 important important ADJ bracis-19031 238 4 to to PART bracis-19031 238 5 note note VERB bracis-19031 238 6 that that SCONJ bracis-19031 238 7 local local ADJ bracis-19031 238 8 consistency consistency NOUN bracis-19031 238 9 and and CCONJ bracis-19031 238 10 backtrack backtrack NOUN bracis-19031 238 11 - - PUNCT bracis-19031 238 12 free free ADJ bracis-19031 238 13 local local ADJ bracis-19031 238 14 search search NOUN bracis-19031 238 15 techniques technique NOUN bracis-19031 238 16 are be AUX bracis-19031 238 17 the the DET bracis-19031 238 18 same same ADJ bracis-19031 238 19 in in ADP bracis-19031 238 20 i2de i2de PROPN bracis-19031 238 21 , , PUNCT bracis-19031 238 22 inde inde NOUN bracis-19031 238 23 and and CCONJ bracis-19031 238 24 ogre ogre NOUN bracis-19031 238 25 . . PUNCT bracis-19031 239 1 to to PART bracis-19031 239 2 ensure ensure VERB bracis-19031 239 3 a a DET bracis-19031 239 4 fair fair ADJ bracis-19031 239 5 comparison comparison NOUN bracis-19031 239 6 , , PUNCT bracis-19031 239 7 the the DET bracis-19031 239 8 three three NUM bracis-19031 239 9 de de NOUN bracis-19031 239 10 solvers solver NOUN bracis-19031 239 11 employ employ VERB bracis-19031 239 12 the the DET bracis-19031 239 13 same same ADJ bracis-19031 239 14 heuristics heuristic NOUN bracis-19031 239 15 coming come VERB bracis-19031 239 16 from from ADP bracis-19031 239 17 state state NOUN bracis-19031 239 18 - - PUNCT bracis-19031 239 19 of of ADP bracis-19031 239 20 - - PUNCT bracis-19031 239 21 the the DET bracis-19031 239 22 - - PUNCT bracis-19031 239 23 art art NOUN bracis-19031 239 24 solvers solver NOUN bracis-19031 239 25 for for ADP bracis-19031 239 26 adapting adapt VERB bracis-19031 239 27 and and CCONJ bracis-19031 239 28 adjusting adjust VERB bracis-19031 239 29 parameters parameter NOUN bracis-19031 239 30 , , PUNCT bracis-19031 239 31 as as ADV bracis-19031 239 32 well well ADV bracis-19031 239 33 as as ADP bracis-19031 239 34 the the DET bracis-19031 239 35 same same ADJ bracis-19031 239 36 number number NOUN bracis-19031 239 37 of of ADP bracis-19031 239 38 fitness fitness NOUN bracis-19031 239 39 evaluations evaluation NOUN bracis-19031 239 40 . . PUNCT bracis-19031 240 1 furthermore furthermore ADV bracis-19031 240 2 , , PUNCT bracis-19031 240 3 the the DET bracis-19031 240 4 input input NOUN bracis-19031 240 5 parameters parameter NOUN bracis-19031 240 6 of of ADP bracis-19031 240 7 the the DET bracis-19031 240 8 solvers solver NOUN bracis-19031 240 9 were be AUX bracis-19031 240 10 empirically empirically ADV bracis-19031 240 11 defined define VERB bracis-19031 240 12 after after ADP bracis-19031 240 13 a a DET bracis-19031 240 14 series series NOUN bracis-19031 240 15 of of ADP bracis-19031 240 16 preliminary preliminary ADJ bracis-19031 240 17 experiments experiment NOUN bracis-19031 240 18 . . PUNCT bracis-19031 241 1 it it PRON bracis-19031 241 2 was be AUX bracis-19031 241 3 set set VERB bracis-19031 241 4 to to ADP bracis-19031 241 5 \ \ PROPN bracis-19031 241 6 ( ( PUNCT bracis-19031 241 7 maxfes maxfe NOUN bracis-19031 241 8 = = SYM bracis-19031 241 9 20000 20000 NUM bracis-19031 241 10 \times \times ADP bracis-19031 241 11 d\ d\ PROPN bracis-19031 241 12 ) ) PUNCT bracis-19031 241 13 . . PUNCT bracis-19031 242 1 the the DET bracis-19031 242 2 maximal maximal ADJ bracis-19031 242 3 and and CCONJ bracis-19031 242 4 minimal minimal ADJ bracis-19031 242 5 population population NOUN bracis-19031 242 6 size size NOUN bracis-19031 242 7 was be AUX bracis-19031 242 8 defined define VERB bracis-19031 242 9 as as ADP bracis-19031 242 10 \(\textit{np \(\textit{np NOUN bracis-19031 242 11 } } PUNCT bracis-19031 242 12 _ _ PRON bracis-19031 242 13 { { PUNCT bracis-19031 242 14 max max NOUN bracis-19031 242 15 } } PUNCT bracis-19031 242 16 = = SYM bracis-19031 243 1 15 15 NUM bracis-19031 243 2 \times \time NOUN bracis-19031 243 3 d\ d\ NOUN bracis-19031 243 4 ) ) PUNCT bracis-19031 243 5 and and CCONJ bracis-19031 243 6 \(\textit{np \(\textit{np NOUN bracis-19031 243 7 } } PUNCT bracis-19031 243 8 _ _ PRON bracis-19031 243 9 { { PUNCT bracis-19031 243 10 min min NOUN bracis-19031 243 11 } } PUNCT bracis-19031 243 12 = = SYM bracis-19031 243 13 6\ 6\ NOUN bracis-19031 243 14 ) ) PUNCT bracis-19031 243 15 , , PUNCT bracis-19031 243 16 respectively respectively ADV bracis-19031 243 17 , , PUNCT bracis-19031 243 18 where where SCONJ bracis-19031 243 19 d d NOUN bracis-19031 243 20 is be AUX bracis-19031 243 21 the the DET bracis-19031 243 22 number number NOUN bracis-19031 243 23 of of ADP bracis-19031 243 24 variables variable NOUN bracis-19031 243 25 on on ADP bracis-19031 243 26 the the DET bracis-19031 243 27 original original ADJ bracis-19031 243 28 instance instance NOUN bracis-19031 243 29 . . PUNCT bracis-19031 244 1 note note VERB bracis-19031 244 2 that that SCONJ bracis-19031 244 3 in in ADP bracis-19031 244 4     SPACE bracis-19031 244 5 [ [ X bracis-19031 244 6 5 5 NUM bracis-19031 244 7 ] ] PUNCT bracis-19031 244 8 , , PUNCT bracis-19031 244 9 \ \ PROPN bracis-19031 244 10 ( ( PUNCT bracis-19031 244 11 maxfes maxfe NOUN bracis-19031 244 12 \ \ NOUN bracis-19031 244 13 ) ) PUNCT bracis-19031 244 14 and and CCONJ bracis-19031 244 15 \ \ PROPN bracis-19031 244 16 ( ( PUNCT bracis-19031 244 17 np np INTJ bracis-19031 244 18 \ \ NOUN bracis-19031 244 19 ) ) PUNCT bracis-19031 244 20 were be AUX bracis-19031 244 21 defined define VERB bracis-19031 244 22 in in ADP bracis-19031 244 23 relation relation NOUN bracis-19031 244 24 to to ADP bracis-19031 244 25 \(|v_\varomega \(|v_\varomega NOUN bracis-19031 244 26 |\ |\ PROPN bracis-19031 244 27 ) ) PUNCT bracis-19031 244 28 , , PUNCT bracis-19031 244 29 which which PRON bracis-19031 244 30 resulted result VERB bracis-19031 244 31 in in ADP bracis-19031 244 32 a a DET bracis-19031 244 33 much much ADV bracis-19031 244 34 larger large ADJ bracis-19031 244 35 budget budget NOUN bracis-19031 244 36 and and CCONJ bracis-19031 244 37 population population NOUN bracis-19031 244 38 . . PUNCT bracis-19031 245 1 the the DET bracis-19031 245 2 de de PROPN bracis-19031 245 3 / / SYM bracis-19031 245 4 current current ADJ bracis-19031 245 5 - - PUNCT bracis-19031 245 6 to to ADP bracis-19031 245 7 - - PUNCT bracis-19031 245 8 pbest/1 pbest/1 NOUN bracis-19031 245 9 operator operator NOUN bracis-19031 245 10 used use VERB bracis-19031 245 11 \(p \(p NOUN bracis-19031 245 12 _ _ PRON bracis-19031 245 13 { { PUNCT bracis-19031 245 14 max max NOUN bracis-19031 245 15 } } PUNCT bracis-19031 245 16 = = SYM bracis-19031 245 17 0.25\ 0.25\ X bracis-19031 245 18 ) ) PUNCT bracis-19031 245 19 and and CCONJ bracis-19031 246 1 \(p \(p NOUN bracis-19031 246 2 _ _ PRON bracis-19031 246 3 { { PUNCT bracis-19031 246 4 min min NOUN bracis-19031 246 5 } } PUNCT bracis-19031 246 6 = = PUNCT bracis-19031 247 1 p p X bracis-19031 247 2 _ _ PUNCT bracis-19031 247 3 { { PUNCT bracis-19031 247 4 max max PROPN bracis-19031 247 5 } } PUNCT bracis-19031 247 6 /2\ /2\ PROPN bracis-19031 247 7 ) ) PUNCT bracis-19031 247 8 . . PUNCT bracis-19031 248 1 the the DET bracis-19031 248 2 length length NOUN bracis-19031 248 3 of of ADP bracis-19031 248 4 historical historical ADJ bracis-19031 248 5 memory memory NOUN bracis-19031 248 6 was be AUX bracis-19031 248 7 \(h \(h PROPN bracis-19031 248 8 = = PROPN bracis-19031 248 9 5\ 5\ PROPN bracis-19031 248 10 ) ) PUNCT bracis-19031 248 11 . . PUNCT bracis-19031 249 1 parameters parameter NOUN bracis-19031 249 2 of of ADP bracis-19031 249 3 \(\varepsilon \(\varepsilon NOUN bracis-19031 249 4 \ \ NOUN bracis-19031 249 5 ) ) PUNCT bracis-19031 249 6 level level NOUN bracis-19031 249 7 were be AUX bracis-19031 249 8 \(\theta \(\theta NOUN bracis-19031 249 9 = = SYM bracis-19031 249 10 0.7\ 0.7\ NOUN bracis-19031 249 11 ) ) PUNCT bracis-19031 249 12 , , PUNCT bracis-19031 249 13 \(cp \(cp ADP bracis-19031 250 1 = = SYM bracis-19031 250 2 4\ 4\ PROPN bracis-19031 250 3 ) ) PUNCT bracis-19031 250 4 and and CCONJ bracis-19031 250 5 \(t \(t X bracis-19031 250 6 = = PUNCT bracis-19031 250 7 0.85 0.85 NUM bracis-19031 250 8 \times \times ADP bracis-19031 250 9 g\ g\ NOUN bracis-19031 250 10 ) ) PUNCT bracis-19031 250 11 , , PUNCT bracis-19031 250 12 where where SCONJ bracis-19031 250 13 g g PROPN bracis-19031 250 14 is be AUX bracis-19031 250 15 the the DET bracis-19031 250 16 maximum maximum ADJ bracis-19031 250 17 number number NOUN bracis-19031 250 18 of of ADP bracis-19031 250 19 generations generation NOUN bracis-19031 250 20 . . PUNCT bracis-19031 251 1 we we PRON bracis-19031 251 2 used use VERB bracis-19031 251 3 the the DET bracis-19031 251 4 exponential exponential ADJ bracis-19031 251 5 version version NOUN bracis-19031 251 6 of of ADP bracis-19031 251 7 the the DET bracis-19031 251 8 classical classical ADJ bracis-19031 251 9 crossover crossover NOUN bracis-19031 251 10 operator operator NOUN bracis-19031 251 11 . . PUNCT bracis-19031 252 1 gac gac PROPN bracis-19031 252 2 contractor contractor PROPN bracis-19031 252 3 was be AUX bracis-19031 252 4 applied apply VERB bracis-19031 252 5 to to ADP bracis-19031 252 6 a a DET bracis-19031 252 7 maximum maximum NOUN bracis-19031 252 8 of of ADP bracis-19031 252 9 1000 1000 NUM bracis-19031 252 10 iterations iteration NOUN bracis-19031 252 11 . . PUNCT bracis-19031 253 1 the the DET bracis-19031 253 2 timeout timeout NOUN bracis-19031 253 3 for for ADP bracis-19031 253 4 ogre ogre NOUN bracis-19031 253 5 was be AUX bracis-19031 253 6 10000s 10000s NUM bracis-19031 253 7 . . PUNCT bracis-19031 254 1 since since SCONJ bracis-19031 254 2 ogre ogre NOUN bracis-19031 254 3 parameters parameter NOUN bracis-19031 254 4 \(\varepsilon \(\varepsilon NOUN bracis-19031 254 5 _ _ PROPN bracis-19031 254 6 { { PUNCT bracis-19031 254 7 \varomega \varomega NOUN bracis-19031 254 8 } } PUNCT bracis-19031 254 9 \ \ NOUN bracis-19031 254 10 ) ) PUNCT bracis-19031 254 11 and and CCONJ bracis-19031 254 12 \(\vardelta \(\vardelta ADV bracis-19031 254 13 \ \ NOUN bracis-19031 254 14 ) ) PUNCT bracis-19031 254 15 are be AUX bracis-19031 254 16 not not PART bracis-19031 254 17 trivially trivially ADV bracis-19031 254 18 configured configure VERB bracis-19031 254 19 , , PUNCT bracis-19031 254 20 and and CCONJ bracis-19031 254 21 to to PART bracis-19031 254 22 have have VERB bracis-19031 254 23 a a DET bracis-19031 254 24 similar similar ADJ bracis-19031 254 25 methodology methodology NOUN bracis-19031 254 26 of of ADP bracis-19031 254 27 execution execution NOUN bracis-19031 254 28 to to ADP bracis-19031 254 29 des des PROPN bracis-19031 254 30 , , PUNCT bracis-19031 254 31 we we PRON bracis-19031 254 32 ran run VERB bracis-19031 254 33 25 25 NUM bracis-19031 254 34 different different ADJ bracis-19031 254 35 configurations configuration NOUN bracis-19031 254 36 for for ADP bracis-19031 254 37 each each DET bracis-19031 254 38 instance instance NOUN bracis-19031 254 39 using use VERB bracis-19031 254 40 \(\varepsilon \(\varepsilon NOUN bracis-19031 254 41 _ _ NOUN bracis-19031 254 42 { { PUNCT bracis-19031 254 43 \varomega \varomega NOUN bracis-19031 254 44 } } PUNCT bracis-19031 254 45 \in \in PROPN bracis-19031 254 46 \{10^e\ \{10^e\ PRON bracis-19031 254 47 |\ |\ PROPN bracis-19031 254 48 e e PROPN bracis-19031 254 49 = = PUNCT bracis-19031 254 50 -5 -5 PROPN bracis-19031 254 51 , , PUNCT bracis-19031 254 52 \dotsc \dotsc PROPN bracis-19031 254 53 , , PUNCT bracis-19031 254 54 1\}\ 1\}\ NUM bracis-19031 254 55 ) ) PUNCT bracis-19031 254 56 and and CCONJ bracis-19031 254 57 \(\vardelta \(\vardelta ADV bracis-19031 254 58 \in \in PROPN bracis-19031 254 59 \{10^e\ \{10^e\ PRON bracis-19031 254 60 |\ |\ PROPN bracis-19031 254 61 e e PROPN bracis-19031 254 62 = = SYM bracis-19031 254 63 -6 -6 PROPN bracis-19031 254 64 , , PUNCT bracis-19031 254 65 \dotsc \dotsc PROPN bracis-19031 254 66 , , PUNCT bracis-19031 254 67 0\}\ 0\}\ NUM bracis-19031 254 68 ) ) PUNCT bracis-19031 254 69 , , PUNCT bracis-19031 254 70 \(\vardelta \(\vardelta ADV bracis-19031 254 71 \le \le X bracis-19031 254 72 \varepsilon \varepsilon X bracis-19031 254 73 _ _ PUNCT bracis-19031 254 74 { { PUNCT bracis-19031 254 75 \varomega \varomega NOUN bracis-19031 254 76 } } PUNCT bracis-19031 254 77 \ \ PROPN bracis-19031 254 78 ) ) PUNCT bracis-19031 254 79 . . PUNCT bracis-19031 255 1 although although SCONJ bracis-19031 255 2 most most ADJ bracis-19031 255 3 experimental experimental ADJ bracis-19031 255 4 evaluations evaluation NOUN bracis-19031 255 5 of of ADP bracis-19031 255 6 metaheuristic metaheuristic ADV bracis-19031 255 7 - - PUNCT bracis-19031 255 8 based base VERB bracis-19031 255 9 solvers solver NOUN bracis-19031 255 10 use use VERB bracis-19031 255 11 cec cec PROPN bracis-19031 255 12 competition competition NOUN bracis-19031 255 13 benchmarks benchmark NOUN bracis-19031 255 14 , , PUNCT bracis-19031 255 15 their their PRON bracis-19031 255 16 instances instance NOUN bracis-19031 255 17 are be AUX bracis-19031 255 18 only only ADV bracis-19031 255 19 available available ADJ bracis-19031 255 20 in in SCONJ bracis-19031 255 21 source source NOUN bracis-19031 255 22 code code NOUN bracis-19031 255 23 to to PART bracis-19031 255 24 be be AUX bracis-19031 255 25 used use VERB bracis-19031 255 26 as as ADP bracis-19031 255 27 black black ADJ bracis-19031 255 28 - - PUNCT bracis-19031 255 29 box box NOUN bracis-19031 255 30 evaluation evaluation NOUN bracis-19031 255 31 functions function NOUN bracis-19031 255 32 . . PUNCT bracis-19031 256 1 therefore therefore ADV bracis-19031 256 2 , , PUNCT bracis-19031 256 3 they they PRON bracis-19031 256 4 do do AUX bracis-19031 256 5 not not PART bracis-19031 256 6 provide provide VERB bracis-19031 256 7 the the DET bracis-19031 256 8 necessary necessary ADJ bracis-19031 256 9 formalization formalization NOUN bracis-19031 256 10 for for ADP bracis-19031 256 11 use use NOUN bracis-19031 256 12 in in ADP bracis-19031 256 13 solvers solver NOUN bracis-19031 256 14 that that PRON bracis-19031 256 15 exploit exploit VERB bracis-19031 256 16 structural structural ADJ bracis-19031 256 17 information information NOUN bracis-19031 256 18 of of ADP bracis-19031 256 19 the the DET bracis-19031 256 20 ncop ncop PROPN bracis-19031 256 21 instance instance PROPN bracis-19031 256 22 , , PUNCT bracis-19031 256 23 such such ADJ bracis-19031 256 24 as as ADP bracis-19031 256 25 i2de i2de PROPN bracis-19031 256 26 . . PROPN bracis-19031 256 27 for for ADP bracis-19031 256 28 the the DET bracis-19031 256 29 main main ADJ bracis-19031 256 30 experimental experimental ADJ bracis-19031 256 31 evaluation evaluation NOUN bracis-19031 256 32 we we PRON bracis-19031 256 33 used use VERB bracis-19031 256 34 the the DET bracis-19031 256 35 coconut coconut NOUN bracis-19031 256 36 benchmark benchmark NOUN bracis-19031 256 37     SPACE bracis-19031 257 1 [ [ X bracis-19031 257 2 19 19 NUM bracis-19031 257 3 ] ] PUNCT bracis-19031 257 4 due due ADP bracis-19031 257 5 to to ADP bracis-19031 257 6 its its PRON bracis-19031 257 7 wide wide ADJ bracis-19031 257 8 use use NOUN bracis-19031 257 9 in in ADP bracis-19031 257 10 numerical numerical ADJ bracis-19031 257 11 optimization optimization NOUN bracis-19031 257 12 research research NOUN bracis-19031 257 13 and and CCONJ bracis-19031 257 14 because because SCONJ bracis-19031 257 15 it it PRON bracis-19031 257 16 contains contain VERB bracis-19031 257 17 the the DET bracis-19031 257 18 ampl ampl NOUN bracis-19031 257 19 ( ( PUNCT bracis-19031 257 20 a a DET bracis-19031 257 21 mathematical mathematical ADJ bracis-19031 257 22 programming programming NOUN bracis-19031 257 23 language language NOUN bracis-19031 257 24 ) ) PUNCT bracis-19031 257 25 description description NOUN bracis-19031 257 26 necessary necessary ADJ bracis-19031 257 27 to to PART bracis-19031 257 28 explore explore VERB bracis-19031 257 29 the the DET bracis-19031 257 30 structure structure NOUN bracis-19031 257 31 of of ADP bracis-19031 257 32 the the DET bracis-19031 257 33 instances instance NOUN bracis-19031 257 34 in in ADP bracis-19031 257 35 a a DET bracis-19031 257 36 white white ADJ bracis-19031 257 37 - - PUNCT bracis-19031 257 38 box box NOUN bracis-19031 257 39 approach approach NOUN bracis-19031 257 40 . . PUNCT bracis-19031 258 1 however however ADV bracis-19031 258 2 , , PUNCT bracis-19031 258 3 to to PART bracis-19031 258 4 provide provide VERB bracis-19031 258 5 a a DET bracis-19031 258 6 baseline baseline NOUN bracis-19031 258 7 with with ADP bracis-19031 258 8 some some DET bracis-19031 258 9 state state NOUN bracis-19031 258 10 - - PUNCT bracis-19031 258 11 of of ADP bracis-19031 258 12 - - PUNCT bracis-19031 258 13 the the DET bracis-19031 258 14 - - PUNCT bracis-19031 258 15 art art NOUN bracis-19031 258 16 solversfootnote solversfootnote NOUN bracis-19031 258 17 3 3 NUM bracis-19031 258 18 , , PUNCT bracis-19031 258 19 we we PRON bracis-19031 258 20 compared compare VERB bracis-19031 258 21 our our PRON bracis-19031 258 22 black black ADJ bracis-19031 258 23 - - PUNCT bracis-19031 258 24 box box NOUN bracis-19031 258 25 version version NOUN bracis-19031 258 26 of of ADP bracis-19031 258 27 i2de i2de PROPN bracis-19031 258 28 ( ( PUNCT bracis-19031 258 29 bbde bbde PROPN bracis-19031 258 30 ) ) PUNCT bracis-19031 258 31 with with ADP bracis-19031 258 32 solvers solver NOUN bracis-19031 258 33 from from ADP bracis-19031 258 34 cec2018 cec2018 NOUN bracis-19031 258 35 competition competition NOUN bracis-19031 258 36 on on ADP bracis-19031 258 37 constrained constrain VERB bracis-19031 258 38 real real ADJ bracis-19031 258 39 - - PUNCT bracis-19031 258 40 parameter parameter NOUN bracis-19031 258 41 optimization optimization NOUN bracis-19031 258 42     SPACE bracis-19031 259 1 [ [ X bracis-19031 259 2 27 27 NUM bracis-19031 259 3 ] ] PUNCT bracis-19031 259 4 in in ADP bracis-19031 259 5 the the DET bracis-19031 259 6 28 28 NUM bracis-19031 259 7 proposed propose VERB bracis-19031 259 8 benchmark benchmark NOUN bracis-19031 259 9 functions function NOUN bracis-19031 259 10 with with ADP bracis-19031 259 11 \(d=\{10,30,50,100\}\ \(d=\{10,30,50,100\}\ NOUN bracis-19031 259 12 ) ) PUNCT bracis-19031 259 13 , , PUNCT bracis-19031 259 14 totalizing totalize VERB bracis-19031 259 15 112 112 NUM bracis-19031 259 16 instances instance NOUN bracis-19031 259 17 . . PUNCT bracis-19031 260 1 the the DET bracis-19031 260 2 results result NOUN bracis-19031 260 3 of of ADP bracis-19031 260 4 the the DET bracis-19031 260 5 cec2018 cec2018 ADJ bracis-19031 260 6 solvers solver NOUN bracis-19031 260 7 were be AUX bracis-19031 260 8 obtained obtain VERB bracis-19031 260 9 from from ADP bracis-19031 260 10 the the DET bracis-19031 260 11 competition competition NOUN bracis-19031 260 12 recordsfootnote recordsfootnote VERB bracis-19031 260 13 4 4 NUM bracis-19031 260 14 . . PUNCT bracis-19031 261 1 bbde bbde PROPN bracis-19031 261 2 used use VERB bracis-19031 261 3 the the DET bracis-19031 261 4 same same ADJ bracis-19031 261 5 competition competition NOUN bracis-19031 261 6 protocol protocol NOUN bracis-19031 261 7 , , PUNCT bracis-19031 261 8 with with ADP bracis-19031 261 9 25 25 NUM bracis-19031 261 10 runs run NOUN bracis-19031 261 11 for for ADP bracis-19031 261 12 instance instance NOUN bracis-19031 261 13 . . PUNCT bracis-19031 262 1 table table NOUN bracis-19031 262 2 1 1 NUM bracis-19031 262 3 . . PUNCT bracis-19031 262 4 comparison comparison NOUN bracis-19031 262 5 of of ADP bracis-19031 262 6 bbde bbde NOUN bracis-19031 262 7 with with ADP bracis-19031 262 8 solvers solver NOUN bracis-19031 262 9 from from ADP bracis-19031 262 10 cec2018.full cec2018.full PROPN bracis-19031 262 11 size size NOUN bracis-19031 262 12 table table NOUN bracis-19031 262 13 the the DET bracis-19031 262 14 rank rank NOUN bracis-19031 262 15 of of ADP bracis-19031 262 16 table table NOUN bracis-19031 262 17     SPACE bracis-19031 262 18 1 1 NUM bracis-19031 262 19 considers consider VERB bracis-19031 262 20 the the DET bracis-19031 262 21 cec2018 cec2018 NOUN bracis-19031 263 1 [ [ X bracis-19031 263 2 27 27 NUM bracis-19031 263 3 ] ] SYM bracis-19031 263 4 methodology methodology NOUN bracis-19031 263 5 based base VERB bracis-19031 263 6 on on ADP bracis-19031 263 7 mean mean NOUN bracis-19031 263 8 and and CCONJ bracis-19031 263 9 median median ADJ bracis-19031 263 10 score score NOUN bracis-19031 263 11 values value NOUN bracis-19031 263 12 on on ADP bracis-19031 263 13 each each DET bracis-19031 263 14 instance instance NOUN bracis-19031 263 15 , , PUNCT bracis-19031 263 16 in in ADP bracis-19031 263 17 which which PRON bracis-19031 263 18 the the DET bracis-19031 263 19 best good ADJ bracis-19031 263 20 solver solver NOUN bracis-19031 263 21 obtains obtain VERB bracis-19031 263 22 the the DET bracis-19031 263 23 lowest low ADJ bracis-19031 263 24 total total ADJ bracis-19031 263 25 score score NOUN bracis-19031 263 26 . . PUNCT bracis-19031 264 1 the the DET bracis-19031 264 2 results result NOUN bracis-19031 264 3 indicate indicate VERB bracis-19031 264 4 that that SCONJ bracis-19031 264 5 our our PRON bracis-19031 264 6 black black ADJ bracis-19031 264 7 - - PUNCT bracis-19031 264 8 box box NOUN bracis-19031 264 9 version version NOUN bracis-19031 264 10 is be AUX bracis-19031 264 11 highly highly ADV bracis-19031 264 12 competitive competitive ADJ bracis-19031 264 13 with with ADP bracis-19031 264 14 some some PRON bracis-19031 264 15 of of ADP bracis-19031 264 16 the the DET bracis-19031 264 17 most most ADV bracis-19031 264 18 popular popular ADJ bracis-19031 264 19 state state NOUN bracis-19031 264 20 - - PUNCT bracis-19031 264 21 of of ADP bracis-19031 264 22 - - PUNCT bracis-19031 264 23 the the DET bracis-19031 264 24 - - PUNCT bracis-19031 264 25 art art NOUN bracis-19031 264 26 solvers solver NOUN bracis-19031 264 27 . . PUNCT bracis-19031 265 1 to to PART bracis-19031 265 2 investigate investigate VERB bracis-19031 265 3 the the DET bracis-19031 265 4 performance performance NOUN bracis-19031 265 5 of of ADP bracis-19031 265 6 i2de i2de PROPN bracis-19031 265 7 , , PUNCT bracis-19031 265 8 experiments experiment NOUN bracis-19031 265 9 were be AUX bracis-19031 265 10 conducted conduct VERB bracis-19031 265 11 on on ADP bracis-19031 265 12 155 155 NUM bracis-19031 265 13 optimization optimization NOUN bracis-19031 265 14 problems problem NOUN bracis-19031 265 15 from from ADP bracis-19031 265 16 the the DET bracis-19031 265 17 coconut coconut NOUN bracis-19031 265 18 benchmark benchmark NOUN bracis-19031 265 19     SPACE bracis-19031 266 1 [ [ X bracis-19031 266 2 19 19 NUM bracis-19031 266 3 ] ] PUNCT bracis-19031 266 4 with with ADP bracis-19031 266 5 different different ADJ bracis-19031 266 6 number number NOUN bracis-19031 266 7 of of ADP bracis-19031 266 8 equality equality NOUN bracis-19031 266 9 and and CCONJ bracis-19031 266 10 inequality inequality NOUN bracis-19031 266 11 constraints constraint NOUN bracis-19031 266 12 and and CCONJ bracis-19031 266 13 up up ADV bracis-19031 266 14     SPACE bracis-19031 266 15 to to ADP bracis-19031 266 16 75 75 NUM bracis-19031 266 17 dimensions dimension NOUN bracis-19031 266 18 . . PUNCT bracis-19031 267 1 note note VERB bracis-19031 267 2 that that SCONJ bracis-19031 267 3 it it PRON bracis-19031 267 4 was be AUX bracis-19031 267 5 only only ADV bracis-19031 267 6 possible possible ADJ bracis-19031 267 7 to to PART bracis-19031 267 8 tackle tackle VERB bracis-19031 267 9 a a DET bracis-19031 267 10 larger large ADJ bracis-19031 267 11 number number NOUN bracis-19031 267 12 of of ADP bracis-19031 267 13 functions function NOUN bracis-19031 267 14 than than ADP bracis-19031 267 15 in in ADP bracis-19031 267 16     SPACE bracis-19031 267 17 [ [ X bracis-19031 267 18 5 5 NUM bracis-19031 267 19 ] ] PUNCT bracis-19031 267 20 because because SCONJ bracis-19031 267 21 our our PRON bracis-19031 267 22 approach approach NOUN bracis-19031 267 23 extends extend VERB bracis-19031 267 24 the the DET bracis-19031 267 25 implementation implementation NOUN bracis-19031 267 26 of of ADP bracis-19031 267 27 ogre ogre NOUN bracis-19031 267 28 ’s ’s PART bracis-19031 267 29 multi multi ADJ bracis-19031 267 30 - - ADJ bracis-19031 267 31 interval interval ADJ bracis-19031 267 32 core core NOUN bracis-19031 267 33 to to ADP bracis-19031 267 34 other other ADJ bracis-19031 267 35 math math NOUN bracis-19031 267 36 operations operation NOUN bracis-19031 267 37 , , PUNCT bracis-19031 267 38 as as SCONJ bracis-19031 267 39 commented comment VERB bracis-19031 267 40 in in ADP bracis-19031 267 41 sect sect NOUN bracis-19031 267 42 . . PUNCT bracis-19031 267 43     SPACE bracis-19031 268 1 3 3 X bracis-19031 268 2 . . PUNCT bracis-19031 269 1 the the DET bracis-19031 269 2 first first ADJ bracis-19031 269 3 aspect aspect NOUN bracis-19031 269 4 to to PART bracis-19031 269 5 be be AUX bracis-19031 269 6 analyzed analyze VERB bracis-19031 269 7 is be AUX bracis-19031 269 8 the the DET bracis-19031 269 9 impact impact NOUN bracis-19031 269 10 of of ADP bracis-19031 269 11 using use VERB bracis-19031 269 12 structural structural ADJ bracis-19031 269 13 decomposition decomposition NOUN bracis-19031 269 14 . . PUNCT bracis-19031 270 1 transforming transform VERB bracis-19031 270 2 the the DET bracis-19031 270 3 original original ADJ bracis-19031 270 4 instance instance NOUN bracis-19031 270 5 modeling modeling NOUN bracis-19031 270 6 into into ADP bracis-19031 270 7 a a DET bracis-19031 270 8 ternary ternary ADJ bracis-19031 270 9 cn cn PROPN bracis-19031 270 10 usually usually ADV bracis-19031 270 11 involves involve VERB bracis-19031 270 12 adding add VERB bracis-19031 270 13 an an DET bracis-19031 270 14 auxiliary auxiliary ADJ bracis-19031 270 15 variable variable NOUN bracis-19031 270 16 for for ADP bracis-19031 270 17 each each DET bracis-19031 270 18 occurrence occurrence NOUN bracis-19031 270 19 of of ADP bracis-19031 270 20 math math NOUN bracis-19031 270 21 operators operator NOUN bracis-19031 270 22 . . PUNCT bracis-19031 271 1 from from ADP bracis-19031 271 2 this this PRON bracis-19031 271 3 , , PUNCT bracis-19031 271 4 the the DET bracis-19031 271 5 variables variable NOUN bracis-19031 271 6 of of ADP bracis-19031 271 7 constraints constraint NOUN bracis-19031 271 8 in in ADP bracis-19031 271 9 the the DET bracis-19031 271 10 \(\varomega \(\varomega NOUN bracis-19031 271 11 \ \ NOUN bracis-19031 271 12 ) ) PUNCT bracis-19031 271 13 set set NOUN bracis-19031 271 14 , , PUNCT bracis-19031 271 15 \(v_\varomega \(v_\varomega NOUN bracis-19031 271 16 \ \ PROPN bracis-19031 271 17 ) ) PUNCT bracis-19031 271 18 , , PUNCT bracis-19031 271 19 whose whose DET bracis-19031 271 20 valuation valuation NOUN bracis-19031 271 21 is be AUX bracis-19031 271 22 critical critical ADJ bracis-19031 271 23 for for ADP bracis-19031 271 24 the the DET bracis-19031 271 25 search search NOUN bracis-19031 271 26 process process NOUN bracis-19031 271 27 , , PUNCT bracis-19031 271 28 are be AUX bracis-19031 271 29 extracted extract VERB bracis-19031 271 30 . . PUNCT bracis-19031 272 1 as as SCONJ bracis-19031 272 2 noted note VERB bracis-19031 272 3 in in ADP bracis-19031 272 4 sect sect NOUN bracis-19031 272 5 . . PUNCT bracis-19031 272 6     SPACE bracis-19031 272 7 3.2 3.2 NUM bracis-19031 272 8 , , PUNCT bracis-19031 272 9 i2de i2de PROPN bracis-19031 272 10 and and CCONJ bracis-19031 272 11 inde inde PROPN bracis-19031 272 12 only only ADV bracis-19031 272 13 apply apply VERB bracis-19031 272 14 its its PRON bracis-19031 272 15 operators operator NOUN bracis-19031 272 16 on on ADP bracis-19031 272 17 these these DET bracis-19031 272 18 variables variable NOUN bracis-19031 272 19 , , PUNCT bracis-19031 272 20 while while SCONJ bracis-19031 272 21 the the DET bracis-19031 272 22 other other ADJ bracis-19031 272 23 valuations valuation NOUN bracis-19031 272 24 are be AUX bracis-19031 272 25 assigned assign VERB bracis-19031 272 26 through through ADP bracis-19031 272 27 ogre ogre NOUN bracis-19031 272 28 ’s ’s PART bracis-19031 272 29 backtrack backtrack NOUN bracis-19031 272 30 - - PUNCT bracis-19031 272 31 free free ADJ bracis-19031 272 32 local local ADJ bracis-19031 272 33 search search NOUN bracis-19031 272 34 . . PUNCT bracis-19031 273 1 figure figure NOUN bracis-19031 273 2     SPACE bracis-19031 273 3 1 1 NUM bracis-19031 273 4 illustrates illustrate VERB bracis-19031 273 5 the the DET bracis-19031 273 6 number number NOUN bracis-19031 273 7 of of ADP bracis-19031 273 8 variables variable NOUN bracis-19031 273 9 ( ( PUNCT bracis-19031 273 10 and and CCONJ bracis-19031 273 11 operators operator NOUN bracis-19031 273 12 ) ) PUNCT bracis-19031 273 13 from from ADP bracis-19031 273 14 the the DET bracis-19031 273 15 original original ADJ bracis-19031 273 16 modeling modeling NOUN bracis-19031 273 17 , , PUNCT bracis-19031 273 18 the the DET bracis-19031 273 19 ternary ternary ADJ bracis-19031 273 20 representation representation NOUN bracis-19031 273 21 and and CCONJ bracis-19031 273 22 the the DET bracis-19031 273 23 \(v_\varomega \(v_\varomega NOUN bracis-19031 273 24 \ \ ADJ bracis-19031 273 25 ) ) PUNCT bracis-19031 273 26 size size NOUN bracis-19031 273 27 in in ADP bracis-19031 273 28 the the DET bracis-19031 273 29 155 155 NUM bracis-19031 273 30 instances instance NOUN bracis-19031 273 31 . . PUNCT bracis-19031 274 1 although although SCONJ bracis-19031 274 2 \(v_\varomega \(v_\varomega PROPN bracis-19031 274 3 \ \ ADJ bracis-19031 274 4 ) ) PUNCT bracis-19031 274 5 presents present VERB bracis-19031 274 6 a a DET bracis-19031 274 7 considerable considerable ADJ bracis-19031 274 8 reduction reduction NOUN bracis-19031 274 9 in in ADP bracis-19031 274 10 number number NOUN bracis-19031 274 11 of of ADP bracis-19031 274 12 variables variable NOUN bracis-19031 274 13 compared compare VERB bracis-19031 274 14 to to ADP bracis-19031 274 15 the the DET bracis-19031 274 16 ternary ternary ADJ bracis-19031 274 17 representation representation NOUN bracis-19031 274 18 , , PUNCT bracis-19031 274 19 it it PRON bracis-19031 274 20 is be AUX bracis-19031 274 21 evident evident ADJ bracis-19031 274 22 that that SCONJ bracis-19031 274 23 the the DET bracis-19031 274 24 search search NOUN bracis-19031 274 25 space space NOUN bracis-19031 274 26 is be AUX bracis-19031 274 27 still still ADV bracis-19031 274 28 larger large ADJ bracis-19031 274 29 than than ADP bracis-19031 274 30 in in ADP bracis-19031 274 31 the the DET bracis-19031 274 32 original original ADJ bracis-19031 274 33 instance instance NOUN bracis-19031 274 34 modeling modeling NOUN bracis-19031 274 35 . . PUNCT bracis-19031 275 1 fig fig NOUN bracis-19031 275 2 . . PUNCT bracis-19031 276 1 1 1 NUM bracis-19031 276 2 . . X bracis-19031 276 3 number number NOUN bracis-19031 276 4 of of ADP bracis-19031 276 5 variables variable NOUN bracis-19031 276 6 in in ADP bracis-19031 276 7 original original ADJ bracis-19031 276 8 v v NOUN bracis-19031 276 9 , , PUNCT bracis-19031 276 10 ternary ternary ADJ bracis-19031 276 11 v v NOUN bracis-19031 276 12 , , PUNCT bracis-19031 276 13 \(v_\varomega \(v_\varomega NOUN bracis-19031 276 14 \ \ NOUN bracis-19031 276 15 ) ) PUNCT bracis-19031 276 16 and and CCONJ bracis-19031 276 17 operators operator NOUN bracis-19031 276 18 per per ADP bracis-19031 276 19 instance instance NOUN bracis-19031 276 20 . . PUNCT bracis-19031 277 1 full full ADJ bracis-19031 277 2 size size NOUN bracis-19031 277 3 image image NOUN bracis-19031 277 4 the the DET bracis-19031 277 5 solvers solver NOUN bracis-19031 277 6 ran run VERB bracis-19031 277 7 on on ADP bracis-19031 277 8 a a DET bracis-19031 277 9 computer computer NOUN bracis-19031 277 10 with with ADP bracis-19031 277 11 intel intel PROPN bracis-19031 277 12 xeon xeon PROPN bracis-19031 277 13 e5 e5 PROPN bracis-19031 277 14 - - PUNCT bracis-19031 277 15 4627v2 4627v2 NUM bracis-19031 277 16 3.30 3.30 NUM bracis-19031 277 17     SPACE bracis-19031 277 18 ghz ghz NOUN bracis-19031 277 19 processor processor NOUN bracis-19031 277 20 , , PUNCT bracis-19031 277 21 256 256 NUM bracis-19031 277 22     SPACE bracis-19031 277 23 gb gb NOUN bracis-19031 277 24 of of ADP bracis-19031 277 25 ram ram NOUN bracis-19031 277 26 and and CCONJ bracis-19031 277 27 centos centos PROPN bracis-19031 277 28 linux linux PROPN bracis-19031 277 29 7 7 NUM bracis-19031 277 30 . . PUNCT bracis-19031 278 1 the the DET bracis-19031 278 2 average average ADJ bracis-19031 278 3 time time NOUN bracis-19031 278 4 of of ADP bracis-19031 278 5 the the DET bracis-19031 278 6 25 25 NUM bracis-19031 278 7 executions execution NOUN bracis-19031 278 8 of of ADP bracis-19031 278 9 the the DET bracis-19031 278 10 155 155 NUM bracis-19031 278 11 instances instance NOUN bracis-19031 278 12 was be AUX bracis-19031 278 13 \(7372.04\,s\ \(7372.04\,s\ PROPN bracis-19031 278 14 ) ) PUNCT bracis-19031 278 15 for for ADP bracis-19031 278 16 i2de i2de PROPN bracis-19031 278 17 , , PUNCT bracis-19031 278 18 \(5031.19\,s\ \(5031.19\,s\ PROPN bracis-19031 278 19 ) ) PUNCT bracis-19031 278 20 for for ADP bracis-19031 278 21 inde inde PROPN bracis-19031 278 22 , , PUNCT bracis-19031 278 23 \(4.63\,s\ \(4.63\,s\ NUM bracis-19031 278 24 ) ) PUNCT bracis-19031 278 25 for for ADP bracis-19031 278 26 bbde bbde NOUN bracis-19031 278 27 and and CCONJ bracis-19031 278 28 \(5619.52\,s\ \(5619.52\,s\ PROPN bracis-19031 278 29 ) ) PUNCT bracis-19031 278 30 for for ADP bracis-19031 278 31 ogre ogre NOUN bracis-19031 278 32 . . PUNCT bracis-19031 279 1 the the DET bracis-19031 279 2 processing processing NOUN bracis-19031 279 3 times time NOUN bracis-19031 279 4 of of ADP bracis-19031 279 5 i2de i2de PROPN bracis-19031 279 6 , , PUNCT bracis-19031 279 7 inde inde PROPN bracis-19031 279 8 and and CCONJ bracis-19031 279 9 ogre ogre NOUN bracis-19031 279 10 are be AUX bracis-19031 279 11 significantly significantly ADV bracis-19031 279 12 higher high ADJ bracis-19031 279 13 due due ADP bracis-19031 279 14 to to ADP bracis-19031 279 15 the the DET bracis-19031 279 16 local local ADJ bracis-19031 279 17 consistency consistency NOUN bracis-19031 279 18 process process NOUN bracis-19031 279 19 . . PUNCT bracis-19031 280 1 moreover moreover ADV bracis-19031 280 2 , , PUNCT bracis-19031 280 3 the the DET bracis-19031 280 4 execution execution NOUN bracis-19031 280 5 time time NOUN bracis-19031 280 6 of of ADP bracis-19031 280 7 inde inde NOUN bracis-19031 280 8 is be AUX bracis-19031 280 9 smaller small ADJ bracis-19031 280 10 compared compare VERB bracis-19031 280 11 to to ADP bracis-19031 280 12 i2de i2de PROPN bracis-19031 280 13 because because SCONJ bracis-19031 280 14 many many ADJ bracis-19031 280 15 candidate candidate NOUN bracis-19031 280 16 solutions solution NOUN bracis-19031 280 17 resulting result VERB bracis-19031 280 18 from from ADP bracis-19031 280 19 inde inde ADJ bracis-19031 280 20 interval interval NOUN bracis-19031 280 21 operations operation NOUN bracis-19031 280 22 considered consider VERB bracis-19031 280 23 inconsistent inconsistent ADJ bracis-19031 280 24 are be AUX bracis-19031 280 25 immediately immediately ADV bracis-19031 