id sid tid token lemma pos ijassa-1301 1 1 microsoft microsoft PROPN ijassa-1301 1 2 word word PROPN ijassa-1301 1 3 1301_final 1301_final PROPN ijassa-1301 1 4 adv adv PROPN ijassa-1301 1 5 syst syst PROPN ijassa-1301 1 6 sci sci PROPN ijassa-1301 1 7 appl appl PROPN ijassa-1301 1 8 2022 2022 NUM ijassa-1301 1 9 ; ; PUNCT ijassa-1301 1 10 04 04 NUM ijassa-1301 1 11 ; ; PUNCT ijassa-1301 1 12 79 79 NUM ijassa-1301 1 13 - - SYM ijassa-1301 1 14 91 91 NUM ijassa-1301 1 15 published publish VERB ijassa-1301 1 16 online online ADV ijassa-1301 1 17 at at ADP ijassa-1301 1 18 http://ijassa.ipu.ru http://ijassa.ipu.ru ADV ijassa-1301 1 19 . . PUNCT ijassa-1301 2 1 bifurcation bifurcation NOUN ijassa-1301 2 2 in in ADP ijassa-1301 2 3 the the DET ijassa-1301 2 4 model model NOUN ijassa-1301 2 5 of of ADP ijassa-1301 2 6 cargo cargo NOUN ijassa-1301 2 7 transportation transportation NOUN ijassa-1301 2 8 organization organization NOUN ijassa-1301 2 9 nerses nerse VERB ijassa-1301 2 10 k. k. PROPN ijassa-1301 2 11 khachatryan1 khachatryan1 PROPN ijassa-1301 3 1 * * ADJ ijassa-1301 3 2 1 1 X ijassa-1301 3 3 ) ) PUNCT ijassa-1301 3 4 state state NOUN ijassa-1301 3 5 academic academic ADJ ijassa-1301 3 6 university university NOUN ijassa-1301 3 7 for for ADP ijassa-1301 3 8 the the DET ijassa-1301 3 9 humanities humanity NOUN ijassa-1301 3 10 , , PUNCT ijassa-1301 3 11 moscow moscow PROPN ijassa-1301 3 12 , , PUNCT ijassa-1301 3 13 russia russia PROPN ijassa-1301 3 14 e e NOUN ijassa-1301 3 15 - - NOUN ijassa-1301 3 16 mail mail NOUN ijassa-1301 3 17 : : PUNCT ijassa-1301 3 18 nerses-khachatryan@yandex.ru nerses-khachatryan@yandex.ru PROPN ijassa-1301 3 19 abstract abstract NOUN ijassa-1301 3 20 : : PUNCT ijassa-1301 3 21 this this DET ijassa-1301 3 22 article article NOUN ijassa-1301 3 23 is be AUX ijassa-1301 3 24 devoted devote VERB ijassa-1301 3 25 to to ADP ijassa-1301 3 26 the the DET ijassa-1301 3 27 study study NOUN ijassa-1301 3 28 of of ADP ijassa-1301 3 29 the the DET ijassa-1301 3 30 model model NOUN ijassa-1301 3 31 of of ADP ijassa-1301 3 32 cargo cargo NOUN ijassa-1301 3 33 transportation transportation NOUN ijassa-1301 3 34 organization organization NOUN ijassa-1301 3 35 between between ADP ijassa-1301 3 36 two two NUM ijassa-1301 3 37 nodal nodal NOUN ijassa-1301 3 38 stations station NOUN ijassa-1301 3 39 . . PUNCT ijassa-1301 4 1 the the DET ijassa-1301 4 2 main main ADJ ijassa-1301 4 3 characteristic characteristic NOUN ijassa-1301 4 4 of of ADP ijassa-1301 4 5 an an DET ijassa-1301 4 6 arbitrary arbitrary ADJ ijassa-1301 4 7 station station NOUN ijassa-1301 4 8 is be AUX ijassa-1301 4 9 the the DET ijassa-1301 4 10 degree degree NOUN ijassa-1301 4 11 of of ADP ijassa-1301 4 12 inconsistency inconsistency NOUN ijassa-1301 4 13 between between ADP ijassa-1301 4 14 receiving receive VERB ijassa-1301 4 15 and and CCONJ ijassa-1301 4 16 sending send VERB ijassa-1301 4 17 cargo cargo NOUN ijassa-1301 4 18 , , PUNCT ijassa-1301 4 19 which which PRON ijassa-1301 4 20 is be AUX ijassa-1301 4 21 the the DET ijassa-1301 4 22 difference difference NOUN ijassa-1301 4 23 between between ADP ijassa-1301 4 24 the the DET ijassa-1301 4 25 volume volume NOUN ijassa-1301 4 26 of of ADP ijassa-1301 4 27 incoming incoming ADJ ijassa-1301 4 28 and and CCONJ ijassa-1301 4 29 outgoing outgoing ADJ ijassa-1301 4 30 cargo cargo NOUN ijassa-1301 4 31 per per ADP ijassa-1301 4 32 unit unit NOUN ijassa-1301 4 33 of of ADP ijassa-1301 4 34 time time NOUN ijassa-1301 4 35 . . PUNCT ijassa-1301 5 1 the the DET ijassa-1301 5 2 initial initial ADJ ijassa-1301 5 3 node node ADJ ijassa-1301 5 4 station station NOUN ijassa-1301 5 5 accepts accept VERB ijassa-1301 5 6 goods good NOUN