280 26 discarded discard VERB bracis-19031 280 27 , , PUNCT bracis-19031 280 28 without without ADP bracis-19031 280 29 going go VERB bracis-19031 280 30 through through ADP bracis-19031 280 31 the the DET bracis-19031 280 32 local local ADJ bracis-19031 280 33 consistency consistency NOUN bracis-19031 280 34 process process NOUN bracis-19031 280 35 . . PUNCT bracis-19031 281 1 i2de i2de PROPN bracis-19031 281 2 found find VERB bracis-19031 281 3 feasible feasible ADJ bracis-19031 281 4 solutions solution NOUN bracis-19031 281 5 on on ADP bracis-19031 281 6 119 119 NUM bracis-19031 281 7 instances instance NOUN bracis-19031 281 8 , , PUNCT bracis-19031 281 9 against against ADP bracis-19031 281 10 107 107 NUM bracis-19031 281 11 in in ADP bracis-19031 281 12 inde inde PROPN bracis-19031 281 13 , , PUNCT bracis-19031 281 14 115 115 NUM bracis-19031 281 15 in in ADP bracis-19031 281 16 bbde bbde NOUN bracis-19031 281 17 and and CCONJ bracis-19031 281 18 64 64 NUM bracis-19031 281 19 in in ADP bracis-19031 281 20 ogre ogre NOUN bracis-19031 281 21 . . PUNCT bracis-19031 282 1 feasible feasible ADJ bracis-19031 282 2 solutions solution NOUN bracis-19031 282 3 with with ADP bracis-19031 282 4 value value NOUN bracis-19031 282 5 at at ADP bracis-19031 282 6 most most ADV bracis-19031 282 7 \(10^{-8}\ \(10^{-8}\ ADJ bracis-19031 282 8 ) ) PUNCT bracis-19031 282 9 greater great ADJ bracis-19031 282 10 than than ADP bracis-19031 282 11 the the DET bracis-19031 282 12 optimal optimal ADJ bracis-19031 282 13 value value NOUN bracis-19031 282 14 are be AUX bracis-19031 282 15 considered consider VERB bracis-19031 282 16 as as ADP bracis-19031 282 17 optimal optimal ADJ bracis-19031 282 18 solutions solution NOUN bracis-19031 282 19 . . PUNCT bracis-19031 283 1 so so ADV bracis-19031 283 2 , , PUNCT bracis-19031 283 3 i2de i2de PROPN bracis-19031 283 4 found find VERB bracis-19031 283 5 40 40 NUM bracis-19031 283 6 optimal optimal ADJ bracis-19031 283 7 solutions solution NOUN bracis-19031 283 8 , , PUNCT bracis-19031 283 9 while while SCONJ bracis-19031 283 10 inde inde PROPN bracis-19031 283 11 , , PUNCT bracis-19031 283 12 bbde bbde PROPN bracis-19031 283 13 and and CCONJ bracis-19031 283 14 ogre ogre NOUN bracis-19031 283 15 found find VERB bracis-19031 283 16 35 35 NUM bracis-19031 283 17 , , PUNCT bracis-19031 283 18 35 35 NUM bracis-19031 283 19 and and CCONJ bracis-19031 283 20 5 5 NUM bracis-19031 283 21 , , PUNCT bracis-19031 283 22 respectively respectively ADV bracis-19031 283 23 . . PUNCT bracis-19031 284 1 in in ADP bracis-19031 284 2 order order NOUN bracis-19031 284 3 to to PART bracis-19031 284 4 perform perform VERB bracis-19031 284 5 a a DET bracis-19031 284 6 comparative comparative ADJ bracis-19031 284 7 analysis analysis NOUN bracis-19031 284 8 among among ADP bracis-19031 284 9 i2de i2de PROPN bracis-19031 284 10 , , PUNCT bracis-19031 284 11 inde inde PROPN bracis-19031 284 12 , , PUNCT bracis-19031 284 13 bbde bbde PROPN bracis-19031 284 14 and and CCONJ bracis-19031 284 15 ogre ogre NOUN bracis-19031 284 16 we we PRON bracis-19031 284 17 used use VERB bracis-19031 284 18 two two NUM bracis-19031 284 19 methodologies methodology NOUN bracis-19031 284 20 . . PUNCT bracis-19031 285 1 the the DET bracis-19031 285 2 first first ADJ bracis-19031 285 3 was be AUX bracis-19031 285 4 the the DET bracis-19031 285 5 one one NUM bracis-19031 285 6 applied apply VERB bracis-19031 285 7 in in ADP bracis-19031 285 8 cec2018 cec2018 NOUN bracis-19031 285 9     SPACE bracis-19031 286 1 [ [ X bracis-19031 286 2 27 27 NUM bracis-19031 286 3 ] ] PUNCT bracis-19031 286 4 , , PUNCT bracis-19031 286 5 the the DET bracis-19031 286 6 same same ADJ bracis-19031 286 7 used use VERB bracis-19031 286 8 in in ADP bracis-19031 286 9 table table NOUN bracis-19031 286 10     SPACE bracis-19031 286 11 1 1 NUM bracis-19031 286 12 . . PUNCT bracis-19031 287 1 the the DET bracis-19031 287 2 second second ADJ bracis-19031 287 3 was be AUX bracis-19031 287 4 proposed propose VERB bracis-19031 287 5 in in ADP bracis-19031 287 6 cec2020 cec2020 PROPN bracis-19031 287 7 competition competition NOUN bracis-19031 287 8 on on ADP bracis-19031 287 9 non non ADJ bracis-19031 287 10 - - ADJ bracis-19031 287 11 convex convex ADJ bracis-19031 287 12 constrained constrain VERB bracis-19031 287 13 optimization optimization NOUN bracis-19031 287 14 problems problem NOUN bracis-19031 287 15 from from ADP bracis-19031 287 16 the the DET bracis-19031 287 17 real real ADJ bracis-19031 287 18 - - PUNCT bracis-19031 287 19 world world NOUN bracis-19031 287 20     SPACE bracis-19031 288 1 [ [ X bracis-19031 288 2 14 14 NUM bracis-19031 288 3 ] ] PUNCT bracis-19031 288 4 and and CCONJ bracis-19031 288 5 involves involve VERB bracis-19031 288 6 the the DET bracis-19031 288 7 objective objective ADJ bracis-19031 288 8 function function NOUN bracis-19031 288 9 and and CCONJ bracis-19031 288 10 constraints constraint NOUN bracis-19031 288 11 violation violation NOUN bracis-19031 288 12 of of ADP bracis-19031 288 13 the the DET bracis-19031 288 14 best good ADJ bracis-19031 288 15 , , PUNCT bracis-19031 288 16 the the DET bracis-19031 288 17 mean mean NOUN bracis-19031 288 18 , , PUNCT bracis-19031 288 19 and and CCONJ bracis-19031 288 20 the the DET bracis-19031 288 21 median median ADJ bracis-19031 288 22 solutions solution NOUN bracis-19031 288 23 . . PUNCT bracis-19031 289 1 the the DET bracis-19031 289 2 values value NOUN bracis-19031 289 3 are be AUX bracis-19031 289 4 normalized normalize VERB bracis-19031 289 5 and and CCONJ bracis-19031 289 6 adjusted adjust VERB bracis-19031 289 7 to to PART bracis-19031 289 8 calculate calculate VERB bracis-19031 289 9 the the DET bracis-19031 289 10 performance performance NOUN bracis-19031 289 11 measure measure NOUN bracis-19031 289 12 . . PUNCT bracis-19031 290 1 the the DET bracis-19031 290 2 total total ADJ bracis-19031 290 3 score score NOUN bracis-19031 290 4 is be AUX bracis-19031 290 5 a a DET bracis-19031 290 6 weighted weighted ADJ bracis-19031 290 7 composition composition NOUN bracis-19031 290 8 of of ADP bracis-19031 290 9 best good ADJ bracis-19031 290 10 , , PUNCT bracis-19031 290 11 mean mean VERB bracis-19031 290 12 and and CCONJ bracis-19031 290 13 median median ADJ bracis-19031 290 14 with with ADP bracis-19031 290 15 weights weight NOUN bracis-19031 290 16 50 50 NUM bracis-19031 290 17 % % NOUN bracis-19031 290 18 , , PUNCT bracis-19031 290 19 30 30 NUM bracis-19031 290 20 % % NOUN bracis-19031 290 21 and and CCONJ bracis-19031 290 22 20 20 NUM bracis-19031 290 23 % % NOUN bracis-19031 290 24 , , PUNCT bracis-19031 290 25 respectively respectively ADV bracis-19031 290 26 . . PUNCT bracis-19031 291 1 to to PART bracis-19031 291 2 estimate estimate VERB bracis-19031 291 3 the the DET bracis-19031 291 4 feasibility feasibility NOUN bracis-19031 291 5 of of ADP bracis-19031 291 6 the the DET bracis-19031 291 7 four four NUM bracis-19031 291 8 solvers solver NOUN bracis-19031 291 9 , , PUNCT bracis-19031 291 10 we we PRON bracis-19031 291 11 compared compare VERB bracis-19031 291 12 the the DET bracis-19031 291 13 average average ADJ bracis-19031 291 14 constraint constraint NOUN bracis-19031 291 15 violation violation NOUN bracis-19031 291 16 values value NOUN bracis-19031 291 17 of of ADP bracis-19031 291 18 the the DET bracis-19031 291 19 25 25 NUM bracis-19031 291 20 runs run NOUN bracis-19031 291 21 for for ADP bracis-19031 291 22 the the DET bracis-19031 291 23 155 155 NUM bracis-19031 291 24 benchmark benchmark NOUN bracis-19031 291 25 instances instance NOUN bracis-19031 291 26 . . PUNCT bracis-19031 292 1 as as SCONJ bracis-19031 292 2 the the DET bracis-19031 292 3 pre pre NOUN bracis-19031 292 4 - - NOUN bracis-19031 292 5 analysis analysis NOUN bracis-19031 292 6 rejected reject VERB bracis-19031 292 7 the the DET bracis-19031 292 8 null null ADJ bracis-19031 292 9 hypothesis hypothesis NOUN bracis-19031 292 10 that that SCONJ bracis-19031 292 11 the the DET bracis-19031 292 12 distribution distribution NOUN bracis-19031 292 13 of of ADP bracis-19031 292 14 violation violation NOUN bracis-19031 292 15 values value NOUN bracis-19031 292 16 of of ADP bracis-19031 292 17 each each DET bracis-19031 292 18 instance instance NOUN bracis-19031 292 19 is be AUX bracis-19031 292 20 normal normal ADJ bracis-19031 292 21 , , PUNCT bracis-19031 292 22 we we PRON bracis-19031 292 23 chose choose VERB bracis-19031 292 24 a a DET bracis-19031 292 25 non non ADJ bracis-19031 292 26 - - ADJ bracis-19031 292 27 parametric parametric ADJ bracis-19031 292 28 test test NOUN bracis-19031 292 29 . . PUNCT bracis-19031 293 1 the the DET bracis-19031 293 2 friedman friedman PROPN bracis-19031 293 3 test test NOUN bracis-19031 293 4 with with ADP bracis-19031 293 5 post post ADJ bracis-19031 293 6 - - ADJ bracis-19031 293 7 hoc hoc X bracis-19031 293 8 nemenyi nemenyi NOUN bracis-19031 293 9 test test NOUN bracis-19031 293 10 with with ADP bracis-19031 293 11 significance significance NOUN bracis-19031 293 12 level level NOUN bracis-19031 293 13 of of ADP bracis-19031 293 14 0.05 0.05 NUM bracis-19031 293 15 was be AUX bracis-19031 293 16 applied apply VERB bracis-19031 293 17 to to ADP bracis-19031 293 18 the the DET bracis-19031 293 19 violation violation NOUN bracis-19031 293 20 results result NOUN bracis-19031 293 21 of of ADP bracis-19031 293 22 each each DET bracis-19031 293 23 instance instance NOUN bracis-19031 293 24 , , PUNCT bracis-19031 293 25 comparing compare VERB bracis-19031 293 26 four four NUM bracis-19031 293 27 sets set NOUN bracis-19031 293 28 of of ADP bracis-19031 293 29 25 25 NUM bracis-19031 293 30 values value NOUN bracis-19031 293 31 each each DET bracis-19031 293 32 time time NOUN bracis-19031 293 33 . . PUNCT bracis-19031 294 1 the the DET bracis-19031 294 2 null null ADJ bracis-19031 294 3 hypothesis hypothesis NOUN bracis-19031 294 4 that that PRON bracis-19031 294 5 the the DET bracis-19031 294 6 four four NUM bracis-19031 294 7 solvers solver NOUN bracis-19031 294 8 perform perform VERB bracis-19031 294 9 equally equally ADV bracis-19031 294 10 was be AUX bracis-19031 294 11 rejected reject VERB bracis-19031 294 12 in in ADP bracis-19031 294 13 all all DET bracis-19031 294 14 instances instance NOUN bracis-19031 294 15 with with ADP bracis-19031 294 16 p p NOUN bracis-19031 294 17 - - PUNCT bracis-19031 294 18 value value NOUN bracis-19031 294 19 close close NOUN bracis-19031 294 20 to to ADP bracis-19031 294 21 \(10^{-6}\ \(10^{-6}\ NOUN bracis-19031 294 22 ) ) PUNCT bracis-19031 294 23 . . PUNCT bracis-19031 295 1 based base VERB bracis-19031 295 2 on on ADP bracis-19031 295 3 the the DET bracis-19031 295 4 nemenyi nemenyi PROPN bracis-19031 295 5 test test NOUN bracis-19031 295 6 rank rank NOUN bracis-19031 295 7 on on ADP bracis-19031 295 8 each each DET bracis-19031 295 9 instance instance NOUN bracis-19031 295 10 , , PUNCT bracis-19031 295 11 we we PRON bracis-19031 295 12 counted count VERB bracis-19031 295 13 the the DET bracis-19031 295 14 number number NOUN bracis-19031 295 15 of of ADP bracis-19031 295 16 instances instance NOUN bracis-19031 295 17 where where SCONJ bracis-19031 295 18 each each DET bracis-19031 295 19 solver solver NOUN bracis-19031 295 20 was be AUX bracis-19031 295 21 better well ADJ bracis-19031 295 22 , , PUNCT bracis-19031 295 23 equal equal ADJ bracis-19031 295 24 or or CCONJ bracis-19031 295 25 worse bad ADJ bracis-19031 295 26 than than ADP bracis-19031 295 27 the the DET bracis-19031 295 28 others other NOUN bracis-19031 295 29 . . PUNCT bracis-19031 296 1 if if SCONJ bracis-19031 296 2 the the DET bracis-19031 296 3 rank rank NOUN bracis-19031 296 4 distance distance NOUN bracis-19031 296 5 of of ADP bracis-19031 296 6 two two NUM bracis-19031 296 7 solvers solver NOUN bracis-19031 296 8 was be AUX bracis-19031 296 9 less less ADJ bracis-19031 296 10 than than ADP bracis-19031 296 11 the the DET bracis-19031 296 12 critical critical ADJ bracis-19031 296 13 distance distance NOUN bracis-19031 296 14 of of ADP bracis-19031 296 15 the the DET bracis-19031 296 16 test test NOUN bracis-19031 296 17 , , PUNCT bracis-19031 296 18 we we PRON bracis-19031 296 19 considered consider VERB bracis-19031 296 20 the the DET bracis-19031 296 21 solvers solver NOUN bracis-19031 296 22 perform perform VERB bracis-19031 296 23 equally equally ADV bracis-19031 296 24 in in ADP bracis-19031 296 25 the the DET bracis-19031 296 26 instance instance NOUN bracis-19031 296 27 . . PUNCT bracis-19031 297 1 table table NOUN bracis-19031 297 2     SPACE bracis-19031 297 3 2 2 NUM bracis-19031 297 4 shows show NOUN bracis-19031 297 5 in in ADP bracis-19031 297 6 its its PRON bracis-19031 297 7 violation violation NOUN bracis-19031 297 8 rows row VERB bracis-19031 297 9 the the DET bracis-19031 297 10 number number NOUN bracis-19031 297 11 of of ADP bracis-19031 297 12 instances instance NOUN bracis-19031 297 13 where where SCONJ bracis-19031 297 14 i2de i2de PROPN bracis-19031 297 15 was be AUX bracis-19031 297 16 better well ADJ bracis-19031 297 17 , , PUNCT bracis-19031 297 18 equal equal ADJ bracis-19031 297 19 or or CCONJ bracis-19031 297 20 worse bad ADJ bracis-19031 297 21 than than ADP bracis-19031 297 22 the the DET bracis-19031 297 23 other other ADJ bracis-19031 297 24 three three NUM bracis-19031 297 25 solvers solver NOUN bracis-19031 297 26 . . PUNCT bracis-19031 298 1 in in ADP bracis-19031 298 2 all all DET bracis-19031 298 3 three three NUM bracis-19031 298 4 cases case NOUN bracis-19031 298 5 , , PUNCT bracis-19031 298 6 i2de i2de PRON bracis-19031 298 7 obtained obtain VERB bracis-19031 298 8 more more ADJ bracis-19031 298 9 solutions solution NOUN bracis-19031 298 10 with with ADP bracis-19031 298 11 violation violation NOUN bracis-19031 298 12 values value NOUN bracis-19031 298 13 smaller small ADJ bracis-19031 298 14 than than ADP bracis-19031 298 15 the the DET bracis-19031 298 16 other other ADJ bracis-19031 298 17 solvers solver NOUN bracis-19031 298 18 . . PUNCT bracis-19031 299 1 a a DET bracis-19031 299 2 second second ADJ bracis-19031 299 3 statistical statistical ADJ bracis-19031 299 4 test test NOUN bracis-19031 299 5 was be AUX bracis-19031 299 6 conducted conduct VERB bracis-19031 299 7 over over ADP bracis-19031 299 8 the the DET bracis-19031 299 9 normalized normalize VERB bracis-19031 299 10 and and CCONJ bracis-19031 299 11 adjusted adjust VERB bracis-19031 299 12 objective objective ADJ bracis-19031 299 13 function function NOUN bracis-19031 299 14 value value NOUN bracis-19031 299 15 of of ADP bracis-19031 299 16 best good ADJ bracis-19031 299 17 , , PUNCT bracis-19031 299 18 mean mean ADJ bracis-19031 299 19 and and CCONJ bracis-19031 299 20 median median ADJ bracis-19031 299 21 solution solution NOUN bracis-19031 299 22 of of ADP bracis-19031 299 23 the the DET bracis-19031 299 24 cec2020 cec2020 PROPN bracis-19031 299 25 methodology methodology PROPN bracis-19031 299 26 . . PUNCT bracis-19031 300 1 the the DET bracis-19031 300 2 value value NOUN bracis-19031 300 3 of of ADP bracis-19031 300 4 each each DET bracis-19031 300 5 solver solver NOUN bracis-19031 300 6 in in ADP bracis-19031 300 7 an an DET bracis-19031 300 8 instance instance NOUN bracis-19031 300 9 is be AUX bracis-19031 300 10 a a DET bracis-19031 300 11 composition composition NOUN bracis-19031 300 12 of of ADP bracis-19031 300 13 objective objective ADJ bracis-19031 300 14 function function NOUN bracis-19031 300 15 value value NOUN bracis-19031 300 16 and and CCONJ bracis-19031 300 17 the the DET bracis-19031 300 18 average average ADJ bracis-19031 300 19 constraint constraint NOUN bracis-19031 300 20 violations violation NOUN bracis-19031 300 21 of of ADP bracis-19031 300 22 the the DET bracis-19031 300 23 obtained obtain VERB bracis-19031 300 24 solutions solution NOUN bracis-19031 300 25 . . PUNCT bracis-19031 301 1 as as SCONJ bracis-19031 301 2 the the DET bracis-19031 301 3 pre pre NOUN bracis-19031 301 4 - - NOUN bracis-19031 301 5 analysis analysis NOUN bracis-19031 301 6 rejected reject VERB bracis-19031 301 7 the the DET bracis-19031 301 8 null null ADJ bracis-19031 301 9 hypothesis hypothesis NOUN bracis-19031 301 10 that that SCONJ bracis-19031 301 11 the the DET bracis-19031 301 12 distribution distribution NOUN bracis-19031 301 13 of of ADP bracis-19031 301 14 each each DET bracis-19031 301 15 set set NOUN bracis-19031 301 16 of of ADP bracis-19031 301 17 values value NOUN bracis-19031 301 18 is be AUX bracis-19031 301 19 normal normal ADJ bracis-19031 301 20 , , PUNCT bracis-19031 301 21 we we PRON bracis-19031 301 22 chose choose VERB bracis-19031 301 23 a a DET bracis-19031 301 24 non non ADJ bracis-19031 301 25 - - ADJ bracis-19031 301 26 parametric parametric ADJ bracis-19031 301 27 test test NOUN bracis-19031 301 28 . . PUNCT bracis-19031 302 1 we we PRON bracis-19031 302 2 applied apply VERB bracis-19031 302 3 the the DET bracis-19031 302 4 wilcoxon wilcoxon NOUN bracis-19031 302 5 signed sign VERB bracis-19031 302 6 rank rank NOUN bracis-19031 302 7 test test NOUN bracis-19031 302 8 with with ADP bracis-19031 302 9 significance significance NOUN bracis-19031 302 10 level level NOUN bracis-19031 302 11 of of ADP bracis-19031 302 12 0.05 0.05 NUM bracis-19031 302 13 to to PART bracis-19031 302 14 compare compare VERB bracis-19031 302 15 the the DET bracis-19031 302 16 solvers solver NOUN bracis-19031 302 17 on on ADP bracis-19031 302 18 each each DET bracis-19031 302 19 set set NOUN bracis-19031 302 20 of of ADP bracis-19031 