ijassa-1301 5 7 depending depend VERB ijassa-1301 5 8 on on ADP ijassa-1301 5 9 the the DET ijassa-1301 5 10 demand demand NOUN ijassa-1301 5 11 for for ADP ijassa-1301 5 12 them they PRON ijassa-1301 5 13 within within ADP ijassa-1301 5 14 its its PRON ijassa-1301 5 15 technical technical ADJ ijassa-1301 5 16 potential potential NOUN ijassa-1301 5 17 , , PUNCT ijassa-1301 5 18 which which PRON ijassa-1301 5 19 is be AUX ijassa-1301 5 20 determined determine VERB ijassa-1301 5 21 by by ADP ijassa-1301 5 22 the the DET ijassa-1301 5 23 maximum maximum ADJ ijassa-1301 5 24 allowable allowable ADJ ijassa-1301 5 25 increase increase NOUN ijassa-1301 5 26 in in ADP ijassa-1301 5 27 the the DET ijassa-1301 5 28 degree degree NOUN ijassa-1301 5 29 of of ADP ijassa-1301 5 30 inconsistency inconsistency NOUN ijassa-1301 5 31 between between ADP ijassa-1301 5 32 the the DET ijassa-1301 5 33 reception reception NOUN ijassa-1301 5 34 and and CCONJ ijassa-1301 5 35 dispatch dispatch NOUN ijassa-1301 5 36 of of ADP ijassa-1301 5 37 goods good NOUN ijassa-1301 5 38 per per ADP ijassa-1301 5 39 unit unit NOUN ijassa-1301 5 40 of of ADP ijassa-1301 5 41 time time NOUN ijassa-1301 5 42 . . PUNCT ijassa-1301 6 1 the the DET ijassa-1301 6 2 movement movement NOUN ijassa-1301 6 3 of of ADP ijassa-1301 6 4 goods good NOUN ijassa-1301 6 5 from from ADP ijassa-1301 6 6 one one NUM ijassa-1301 6 7 station station NOUN ijassa-1301 6 8 to to ADP ijassa-1301 6 9 another another PRON ijassa-1301 6 10 is be AUX ijassa-1301 6 11 carried carry VERB ijassa-1301 6 12 out out ADP ijassa-1301 6 13 within within ADP ijassa-1301 6 14 the the DET ijassa-1301 6 15 framework framework NOUN ijassa-1301 6 16 of of ADP ijassa-1301 6 17 their their PRON ijassa-1301 6 18 technical technical ADJ ijassa-1301 6 19 potentials potential NOUN ijassa-1301 6 20 . . PUNCT ijassa-1301 7 1 the the DET ijassa-1301 7 2 distribution distribution NOUN ijassa-1301 7 3 of of ADP ijassa-1301 7 4 goods good NOUN ijassa-1301 7 5 from from ADP ijassa-1301 7 6 the the DET ijassa-1301 7 7 final final ADJ ijassa-1301 7 8 node node NOUN ijassa-1301 7 9 station station NOUN ijassa-1301 7 10 is be AUX ijassa-1301 7 11 carried carry VERB ijassa-1301 7 12 out out ADP ijassa-1301 7 13 in in ADP ijassa-1301 7 14 a a DET ijassa-1301 7 15 certain certain ADJ ijassa-1301 7 16 mode mode NOUN ijassa-1301 7 17 . . PUNCT ijassa-1301 8 1 such such DET ijassa-1301 8 2 a a DET ijassa-1301 8 3 model model NOUN ijassa-1301 8 4 is be AUX ijassa-1301 8 5 described describe VERB ijassa-1301 8 6 by by ADP ijassa-1301 8 7 a a DET ijassa-1301 8 8 system system NOUN ijassa-1301 8 9 of of ADP ijassa-1301 8 10 differential differential ADJ ijassa-1301 8 11 equations equation NOUN ijassa-1301 8 12 with with ADP ijassa-1301 8 13 a a DET ijassa-1301 8 14 number number NOUN ijassa-1301 8 15 of of ADP ijassa-1301 8 16 parameters parameter NOUN ijassa-1301 8 17 that that PRON ijassa-1301 8 18 define define VERB ijassa-1301 8 19 the the DET ijassa-1301 8 20 characteristics characteristic NOUN ijassa-1301 8 21 of of ADP ijassa-1301 8 22 the the DET ijassa-1301 8 23 demand demand NOUN ijassa-1301 8 24 for for ADP ijassa-1301 8 25 cargo cargo NOUN ijassa-1301 8 26 transportation transportation NOUN ijassa-1301 8 27 , , PUNCT ijassa-1301 8 28 the the DET ijassa-1301 8 29 degree degree NOUN ijassa-1301 8 30 of of ADP ijassa-1301 8 31 use use NOUN ijassa-1301 8 32 of of ADP ijassa-1301 8 33 the the DET ijassa-1301 8 34 technical technical ADJ ijassa-1301 8 35 potential potential NOUN ijassa-1301 8 36 of of ADP ijassa-1301 8 37 the the DET ijassa-1301 8 38 stations station NOUN ijassa-1301 8 39 and and CCONJ ijassa-1301 8 40 the the DET ijassa-1301 8 41 mode mode NOUN ijassa-1301 8 42 of of ADP ijassa-1301 8 43 cargo cargo NOUN ijassa-1301 8 44 distribution distribution NOUN ijassa-1301 8 45 from from ADP ijassa-1301 8 46 the the DET ijassa-1301 8 47 final final ADJ ijassa-1301 8 48 node node NOUN ijassa-1301 8 49 station station NOUN ijassa-1301 8 50 . . PUNCT ijassa-1301 9 1 when when SCONJ ijassa-1301 9 2 changing change VERB ijassa-1301 9 3 the the DET ijassa-1301 9 4 parameters parameter NOUN ijassa-1301 9 5 of of ADP ijassa-1301 9 6 the the DET ijassa-1301 9 7 model model NOUN ijassa-1301 9 8 , , PUNCT ijassa-1301 9 9 a a DET ijassa-1301 9 10 bifurcation bifurcation NOUN ijassa-1301 9 11 effect effect NOUN ijassa-1301 9 12 occurs occur VERB ijassa-1301 9 13 and and CCONJ ijassa-1301 9 14 multiple multiple ADJ ijassa-1301 9 15 stationary stationary ADJ ijassa-1301 9 16 solutions solution NOUN ijassa-1301 9 17 appear appear VERB ijassa-1301 9 18 , , PUNCT ijassa-1301 9 19 among among ADP ijassa-1301 9 20 which which PRON ijassa-1301 9 21 the the DET ijassa-1301 9 22 most most ADV ijassa-1301 9 23 acceptable acceptable ADJ ijassa-1301 9 24 from from ADP ijassa-1301 9 25 the the DET ijassa-1301 9 26 point point NOUN ijassa-1301 9 27 of of ADP ijassa-1301 9 28 view view NOUN ijassa-1301 9 29 of of ADP ijassa-1301 9 30 economic economic ADJ ijassa-1301 9 31 feasibility feasibility NOUN ijassa-1301 9 32 are be AUX ijassa-1301 9 33 identified identify VERB ijassa-1301 9 34 . . PUNCT ijassa-1301 10 1 keywords keyword NOUN ijassa-1301 10 2 : : PUNCT ijassa-1301 10 3 cargo cargo NOUN ijassa-1301 10 4 transportation transportation NOUN ijassa-1301 10 5 organization organization NOUN ijassa-1301 10 6 model model NOUN ijassa-1301 10 7 , , PUNCT ijassa-1301 10 8 differential differential ADJ ijassa-1301 10 9 equations equation NOUN ijassa-1301 10 10 , , PUNCT ijassa-1301 10 11 stationary stationary ADJ ijassa-1301 10 12 solutions solution NOUN ijassa-1301 10 13 , , PUNCT ijassa-1301 10 14 model model NOUN ijassa-1301 10 15 parameters parameter NOUN ijassa-1301 10 16 , , PUNCT ijassa-1301 10 17 stability stability NOUN ijassa-1301 10 18 1 1 NUM ijassa-1301 10 19 . . PUNCT ijassa-1301 11 1 introduction introduction NOUN ijassa-1301 11 2 the the DET ijassa-1301 11 3 mathematical mathematical ADJ ijassa-1301 11 4 models model NOUN ijassa-1301 11 5 used use VERB ijassa-1301 11 6 for for ADP ijassa-1301 11 7 the the DET ijassa-1301 11 8 analysis analysis NOUN ijassa-1301 11 9 of of ADP ijassa-1301 11 10 transport transport NOUN ijassa-1301 11 11 networks network NOUN ijassa-1301 11 12 are be AUX ijassa-1301 11 13 diverse diverse ADJ ijassa-1301 11 14 in in ADP ijassa-1301 11 15 terms term NOUN ijassa-1301 11 16 of of ADP ijassa-1301 11 17 the the DET ijassa-1301 11 18 tasks task NOUN ijassa-1301 11 19 to to PART ijassa-1301 11 20 be be AUX ijassa-1301 11 21 solved solve VERB ijassa-1301 11 22 , , PUNCT ijassa-1301 11 23 the the DET ijassa-1301 11 24 mathematical mathematical ADJ ijassa-1301 11 25 apparatus apparatus NOUN ijassa-1301 11 26 , , PUNCT ijassa-1301 11 27 the the DET ijassa-1301 11 28 data datum NOUN ijassa-1301 11 29 used use VERB ijassa-1301 11 30 and and CCONJ ijassa-1301 11 31 the the DET ijassa-1301 11 32 degree degree NOUN ijassa-1301 11 33 of of ADP ijassa-1301 11 34 detail detail NOUN ijassa-1301 11 35 of of ADP ijassa-1301 11 36 the the DET ijassa-1301 11 37 description description NOUN ijassa-1301 11 38 of of ADP ijassa-1301 11 39 traffic traffic NOUN ijassa-1301 11 40 . . PUNCT ijassa-1301 12 1 based base VERB ijassa-1301 12 2 on on ADP ijassa-1301 12 3 the the DET ijassa-1301 12 4 functional functional ADJ ijassa-1301 12 5 role role NOUN ijassa-1301 12 6 of of ADP ijassa-1301 12 7 models model NOUN