302 21 values value NOUN bracis-19031 302 22 : : PUNCT bracis-19031 302 23 best good ADJ bracis-19031 302 24 , , PUNCT bracis-19031 302 25 mean mean ADJ bracis-19031 302 26 and and CCONJ bracis-19031 302 27 median median ADJ bracis-19031 302 28 . . PUNCT bracis-19031 303 1 table table NOUN bracis-19031 303 2     SPACE bracis-19031 303 3 2 2 NUM bracis-19031 303 4 shows show VERB bracis-19031 303 5 the the DET bracis-19031 303 6 test test NOUN bracis-19031 303 7 results result NOUN bracis-19031 303 8 and and CCONJ bracis-19031 303 9 the the DET bracis-19031 303 10 number number NOUN bracis-19031 303 11 of of ADP bracis-19031 303 12 instances instance NOUN bracis-19031 303 13 where where SCONJ bracis-19031 303 14 i2de i2de PROPN bracis-19031 303 15 was be AUX bracis-19031 303 16 better well ADJ bracis-19031 303 17 , , PUNCT bracis-19031 303 18 equal equal ADJ bracis-19031 303 19 or or CCONJ bracis-19031 303 20 worse bad ADJ bracis-19031 303 21 than than ADP bracis-19031 303 22 the the DET bracis-19031 303 23 other other ADJ bracis-19031 303 24 solver solver NOUN bracis-19031 303 25 . . PUNCT bracis-19031 304 1 only only ADV bracis-19031 304 2 in in ADP bracis-19031 304 3 two two NUM bracis-19031 304 4 cases case NOUN bracis-19031 304 5 the the DET bracis-19031 304 6 null null ADJ bracis-19031 304 7 hypothesis hypothesis NOUN bracis-19031 304 8 , , PUNCT bracis-19031 304 9 that that SCONJ bracis-19031 304 10 the the DET bracis-19031 304 11 two two NUM bracis-19031 304 12 solvers solver NOUN bracis-19031 304 13 perform perform VERB bracis-19031 304 14 equally equally ADV bracis-19031 304 15 , , PUNCT bracis-19031 304 16 was be AUX bracis-19031 304 17 not not PART bracis-19031 304 18 rejected reject VERB bracis-19031 304 19 : : PUNCT bracis-19031 304 20 decision decision NOUN bracis-19031 304 21 \(\approx \(\approx PRON bracis-19031 304 22 \ \ NOUN bracis-19031 304 23 ) ) PUNCT bracis-19031 304 24 . . PUNCT bracis-19031 305 1 in in ADP bracis-19031 305 2 the the DET bracis-19031 305 3 other other ADJ bracis-19031 305 4 cases case NOUN bracis-19031 305 5 , , PUNCT bracis-19031 305 6 i2de i2de PRON bracis-19031 305 7 perform perform VERB bracis-19031 305 8 better well ADV bracis-19031 305 9 : : PUNCT bracis-19031 305 10 decision decision NOUN bracis-19031 305 11 \(+\ \(+\ NOUN bracis-19031 305 12 ) ) PUNCT bracis-19031 305 13 . . PUNCT bracis-19031 306 1 according accord VERB bracis-19031 306 2 to to ADP bracis-19031 306 3 both both CCONJ bracis-19031 306 4 cec2018 cec2018 NOUN bracis-19031 306 5 and and CCONJ bracis-19031 306 6 cec2020 cec2020 X bracis-19031 306 7 ranking ranking NOUN bracis-19031 306 8 methodologies methodology NOUN bracis-19031 306 9 , , PUNCT bracis-19031 306 10 the the DET bracis-19031 306 11 best good ADJ bracis-19031 306 12 solver solver NOUN bracis-19031 306 13 will will AUX bracis-19031 306 14 obtain obtain VERB bracis-19031 306 15 the the DET bracis-19031 306 16 lowest low ADJ bracis-19031 306 17 total total ADJ bracis-19031 306 18 score score NOUN bracis-19031 306 19 value value NOUN bracis-19031 306 20 . . PUNCT bracis-19031 307 1 table table NOUN bracis-19031 307 2     SPACE bracis-19031 307 3 3 3 NUM bracis-19031 307 4 shows show VERB bracis-19031 307 5 that that SCONJ bracis-19031 307 6 the the DET bracis-19031 307 7 i2de i2de PROPN bracis-19031 307 8 outperforms outperform VERB bracis-19031 307 9 the the DET bracis-19031 307 10 other other ADJ bracis-19031 307 11 three three NUM bracis-19031 307 12 approaches approach NOUN bracis-19031 307 13 in in ADP bracis-19031 307 14 both both DET bracis-19031 307 15 ranking ranking ADJ bracis-19031 307 16 methodologies methodology NOUN bracis-19031 307 17 . . PUNCT bracis-19031 308 1 in in ADP bracis-19031 308 2 comparison comparison NOUN bracis-19031 308 3 to to ADP bracis-19031 308 4 inde inde PROPN bracis-19031 308 5 , , PUNCT bracis-19031 308 6 the the DET bracis-19031 308 7 results result NOUN bracis-19031 308 8 point point VERB bracis-19031 308 9 to to ADP bracis-19031 308 10 a a DET bracis-19031 308 11 significant significant ADJ bracis-19031 308 12 performance performance NOUN bracis-19031 308 13 improvement improvement NOUN bracis-19031 308 14 due due ADP bracis-19031 308 15 to to ADP bracis-19031 308 16 the the DET bracis-19031 308 17 reformulation reformulation NOUN bracis-19031 308 18 of of ADP bracis-19031 308 19 interval interval NOUN bracis-19031 308 20 mutation mutation NOUN bracis-19031 308 21 strategies strategy NOUN bracis-19031 308 22 and and CCONJ bracis-19031 308 23 the the DET bracis-19031 308 24 maintenance maintenance NOUN bracis-19031 308 25 of of ADP bracis-19031 308 26 population population NOUN bracis-19031 308 27 diversity diversity NOUN bracis-19031 308 28 with with ADP bracis-19031 308 29 the the DET bracis-19031 308 30 additional additional ADJ bracis-19031 308 31 archive archive NOUN bracis-19031 308 32 of of ADP bracis-19031 308 33 solutions solution NOUN bracis-19031 308 34 . . PUNCT bracis-19031 309 1 furthermore furthermore ADV bracis-19031 309 2 , , PUNCT bracis-19031 309 3 the the DET bracis-19031 309 4 comparative comparative ADJ bracis-19031 309 5 analysis analysis NOUN bracis-19031 309 6 with with ADP bracis-19031 309 7 bbde bbde NOUN bracis-19031 309 8 and and CCONJ bracis-19031 309 9 ogre ogre NOUN bracis-19031 309 10 suggests suggest VERB bracis-19031 309 11 that that SCONJ bracis-19031 309 12 the the DET bracis-19031 309 13 hybridization hybridization NOUN bracis-19031 309 14 between between ADP bracis-19031 309 15 metaheuristics metaheuristic NOUN bracis-19031 309 16 , , PUNCT bracis-19031 309 17 constraint constraint NOUN bracis-19031 309 18 programming programming NOUN bracis-19031 309 19 and and CCONJ bracis-19031 309 20 structural structural ADJ bracis-19031 309 21 decomposition decomposition NOUN bracis-19031 309 22 is be AUX bracis-19031 309 23 a a DET bracis-19031 309 24 promising promising ADJ bracis-19031 309 25 research research NOUN bracis-19031 309 26 direction direction NOUN bracis-19031 309 27 . . PUNCT bracis-19031 310 1 table table NOUN bracis-19031 310 2 2 2 NUM bracis-19031 310 3 . . PUNCT bracis-19031 310 4 statistical statistical ADJ bracis-19031 310 5 tests test NOUN bracis-19031 310 6 results result NOUN bracis-19031 310 7 and and CCONJ bracis-19031 310 8 comparison comparison NOUN bracis-19031 310 9 of of ADP bracis-19031 310 10 i2de i2de PROPN bracis-19031 310 11 with with ADP bracis-19031 310 12 inde inde PROPN bracis-19031 310 13 , , PUNCT bracis-19031 310 14 bbde bbde PROPN bracis-19031 310 15 and and CCONJ bracis-19031 310 16 ogre ogre NOUN bracis-19031 310 17 based base VERB bracis-19031 310 18 on on ADP bracis-19031 310 19 best good ADJ bracis-19031 310 20 , , PUNCT bracis-19031 310 21 mean mean VERB bracis-19031 310 22 , , PUNCT bracis-19031 310 23 median median NOUN bracis-19031 310 24 and and CCONJ bracis-19031 310 25 violation violation NOUN bracis-19031 310 26 scores score NOUN bracis-19031 310 27 over over ADP bracis-19031 310 28 155 155 NUM bracis-19031 310 29 coconut coconut NOUN bracis-19031 310 30 instances.full instances.full ADJ bracis-19031 310 31 size size NOUN bracis-19031 310 32 table table NOUN bracis-19031 310 33 table table NOUN bracis-19031 310 34 3 3 NUM bracis-19031 310 35 . . X bracis-19031 310 36 rank rank NOUN bracis-19031 310 37 of of ADP bracis-19031 310 38 i2de i2de PROPN bracis-19031 310 39 , , PUNCT bracis-19031 310 40 inde inde PROPN bracis-19031 310 41 , , PUNCT bracis-19031 310 42 bbde bbde PROPN bracis-19031 310 43 and and CCONJ bracis-19031 310 44 ogre ogre NOUN bracis-19031 310 45 according accord VERB bracis-19031 310 46 to to ADP bracis-19031 310 47 cec2018 cec2018 PROPN bracis-19031 310 48 and and CCONJ bracis-19031 310 49 cec2020 cec2020 PROPN bracis-19031 310 50 methodologies methodology NOUN bracis-19031 310 51 on on ADP bracis-19031 310 52 coconut coconut NOUN bracis-19031 310 53 benchmark.full benchmark.full NUM bracis-19031 310 54 size size NOUN bracis-19031 310 55 table table NOUN bracis-19031 310 56 5 5 NUM bracis-19031 310 57 conclusion conclusion NOUN bracis-19031 310 58 in in ADP bracis-19031 310 59 this this DET bracis-19031 310 60 work work NOUN bracis-19031 310 61 we we PRON bracis-19031 310 62 proposed propose VERB bracis-19031 310 63 the the DET bracis-19031 310 64 i2de i2de PROPN bracis-19031 310 65 , , PUNCT bracis-19031 310 66 an an DET bracis-19031 310 67 improved improved ADJ bracis-19031 310 68 version version NOUN bracis-19031 310 69 of of ADP bracis-19031 310 70 interval interval NOUN bracis-19031 310 71 differential differential NOUN bracis-19031 310 72 evolution evolution NOUN bracis-19031 310 73 that that PRON bracis-19031 310 74 uses use VERB bracis-19031 310 75 structural structural ADJ bracis-19031 310 76 information information NOUN bracis-19031 310 77 to to PART bracis-19031 310 78 solve solve VERB bracis-19031 310 79 global global ADJ bracis-19031 310 80 optimization optimization NOUN bracis-19031 310 81 problems problem NOUN bracis-19031 310 82 . . PUNCT bracis-19031 311 1 from from ADP bracis-19031 311 2 exploration exploration NOUN bracis-19031 311 3 of of ADP bracis-19031 311 4 the the DET bracis-19031 311 5 epiphytic epiphytic ADJ bracis-19031 311 6 decomposition decomposition NOUN bracis-19031 311 7 , , PUNCT bracis-19031 311 8 it it PRON bracis-19031 311 9 becomes become VERB bracis-19031 311 10 possible possible ADJ bracis-19031 311 11 to to PART bracis-19031 311 12 concentrate concentrate VERB bracis-19031 311 13 the the DET bracis-19031 311 14 search search NOUN bracis-19031 311 15 process process NOUN bracis-19031 311 16 only only ADV bracis-19031 311 17 on on ADP bracis-19031 311 18 a a DET bracis-19031 311 19 subset subset NOUN bracis-19031 311 20 of of ADP bracis-19031 311 21 variables variable NOUN bracis-19031 311 22 that that PRON bracis-19031 311 23 have have VERB bracis-19031 311 24 critical critical ADJ bracis-19031 311 25 valuation valuation NOUN bracis-19031 311 26 , , PUNCT bracis-19031 311 27 while while SCONJ bracis-19031 311 28 all all DET bracis-19031 311 29 the the DET bracis-19031 311 30 others other NOUN bracis-19031 311 31 are be AUX bracis-19031 311 32 instantiated instantiate VERB bracis-19031 311 33 by by ADP bracis-19031 311 34 propagation propagation NOUN bracis-19031 311 35 through through ADP bracis-19031 311 36 the the DET bracis-19031 311 37 constraint constraint NOUN bracis-19031 311 38 hypergraph hypergraph NOUN bracis-19031 311 39 . . PUNCT bracis-19031 312 1 additionally additionally ADV bracis-19031 312 2 , , PUNCT bracis-19031 312 3 our our PRON bracis-19031 312 4 search search NOUN bracis-19031 312 5 is be AUX bracis-19031 312 6 enhanced enhance VERB bracis-19031 312 7 by by ADP bracis-19031 312 8 a a DET bracis-19031 312 9 local local ADJ bracis-19031 312 10 consistency consistency NOUN bracis-19031 312 11 process process NOUN bracis-19031 312 12 that that PRON bracis-19031 312 13 prunes prune VERB bracis-19031 312 14 values value NOUN bracis-19031 312 15 that that PRON bracis-19031 312 16 certainly certainly ADV bracis-19031 312 17 do do AUX bracis-19031 312 18 not not PART bracis-19031 312 19 constitute constitute VERB bracis-19031 312 20 the the DET bracis-19031 312 21 optimal optimal ADJ bracis-19031 312 22 solution solution NOUN bracis-19031 312 23 . . PUNCT bracis-19031 313 1 one one NUM bracis-19031 313 2 of of ADP bracis-19031 313 3 the the DET bracis-19031 313 4 main main ADJ bracis-19031 313 5 contributions contribution NOUN bracis-19031 313 6 of of ADP bracis-19031 313 7 our our PRON bracis-19031 313 8 approach approach NOUN bracis-19031 313 9 is be AUX bracis-19031 313 10 the the DET bracis-19031 313 11 extension extension NOUN bracis-19031 313 12 of of ADP bracis-19031 313 13 the the DET bracis-19031 313 14 multi multi ADJ bracis-19031 313 15 - - ADJ bracis-19031 313 16 interval interval ADJ bracis-19031 313 17 core core NOUN bracis-19031 313 18 of of ADP bracis-19031 313 19 ogre ogre NOUN bracis-19031 313 20 . . PUNCT bracis-19031 314 1 this this PRON bracis-19031 314 2 allows allow VERB bracis-19031 314 3 us we PRON bracis-19031 314 4 to to PART bracis-19031 314 5 tackle tackle VERB bracis-19031 314 6 a a DET bracis-19031 314 7 greater great ADJ bracis-19031 314 8 diversity diversity NOUN bracis-19031 314 9 of of ADP bracis-19031 314 10 benchmark benchmark NOUN bracis-19031 314 11 functions function NOUN bracis-19031 314 12 and and CCONJ bracis-19031 314 13 real real ADJ bracis-19031 314 14 - - PUNCT bracis-19031 314 15 world world NOUN bracis-19031 314 16 problems problem NOUN bracis-19031 314 17 that that PRON bracis-19031 314 18 otherwise otherwise ADV bracis-19031 314 19 could could AUX bracis-19031 314 20 not not PART bracis-19031 314 21 be be AUX bracis-19031 314 22 adequately adequately ADV bracis-19031 314 23 represented represent VERB bracis-19031 314 24 . . PUNCT bracis-19031 315 1 we we PRON bracis-19031 315 2 also also ADV bracis-19031 315 3 proposed propose VERB bracis-19031 315 4 a a DET bracis-19031 315 5 reformulation reformulation NOUN bracis-19031 315 6 of of ADP bracis-19031 315 7 three three NUM bracis-19031 315 8 de de ADJ bracis-19031 315 9 interval interval NOUN bracis-19031 315 10 mutation mutation NOUN bracis-19031 315 11 operations operation NOUN bracis-19031 315 12 and and CCONJ bracis-19031 315 13 incorporated incorporate VERB bracis-19031 315 14 heuristics heuristic NOUN bracis-19031 315 15 from from ADP bracis-19031 315 16 several several ADJ bracis-19031 315 17 state state NOUN bracis-19031 315 18 - - PUNCT bracis-19031 315 19 of of ADP bracis-19031 315 20 - - PUNCT bracis-19031 315 21 the the DET bracis-19031 315 22 - - PUNCT bracis-19031 315 23 art art NOUN bracis-19031 315 24 solvers solver NOUN bracis-19031 315 25 that that PRON bracis-19031 315 26 contributed contribute VERB bracis-19031 315 27 to to PART bracis-19031 315 28 improve improve VERB bracis-19031 315 29 the the DET bracis-19031 315 30 performance performance NOUN bracis-19031 315 31 of of ADP bracis-19031 315 32 our our PRON bracis-19031 315 33 approach approach NOUN bracis-19031 315 34 . . PUNCT bracis-19031 316 1 the the DET bracis-19031 316 2 experimental experimental ADJ bracis-19031 316 3 analysis analysis NOUN bracis-19031 316 4 of of ADP bracis-19031 316 5 the the DET bracis-19031 316 6 proposed propose VERB bracis-19031 316 7 i2de i2de PROPN bracis-19031 316 8 on on ADP bracis-19031 316 9 the the DET bracis-19031 316 10 155 155 NUM bracis-19031 316 11 functions function NOUN bracis-19031 316 12 selected select VERB bracis-19031 316 13 from from ADP bracis-19031 316 14 the the DET bracis-19031 316 15 coconut coconut NOUN bracis-19031 316 16 benchmark benchmark NOUN bracis-19031 316 17     SPACE bracis-19031 317 1 [ [ X bracis-19031 317 2 19 19 NUM bracis-19031 317 3 ] ] PUNCT bracis-19031 317 4 showed show VERB bracis-19031 317 5 that that SCONJ bracis-19031 317 6 the the DET bracis-19031 317 7 reformulation reformulation NOUN bracis-19031 317 8 of of ADP bracis-19031 317 9 the the DET bracis-19031 317 10 interval interval NOUN bracis-19031 317 11 mutation mutation NOUN bracis-19031 317 12 strategies strategy NOUN bracis-19031 317 13 and and CCONJ bracis-19031 317 14 of of ADP bracis-19031 317 15 the the DET bracis-19031 317 16 additional additional ADJ bracis-19031 317 17 archive archive NOUN bracis-19031 317 18 significantly significantly ADV bracis-19031 317 19 improved improve VERB bracis-19031 317 20 the the DET bracis-19031 317 21 performance performance NOUN bracis-19031 317 22 of of ADP bracis-19031 317 23 the the DET bracis-19031 317 24 search search NOUN bracis-19031 317 25 method method NOUN bracis-19031 317 26 . . PUNCT bracis-19031 318 1 furthermore furthermore ADV bracis-19031 318 2 , , PUNCT bracis-19031 318 3 the the DET bracis-19031 318 4 results result NOUN bracis-19031 318 5 obtained obtain VERB bracis-19031 318 6 in in ADP bracis-19031 318 7 comparison comparison NOUN bracis-19031 318 8 with with ADP bracis-19031 318 9 ogre ogre NOUN bracis-19031 318 10 and and CCONJ bracis-19031 318 11 bbde bbde PROPN bracis-19031 318 12 reveal reveal VERB bracis-19031 318 13 that that SCONJ bracis-19031 318 14 , , PUNCT bracis-19031 318 15 although although SCONJ bracis-19031 318 16 the the DET bracis-19031 318 17 exploration exploration NOUN bracis-19031 318 18 of of ADP bracis-19031 318 19 the the DET bracis-19031 318 20 instance instance NOUN bracis-19031 318 21 ’s ’s PART bracis-19031 318 22 structural structural ADJ bracis-19031 318 23 information information NOUN bracis-19031 318 24 increases increase VERB bracis-19031 318 25 the the DET bracis-19031 318 26 size size NOUN bracis-19031 318 27 of of ADP bracis-19031 318 28 the the DET bracis-19031 318 29 search search NOUN bracis-19031 318 30 space space NOUN bracis-19031 318 31 and and CCONJ bracis-19031 318 32 the the DET bracis-19031 318 33 processing processing NOUN bracis-19031 318 34 time time NOUN bracis-19031 318 35 , , PUNCT bracis-19031 318 36 it it PRON bracis-19031 318 37 considerably considerably ADV bracis-19031 318 38 improves improve VERB bracis-19031 318 39 the the DET bracis-19031 318 40 quality quality NOUN bracis-19031 318 41 of of ADP bracis-19031 318 42 the the DET bracis-19031 318 43 solutions solution NOUN bracis-19031 318 44 found find VERB bracis-19031 318 45 . . PUNCT bracis-19031 319 1 considering consider VERB bracis-19031 319 2 that that PRON bracis-19031 319 3 bbde bbde PROPN bracis-19031 319 4 outperformed outperform VERB bracis-19031 319 5 several several ADJ bracis-19031 319 6 state state NOUN bracis-19031 319 7 - - PUNCT bracis-19031 319 8 of of ADP bracis-19031 319 9 - - PUNCT bracis-19031 319 10 the the DET bracis-19031 319 11 - - PUNCT bracis-19031 319 12 art art NOUN bracis-19031 319 13 solvers solver NOUN bracis-19031 319 14 and and CCONJ bracis-19031 319 15 was be AUX bracis-19031 319 16 overcome overcome VERB bracis-19031 319 17 by by ADP bracis-19031 319 18 i2de i2de PROPN bracis-19031 319 19 , , PUNCT bracis-19031 319 20 we we PRON bracis-19031 319 21 shown show VERB bracis-19031 319 22 that that SCONJ bracis-19031 319 23 the the DET bracis-19031 319 24 use use NOUN bracis-19031 319 25 of of ADP bracis-19031 319 26 structural structural ADJ bracis-19031 319 27 instance instance NOUN bracis-19031 319 28 information information NOUN bracis-19031 319 29 in in ADP bracis-19031 319 30 the the DET bracis-19031 319 31 context context NOUN bracis-19031 319 32 of of ADP bracis-19031 319 33 metaheuristics metaheuristic NOUN bracis-19031 319 34 is be AUX bracis-19031 319 35 a a DET bracis-19031 319 36 promising promising ADJ bracis-19031 319 37 research research NOUN bracis-19031 319 38 direction direction NOUN bracis-19031 319 39 . . PUNCT bracis-19031 320 1 some some DET bracis-19031 320 2 future future ADJ bracis-19031 320 3 work work NOUN bracis-19031 320 4 includes include VERB bracis-19031 320 5 the the DET bracis-19031 320 6 implementation implementation NOUN bracis-19031 320 7 of of ADP bracis-19031 320 8 other other ADJ bracis-19031 320 9 contractors contractor NOUN bracis-19031 320 10 that that PRON bracis-19031 320 11 help help VERB bracis-19031 320 12 to to PART bracis-19031 320 13 efficiently efficiently ADV bracis-19031 320 14 prune prune VERB bracis-19031 320 15 the the DET bracis-19031 320 16 intervals interval NOUN bracis-19031 320 17 without without ADP bracis-19031 320 18 loss loss NOUN bracis-19031 320 19 of of ADP bracis-19031 320 20 solutions solution NOUN bracis-19031 320 21 . . PUNCT bracis-19031 321 1 in in ADP bracis-19031 321 2 addition addition NOUN bracis-19031 321 3 , , PUNCT bracis-19031 321 4 we we PRON bracis-19031 321 5 intend intend VERB bracis-19031 321 6 to to PART bracis-19031 321 7 develop develop VERB bracis-19031 321 8 a a DET bracis-19031 321 9 hybrid hybrid ADJ bracis-19031 321 10 cooperative cooperative ADJ bracis-19031 321 11 approach approach NOUN bracis-19031 321 12 that that PRON bracis-19031 321 13 joins join VERB bracis-19031 321 14 our our PRON bracis-19031 321 15 interval interval NOUN bracis-19031 321 16 metaheuristics metaheuristic NOUN bracis-19031 321 17 with with ADP bracis-19031 321 18 exact exact ADJ bracis-19031 321 19 methods method NOUN bracis-19031 321 20 that that PRON bracis-19031 321 21 also also ADV bracis-19031 321 22 use use VERB bracis-19031 321 23 this this DET bracis-19031 321 24 representation representation NOUN bracis-19031 321 25 for for ADP bracis-19031 321 26 the the DET bracis-19031 321 27 solutions solution NOUN bracis-19031 321 28 . . PUNCT bracis-19031 322 1 notes note VERB bracis-19031 322 2 1.a 1.a NUM bracis-19031 322 3 constraint constraint NOUN bracis-19031 322 4 is be AUX bracis-19031 322 5 said say VERB bracis-19031 322 6 to to PART bracis-19031 322 7 be be AUX bracis-19031 322 8 ternary ternary ADJ bracis-19031 322 9 if if SCONJ bracis-19031 322 10 it it PRON bracis-19031 322 11 involves involve VERB bracis-19031 322 12 at at ADP bracis-19031 322 13 most most ADJ bracis-19031 322 14 three three NUM bracis-19031 322 15 variables variable NOUN bracis-19031 322 16 . . PUNCT bracis-19031 323 1 2.the 2.the DET bracis-19031 323 2 structure structure NOUN bracis-19031 323 3 of of ADP bracis-19031 323 4 a a DET bracis-19031 323 5 cn cn PROPN bracis-19031 323 6 can can AUX bracis-19031 323 7 be be AUX bracis-19031 323 8 represented represent VERB bracis-19031 323 9 by by ADP bracis-19031 323 10 a a DET bracis-19031 323 11 hypergraph hypergraph NOUN bracis-19031 323 12 which which PRON bracis-19031 323 13 vertices vertice VERB bracis-19031 323 14 are be AUX bracis-19031 323 15 the the DET bracis-19031 323 16 variables variable NOUN bracis-19031 323 17 and and CCONJ bracis-19031 323 18 for for ADP bracis-19031 323 19 each each DET bracis-19031 323 20 constraint constraint NOUN bracis-19031 323 21 there there PRON bracis-19031 323 22 is be VERB bracis-19031 323 23 a a DET bracis-19031 323 24 hyperedge hyperedge NOUN bracis-19031 323 25 connecting connect VERB bracis-19031 323 26 its its PRON bracis-19031 323 27 respective respective ADJ bracis-19031 323 28 vertices vertex NOUN bracis-19031 323 29 . . PUNCT bracis-19031 324 1 therefore therefore ADV bracis-19031 324 2 , , PUNCT bracis-19031 324 3 a a DET bracis-19031 324 4 cn cn PROPN bracis-19031 324 5 is be AUX bracis-19031 324 6 acyclic acyclic ADJ bracis-19031 324 7 if if SCONJ bracis-19031 324 8 its its PRON bracis-19031 324 9 hypergraph hypergraph NOUN bracis-19031 324 10 is be AUX bracis-19031 324 11 berge berge NOUN bracis-19031 324 12 - - ADJ bracis-19031 324 13 acyclic acyclic ADJ bracis-19031 324 14     SPACE bracis-19031 325 1 [ [ X bracis-19031 325 2 2 2 NUM bracis-19031 325 3 ] ] PUNCT bracis-19031 325 4 . . PUNCT bracis-19031 326 1 3.lshade 3.lshade NUM bracis-19031 326 2 - - PUNCT bracis-19031 326 3 iepsilon iepsilon NOUN bracis-19031 326 4     SPACE bracis-19031 326 5 [ [ X bracis-19031 326 6 9 9 NUM bracis-19031 326 7 ] ] PUNCT bracis-19031 326 8 , , PUNCT bracis-19031 326 9 \(\varepsilon \(\varepsilon NOUN bracis-19031 326 10 \)mages \)mage NOUN bracis-19031 326 11     SPACE bracis-19031 327 1 [ [ PUNCT bracis-19031 327 2 11 11 NUM bracis-19031 327 3 ] ] PUNCT bracis-19031 327 4 , , PUNCT bracis-19031 327 5 lshade44 lshade44 PROPN bracis-19031 327 6     SPACE bracis-19031 328 1 [ [ X bracis-19031 328 2 17 17 NUM bracis-19031 328 3 ] ] PUNCT bracis-19031 328 4 , , PUNCT bracis-19031 328 5 ude ude NOUN bracis-19031 328 6     SPACE bracis-19031 328 7 [ [ X bracis-19031 328 8 23 23 NUM bracis-19031 328 9 ] ] PUNCT bracis-19031 328 10 , , PUNCT bracis-19031 328 11 iude iude VERB bracis-19031 328 12     SPACE bracis-19031 329 1 [ [ X bracis-19031 329 2 24 24 NUM bracis-19031 329 3 ] ] PUNCT bracis-19031 329 4 , , PUNCT bracis-19031 329 5 lshade+ide lshade+ide VERB bracis-19031 329 6     SPACE bracis-19031 330 1 [ [ X bracis-19031 330 2 25 25 NUM bracis-19031 330 3 ] ] PUNCT bracis-19031 330 4 and and CCONJ bracis-19031 330 5 cal cal ADJ bracis-19031 330 6 - - PUNCT bracis-19031 330 7 shade shade NOUN bracis-19031 330 8     SPACE bracis-19031 331 1 [ [ X bracis-19031 331 2 28 28 NUM bracis-19031 331 3 ] ] PUNCT bracis-19031 331 4 . . PUNCT bracis-19031 332 1 4.https://www3.ntu.edu.sg/home/epnsugan/index_files/cec2018/cec2018.htm 4.https://www3.ntu.edu.sg/home/epnsugan/index_files/cec2018/cec2018.htm NUM bracis-19031 332 2 , , PUNCT bracis-19031 332 3 last last ADV bracis-19031 332 4 accessed access VERB bracis-19031 332 5 18 18 NUM bracis-19031 332 6 jun jun PROPN bracis-19031 332 7 2021 2021 NUM bracis-19031 332 8 . . PUNCT bracis-19031 333 1 references reference NOUN bracis-19031 333 2 araya araya PROPN bracis-19031 333 3 , , PUNCT bracis-19031 333 4 i. i. PROPN bracis-19031 333 5 , , PUNCT bracis-19031 333 6 reyes reyes PROPN bracis-19031 333 7 , , PUNCT bracis-19031 333 8 v. v. ADP bracis-19031 333 9 : : PUNCT bracis-19031 333 10 interval interval NOUN bracis-19031 333 11 branch branch NOUN bracis-19031 333 12 - - PUNCT bracis-19031 333 13 and and CCONJ bracis-19031 333 14 - - PUNCT bracis-19031 333 15 bound bind VERB bracis-19031 333 16 algorithms algorithm NOUN bracis-19031 333 17 for for ADP bracis-19031 333 18 optimization optimization NOUN bracis-19031 333 19 and and CCONJ bracis-19031 333 20 constraint constraint NOUN bracis-19031 333 21 satisfaction satisfaction NOUN bracis-19031 333 22 : : PUNCT bracis-19031 333 23 a a DET bracis-19031 333 24 survey survey NOUN bracis-19031 333 25 and and CCONJ bracis-19031 333 26 prospects prospect NOUN bracis-19031 333 27 . . PUNCT bracis-19031 334 1 j. j. PROPN bracis-19031 334 2 glob glob PROPN bracis-19031 334 3 . . PROPN bracis-19031 334 4 optim optim PROPN bracis-19031 334 5 . . PUNCT bracis-19031 335 1 65(4 65(4 NOUN bracis-19031 335 2 ) ) PUNCT bracis-19031 335 3 , , PUNCT bracis-19031 335 4 837–866 837–866 PROPN bracis-19031 335 5 ( ( PUNCT bracis-19031 335 6 2016 2016 NUM bracis-19031 335 7 ) ) PUNCT bracis-19031 335 8 article article NOUN bracis-19031 335 9     SPACE bracis-19031 335 10 mathscinet mathscinet NOUN bracis-19031 335 11     SPACE bracis-19031 335 12 google google PROPN bracis-19031 335 13 scholar scholar NOUN bracis-19031 335 14     SPACE bracis-19031 335 15 berge berge NOUN bracis-19031 335 16 , , PUNCT bracis-19031 335 17 c. c. NOUN bracis-19031 335 18 : : PUNCT bracis-19031 335 19 graphs graph NOUN bracis-19031 335 20 and and CCONJ bracis-19031 335 21 hypergraphs hypergraph NOUN bracis-19031 335 22 . . PUNCT bracis-19031 336 1 elsevier elsevier PROPN bracis-19031 336 2 science science PROPN bracis-19031 336 3 ltd ltd PROPN bracis-19031 336 4 . . PROPN bracis-19031 336 5 , , PUNCT bracis-19031 336 6 oxford oxford PROPN bracis-19031 336 7 ( ( PUNCT bracis-19031 336 8 1985 1985 NUM bracis-19031 336 9 ) ) PUNCT bracis-19031 336 10 google google PROPN bracis-19031 336 11 scholar scholar NOUN bracis-19031 336 12     SPACE bracis-19031 336 13 brest brest NOUN bracis-19031 336 14 , , PUNCT bracis-19031 336 15 j. j. PROPN bracis-19031 336 16 , , PUNCT bracis-19031 336 17 maučec maučec PROPN bracis-19031 336 18 , , PUNCT bracis-19031 336 19 m.s m.s PROPN bracis-19031 336 20 . . PROPN bracis-19031 336 21 , , PUNCT bracis-19031 336 22 bošković bošković PROPN bracis-19031 336 23 , , PUNCT bracis-19031 336 24 b. b. PROPN bracis-19031 336 25 : : PUNCT bracis-19031 336 26 il il PROPN bracis-19031 336 27 - - PUNCT bracis-19031 336 28 shade shade NOUN bracis-19031 336 29 : : PUNCT bracis-19031 336 30 improved improved ADJ bracis-19031 336 31 l l ADJ bracis-19031 336 32 - - ADJ bracis-19031 336 33 shade shade NOUN bracis-19031 336 34 algorithm algorithm NOUN bracis-19031 336 35 for for ADP bracis-19031 336 36 single single ADJ bracis-19031 336 37 objective objective ADJ bracis-19031 336 38 real real ADJ bracis-19031 336 39 - - PUNCT bracis-19031 336 40 parameter parameter NOUN bracis-19031 336 41 optimization optimization NOUN bracis-19031 336 42 . . PUNCT bracis-19031 337 1 in in ADP bracis-19031 337 2 : : PUNCT bracis-19031 337 3 2016 2016 NUM bracis-19031 337 4 ieee ieee NOUN bracis-19031 337 5 congress congress PROPN bracis-19031 337 6 on on ADP bracis-19031 337 7 evolutionary evolutionary ADJ bracis-19031 337 8 computation computation NOUN bracis-19031 337 9 ( ( PUNCT bracis-19031 337 10 cec cec PROPN bracis-19031 337 11 ) ) PUNCT bracis-19031 337 12 , , PUNCT bracis-19031 337 13 pp pp ADJ bracis-19031 337 14 . . PUNCT bracis-19031 338 1 1188–1195 1188–1195 X bracis-19031 338 2 . . X bracis-19031 339 1 ieee ieee NOUN bracis-19031 339 2 ( ( PUNCT bracis-19031 339 3 2016 2016 NUM bracis-19031 339 4 ) ) PUNCT bracis-19031 339 5 google google PROPN bracis-19031 339 6 scholar scholar NOUN bracis-19031 339 7     SPACE bracis-19031 339 8 brest brest NOUN bracis-19031 339 9 , , PUNCT bracis-19031 339 10 j. j. PROPN bracis-19031 339 11 , , PUNCT bracis-19031 339 12 maučec maučec PROPN bracis-19031 339 13 , , PUNCT bracis-19031 339 14 m.s m.s PROPN bracis-19031 339 15 . . PROPN bracis-19031 339 16 , , PUNCT bracis-19031 339 17 bošković bošković PROPN bracis-19031 339 18 , , PUNCT bracis-19031 339 19 b. b. PROPN bracis-19031 339 20 : : PUNCT bracis-19031 339 21 single single ADJ bracis-19031 339 22 objective objective ADJ bracis-19031 339 23 real real ADJ bracis-19031 339 24 - - PUNCT bracis-19031 339 25 parameter parameter NOUN bracis-19031 339 26 optimization optimization NOUN bracis-19031 339 27 : : PUNCT bracis-19031 339 28 algorithm algorithm PROPN bracis-19031 339 29 jso jso PROPN bracis-19031 339 30 . . PUNCT bracis-19031 340 1 in in ADP bracis-19031 340 2 : : PUNCT bracis-19031 340 3 2017 2017 NUM bracis-19031 340 4 ieee ieee NOUN bracis-19031 340 5 congress congress PROPN bracis-19031 340 6 on on ADP bracis-19031 340 7 evolutionary evolutionary ADJ bracis-19031 340 8 computation computation NOUN bracis-19031 340 9 ( ( PUNCT bracis-19031 340 10 cec cec PROPN bracis-19031 340 11 ) ) PUNCT bracis-19031 340 12 , , PUNCT bracis-19031 340 13 pp pp PROPN bracis-19031 340 14 . . PUNCT bracis-19031 340 15 1311–1318 1311–1318 NUM bracis-19031 340 16 . . PUNCT bracis-19031 341 1 ieee ieee NOUN bracis-19031 341 2 ( ( PUNCT bracis-19031 341 3 2017 2017 NUM bracis-19031 341 4 ) ) PUNCT bracis-19031 341 5 google google NOUN bracis-19031 341 6 scholar scholar NOUN bracis-19031 341 7     SPACE bracis-19031 341 8 cassenote cassenote NOUN bracis-19031 341 9 , , PUNCT bracis-19031 341 10 m.r.s m.r.s NOUN bracis-19031 341 11 . . PROPN bracis-19031 341 12 , , PUNCT bracis-19031 341 13 derenievicz derenievicz PROPN bracis-19031 341 14 , , PUNCT bracis-19031 341 15 g.a g.a PROPN bracis-19031 341 16 . . PROPN bracis-19031 341 17 , , PUNCT bracis-19031 341 18 silva silva PROPN bracis-19031 341 19 , , PUNCT bracis-19031 341 20 f. f. PROPN bracis-19031 341 21 : : PUNCT bracis-19031 341 22 interval interval NOUN bracis-19031 341 23 differential differential NOUN bracis-19031 341 24 evolution evolution NOUN bracis-19031 341 25 using use VERB bracis-19031 341 26 structural structural ADJ bracis-19031 341 27 information information NOUN bracis-19031 341 28 of of ADP bracis-19031 341 29 global global ADJ bracis-19031 341 30 optimization optimization NOUN bracis-19031 341 31 problems problem NOUN bracis-19031 341 32 . . PUNCT bracis-19031 342 1 in in ADP bracis-19031 342 2 : : PUNCT bracis-19031 342 3 moura moura PROPN bracis-19031 342 4 oliveira oliveira PROPN bracis-19031 342 5 , , PUNCT bracis-19031 342 6 p. p. PROPN bracis-19031 342 7 , , PUNCT bracis-19031 342 8 novais novais PROPN bracis-19031 342 9 , , PUNCT bracis-19031 342 10 p. p. NOUN bracis-19031 342 11 , , PUNCT bracis-19031 342 12 reis reis NOUN bracis-19031 342 13 , , PUNCT bracis-19031 342 14 l.p l.p PROPN bracis-19031 342 15 . . PROPN bracis-19031 342 16 ( ( PUNCT bracis-19031 342 17 eds ed NOUN bracis-19031 342 18 . . PUNCT bracis-19031 342 19 ) ) PUNCT bracis-19031 342 20 epia epia VERB bracis-19031 342 21 2019 2019 NUM bracis-19031 342 22 . . PUNCT bracis-19031 343 1 lncs lncs PROPN bracis-19031 343 2 ( ( PUNCT bracis-19031 343 3 lnai lnai ADJ bracis-19031 343 4 ) ) PUNCT bracis-19031 343 5 , , PUNCT bracis-19031 343 6 vol vol NOUN bracis-19031 343 7 . . NOUN bracis-19031 343 8 11804 11804 NUM bracis-19031 343 9 , , PUNCT bracis-19031 343 10 pp pp ADJ bracis-19031 343 11 . . PUNCT bracis-19031 344 1 724–736 724–736 NUM bracis-19031 344 2 . . PUNCT bracis-19031 344 3 springer springer NOUN bracis-19031 344 4 , , PUNCT bracis-19031 344 5 cham cham PROPN bracis-19031 344 6 ( ( PUNCT bracis-19031 344 7 2019 2019 NUM bracis-19031 344 8 ) ) PUNCT bracis-19031 344 9 . . PUNCT bracis-19031 345 1 https://doi.org/10.1007/978-3-030-30241-2_60 https://doi.org/10.1007/978-3-030-30241-2_60 NUM bracis-19031 345 2 chapter chapter NOUN bracis-19031 345 3     SPACE bracis-19031 345 4 google google PROPN bracis-19031 345 5 scholar scholar NOUN bracis-19031 345 6     SPACE bracis-19031 345 7 cohen cohen PROPN bracis-19031 345 8 , , PUNCT bracis-19031 345 9 d. d. PROPN bracis-19031 345 10 , , PUNCT bracis-19031 345 11 jeavons jeavon NOUN bracis-19031 345 12 , , PUNCT bracis-19031 345 13 p. p. NOUN bracis-19031 345 14 : : PUNCT bracis-19031 345 15 the the DET bracis-19031 345 16 power power NOUN bracis-19031 345 17 of of ADP bracis-19031 345 18 propagation propagation NOUN bracis-19031 345 19 : : PUNCT bracis-19031 345 20 when when SCONJ bracis-19031 345 21 gac gac PROPN bracis-19031 345 22 is be AUX bracis-19031 345 23 enough enough ADJ bracis-19031 345 24 . . PUNCT bracis-19031 346 1 constraints constraint NOUN bracis-19031 346 2 22 22 NUM bracis-19031 346 3 , , PUNCT bracis-19031 346 4 3–23 3–23 NUM bracis-19031 346 5 ( ( PUNCT bracis-19031 346 6 2016 2016 NUM bracis-19031 346 7 ) ) PUNCT bracis-19031 346 8 article article NOUN bracis-19031 346 9     SPACE bracis-19031 346 10 mathscinet mathscinet NOUN bracis-19031 346 11     SPACE bracis-19031 346 12 google google PROPN bracis-19031 346 13 scholar scholar NOUN bracis-19031 346 14     SPACE bracis-19031 346 15 dechter dechter PROPN bracis-19031 346 16 , , PUNCT bracis-19031 346 17 r. r. PROPN bracis-19031 346 18 , , PUNCT bracis-19031 346 19 van van PROPN bracis-19031 346 20 beek beek PROPN bracis-19031 346 21 , , PUNCT bracis-19031 346 22 p. p. NOUN bracis-19031 346 23 : : PUNCT bracis-19031 347 1 local local ADJ bracis-19031 347 2 and and CCONJ bracis-19031 347 3 global global ADJ bracis-19031 347 4 relational relational ADJ bracis-19031 347 5 consistency consistency NOUN bracis-19031 347 6 . . PUNCT bracis-19031 348 1 in in ADP bracis-19031 348 2 : : PUNCT bracis-19031 348 3 montanari montanari PROPN bracis-19031 348 4 , , PUNCT bracis-19031 348 5 u. u. PROPN bracis-19031 348 6 , , PUNCT bracis-19031 348 7 rossi rossi PROPN bracis-19031 348 8 , , PUNCT bracis-19031 348 9 f. f. PROPN bracis-19031 348 10 ( ( PUNCT bracis-19031 348 11 eds eds PROPN bracis-19031 348 12 . . PUNCT bracis-19031 348 13 ) ) PUNCT bracis-19031 349 1 cp cp INTJ bracis-19031 349 2 1995 1995 NUM bracis-19031 349 3 . . PUNCT bracis-19031 350 1 lncs lncs PROPN bracis-19031 350 2 , , PUNCT bracis-19031 350 3 vol vol NOUN bracis-19031 350 4 . . PROPN bracis-19031 350 5 976 976 NUM bracis-19031 350 6 , , PUNCT bracis-19031 350 7 pp pp ADJ bracis-19031 350 8 . . PUNCT bracis-19031 351 1 240–257 240–257 NUM bracis-19031 351 2 . . PUNCT bracis-19031 352 1 springer springer NOUN bracis-19031 352 2 , , PUNCT bracis-19031 352 3 heidelberg heidelberg PROPN bracis-19031 352 4 ( ( PUNCT bracis-19031 352 5 1995 1995 NUM bracis-19031 352 6 ) ) PUNCT bracis-19031 352 7 . . PUNCT bracis-19031 353 1 https://doi.org/10.1007/3-540-60299-2_15 https://doi.org/10.1007/3-540-60299-2_15 ADV bracis-19031 353 2 chapter chapter NOUN bracis-19031 353 3     SPACE bracis-19031 353 4 google google PROPN bracis-19031 353 5 scholar scholar NOUN bracis-19031 353 6     SPACE bracis-19031 353 7 derenievicz derenievicz NOUN bracis-19031 353 8 , , PUNCT bracis-19031 353 9 g.a g.a PROPN bracis-19031 353 10 . . PROPN bracis-19031 353 11 , , PUNCT bracis-19031 353 12 silva silva PROPN bracis-19031 353 13 , , PUNCT bracis-19031 353 14 f. f. PROPN bracis-19031 353 15 : : PUNCT bracis-19031 353 16 epiphytic epiphytic ADJ bracis-19031 353 17 trees tree NOUN bracis-19031 353 18 : : PUNCT bracis-19031 353 19 relational relational ADJ bracis-19031 353 20 consistency consistency NOUN bracis-19031 353 21 applied apply VERB bracis-19031 353 22 to to ADP bracis-19031 353 23 global global ADJ bracis-19031 353 24 optimization optimization NOUN bracis-19031 353 25 problems problem NOUN bracis-19031 353 26 . . PUNCT bracis-19031 354 1 in in ADP bracis-19031 354 2 : : PUNCT bracis-19031 354 3 van van PROPN bracis-19031 354 4 hoeve hoeve NOUN bracis-19031 354 5 , , PUNCT bracis-19031 354 6 w.