ijassa-1301 12 8 , , PUNCT ijassa-1301 12 9 i.e. i.e. X ijassa-1301 12 10 on on ADP ijassa-1301 12 11 the the DET ijassa-1301 12 12 tasks task NOUN ijassa-1301 12 13 for for ADP ijassa-1301 12 14 which which PRON ijassa-1301 12 15 they they PRON ijassa-1301 12 16 are be AUX ijassa-1301 12 17 used use VERB ijassa-1301 12 18 , , PUNCT ijassa-1301 12 19 three three NUM ijassa-1301 12 20 main main ADJ ijassa-1301 12 21 classes class NOUN ijassa-1301 12 22 can can AUX ijassa-1301 12 23 be be AUX ijassa-1301 12 24 conditionally conditionally ADV ijassa-1301 12 25 distinguished distinguish VERB ijassa-1301 12 26 : : PUNCT ijassa-1301 12 27 predictive predictive ADJ ijassa-1301 12 28 , , PUNCT ijassa-1301 12 29 simulation simulation NOUN ijassa-1301 12 30 and and CCONJ ijassa-1301 12 31 optimization optimization NOUN ijassa-1301 12 32 models model NOUN ijassa-1301 12 33 [ [ X ijassa-1301 12 34 24 24 NUM ijassa-1301 12 35 ] ] PUNCT ijassa-1301 12 36 . . PUNCT ijassa-1301 13 1 predictive predictive ADJ ijassa-1301 13 2 models model NOUN ijassa-1301 13 3 allow allow VERB ijassa-1301 13 4 to to PART ijassa-1301 13 5 determine determine VERB ijassa-1301 13 6 what what PRON ijassa-1301 13 7 will will AUX ijassa-1301 13 8 be be AUX ijassa-1301 13 9 the the DET ijassa-1301 13 10 traffic traffic NOUN ijassa-1301 13 11 flows flow NOUN ijassa-1301 13 12 in in ADP ijassa-1301 13 13 the the DET ijassa-1301 13 14 network network NOUN ijassa-1301 13 15 with with ADP ijassa-1301 13 16 known know VERB ijassa-1301 13 17 geometry geometry NOUN ijassa-1301 13 18 and and CCONJ ijassa-1301 13 19 properties property NOUN ijassa-1301 13 20 of of ADP ijassa-1301 13 21 the the DET ijassa-1301 13 22 transport transport NOUN ijassa-1301 13 23 network network NOUN ijassa-1301 13 24 . . PUNCT ijassa-1301 14 1 the the DET ijassa-1301 14 2 forecast forecast NOUN ijassa-1301 14 3 of of ADP ijassa-1301 14 4 the the DET ijassa-1301 14 5 load load NOUN ijassa-1301 14 6 of of ADP ijassa-1301 14 7 the the DET ijassa-1301 14 8 transport transport NOUN ijassa-1301 14 9 network network NOUN ijassa-1301 14 10 includes include VERB ijassa-1301 14 11 the the DET ijassa-1301 14 12 calculation calculation NOUN ijassa-1301 14 13 of of ADP ijassa-1301 14 14 the the DET ijassa-1301 14 15 average average ADJ ijassa-1301 14 16 characteristics characteristic NOUN ijassa-1301 14 17 of of ADP ijassa-1301 14 18 traffic traffic NOUN ijassa-1301 14 19 , , PUNCT ijassa-1301 14 20 such such ADJ ijassa-1301 14 21 as as ADP ijassa-1301 14 22 the the DET ijassa-1301 14 23 volume volume NOUN ijassa-1301 14 24 of of ADP ijassa-1301 14 25 inter inter ADJ ijassa-1301 14 26 - - ADJ ijassa-1301 14 27 district district ADJ ijassa-1301 14 28 movements movement NOUN ijassa-1301 14 29 , , PUNCT ijassa-1301 14 30 the the DET ijassa-1301 14 31 intensity intensity NOUN ijassa-1301 14 32 of of ADP ijassa-1301 14 33 the the DET ijassa-1301 14 34 flow flow NOUN ijassa-1301 14 35 , , PUNCT ijassa-1301 14 36 the the DET ijassa-1301 14 37 distribution distribution NOUN ijassa-1301 14 38 of of ADP ijassa-1301 14 39 vehicles vehicle NOUN ijassa-1301 14 40 along along ADP ijassa-1301 14 41 the the DET ijassa-1301 14 42 paths path NOUN ijassa-1301 14 43 , , PUNCT ijassa-1301 14 44 etc etc X ijassa-1301 14 45 . . X ijassa-1301 14 46 with with ADP ijassa-1301 14 47 the the DET ijassa-1301 14 48 help help NOUN ijassa-1301 14 49 of of ADP ijassa-1301 14 50 such such ADJ ijassa-1301 14 51 models model NOUN ijassa-1301 14 52 , , PUNCT ijassa-1301 14 53 it it PRON ijassa-1301 14 54 is be AUX ijassa-1301 14 55 possible possible ADJ ijassa-1301 14 56 to to PART ijassa-1301 14 57 predict predict VERB ijassa-1301 14 58 the the DET ijassa-1301 14 59 consequences consequence NOUN ijassa-1301 14 60 of of ADP ijassa-1301 14 61 changes change NOUN ijassa-1301 14 62 in in ADP ijassa-1301 14 63 the the DET ijassa-1301 14 64 transport transport NOUN ijassa-1301 14 65 network network NOUN ijassa-1301 14 66 or or CCONJ ijassa-1301 14 67 in in ADP ijassa-1301 14 68 the the DET ijassa-1301 14 69 placement placement NOUN ijassa-1301 14 70 of of ADP ijassa-1301 14 71 objects object NOUN ijassa-1301 14 72 . . PUNCT ijassa-1301 15 1 simulation simulation NOUN ijassa-1301 15 2 modeling modeling NOUN ijassa-1301 15 3 aims aim VERB ijassa-1301 15 4 to to PART ijassa-1301 15 5 reproduce reproduce VERB ijassa-1301 15 6 all all DET ijassa-1301 15 7 the the DET ijassa-1301 15 8 details detail NOUN ijassa-1301 15 9 of of ADP ijassa-1301 15 10 the the DET ijassa-1301 15 11 movement movement NOUN ijassa-1301 15 12 , , PUNCT ijassa-1301 15 13 while while SCONJ ijassa-1301 15 14 the the DET ijassa-1301 15 15 averaged average VERB ijassa-1301 15 16 value value NOUN ijassa-1301 15 17 of of ADP ijassa-1301 15 18 the the DET ijassa-1301 15 19 flows flow NOUN ijassa-1301 15 20 and and CCONJ ijassa-1301 15 21 the the DET ijassa-1301 15 22 distribution distribution NOUN ijassa-1301 15 23 along along ADP ijassa-1301 15 24 the the DET ijassa-1301 15 25 paths path NOUN ijassa-1301 15 26 are be AUX ijassa-1301 15 27 considered consider VERB ijassa-1301 15 28 known know VERB ijassa-1301 15 29 and and CCONJ ijassa-1301 15 30 serve serve VERB ijassa-1301 15 31 as as ADP ijassa-1301 15 32 the the DET ijassa-1301 15 33 initial initial ADJ ijassa-1301 15 34 data datum NOUN ijassa-1301 15 35 for for ADP ijassa-1301 15 36 these these DET ijassa-1301 15 37 models model NOUN ijassa-1301 15 38 . . PUNCT ijassa-1301 16 1 thus thus ADV ijassa-1301 16 2 , , PUNCT ijassa-1301 16 3 flow flow NOUN ijassa-1301 16 4 forecasting forecasting NOUN ijassa-1301 16 5 and and CCONJ ijassa-1301 16 6 simulation simulation NOUN ijassa-1301 16 7 modeling modeling NOUN ijassa-1301 16 8 are be AUX ijassa-1301 16 9 complementary complementary ADJ ijassa-1301 16 10 directions direction NOUN ijassa-1301 16 11 [ [ X ijassa-1301 16 12 9 9 NUM ijassa-1301 16 13 ] ] PUNCT ijassa-1301 16 14 . . PUNCT ijassa-1301 17 1 the the DET ijassa-1301 17 2 third third ADJ ijassa-1301 17 3 class class NOUN ijassa-1301 17 4 of of ADP ijassa-1301 17 5 models model NOUN ijassa-1301 17 6 is be AUX ijassa-1301 17 7 aimed aim VERB ijassa-1301 17 8 at at ADP ijassa-1301 17 9 optimizing optimize VERB ijassa-1301 17 10 the the DET ijassa-1301 17 11 functioning functioning NOUN ijassa-1301 17 12 of of ADP ijassa-1301 17 13 transport transport NOUN ijassa-1301 17 14 networks network NOUN ijassa-1301 17 15 . . PUNCT ijassa-1301 18 1 with with ADP ijassa-1301 18 2 their their PRON ijassa-1301 18 3 help help NOUN ijassa-1301 18 4 the the DET ijassa-1301 18 5 problems problem NOUN ijassa-1301 18 6 of of ADP ijassa-1301 18 7 optimization optimization NOUN ijassa-1301 18 8 of of ADP ijassa-1301 18 9 transport transport NOUN ijassa-1301 18 10 routes route NOUN ijassa-1301 18 11 , , PUNCT ijassa-1301 18 12 development development NOUN ijassa-1301 18 13 of of ADP ijassa-1301 18 14 the the DET ijassa-1301 18 15 optimal optimal ADJ ijassa-1301 18 16 network network NOUN ijassa-1301 18 17 configuration configuration NOUN ijassa-1301 18 18 , , PUNCT ijassa-1301 18 19 etc etc X ijassa-1301 18 20 . . X ijassa-1301 18 21 are be AUX ijassa-1301 18 22 solved solve VERB ijassa-1301 18 23 [ [ X ijassa-1301 18 24 10 10 NUM ijassa-1301 18 25 , , PUNCT ijassa-1301 18 26 23 23 NUM ijassa-1301 18 27 , , PUNCT ijassa-1301 18 28 26 26 NUM ijassa-1301 18 29 , , PUNCT ijassa-1301 18 30 27 27 NUM ijassa-1301 18 31 ] ] PUNCT ijassa-1301 