-j w.-j PROPN bracis-19031 354 7 . . PUNCT bracis-19031 355 1 ( ( PUNCT bracis-19031 355 2 ed ed NOUN bracis-19031 355 3 . . PUNCT bracis-19031 355 4 ) ) PUNCT bracis-19031 356 1 cpaior cpaior ADJ bracis-19031 356 2 2018 2018 NUM bracis-19031 356 3 . . PUNCT bracis-19031 357 1 lncs lncs PROPN bracis-19031 357 2 , , PUNCT bracis-19031 357 3 vol vol NOUN bracis-19031 357 4 . . PROPN bracis-19031 357 5 10848 10848 NUM bracis-19031 357 6 , , PUNCT bracis-19031 357 7 pp pp ADJ bracis-19031 357 8 . . PUNCT bracis-19031 358 1 153–169 153–169 NUM bracis-19031 358 2 . . PUNCT bracis-19031 358 3 springer springer NOUN bracis-19031 358 4 , , PUNCT bracis-19031 358 5 cham cham PROPN bracis-19031 358 6 ( ( PUNCT bracis-19031 358 7 2018 2018 NUM bracis-19031 358 8 ) ) PUNCT bracis-19031 358 9 . . PUNCT bracis-19031 359 1 https://doi.org/10.1007/978-3-319-93031-2_11 https://doi.org/10.1007/978-3-319-93031-2_11 PROPN bracis-19031 359 2 chapter chapter NOUN bracis-19031 359 3     SPACE bracis-19031 359 4 google google PROPN bracis-19031 359 5 scholar scholar NOUN bracis-19031 359 6     SPACE bracis-19031 359 7 fan fan PROPN bracis-19031 359 8 , , PUNCT bracis-19031 359 9 z. z. PROPN bracis-19031 359 10 , , PUNCT bracis-19031 359 11 fang fang PROPN bracis-19031 359 12 , , PUNCT bracis-19031 359 13 y. y. PROPN bracis-19031 359 14 , , PUNCT bracis-19031 359 15 li li PROPN bracis-19031 359 16 , , PUNCT bracis-19031 359 17 w. w. PROPN bracis-19031 359 18 , , PUNCT bracis-19031 359 19 yuan yuan PROPN bracis-19031 359 20 , , PUNCT bracis-19031 359 21 y. y. PROPN bracis-19031 359 22 , , PUNCT bracis-19031 359 23 wang wang PROPN bracis-19031 359 24 , , PUNCT bracis-19031 359 25 z. z. PROPN bracis-19031 359 26 , , PUNCT bracis-19031 359 27 bian bian PROPN bracis-19031 359 28 , , PUNCT bracis-19031 359 29 x. x. NOUN bracis-19031 359 30 : : PUNCT bracis-19031 359 31 lshade44 lshade44 PROPN bracis-19031 359 32 with with ADP bracis-19031 359 33 an an DET bracis-19031 359 34 improved improved ADJ bracis-19031 359 35 \(\varepsilon \(\varepsilon NOUN bracis-19031 359 36 \ \ NOUN bracis-19031 359 37 ) ) PUNCT bracis-19031 359 38 constraint constraint NOUN bracis-19031 359 39 - - PUNCT bracis-19031 359 40 handling handling NOUN bracis-19031 359 41 method method NOUN bracis-19031 359 42 for for ADP bracis-19031 359 43 solving solve VERB bracis-19031 359 44 constrained constrain VERB bracis-19031 359 45 single single ADJ bracis-19031 359 46 - - PUNCT bracis-19031 359 47 objective objective ADJ bracis-19031 359 48 optimization optimization NOUN bracis-19031 359 49 problems problem NOUN bracis-19031 359 50 . . PUNCT bracis-19031 360 1 in in ADP bracis-19031 360 2 : : PUNCT bracis-19031 360 3 2018 2018 NUM bracis-19031 360 4 ieee ieee NOUN bracis-19031 360 5 congress congress PROPN bracis-19031 360 6 on on ADP bracis-19031 360 7 evolutionary evolutionary ADJ bracis-19031 360 8 computation computation NOUN bracis-19031 360 9 ( ( PUNCT bracis-19031 360 10 cec cec PROPN bracis-19031 360 11 ) ) PUNCT bracis-19031 360 12 , , PUNCT bracis-19031 360 13 pp pp PROPN bracis-19031 360 14 . . PUNCT bracis-19031 361 1 1–8 1–8 X bracis-19031 361 2 . . PUNCT bracis-19031 361 3 ieee ieee PROPN bracis-19031 361 4 ( ( PUNCT bracis-19031 361 5 2018 2018 NUM bracis-19031 361 6 ) ) PUNCT bracis-19031 361 7 google google PROPN bracis-19031 361 8 scholar scholar NOUN bracis-19031 361 9     SPACE bracis-19031 361 10 hansen hansen PROPN bracis-19031 361 11 , , PUNCT bracis-19031 361 12 e. e. PROPN bracis-19031 361 13 , , PUNCT bracis-19031 361 14 walster walster NOUN bracis-19031 361 15 , , PUNCT bracis-19031 361 16 g.w g.w PROPN bracis-19031 361 17 . . PROPN bracis-19031 361 18 : : PUNCT bracis-19031 362 1 global global ADJ bracis-19031 362 2 optimization optimization NOUN bracis-19031 362 3 using use VERB bracis-19031 362 4 interval interval NOUN bracis-19031 362 5 analysis analysis NOUN bracis-19031 362 6 . . PUNCT bracis-19031 363 1 monographs monograph NOUN bracis-19031 363 2 and and CCONJ bracis-19031 363 3 textbooks textbook NOUN bracis-19031 363 4 in in ADP bracis-19031 363 5 pure pure ADJ bracis-19031 363 6 and and CCONJ bracis-19031 363 7 applied applied ADJ bracis-19031 363 8 mathematics mathematic NOUN bracis-19031 363 9 , , PUNCT bracis-19031 363 10 new new PROPN bracis-19031 363 11 york york PROPN bracis-19031 363 12 ( ( PUNCT bracis-19031 363 13 2004 2004 NUM bracis-19031 363 14 ) ) PUNCT bracis-19031 363 15 google google PROPN bracis-19031 363 16 scholar scholar NOUN bracis-19031 363 17     SPACE bracis-19031 363 18 hellwig hellwig PROPN bracis-19031 363 19 , , PUNCT bracis-19031 363 20 m. m. NOUN bracis-19031 363 21 , , PUNCT bracis-19031 363 22 beyer beyer PROPN bracis-19031 363 23 , , PUNCT bracis-19031 363 24 h.g h.g PROPN bracis-19031 363 25 . . PROPN bracis-19031 363 26 : : PUNCT bracis-19031 364 1 a a DET bracis-19031 364 2 matrix matrix NOUN bracis-19031 364 3 adaptation adaptation NOUN bracis-19031 364 4 evolution evolution NOUN bracis-19031 364 5 strategy strategy NOUN bracis-19031 364 6 for for ADP bracis-19031 364 7 constrained constrain VERB bracis-19031 364 8 real real ADJ bracis-19031 364 9 - - PUNCT bracis-19031 364 10 parameter parameter NOUN bracis-19031 364 11 optimization optimization NOUN bracis-19031 364 12 . . PUNCT bracis-19031 365 1 in in ADP bracis-19031 365 2 : : PUNCT bracis-19031 365 3 2018 2018 NUM bracis-19031 365 4 ieee ieee NOUN bracis-19031 365 5 congress congress PROPN bracis-19031 365 6 on on ADP bracis-19031 365 7 evolutionary evolutionary ADJ bracis-19031 365 8 computation computation NOUN bracis-19031 365 9 ( ( PUNCT bracis-19031 365 10 cec cec PROPN bracis-19031 365 11 ) ) PUNCT bracis-19031 365 12 , , PUNCT bracis-19031 365 13 pp pp PROPN bracis-19031 365 14 . . PUNCT bracis-19031 366 1 1–8 1–8 X bracis-19031 366 2 . . PUNCT bracis-19031 366 3 ieee ieee PROPN bracis-19031 366 4 ( ( PUNCT bracis-19031 366 5 2018 2018 NUM bracis-19031 366 6 ) ) PUNCT bracis-19031 366 7 google google PROPN bracis-19031 366 8 scholar scholar NOUN bracis-19031 366 9     SPACE bracis-19031 366 10 iorio iorio NOUN bracis-19031 366 11 , , PUNCT bracis-19031 366 12 a.w a.w PROPN bracis-19031 366 13 . . PROPN bracis-19031 366 14 , , PUNCT bracis-19031 366 15 li li PROPN bracis-19031 366 16 , , PUNCT bracis-19031 366 17 x. x. NOUN bracis-19031 366 18 : : PUNCT bracis-19031 366 19 solving solve VERB bracis-19031 366 20 rotated rotate VERB bracis-19031 366 21 multi multi ADJ bracis-19031 366 22 - - ADJ bracis-19031 366 23 objective objective ADJ bracis-19031 366 24 optimization optimization NOUN bracis-19031 366 25 problems problem NOUN bracis-19031 366 26 using use VERB bracis-19031 366 27 differential differential ADJ bracis-19031 366 28 evolution evolution NOUN bracis-19031 366 29 . . PUNCT bracis-19031 367 1 in in ADP bracis-19031 367 2 : : PUNCT bracis-19031 367 3 webb webb PROPN bracis-19031 367 4 , , PUNCT bracis-19031 367 5 g.i g.i PROPN bracis-19031 367 6 . . PROPN bracis-19031 367 7 , , PUNCT bracis-19031 367 8 yu yu PROPN bracis-19031 367 9 , , PUNCT bracis-19031 367 10 x. x. NOUN bracis-19031 367 11 ( ( PUNCT bracis-19031 367 12 eds ed NOUN bracis-19031 367 13 . . PUNCT bracis-19031 367 14 ) ) PUNCT bracis-19031 367 15 ai ai VERB bracis-19031 367 16 2004 2004 NUM bracis-19031 367 17 . . PUNCT bracis-19031 368 1 lncs lncs PROPN bracis-19031 368 2 ( ( PUNCT bracis-19031 368 3 lnai lnai ADJ bracis-19031 368 4 ) ) PUNCT bracis-19031 368 5 , , PUNCT bracis-19031 368 6 vol vol NOUN bracis-19031 368 7 . . NOUN bracis-19031 368 8 3339 3339 NUM bracis-19031 368 9 , , PUNCT bracis-19031 368 10 pp pp ADV bracis-19031 368 11 . . PUNCT bracis-19031 369 1 861–872 861–872 NUM bracis-19031 369 2 . . PUNCT bracis-19031 369 3 springer springer PROPN bracis-19031 369 4 , , PUNCT bracis-19031 369 5 heidelberg heidelberg PROPN bracis-19031 369 6 ( ( PUNCT bracis-19031 369 7 2004 2004 NUM bracis-19031 369 8 ) ) PUNCT bracis-19031 369 9 . . PUNCT bracis-19031 370 1 https://doi.org/10.1007/978-3-540-30549-1_74 https://doi.org/10.1007/978-3-540-30549-1_74 PROPN bracis-19031 370 2 chapter chapter NOUN bracis-19031 370 3     SPACE bracis-19031 370 4 google google PROPN bracis-19031 370 5 scholar scholar NOUN bracis-19031 370 6     SPACE bracis-19031 370 7 jou jou PROPN bracis-19031 370 8 , , PUNCT bracis-19031 370 9 y.c y.c PROPN bracis-19031 370 10 . . PROPN bracis-19031 370 11 , , PUNCT bracis-19031 370 12 wang wang PROPN bracis-19031 370 13 , , PUNCT bracis-19031 370 14 s.y s.y PROPN bracis-19031 370 15 . . PROPN bracis-19031 370 16 , , PUNCT bracis-19031 370 17 yeh yeh PROPN bracis-19031 370 18 , , PUNCT bracis-19031 370 19 j.f j.f PROPN bracis-19031 370 20 . . PROPN bracis-19031 370 21 , , PUNCT bracis-19031 370 22 chiang chiang PROPN bracis-19031 370 23 , , PUNCT bracis-19031 370 24 t.c t.c PROPN bracis-19031 370 25 . . PROPN bracis-19031 370 26 : : PUNCT bracis-19031 371 1 multi multi ADJ bracis-19031 371 2 - - ADJ bracis-19031 371 3 population population ADJ bracis-19031 371 4 modified modify VERB bracis-19031 371 5 l l NOUN bracis-19031 371 6 - - NOUN bracis-19031 371 7 shade shade NOUN bracis-19031 371 8 for for ADP bracis-19031 371 9 single single ADJ bracis-19031 371 10 objective objective NOUN bracis-19031 371 11 bound bind VERB bracis-19031 371 12 constrained constrained ADJ bracis-19031 371 13 optimization optimization NOUN bracis-19031 371 14 . . PUNCT bracis-19031 372 1 in in ADP bracis-19031 372 2 : : PUNCT bracis-19031 372 3 2020 2020 NUM bracis-19031 372 4 ieee ieee PROPN bracis-19031 372 5 congress congress PROPN bracis-19031 372 6 on on ADP bracis-19031 372 7 evolutionary evolutionary ADJ bracis-19031 372 8 computation computation NOUN bracis-19031 372 9 ( ( PUNCT bracis-19031 372 10 cec cec PROPN bracis-19031 372 11 ) ) PUNCT bracis-19031 372 12 , , PUNCT bracis-19031 372 13 pp pp PROPN bracis-19031 372 14 . . PUNCT bracis-19031 373 1 1–8 1–8 X bracis-19031 373 2 . . PUNCT bracis-19031 373 3 ieee ieee PROPN bracis-19031 373 4 ( ( PUNCT bracis-19031 373 5 2020 2020 NUM bracis-19031 373 6 ) ) PUNCT bracis-19031 373 7 google google PROPN bracis-19031 373 8 scholar scholar NOUN bracis-19031 373 9     SPACE bracis-19031 373 10 kumar kumar PROPN bracis-19031 373 11 , , PUNCT bracis-19031 373 12 a. a. PROPN bracis-19031 373 13 , , PUNCT bracis-19031 373 14 wu wu PROPN bracis-19031 373 15 , , PUNCT bracis-19031 373 16 g. g. PROPN bracis-19031 373 17 , , PUNCT bracis-19031 373 18 ali ali PROPN bracis-19031 373 19 , , PUNCT bracis-19031 373 20 m.z m.z PROPN bracis-19031 373 21 . . PROPN bracis-19031 373 22 , , PUNCT bracis-19031 373 23 mallipeddi mallipeddi PROPN bracis-19031 373 24 , , PUNCT bracis-19031 373 25 r. r. PROPN bracis-19031 373 26 , , PUNCT bracis-19031 373 27 suganthan suganthan PROPN bracis-19031 373 28 , , PUNCT bracis-19031 373 29 p.n p.n PROPN bracis-19031 373 30 . . PROPN bracis-19031 373 31 , , PUNCT bracis-19031 373 32 das das PROPN bracis-19031 373 33 , , PUNCT bracis-19031 373 34 s. s. PROPN bracis-19031 373 35 : : PUNCT bracis-19031 373 36 a a DET bracis-19031 373 37 test test NOUN bracis-19031 373 38 - - PUNCT bracis-19031 373 39 suite suite NOUN bracis-19031 373 40 of of ADP bracis-19031 373 41 non non ADJ bracis-19031 373 42 - - ADJ bracis-19031 373 43 convex convex ADJ bracis-19031 373 44 constrained constrain VERB bracis-19031 373 45 optimization optimization NOUN bracis-19031 373 46 problems problem NOUN bracis-19031 373 47 from from ADP bracis-19031 373 48 the the DET bracis-19031 373 49 real real ADJ bracis-19031 373 50 - - PUNCT bracis-19031 373 51 world world NOUN bracis-19031 373 52 and and CCONJ bracis-19031 373 53 some some DET bracis-19031 373 54 baseline baseline NOUN bracis-19031 373 55 results result NOUN bracis-19031 373 56 . . PUNCT bracis-19031 374 1 swar swar PROPN bracis-19031 374 2 evol evol PROPN bracis-19031 374 3 . . PUNCT bracis-19031 375 1 comput comput NOUN bracis-19031 375 2 . . PUNCT bracis-19031 376 1 56 56 NUM bracis-19031 376 2 , , PUNCT bracis-19031 376 3 100693 100693 NUM bracis-19031 376 4 ( ( PUNCT bracis-19031 376 5 2020 2020 NUM bracis-19031 376 6 ) ) PUNCT bracis-19031 376 7 google google PROPN bracis-19031 376 8 scholar scholar NOUN bracis-19031 376 9     SPACE bracis-19031 376 10 mackworth mackworth NOUN bracis-19031 376 11 , , PUNCT bracis-19031 376 12 a.k a.k PROPN bracis-19031 376 13 . . PUNCT bracis-19031 376 14 : : PUNCT bracis-19031 376 15 on on ADP bracis-19031 376 16 reading read VERB bracis-19031 376 17 sketch sketch NOUN bracis-19031 376 18 maps map NOUN bracis-19031 376 19 . . PUNCT bracis-19031 377 1 in in ADP bracis-19031 377 2 : : PUNCT bracis-19031 377 3 proceedings proceeding NOUN bracis-19031 377 4 of of ADP bracis-19031 377 5 the the DET bracis-19031 377 6 fifth fifth ADJ bracis-19031 377 7 international international ADJ bracis-19031 377 8 joint joint ADJ bracis-19031 377 9 conference conference NOUN bracis-19031 377 10 on on ADP bracis-19031 377 11 artificial artificial ADJ bracis-19031 377 12 intelligence intelligence NOUN bracis-19031 377 13 , , PUNCT bracis-19031 377 14 ijcai ijcai VERB bracis-19031 377 15 1977 1977 NUM bracis-19031 377 16 , , PUNCT bracis-19031 377 17 pp pp ADP bracis-19031 377 18 . . PUNCT bracis-19031 378 1 598–606 598–606 NUM bracis-19031 378 2 . . PUNCT bracis-19031 378 3 mit mit PROPN bracis-19031 378 4 , , PUNCT bracis-19031 378 5 cambridge cambridge PROPN bracis-19031 378 6 , , PUNCT bracis-19031 378 7 ma ma PROPN bracis-19031 378 8 ( ( PUNCT bracis-19031 378 9 1977 1977 NUM bracis-19031 378 10 ) ) PUNCT bracis-19031 378 11 google google PROPN bracis-19031 378 12 scholar scholar NOUN bracis-19031 378 13     SPACE bracis-19031 378 14 moore moore PROPN bracis-19031 378 15 , , PUNCT bracis-19031 378 16 r.e r.e PROPN bracis-19031 378 17 . . PROPN bracis-19031 378 18 : : PUNCT bracis-19031 379 1 interval interval NOUN bracis-19031 379 2 analysis analysis NOUN bracis-19031 379 3 . . PUNCT bracis-19031 380 1 prentice prentice NOUN bracis-19031 380 2 - - PUNCT bracis-19031 380 3 hall hall NOUN bracis-19031 380 4 englewood englewood PROPN bracis-19031 380 5 cliffs cliffs PROPN bracis-19031 380 6 , , PUNCT bracis-19031 380 7 n.j n.j PROPN bracis-19031 380 8 ( ( PUNCT bracis-19031 380 9 1966 1966 NUM bracis-19031 380 10 ) ) PUNCT bracis-19031 380 11 google google NOUN bracis-19031 380 12 scholar scholar NOUN bracis-19031 380 13     SPACE bracis-19031 380 14 poláková poláková NOUN bracis-19031 380 15 , , PUNCT bracis-19031 380 16 r. r. PROPN bracis-19031 380 17 : : PUNCT bracis-19031 381 1 l l NOUN bracis-19031 381 2 - - NOUN bracis-19031 381 3 shade shade NOUN bracis-19031 381 4 with with ADP bracis-19031 381 5 competing compete VERB bracis-19031 381 6 strategies strategy NOUN bracis-19031 381 7 applied apply VERB bracis-19031 381 8 to to ADP bracis-19031 381 9 constrained constrained ADJ bracis-19031 381 10 optimization optimization NOUN bracis-19031 381 11 . . PUNCT bracis-19031 382 1 in in ADP bracis-19031 382 2 : : PUNCT bracis-19031 382 3 2017 2017 NUM bracis-19031 382 4 ieee ieee NOUN bracis-19031 382 5 congress congress PROPN bracis-19031 382 6 on on ADP bracis-19031 382 7 evolutionary evolutionary ADJ bracis-19031 382 8 computation computation NOUN bracis-19031 382 9 ( ( PUNCT bracis-19031 382 10 cec cec PROPN bracis-19031 382 11 ) ) PUNCT bracis-19031 382 12 , , PUNCT bracis-19031 382 13 pp pp PROPN bracis-19031 382 14 . . PUNCT bracis-19031 382 15 1683–1689 1683–1689 NUM bracis-19031 382 16 . . PUNCT bracis-19031 383 1 ieee ieee NOUN bracis-19031 383 2 ( ( PUNCT bracis-19031 383 3 2017 2017 NUM bracis-19031 383 4 ) ) PUNCT bracis-19031 383 5 google google PROPN bracis-19031 383 6 scholar scholar NOUN bracis-19031 383 7     SPACE bracis-19031 383 8 sallam sallam PROPN bracis-19031 383 9 , , PUNCT bracis-19031 383 10 k.m k.m PROPN bracis-19031 383 11 . . PROPN bracis-19031 383 12 , , PUNCT bracis-19031 383 13 elsayed elsaye VERB bracis-19031 383 14 , , PUNCT bracis-19031 383 15 s.m s.m PROPN bracis-19031 383 16 . . PROPN bracis-19031 383 17 , , PUNCT bracis-19031 383 18 chakrabortty chakrabortty PROPN bracis-19031 383 19 , , PUNCT bracis-19031 383 20 r.k r.k PROPN bracis-19031 383 21 . . PROPN bracis-19031 383 22 , , PUNCT bracis-19031 383 23 ryan ryan PROPN bracis-19031 383 24 , , PUNCT bracis-19031 383 25 m.j m.j PROPN bracis-19031 383 26 . . PROPN bracis-19031 383 27 : : PUNCT bracis-19031 384 1 improved improve VERB bracis-19031 384 2 multi multi ADJ bracis-19031 384 3 - - ADJ bracis-19031 384 4 operator operator ADJ bracis-19031 384 5 differential differential ADJ bracis-19031 384 6 evolution evolution NOUN bracis-19031 384 7 algorithm algorithm NOUN bracis-19031 384 8 for for ADP bracis-19031 384 9 solving solve VERB bracis-19031 384 10 unconstrained unconstrained ADJ bracis-19031 384 11 problems problem NOUN bracis-19031 384 12 . . PUNCT bracis-19031 385 1 in in ADP bracis-19031 385 2 : : PUNCT bracis-19031 385 3 2020 2020 NUM bracis-19031 385 4 ieee ieee PROPN bracis-19031 385 5 congress congress PROPN bracis-19031 385 6 on on ADP bracis-19031 385 7 evolutionary evolutionary ADJ bracis-19031 385 8 computation computation NOUN bracis-19031 385 9 ( ( PUNCT bracis-19031 385 10 cec cec PROPN bracis-19031 385 11 ) ) PUNCT bracis-19031 385 12 , , PUNCT bracis-19031 385 13 pp pp PROPN bracis-19031 385 14 . . PUNCT bracis-19031 386 1 1–8 1–8 X bracis-19031 386 2 . . PUNCT bracis-19031 386 3 ieee ieee PROPN bracis-19031 386 4 ( ( PUNCT bracis-19031 386 5 2020 2020 NUM bracis-19031 386 6 ) ) PUNCT bracis-19031 386 7 google google PROPN bracis-19031 386 8 scholar scholar NOUN bracis-19031 386 9     SPACE bracis-19031 386 10 shcherbina shcherbina NOUN bracis-19031 386 11 , , PUNCT bracis-19031 386 12 o. o. PROPN bracis-19031 386 13 , , PUNCT bracis-19031 386 14 neumaier neumaier NOUN bracis-19031 386 15 , , PUNCT bracis-19031 386 16 a. a. NOUN bracis-19031 386 17 , , PUNCT bracis-19031 386 18 sam sam PROPN bracis-19031 386 19 - - PUNCT bracis-19031 386 20 haroud haroud PROPN bracis-19031 386 21 , , PUNCT bracis-19031 386 22 d. d. PROPN bracis-19031 386 23 , , PUNCT bracis-19031 386 24 vu vu PROPN bracis-19031 386 25 , , PUNCT bracis-19031 386 26 x.