18 32 . . PUNCT ijassa-1301 19 1 according accord VERB ijassa-1301 19 2 to to ADP ijassa-1301 19 3 the the DET ijassa-1301 19 4 method method NOUN ijassa-1301 19 5 of of ADP ijassa-1301 19 6 describing describe VERB ijassa-1301 19 7 traffic traffic NOUN ijassa-1301 19 8 flows flow NOUN ijassa-1301 19 9 , , PUNCT ijassa-1301 19 10 all all DET ijassa-1301 19 11 models model NOUN ijassa-1301 19 12 of of ADP ijassa-1301 19 13 transport transport NOUN ijassa-1301 19 14 networks network NOUN ijassa-1301 19 15 can can AUX ijassa-1301 19 16 be be AUX ijassa-1301 19 17 divided divide VERB ijassa-1301 19 18 into into ADP ijassa-1301 19 19 classes class NOUN ijassa-1301 19 20 : : PUNCT ijassa-1301 19 21 models model NOUN ijassa-1301 19 22 - - PUNCT ijassa-1301 19 23 analogues analogue NOUN ijassa-1301 19 24 , , PUNCT ijassa-1301 19 25 models model NOUN ijassa-1301 19 26 - - PUNCT ijassa-1301 19 27 following follow VERB ijassa-1301 19 28 the the DET ijassa-1301 19 29 leader leader NOUN ijassa-1301 19 30 , , PUNCT ijassa-1301 19 31 models model NOUN ijassa-1301 19 32 - - PUNCT ijassa-1301 19 33 probabilistic probabilistic ADJ ijassa-1301 19 34 . . PUNCT ijassa-1301 20 1 * * PUNCT ijassa-1301 20 2 corresponding correspond VERB ijassa-1301 20 3 author author NOUN ijassa-1301 20 4 : : PUNCT ijassa-1301 20 5 nerses-khachatryan@yandex.ru nerses-khachatryan@yandex.ru PROPN ijassa-1301 20 6 80 80 NUM ijassa-1301 20 7 n.k n.k PROPN ijassa-1301 20 8 . . NOUN ijassa-1301 20 9 khachatryan khachatryan PROPN ijassa-1301 20 10 copyright copyright NOUN ijassa-1301 21 1 Β© Β© PROPN ijassa-1301 21 2 0000 0000 NUM ijassa-1301 21 3 assa assa PROPN ijassa-1301 21 4 adv adv PROPN ijassa-1301 21 5 . . PUNCT ijassa-1301 22 1 in in ADP ijassa-1301 22 2 systems system NOUN ijassa-1301 22 3 science science NOUN ijassa-1301 22 4 and and CCONJ ijassa-1301 22 5 appl appl NOUN ijassa-1301 22 6 . . PUNCT ijassa-1301 23 1 ( ( PUNCT ijassa-1301 23 2 0000 0000 NUM ijassa-1301 23 3 ) ) PUNCT ijassa-1301 23 4 in in ADP ijassa-1301 23 5 analog analog NOUN ijassa-1301 23 6 models model NOUN ijassa-1301 23 7 , , PUNCT ijassa-1301 23 8 the the DET ijassa-1301 23 9 movement movement NOUN ijassa-1301 23 10 of of ADP ijassa-1301 23 11 a a DET ijassa-1301 23 12 vehicle vehicle NOUN ijassa-1301 23 13 is be AUX ijassa-1301 23 14 likened liken VERB ijassa-1301 23 15 to to ADP ijassa-1301 23 16 some some DET ijassa-1301 23 17 kind kind NOUN ijassa-1301 23 18 of of ADP ijassa-1301 23 19 physical physical ADJ ijassa-1301 23 20 flow flow NOUN ijassa-1301 23 21 ( ( PUNCT ijassa-1301 23 22 hydroand hydroand NOUN ijassa-1301 23 23 gas gas NOUN ijassa-1301 23 24 - - PUNCT ijassa-1301 23 25 dynamic dynamic ADJ ijassa-1301 23 26 models model NOUN ijassa-1301 23 27 ) ) PUNCT ijassa-1301 24 1 [ [ X ijassa-1301 24 2 6 6 NUM ijassa-1301 24 3 , , PUNCT ijassa-1301 24 4 7 7 NUM ijassa-1301 24 5 , , PUNCT ijassa-1301 24 6 9 9 NUM ijassa-1301 24 7 ] ] PUNCT ijassa-1301 24 8 . . PUNCT ijassa-1301 25 1 in in ADP ijassa-1301 25 2 models model NOUN ijassa-1301 25 3 of of ADP ijassa-1301 25 4 following follow VERB ijassa-1301 25 5 the the DET ijassa-1301 25 6 leader leader NOUN ijassa-1301 25 7 , , PUNCT ijassa-1301 25 8 it it PRON ijassa-1301 25 9 is be AUX ijassa-1301 25 10 important important ADJ ijassa-1301 25 11 to to PART ijassa-1301 25 12 assume assume VERB ijassa-1301 25 13 that that SCONJ ijassa-1301 25 14 there there PRON ijassa-1301 25 15 is be VERB ijassa-1301 25 16 a a DET ijassa-1301 25 17 connection connection NOUN ijassa-1301 25 18 between between ADP ijassa-1301 25 19 the the DET ijassa-1301 25 20 movement movement NOUN ijassa-1301 25 21 of of ADP ijassa-1301 25 22 the the DET ijassa-1301 25 23 driven drive VERB ijassa-1301 25 24 and and CCONJ ijassa-1301 25 25 the the DET ijassa-1301 25 26 main main ADJ ijassa-1301 25 27 vehicle vehicle NOUN ijassa-1301 26 1 [ [ X ijassa-1301 26 2 5 5 NUM ijassa-1301 26 3 ] ] PUNCT ijassa-1301 26 4 . . PUNCT ijassa-1301 27 1 in in ADP ijassa-1301 27 2 probabilistic probabilistic ADJ ijassa-1301 27 3 models model NOUN ijassa-1301 27 4 , , PUNCT ijassa-1301 27 5 the the DET ijassa-1301 27 6 traffic traffic NOUN ijassa-1301 27 7 flow flow NOUN ijassa-1301 27 8 is be AUX ijassa-1301 27 9 considered consider VERB ijassa-1301 27 10 as as ADP ijassa-1301 27 11 a a DET ijassa-1301 27 12 result result NOUN ijassa-1301 27 13 of of ADP ijassa-1301 27 14 the the DET ijassa-1301 27 15 interaction interaction NOUN ijassa-1301 27 16 of of ADP ijassa-1301 27 17 vehicles vehicle NOUN ijassa-1301 27 18 on on ADP ijassa-1301 27 19 the the DET ijassa-1301 27 20 elements element NOUN ijassa-1301 27 21 of of ADP ijassa-1301 27 22 the the DET ijassa-1301 27 23 transport transport NOUN ijassa-1301 27 24 network network NOUN ijassa-1301 27 25 . . PUNCT ijassa-1301 28 1 due due ADP ijassa-1301 28 2 to to ADP ijassa-1301 28 3 the the DET ijassa-1301 28 4 rigid rigid ADJ ijassa-1301 28 5 nature nature NOUN ijassa-1301 28 6 of of ADP ijassa-1301 28 7 network network NOUN ijassa-1301 28 8 restrictions restriction NOUN ijassa-1301 28 9 and and CCONJ ijassa-1301 28 10 the the DET ijassa-1301 28 11 mass mass ADJ ijassa-1301 28 12 nature nature NOUN ijassa-1301 28 13 of of ADP ijassa-1301 28 14 traffic traffic NOUN ijassa-1301 28 15 in in ADP ijassa-1301 28 16 the the DET ijassa-1301 28 17 traffic traffic NOUN ijassa-1301 28 18 flow flow NOUN ijassa-1301 28 19 , , PUNCT ijassa-1301 28 20 there there PRON ijassa-1301 28 21 are be VERB ijassa-1301 28 22 clear clear ADJ ijassa-1301 28 23 patterns pattern NOUN ijassa-1301 28 24 of of ADP ijassa-1301 28 25 formation formation NOUN ijassa-1301 28 26 of of ADP ijassa-1301 28 27 queues queue NOUN ijassa-1301 28 28 , , PUNCT ijassa-1301 28 29 intervals interval NOUN ijassa-1301 28 30 , , PUNCT ijassa-1301 28 31 loads load VERB ijassa-1301 28 32 on on ADP ijassa-1301 28 33 the the DET ijassa-1301 28 34 road road NOUN ijassa-1301 28 35 lanes lane NOUN ijassa-1301 28 36 , , PUNCT ijassa-1301 28 37 etc etc X ijassa-1301 28 38 . . X ijassa-1301 29 1 these these DET ijassa-1301 29 2 patterns pattern NOUN ijassa-1301 29 3 are be AUX ijassa-1301 29 4 significantly significantly ADV ijassa-1301 29 5 stochastic stochastic ADJ ijassa-1301 29 6 [ [ X ijassa-1301 29 7 25 25 NUM ijassa-1301 29 8 ] ] PUNCT ijassa-1301 29 9 . . PUNCT ijassa-1301 30 1 one one NUM ijassa-1301 30 2 of of ADP ijassa-1301 30 3 the the DET ijassa-1301 30 4 most most ADV ijassa-1301 30 5 popular popular ADJ ijassa-1301 30 6 modes mode NOUN ijassa-1301 30 7 of of ADP ijassa-1301 30 8 transport transport NOUN ijassa-1301 30 9 for for ADP ijassa-1301 30 10 cargo cargo NOUN ijassa-1301 30 11 transportation transportation NOUN ijassa-1301 30 12 in in ADP ijassa-1301 30 13 russia russia PROPN ijassa-1301 30 14 is be AUX ijassa-1301 30 15 rail rail NOUN ijassa-1301 30 16 . . PUNCT ijassa-1301 31 1 publications publication NOUN ijassa-1301 31 2 devoted devote VERB ijassa-1301 31 3 to to ADP ijassa-1301 31 4 railway railway NOUN ijassa-1301 31 5 logistics logistic NOUN ijassa-1301 31 6 can can AUX ijassa-1301 31 7 be be AUX ijassa-1301 31 8 divided divide VERB ijassa-1301 31 9 into into ADP ijassa-1301 31 10 the the DET ijassa-1301 31 11 following follow VERB ijassa-1301 31 12 main main ADJ ijassa-1301 31 13 groups group NOUN ijassa-1301 31 14 according accord VERB ijassa-1301 31 15 to to ADP ijassa-1301 31 16 the the DET ijassa-1301 31 17 type type NOUN ijassa-1301 31 