-h x.-h PROPN bracis-19031 386 27 . . PUNCT bracis-19031 386 28 , , PUNCT bracis-19031 386 29 nguyen nguyen NOUN bracis-19031 386 30 , , PUNCT bracis-19031 386 31 t.-v t.-v PROPN bracis-19031 386 32 . . PUNCT bracis-19031 386 33 : : PUNCT bracis-19031 387 1 benchmarking benchmarke VERB bracis-19031 387 2 global global ADJ bracis-19031 387 3 optimization optimization NOUN bracis-19031 387 4 and and CCONJ bracis-19031 387 5 constraint constraint NOUN bracis-19031 387 6 satisfaction satisfaction NOUN bracis-19031 387 7 codes code NOUN bracis-19031 387 8 . . PUNCT bracis-19031 388 1 in in ADP bracis-19031 388 2 : : PUNCT bracis-19031 388 3 bliek bliek X bracis-19031 388 4 , , PUNCT bracis-19031 388 5 c. c. PROPN bracis-19031 388 6 , , PUNCT bracis-19031 388 7 jermann jermann PROPN bracis-19031 388 8 , , PUNCT bracis-19031 388 9 c. c. NOUN bracis-19031 388 10 , , PUNCT bracis-19031 388 11 neumaier neumaier NOUN bracis-19031 388 12 , , PUNCT bracis-19031 388 13 a. a. NOUN bracis-19031 388 14 ( ( PUNCT bracis-19031 388 15 eds eds PROPN bracis-19031 388 16 . . PUNCT bracis-19031 388 17 ) ) PUNCT bracis-19031 389 1 cocos cocos PROPN bracis-19031 389 2 2002 2002 NUM bracis-19031 389 3 . . PUNCT bracis-19031 390 1 lncs lncs PROPN bracis-19031 390 2 , , PUNCT bracis-19031 390 3 vol vol NOUN bracis-19031 390 4 . . PROPN bracis-19031 390 5 2861 2861 NUM bracis-19031 390 6 , , PUNCT bracis-19031 390 7 pp pp ADJ bracis-19031 390 8 . . PUNCT bracis-19031 391 1 211–222 211–222 NUM bracis-19031 391 2 . . PUNCT bracis-19031 391 3 springer springer NOUN bracis-19031 391 4 , , PUNCT bracis-19031 391 5 heidelberg heidelberg PROPN bracis-19031 391 6 ( ( PUNCT bracis-19031 391 7 2003 2003 NUM bracis-19031 391 8 ) ) PUNCT bracis-19031 391 9 . . PUNCT bracis-19031 392 1 https://doi.org/10.1007/978-3-540-39901-8_16 https://doi.org/10.1007/978-3-540-39901-8_16 PROPN bracis-19031 392 2 chapter chapter NOUN bracis-19031 392 3     SPACE bracis-19031 392 4 math math NOUN bracis-19031 392 5     SPACE bracis-19031 392 6 google google PROPN bracis-19031 392 7 scholar scholar NOUN bracis-19031 392 8     SPACE bracis-19031 392 9 storn storn ADJ bracis-19031 392 10 , , PUNCT bracis-19031 392 11 r. r. PROPN bracis-19031 392 12 , , PUNCT bracis-19031 392 13 price price NOUN bracis-19031 392 14 , , PUNCT bracis-19031 392 15 k. k. NOUN bracis-19031 392 16 : : PUNCT bracis-19031 392 17 differential differential VERB bracis-19031 392 18 evolution evolution NOUN bracis-19031 392 19 a a DET bracis-19031 392 20 simple simple ADJ bracis-19031 392 21 and and CCONJ bracis-19031 392 22 efficient efficient ADJ bracis-19031 392 23 heuristic heuristic NOUN bracis-19031 392 24 for for ADP bracis-19031 392 25 global global ADJ bracis-19031 392 26 optimization optimization NOUN bracis-19031 392 27 over over ADP bracis-19031 392 28 continuous continuous ADJ bracis-19031 392 29 spaces space NOUN bracis-19031 392 30 . . PUNCT bracis-19031 393 1 j. j. PROPN bracis-19031 393 2 glob glob PROPN bracis-19031 393 3 . . PROPN bracis-19031 393 4 optim optim PROPN bracis-19031 393 5 . . PUNCT bracis-19031 394 1 11(4 11(4 NUM bracis-19031 394 2 ) ) PUNCT bracis-19031 394 3 , , PUNCT bracis-19031 395 1 341–359 341–359 NUM bracis-19031 395 2 ( ( PUNCT bracis-19031 395 3 1997 1997 NUM bracis-19031 395 4 ) ) PUNCT bracis-19031 395 5 article article NOUN bracis-19031 395 6     SPACE bracis-19031 395 7 mathscinet mathscinet NOUN bracis-19031 395 8     SPACE bracis-19031 395 9 google google PROPN bracis-19031 395 10 scholar scholar NOUN bracis-19031 395 11     SPACE bracis-19031 395 12 takahama takahama NOUN bracis-19031 395 13 , , PUNCT bracis-19031 395 14 t. t. PROPN bracis-19031 395 15 , , PUNCT bracis-19031 395 16 sakai sakai PROPN bracis-19031 395 17 , , PUNCT bracis-19031 395 18 s. s. PROPN bracis-19031 395 19 : : PUNCT bracis-19031 395 20 constrained constrain VERB bracis-19031 395 21 optimization optimization NOUN bracis-19031 395 22 by by ADP bracis-19031 395 23 the the DET bracis-19031 395 24 \(\varepsilon \(\varepsilon NOUN bracis-19031 395 25 \ \ NOUN bracis-19031 395 26 ) ) PUNCT bracis-19031 395 27 constrained constrain VERB bracis-19031 395 28 differential differential ADJ bracis-19031 395 29 evolution evolution NOUN bracis-19031 395 30 with with ADP bracis-19031 395 31 an an DET bracis-19031 395 32 archive archive NOUN bracis-19031 395 33 and and CCONJ bracis-19031 395 34 gradient gradient NOUN bracis-19031 395 35 - - PUNCT bracis-19031 395 36 based base VERB bracis-19031 395 37 mutation mutation NOUN bracis-19031 395 38 . . PUNCT bracis-19031 396 1 in in ADP bracis-19031 396 2 : : PUNCT bracis-19031 396 3 2010 2010 NUM bracis-19031 396 4 ieee ieee NOUN bracis-19031 396 5 congress congress PROPN bracis-19031 396 6 on on ADP bracis-19031 396 7 evolutionary evolutionary ADJ bracis-19031 396 8 computation computation NOUN bracis-19031 396 9 , , PUNCT bracis-19031 396 10 pp pp ADJ bracis-19031 396 11 . . PUNCT bracis-19031 397 1 1–9 1–9 NOUN bracis-19031 397 2 . . NOUN bracis-19031 397 3 ieee ieee PROPN bracis-19031 397 4 ( ( PUNCT bracis-19031 397 5 2010 2010 NUM bracis-19031 397 6 ) ) PUNCT bracis-19031 397 7 google google PROPN bracis-19031 397 8 scholar scholar NOUN bracis-19031 397 9     SPACE bracis-19031 397 10 tanabe tanabe PROPN bracis-19031 397 11 , , PUNCT bracis-19031 397 12 r. r. PROPN bracis-19031 397 13 , , PUNCT bracis-19031 397 14 fukunaga fukunaga PROPN bracis-19031 397 15 , , PUNCT bracis-19031 397 16 a.s a.s PROPN bracis-19031 397 17 . . PROPN bracis-19031 397 18 : : PUNCT bracis-19031 397 19 improving improve VERB bracis-19031 397 20 the the DET bracis-19031 397 21 search search NOUN bracis-19031 397 22 performance performance NOUN bracis-19031 397 23 of of ADP bracis-19031 397 24 shade shade NOUN bracis-19031 397 25 using use VERB bracis-19031 397 26 linear linear ADJ bracis-19031 397 27 population population NOUN bracis-19031 397 28 size size NOUN bracis-19031 397 29 reduction reduction NOUN bracis-19031 397 30 . . PUNCT bracis-19031 398 1 in in ADP bracis-19031 398 2 : : PUNCT bracis-19031 398 3 2014 2014 NUM bracis-19031 398 4 ieee ieee PROPN bracis-19031 398 5 congress congress PROPN bracis-19031 398 6 on on ADP bracis-19031 398 7 evolutionary evolutionary ADJ bracis-19031 398 8 computation computation NOUN bracis-19031 398 9 ( ( PUNCT bracis-19031 398 10 cec cec PROPN bracis-19031 398 11 ) ) PUNCT bracis-19031 398 12 , , PUNCT bracis-19031 398 13 pp pp ADP bracis-19031 398 14 . . PUNCT bracis-19031 398 15 1658–1665 1658–1665 NUM bracis-19031 398 16 . . PUNCT bracis-19031 399 1 ieee ieee NOUN bracis-19031 399 2 ( ( PUNCT bracis-19031 399 3 2014 2014 NUM bracis-19031 399 4 ) ) PUNCT bracis-19031 399 5 google google PROPN bracis-19031 399 6 scholar scholar NOUN bracis-19031 399 7     SPACE bracis-19031 399 8 trivedi trivedi PROPN bracis-19031 399 9 , , PUNCT bracis-19031 399 10 a. a. NOUN bracis-19031 399 11 , , PUNCT bracis-19031 399 12 sanyal sanyal NOUN bracis-19031 399 13 , , PUNCT bracis-19031 399 14 k. k. PROPN bracis-19031 399 15 , , PUNCT bracis-19031 399 16 verma verma PROPN bracis-19031 399 17 , , PUNCT bracis-19031 399 18 p. p. NOUN bracis-19031 399 19 , , PUNCT bracis-19031 399 20 srinivasan srinivasan NOUN bracis-19031 399 21 , , PUNCT bracis-19031 399 22 d. d. PROPN bracis-19031 399 23 : : PUNCT bracis-19031 399 24 a a DET bracis-19031 399 25 unified unify VERB bracis-19031 399 26 differential differential NOUN bracis-19031 399 27 evolution evolution NOUN bracis-19031 399 28 algorithm algorithm NOUN bracis-19031 399 29 for for ADP bracis-19031 399 30 constrained constrain VERB bracis-19031 399 31 optimization optimization NOUN bracis-19031 399 32 problems problem NOUN bracis-19031 399 33 . . PUNCT bracis-19031 400 1 in in ADP bracis-19031 400 2 : : PUNCT bracis-19031 400 3 2017 2017 NUM bracis-19031 400 4 ieee ieee NOUN bracis-19031 400 5 congress congress PROPN bracis-19031 400 6 on on ADP bracis-19031 400 7 evolutionary evolutionary ADJ bracis-19031 400 8 computation computation NOUN bracis-19031 400 9 ( ( PUNCT bracis-19031 400 10 cec cec PROPN bracis-19031 400 11 ) ) PUNCT bracis-19031 400 12 , , PUNCT bracis-19031 400 13 pp pp PROPN bracis-19031 400 14 . . PUNCT bracis-19031 400 15 1231–1238 1231–1238 NUM bracis-19031 400 16 . . PUNCT bracis-19031 401 1 ieee ieee NOUN bracis-19031 401 2 ( ( PUNCT bracis-19031 401 3 2017 2017 NUM bracis-19031 401 4 ) ) PUNCT bracis-19031 401 5 google google PROPN bracis-19031 401 6 scholar scholar NOUN bracis-19031 401 7     SPACE bracis-19031 401 8 trivedi trivedi PROPN bracis-19031 401 9 , , PUNCT bracis-19031 401 10 a. a. NOUN bracis-19031 401 11 , , PUNCT bracis-19031 401 12 srinivasan srinivasan NOUN bracis-19031 401 13 , , PUNCT bracis-19031 401 14 d. d. PROPN bracis-19031 401 15 , , PUNCT bracis-19031 401 16 biswas biswas PROPN bracis-19031 401 17 , , PUNCT bracis-19031 401 18 n. n. NOUN bracis-19031 401 19 : : PUNCT bracis-19031 401 20 an an DET bracis-19031 401 21 improved improve VERB bracis-19031 401 22 unified unified ADJ bracis-19031 401 23 differential differential NOUN bracis-19031 401 24 evolution evolution NOUN bracis-19031 401 25 algorithm algorithm NOUN bracis-19031 401 26 for for ADP bracis-19031 401 27 constrained constrain VERB bracis-19031 401 28 optimization optimization NOUN bracis-19031 401 29 problems problem NOUN bracis-19031 401 30 . . PUNCT bracis-19031 402 1 ieee ieee NOUN bracis-19031 402 2 ( ( PUNCT bracis-19031 402 3 2018 2018 NUM bracis-19031 402 4 ) ) PUNCT bracis-19031 402 5 google google PROPN bracis-19031 402 6 scholar scholar NOUN bracis-19031 402 7     SPACE bracis-19031 402 8 tvrdík tvrdík NOUN bracis-19031 402 9 , , PUNCT bracis-19031 402 10 j. j. PROPN bracis-19031 402 11 , , PUNCT bracis-19031 402 12 poláková poláková PROPN bracis-19031 402 13 , , PUNCT bracis-19031 402 14 r. r. PROPN bracis-19031 402 15 : : PUNCT bracis-19031 402 16 a a DET bracis-19031 402 17 simple simple ADJ bracis-19031 402 18 framework framework NOUN bracis-19031 402 19 for for ADP bracis-19031 402 20 constrained constrain VERB bracis-19031 402 21 problems problem NOUN bracis-19031 402 22 with with ADP bracis-19031 402 23 application application NOUN bracis-19031 402 24 of of ADP bracis-19031 402 25 l l NOUN bracis-19031 402 26 - - NOUN bracis-19031 402 27 shade44 shade44 NOUN bracis-19031 402 28 and and CCONJ bracis-19031 402 29 ide ide NOUN bracis-19031 402 30 . . PUNCT bracis-19031 403 1 in in ADP bracis-19031 403 2 : : PUNCT bracis-19031 403 3 2017 2017 NUM bracis-19031 403 4 ieee ieee NOUN bracis-19031 403 5 congress congress PROPN bracis-19031 403 6 on on ADP bracis-19031 403 7 evolutionary evolutionary ADJ bracis-19031 403 8 computation computation NOUN bracis-19031 403 9 ( ( PUNCT bracis-19031 403 10 cec cec PROPN bracis-19031 403 11 ) ) PUNCT bracis-19031 403 12 , , PUNCT bracis-19031 403 13 pp pp ADJ bracis-19031 403 14 . . PUNCT bracis-19031 403 15 1436–1443 1436–1443 NUM bracis-19031 403 16 . . PUNCT bracis-19031 403 17 ieee ieee NOUN bracis-19031 403 18 ( ( PUNCT bracis-19031 403 19 2017 2017 NUM bracis-19031 403 20 ) ) PUNCT bracis-19031 403 21 google google NOUN bracis-19031 403 22 scholar scholar NOUN bracis-19031 403 23     SPACE bracis-19031 403 24 vanaret vanaret NOUN bracis-19031 403 25 , , PUNCT bracis-19031 403 26 c. c. NOUN bracis-19031 403 27 , , PUNCT bracis-19031 403 28 gotteland gotteland NOUN bracis-19031 403 29 , , PUNCT bracis-19031 403 30 j.b j.b PROPN bracis-19031 403 31 . . PROPN bracis-19031 403 32 , , PUNCT bracis-19031 403 33 durand durand PROPN bracis-19031 403 34 , , PUNCT bracis-19031 403 35 n. n. NOUN bracis-19031 403 36 , , PUNCT bracis-19031 403 37 alliot alliot NOUN bracis-19031 403 38 , , PUNCT bracis-19031 403 39 j.m j.m PROPN bracis-19031 403 40 . . PROPN bracis-19031 403 41 : : PUNCT bracis-19031 403 42 preventing prevent VERB bracis-19031 403 43 premature premature ADJ bracis-19031 403 44 convergence convergence NOUN bracis-19031 403 45 and and CCONJ bracis-19031 403 46 proving prove VERB bracis-19031 403 47 the the DET bracis-19031 403 48 optimality optimality NOUN bracis-19031 403 49 in in ADP bracis-19031 403 50 evolutionary evolutionary ADJ bracis-19031 403 51 algorithms algorithm NOUN bracis-19031 403 52 . . PUNCT bracis-19031 404 1 in in ADP bracis-19031 404 2 : : PUNCT bracis-19031 404 3 international international ADJ bracis-19031 404 4 conference conference NOUN bracis-19031 404 5 on on ADP bracis-19031 404 6 artificial artificial ADJ bracis-19031 404 7 evolution evolution NOUN bracis-19031 404 8 , , PUNCT bracis-19031 404 9 pp pp ADJ bracis-19031 404 10 . . PUNCT bracis-19031 405 1 29–40 29–40 NUM bracis-19031 405 2 . . X bracis-19031 405 3 springer springer NOUN bracis-19031 405 4 ( ( PUNCT bracis-19031 405 5 2013 2013 NUM bracis-19031 405 6 ) ) PUNCT bracis-19031 405 7 google google PROPN bracis-19031 405 8 scholar scholar NOUN bracis-19031 405 9     SPACE bracis-19031 405 10 wu wu PROPN bracis-19031 405 11 , , PUNCT bracis-19031 405 12 g. g. PROPN bracis-19031 405 13 , , PUNCT bracis-19031 405 14 mallipeddi mallipeddi PROPN bracis-19031 405 15 , , PUNCT bracis-19031 405 16 r. r. PROPN bracis-19031 405 17 , , PUNCT bracis-19031 405 18 suganthan suganthan PROPN bracis-19031 405 19 , , PUNCT bracis-19031 405 20 p. p. NOUN bracis-19031 405 21 : : PUNCT bracis-19031 405 22 problem problem NOUN bracis-19031 405 23 definitions definition NOUN bracis-19031 405 24 and and CCONJ bracis-19031 405 25 evaluation evaluation NOUN bracis-19031 405 26 criteria criterion NOUN bracis-19031 405 27 for for ADP bracis-19031 405 28 the the DET bracis-19031 405 29 cec cec PROPN bracis-19031 405 30 2017 2017 NUM bracis-19031 405 31 competition competition NOUN bracis-19031 405 32 on on ADP bracis-19031 405 33 constrained constrain VERB bracis-19031 405 34 real real ADJ bracis-19031 405 35 - - PUNCT bracis-19031 405 36 parameter parameter NOUN bracis-19031 405 37 optimization optimization NOUN bracis-19031 405 38 . . PUNCT bracis-19031 406 1 technical technical ADJ bracis-19031 406 2 report report NOUN bracis-19031 406 3 ( ( PUNCT bracis-19031 406 4 2017 2017 NUM bracis-19031 406 5 ) ) PUNCT bracis-19031 406 6 google google PROPN bracis-19031 406 7 scholar scholar NOUN bracis-19031 406 8     SPACE bracis-19031 406 9 zamuda zamuda PROPN bracis-19031 406 10 , , PUNCT bracis-19031 406 11 a. a. NOUN bracis-19031 406 12 : : PUNCT bracis-19031 406 13 adaptive adaptive ADJ bracis-19031 406 14 constraint constraint NOUN bracis-19031 406 15 handling handling NOUN bracis-19031 406 16 and and CCONJ bracis-19031 406 17 success success NOUN bracis-19031 406 18 history history NOUN bracis-19031 406 19 differential differential NOUN bracis-19031 406 20 evolution evolution NOUN bracis-19031 406 21 for for ADP bracis-19031 406 22 cec cec PROPN bracis-19031 406 23 2017 2017 NUM bracis-19031 406 24 constrained constrain VERB bracis-19031 406 25 real real ADJ bracis-19031 406 26 - - PUNCT bracis-19031 406 27 parameter parameter NOUN bracis-19031 406 28 optimization optimization NOUN bracis-19031 406 29 . . PUNCT bracis-19031 407 1 in in ADP bracis-19031 407 2 : : PUNCT bracis-19031 407 3 2017 2017 NUM bracis-19031 407 4 ieee ieee NOUN bracis-19031 407 5 congress congress PROPN bracis-19031 407 6 on on ADP bracis-19031 407 7 evolutionary evolutionary ADJ bracis-19031 407 8 computation computation NOUN bracis-19031 407 9 ( ( PUNCT bracis-19031 407 10 cec cec PROPN bracis-19031 407 11 ) ) PUNCT bracis-19031 407 12 , , PUNCT bracis-19031 407 13 pp pp ADJ bracis-19031 407 14 . . PUNCT bracis-19031 408 1 2443–2450 2443–2450 X bracis-19031 408 2 . . PUNCT bracis-19031 409 1 ieee ieee NOUN bracis-19031 409 2 ( ( PUNCT bracis-19031 409 3 2017 2017 NUM bracis-19031 409 4 ) ) PUNCT bracis-19031 409 5 google google PROPN bracis-19031 409 6 scholar scholar NOUN bracis-19031 409 7     SPACE bracis-19031 409 8 zhang zhang PROPN bracis-19031 409 9 , , PUNCT bracis-19031 409 10 j. j. PROPN bracis-19031 409 11 , , PUNCT bracis-19031 409 12 sanderson sanderson PROPN bracis-19031 409 13 , , PUNCT bracis-19031 409 14 a.c a.c PROPN bracis-19031 409 15 . . PROPN bracis-19031 409 16 : : PUNCT bracis-19031 409 17 jade jade NOUN bracis-19031 409 18 : : PUNCT bracis-19031 409 19 adaptive adaptive ADJ bracis-19031 409 20 differential differential ADJ bracis-19031 409 21 evolution evolution NOUN bracis-19031 409 22 with with ADP bracis-19031 409 23 optional optional ADJ bracis-19031 409 24 external external ADJ bracis-19031 409 25 archive archive NOUN bracis-19031 409 26 . . PUNCT bracis-19031 410 1 ieee ieee PROPN bracis-19031 410 2 trans trans PROPN bracis-19031 410 3 . . PUNCT bracis-19031 411 1 evol evol NOUN bracis-19031 411 2 . . PUNCT bracis-19031 412 1 comput comput NOUN bracis-19031 412 2 . . PUNCT bracis-19031 413 1 13(5 13(5 X bracis-19031 413 2 ) ) PUNCT bracis-19031 413 3 , , PUNCT bracis-19031 413 4 945–958 945–958 NUM bracis-19031 413 5 ( ( PUNCT bracis-19031 413 6 2009 2009 NUM bracis-19031 413 7 ) ) PUNCT bracis-19031 413 8 article article NOUN bracis-19031 413 9     SPACE bracis-19031 413 10 google google PROPN bracis-19031 413 11 scholar scholar NOUN bracis-19031 413 12     SPACE bracis-19031 413 13 download download NOUN bracis-19031 413 14 references reference NOUN bracis-19031 413 15 author author NOUN bracis-19031 413 16 information information NOUN bracis-19031 413 17 authors author NOUN bracis-19031 413 18 and and CCONJ bracis-19031 413 19 affiliations affiliation NOUN bracis-19031 413 20 informatics informatics PROPN bracis-19031 413 21 department department PROPN bracis-19031 413 22 , , PUNCT bracis-19031 413 23 federal federal ADJ bracis-19031 413 24 university university PROPN bracis-19031 413 25 of of ADP bracis-19031 413 26 paraná paraná PROPN bracis-19031 413 27 , , PUNCT bracis-19031 413 28 curitiba curitiba PROPN bracis-19031 413 29 , , PUNCT bracis-19031 413 30 brazil brazil PROPN bracis-19031 413 31 mariane mariane PROPN bracis-19031 413 32 r. r. PROPN bracis-19031 413 33 s. s. PROPN bracis-19031 413 34 cassenote cassenote PROPN bracis-19031 413 35 , , PUNCT bracis-19031 413 36     SPACE bracis-19031 413 37 guilherme guilherme PROPN bracis-19031 413 38 a. a. PROPN bracis-19031 413 39 derenievicz derenievicz PROPN bracis-19031 413 40     SPACE bracis-19031 413 41 & & CCONJ bracis-19031 413 42     SPACE bracis-19031 413 43 fabiano fabiano PROPN bracis-19031 413 44 silva silva NOUN bracis-19031 413 45 authors author NOUN bracis-19031 414 1 mariane mariane PROPN bracis-19031 414 2 r. r. PROPN bracis-19031 414 3 s. s. PROPN bracis-19031 414 4 cassenoteview cassenoteview PROPN bracis-19031 414 5 author author NOUN bracis-19031 414 6 publications publication NOUN bracis-19031 414 7 search search NOUN bracis-19031 414 8 author author NOUN bracis-19031 414 9 on on ADP bracis-19031 414 10 : : PUNCT bracis-19031 414 11 pubmed pubmed PROPN bracis-19031 414 12     SPACE bracis-19031 414 13 google google PROPN bracis-19031 414 14 scholar scholar NOUN bracis-19031 414 15 guilherme guilherme PROPN bracis-19031 414 16 a. a. PROPN bracis-19031 414 17 derenieviczview derenieviczview PROPN bracis-19031 414 18 author author NOUN bracis-19031 414 19 publications publication NOUN bracis-19031 414 20 search search NOUN bracis-19031 414 21 author author NOUN bracis-19031 414 22 on on ADP bracis-19031 414 23 : : PUNCT bracis-19031 414 24 pubmed pubmed PROPN bracis-19031 414 25     SPACE bracis-19031 414 26 google google PROPN bracis-19031 414 27 scholar scholar NOUN bracis-19031 414 28 fabiano fabiano PROPN bracis-19031 414 29 silvaview silvaview NOUN bracis-19031 414 30 author author NOUN bracis-19031 414 31 publications publication NOUN bracis-19031 414 32 search search NOUN bracis-19031 414 33 author author NOUN bracis-19031 414 34 on on ADP bracis-19031 414 35 : : PUNCT bracis-19031 414 36 pubmed pubmed PROPN bracis-19031 414 37     SPACE bracis-19031 414 38 google google PROPN bracis-19031 414 39 scholar scholar NOUN bracis-19031 414 40 corresponding correspond VERB bracis-19031 414 41 author author NOUN bracis-19031 414 42 correspondence correspondence NOUN bracis-19031 414 43 to to ADP bracis-19031 414 44 mariane mariane PROPN bracis-19031 414 45 r. r. PROPN bracis-19031 414 46 s. s. PROPN bracis-19031 414 47 cassenote cassenote PROPN bracis-19031 414 48 . . PUNCT bracis-19031 415 1 editor editor NOUN bracis-19031 415 2 information information NOUN bracis-19031 415 3 editors editor NOUN bracis-19031 415 4 and and CCONJ bracis-19031 415 5 affiliations affiliation NOUN bracis-19031 415 6 universidade universidade PROPN bracis-19031 415 7 federal federal PROPN bracis-19031 415 8 de de X bracis-19031 415 9 sergipe sergipe PROPN bracis-19031 415 10 , , PUNCT bracis-19031 415 11 são são NOUN bracis-19031 415 12 cristóvão cristóvão PROPN bracis-19031 415 13 , , PUNCT bracis-19031 415 14 brazil brazil PROPN bracis-19031 415 15 andré andré PROPN bracis-19031 415 16 britto britto PROPN bracis-19031 415 17 universidade universidade PROPN bracis-19031 415 18 de de PROPN bracis-19031 415 19 são são PROPN bracis-19031 415 20 paulo paulo PROPN bracis-19031 415 21 , , PUNCT bracis-19031 415 22 são são PROPN bracis-19031 415 23 paulo paulo PROPN bracis-19031 415 24 , , PUNCT bracis-19031 415 25 brazil brazil PROPN bracis-19031 415 26 karina karina PROPN bracis-19031 415 27 valdivia valdivia PROPN bracis-19031 415 28 delgado delgado VERB bracis-19031 415 29 rights right NOUN bracis-19031 415 30 and and CCONJ bracis-19031 415 31 permissions permission NOUN bracis-19031 415 32 reprints reprint NOUN bracis-19031 415 33 and and CCONJ bracis-19031 415 34 permissions permission VERB bracis-19031 415 35 copyright copyright NOUN bracis-19031 415 36 information information NOUN bracis-19031 415 37 © © PROPN bracis-19031 415 38 2021 2021 NUM bracis-19031 415 39 springer springer NOUN bracis-19031 415 40 nature nature NOUN bracis-19031 415 41 switzerland switzerland PROPN bracis-19031 415 42 ag ag PROPN bracis-19031 415 43 about about ADP bracis-19031 415 44 this this DET bracis-19031 415 45 paper paper NOUN bracis-19031 415 46 cite cite VERB bracis-19031 415 47 this this DET bracis-19031 415 48 paper paper NOUN bracis-19031 415 49 cassenote cassenote NOUN bracis-19031 415 50 , , PUNCT bracis-19031 415 51 m.r.s m.r.s NOUN bracis-19031 415 52 . . PROPN bracis-19031 415 53 , , PUNCT bracis-19031 415 54 derenievicz derenievicz PROPN bracis-19031 415 55 , , PUNCT bracis-19031 415 56 g.a g.a PROPN bracis-19031 415 57 . . PROPN bracis-19031 415 58 , , PUNCT bracis-19031 415 59 silva silva PROPN bracis-19031 415 60 , , PUNCT bracis-19031 415 61 f. f. PROPN bracis-19031 415 62 ( ( PUNCT bracis-19031 415 63 2021 2021 NUM bracis-19031 415 64 ) ) PUNCT bracis-19031 415 65 . . PUNCT bracis-19031 416 1 i2de i2de PROPN bracis-19031 416 2 : : PUNCT bracis-19031 416 3 improved improved ADJ bracis-19031 416 4 interval interval NOUN bracis-19031 416 5 differential differential NOUN bracis-19031 416 6 evolution evolution NOUN bracis-19031 416 7 for for ADP bracis-19031 416 8 numerical numerical ADJ bracis-19031 416 9 constrained constrain VERB bracis-19031 416 10 global global ADJ bracis-19031 416 11 optimization optimization NOUN bracis-19031 416 12 . . PUNCT bracis-19031 417 1 in in ADP bracis-19031 417 2 : : PUNCT bracis-19031 417 3 britto britto PROPN bracis-19031 417 4 , , PUNCT bracis-19031 417 5 a. a. PROPN bracis-19031 417 6 , , PUNCT bracis-19031 417 7 valdivia valdivia PROPN bracis-19031 417 8 delgado delgado PROPN bracis-19031 417 9 , , PUNCT bracis-19031 417 10 k. k. PROPN bracis-19031 417 11 ( ( PUNCT bracis-19031 417 12 eds eds PROPN bracis-19031 417 13 ) ) PUNCT bracis-19031 417 14 intelligent intelligent ADJ bracis-19031 417 15 systems system NOUN bracis-19031 417 16 . . PUNCT bracis-19031 418 1 bracis bracis PROPN bracis-19031 418 2 2021 2021 NUM bracis-19031 418 3 . . PUNCT bracis-19031 419 1 lecture lecture NOUN bracis-19031 419 2 notes note NOUN bracis-19031 419 3 in in ADP bracis-19031 419 4 computer computer NOUN bracis-19031 419 5 science science NOUN bracis-19031 419 6 ( ( PUNCT bracis-19031 419 7 ) ) PUNCT bracis-19031 419 8 , , PUNCT bracis-19031 419 9 vol vol NOUN bracis-19031 419 10 13073 13073 NUM bracis-19031 419 11 . . PUNCT bracis-19031 420 1 springer springer NOUN bracis-19031 420 2 , , PUNCT bracis-19031 420 3 cham cham PROPN bracis-19031 420 4 . . PUNCT bracis-19031 421 1 https://doi.org/10.1007/978-3-030-91702-9_13 https://doi.org/10.1007/978-3-030-91702-9_13 PRON bracis-19031 421 2 download download NOUN bracis-19031 421 3 citation citation NOUN bracis-19031 421 4 .ris .ris PUNCT bracis-19031 421 5 .enw .enw PROPN bracis-19031 422 1 .bib .bib PUNCT bracis-19031 423 1 doi doi PROPN bracis-19031 423 2 : : PUNCT bracis-19031 423 3 https://doi.org/10.1007/978-3-030-91702-9_13 https://doi.org/10.1007/978-3-030-91702-9_13 PRON bracis-19031 423 4 published publish VERB bracis-19031 423 5 : : PUNCT bracis-19031 423 6 28 28 NUM bracis-19031 423 7 november november PROPN bracis-19031 423 8 2021 2021 NUM bracis-19031 423 9 publisher publisher NOUN bracis-19031 423 10 name name NOUN bracis-19031 423 11 : : PUNCT bracis-19031 423 12 springer springer NOUN bracis-19031 423 13 , , PUNCT bracis-19031 423 14 cham cham PROPN bracis-19031 423 15 print print PROPN bracis-19031 423 16 isbn isbn PROPN bracis-19031 423 17 : : PUNCT bracis-19031 423 18 978 978 NUM bracis-19031 423 19 - - SYM bracis-19031 423 20 3 3 NUM bracis-19031 423 21 - - PUNCT bracis-19031 423 22 030 030 NUM bracis-19031 423 23 - - PUNCT bracis-19031 423 24 91701 91701 NUM bracis-19031 423 25 - - SYM bracis-19031 423 26 2 2 NUM bracis-19031 423 27 online online ADJ bracis-19031 423 28 isbn isbn NOUN bracis-19031 423 29 : : PUNCT bracis-19031 423 30 978 978 NUM bracis-19031 423 31 - - SYM bracis-19031 423 32 3 3 NUM bracis-19031 423 33 - - PUNCT bracis-19031 423 34 030 030 NUM bracis-19031 423 35 - - PUNCT bracis-19031 423 36 91702 91702 NUM bracis-19031 423 37 - - SYM bracis-19031 423 38 9 9 NUM bracis-19031 423 39 ebook ebook NOUN bracis-19031 423 40 packages package NOUN bracis-19031 423 41 : : PUNCT bracis-19031 423 42 computer computer NOUN bracis-19031 423 43 sciencecomputer sciencecomputer NOUN bracis-19031 423 44 science science NOUN bracis-19031 423 45 ( ( PUNCT bracis-19031 423 46 r0 r0 NOUN bracis-19031 423 47 ) ) PUNCT bracis-19031 423 48 share share VERB bracis-19031 423 49 this this DET bracis-19031 423 50 paper paper NOUN bracis-19031 423 51 anyone anyone PRON bracis-19031 423 52 you you PRON bracis-19031 423 53 share share VERB bracis-19031 423 54 the the DET bracis-19031 423 55 following follow VERB bracis-19031 423 56 link link NOUN bracis-19031 423 57 with with ADP bracis-19031 423 58 will will AUX bracis-19031 423 59 be be AUX bracis-19031 423 60 able able ADJ bracis-19031 423 61 to to PART bracis-19031 423 62 read read VERB bracis-19031 423 63 this this DET bracis-19031 423 64 content content NOUN bracis-19031 423 65 : : PUNCT bracis-19031 423 66 get get VERB bracis-19031 423 67 shareable shareable ADJ bracis-19031 423 68 linksorry linksorry NOUN bracis-19031 423 69 , , PUNCT bracis-19031 423 70 a a DET bracis-19031 423 71 shareable shareable ADJ bracis-19031 423 72 link link NOUN bracis-19031 423 73 is be AUX bracis-19031 423 74 not not PART bracis-19031 423 75 currently currently ADV bracis-19031 423 76 available available ADJ bracis-19031 423 77 for for ADP bracis-19031 423 78 this this DET bracis-19031 423 79 article article NOUN bracis-19031 423 80 . . PUNCT bracis-19031 424 1 copy copy VERB bracis-19031 424 2 shareable shareable ADJ bracis-19031 424 3 link link NOUN bracis-19031 424 4 to to PART bracis-19031 424 5 clipboard clipboard NOUN bracis-19031 424 6 provided provide VERB bracis-19031 424 7 by by ADP bracis-19031 424 8 the the DET bracis-19031 424 9 springer springer NOUN bracis-19031 424 10 nature nature PROPN bracis-19031 424 11 sharedit sharedit PROPN bracis-19031 424 12 content content NOUN bracis-19031 424 13 - - PUNCT bracis-19031 424 14 sharing share VERB bracis-19031 424 15 initiative initiative NOUN bracis-19031 424 16 keywords keyword VERB bracis-19031 424 17 global global ADJ bracis-19031 424 18 optimization optimization NOUN bracis-19031 424 19 differential differential NOUN bracis-19031 424 20 evolution evolution NOUN bracis-19031 424 21 interval interval NOUN bracis-19031 424 22 methods method NOUN bracis-19031 424 23 publish publish VERB bracis-19031 424 24 with with ADP bracis-19031 424 25 us us PROPN bracis-19031 424 26 policies policy NOUN bracis-19031 424 27 and and CCONJ bracis-19031 424 28 ethics ethic NOUN bracis-19031 424 29 search search NOUN bracis-19031 424 30 search search NOUN bracis-19031 424 31 by by ADP bracis-19031 424 32 keyword keyword NOUN bracis-19031 424 33 or or CCONJ bracis-19031 424 34 author author NOUN bracis-19031 424 35 search search NOUN bracis-19031 424 36 navigation navigation NOUN bracis-19031 424 37 find find VERB bracis-19031 424 38 a a DET bracis-19031 424 39 journal journal NOUN bracis-19031 424 40 publish publish VERB bracis-19031 424 41 with with ADP bracis-19031 424 42 us we PRON bracis-19031 424 43 track track VERB bracis-19031 424 44 your your PRON bracis-19031 424 45 research research NOUN bracis-19031 424 46 discover discover VERB bracis-19031 424 47 content content NOUN bracis-19031 424 48 journals journal NOUN bracis-19031 424 49 a a DET bracis-19031 424 50 - - PUNCT bracis-19031 424 51 z z NOUN bracis-19031 424 52 books book NOUN bracis-19031 424 53 a a DET bracis-19031 424 54 - - PUNCT bracis-19031 424 55 z z NOUN bracis-19031 424 56 publish publish NOUN bracis-19031 424 57 with with ADP bracis-19031 424 58 us us PROPN bracis-19031 424 59 journal journal PROPN bracis-19031 424 60 finder finder PROPN bracis-19031 424 61 publish publish VERB bracis-19031 424 62 your your PRON bracis-19031 424 63 research research NOUN bracis-19031 424 64 language language NOUN bracis-19031 424 65 editing edit VERB bracis-19031 424 66 open open ADJ bracis-19031 424 67 access access NOUN bracis-19031 424 68 publishing publishing NOUN bracis-19031 424 69 products product NOUN bracis-19031 424 70 and and CCONJ bracis-19031 424 71 services service NOUN bracis-19031 424 72 our our PRON bracis-19031 424 73 products product NOUN bracis-19031 424 74 librarians librarian VERB bracis-19031 424 75 societies society NOUN bracis-19031 424 76 partners partner NOUN bracis-19031 424 77 and and CCONJ bracis-19031 424 78 advertisers advertiser NOUN bracis-19031 424 79 our our PRON bracis-19031 424 80 brands brand NOUN bracis-19031 424 81 springer springer NOUN bracis-19031 424 82 nature nature PROPN bracis-19031 424 83 portfolio portfolio PROPN bracis-19031 424 84 bmc bmc PROPN bracis-19031 424 85 palgrave palgrave PROPN bracis-19031 424 86 macmillan macmillan PROPN bracis-19031 424 87 apress apress PROPN bracis-19031 424 88 discover discover VERB bracis-19031 424 89 your your PRON bracis-19031 424 90 privacy privacy NOUN bracis-19031 424 91 choices choice NOUN bracis-19031 424 92 / / SYM bracis-19031 424 93 manage manage NOUN bracis-19031 424 94 cookies cookie NOUN bracis-19031 424 95 your your PRON bracis-19031 424 96 us us PROPN bracis-19031 425 1 state state NOUN bracis-19031 425 2 privacy privacy NOUN bracis-19031 425 3 rights right NOUN bracis-19031 425 4 accessibility accessibility NOUN bracis-19031 425 5 statement statement NOUN bracis-19031 425 6 terms term NOUN bracis-19031 425 7 and and CCONJ bracis-19031 425 8 conditions condition NOUN bracis-19031 425 9 privacy privacy NOUN bracis-19031 425 10 policy policy NOUN bracis-19031 425 11 help help NOUN bracis-19031 425 12 and and CCONJ bracis-19031 425 13 support support VERB bracis-19031 425 14 legal legal ADJ bracis-19031 425 15 notice notice NOUN bracis-19031 425 16 cancel cancel VERB bracis-19031 425 17 contracts contract NOUN bracis-19031 425 18 here here ADV bracis-19031 425 19 129.74.145.123 129.74.145.123 NUM bracis-19031 425 20 hesburgh hesburgh PROPN bracis-19031 425 21 library library PROPN bracis-19031 425 22 er er INTJ bracis-19031 425 23 unit unit NOUN bracis-19031 425 24 ( ( PUNCT bracis-19031 425 25 3005732405 3005732405 NUM bracis-19031 425 26 ) ) PUNCT bracis-19031 425 27 northeast northeast ADJ bracis-19031 425 28 research research NOUN bracis-19031 425 29 libraries library NOUN bracis-19031 425 30 ( ( PUNCT bracis-19031 425 31 nerl nerl PROPN bracis-19031 425 32 ) ) PUNCT bracis-19031 425 33 ( ( PUNCT bracis-19031 425 34 8200828607 8200828607 NUM bracis-19031 425 35 ) ) PUNCT bracis-19031 425 36 nerl nerl VERB bracis-19031 425 37 ta ta X bracis-19031 425 38 account account NOUN bracis-19031 425 39 ( ( PUNCT bracis-19031 425 40 3006206169 3006206169 NUM bracis-19031 425 41 ) ) PUNCT bracis-19031 425 42 university university NOUN bracis-19031 425 43 of of ADP bracis-19031 425 44 notre notre PROPN bracis-19031 425 45 dame dame PROPN bracis-19031 425 46 hesburgh hesburgh PROPN bracis-19031 425 47 library library NOUN bracis-19031 425 48 ( ( PUNCT bracis-19031 425 49 3000184373 3000184373 NUM bracis-19031 425 50 ) ) PUNCT bracis-19031 426 1 © © ADP bracis-19031 426 2 2025 2025 NUM bracis-19031 426 3 springer springer NOUN bracis-19031 426 4 nature nature NOUN