18 of of ADP ijassa-1301 31 19 tasks task NOUN ijassa-1301 31 20 studied study VERB ijassa-1301 31 21 : : PUNCT ijassa-1301 31 22 1 1 X ijassa-1301 31 23 ) ) PUNCT ijassa-1301 31 24 the the DET ijassa-1301 31 25 tasks task NOUN ijassa-1301 31 26 of of ADP ijassa-1301 31 27 designing design VERB ijassa-1301 31 28 the the DET ijassa-1301 31 29 infrastructure infrastructure NOUN ijassa-1301 31 30 of of ADP ijassa-1301 31 31 the the DET ijassa-1301 31 32 railway railway NOUN ijassa-1301 31 33 network network NOUN ijassa-1301 31 34 ; ; PUNCT ijassa-1301 31 35 2 2 X ijassa-1301 31 36 ) ) PUNCT ijassa-1301 31 37 tasks task NOUN ijassa-1301 31 38 of of ADP ijassa-1301 31 39 managing manage VERB ijassa-1301 31 40 the the DET ijassa-1301 31 41 fleet fleet NOUN ijassa-1301 31 42 of of ADP ijassa-1301 31 43 locomotives locomotive NOUN ijassa-1301 31 44 and and CCONJ ijassa-1301 31 45 wagons wagon NOUN ijassa-1301 31 46 ; ; PUNCT ijassa-1301 31 47 3 3 X ijassa-1301 31 48 ) ) PUNCT ijassa-1301 31 49 tasks task NOUN ijassa-1301 31 50 of of ADP ijassa-1301 31 51 railway railway NOUN ijassa-1301 31 52 planning planning NOUN ijassa-1301 31 53 . . PUNCT ijassa-1301 32 1 in in ADP ijassa-1301 32 2 the the DET ijassa-1301 32 3 first first ADJ ijassa-1301 32 4 group group NOUN ijassa-1301 32 5 we we PRON ijassa-1301 32 6 can can AUX ijassa-1301 32 7 highlight highlight VERB ijassa-1301 32 8 the the DET ijassa-1301 32 9 works work NOUN ijassa-1301 32 10 [ [ X ijassa-1301 32 11 8 8 NUM ijassa-1301 32 12 , , PUNCT ijassa-1301 32 13 11 11 NUM ijassa-1301 32 14 , , PUNCT ijassa-1301 32 15 19 19 NUM ijassa-1301 32 16 , , PUNCT ijassa-1301 32 17 22 22 NUM ijassa-1301 32 18 ] ] PUNCT ijassa-1301 32 19 . . PUNCT ijassa-1301 33 1 the the DET ijassa-1301 33 2 task task NOUN ijassa-1301 33 3 of of ADP ijassa-1301 33 4 managing manage VERB ijassa-1301 33 5 the the DET ijassa-1301 33 6 fleet fleet NOUN ijassa-1301 33 7 of of ADP ijassa-1301 33 8 locomotives locomotive NOUN ijassa-1301 33 9 and and CCONJ ijassa-1301 33 10 wagons wagon NOUN ijassa-1301 33 11 is be AUX ijassa-1301 33 12 described describe VERB ijassa-1301 33 13 in in ADP ijassa-1301 33 14 [ [ X ijassa-1301 33 15 4 4 NUM ijassa-1301 33 16 ] ] PUNCT ijassa-1301 33 17 . . PUNCT ijassa-1301 34 1 the the DET ijassa-1301 34 2 third third ADJ ijassa-1301 34 3 group group NOUN ijassa-1301 34 4 , , PUNCT ijassa-1301 34 5 in in ADP ijassa-1301 34 6 particular particular ADJ ijassa-1301 34 7 , , PUNCT ijassa-1301 34 8 is be AUX ijassa-1301 34 9 represented represent VERB ijassa-1301 34 10 by by ADP ijassa-1301 34 11 the the DET ijassa-1301 34 12 tasks task NOUN ijassa-1301 34 13 of of ADP ijassa-1301 34 14 forming form VERB ijassa-1301 34 15 the the DET ijassa-1301 34 16 schedule schedule NOUN ijassa-1301 34 17 of of ADP ijassa-1301 34 18 freight freight NOUN ijassa-1301 34 19 trains train NOUN ijassa-1301 34 20 and and CCONJ ijassa-1301 34 21 the the DET ijassa-1301 34 22 organization organization NOUN ijassa-1301 34 23 of of ADP ijassa-1301 34 24 freight freight NOUN ijassa-1301 34 25 flows flow VERB ijassa-1301 34 26 [ [ X ijassa-1301 34 27 20 20 NUM ijassa-1301 34 28 , , PUNCT ijassa-1301 34 29 21 21 NUM ijassa-1301 34 30 ] ] PUNCT ijassa-1301 34 31 . . PUNCT ijassa-1301 35 1 one one NUM ijassa-1301 35 2 of of ADP ijassa-1301 35 3 the the DET ijassa-1301 35 4 approaches approach NOUN ijassa-1301 35 5 to to ADP ijassa-1301 35 6 the the DET ijassa-1301 35 7 organization organization NOUN ijassa-1301 35 8 of of ADP ijassa-1301 35 9 cargo cargo NOUN ijassa-1301 35 10 traffic traffic NOUN ijassa-1301 35 11 is be AUX ijassa-1301 35 12 described describe VERB ijassa-1301 35 13 in in ADP ijassa-1301 35 14 [ [ X ijassa-1301 35 15 1 1 NUM ijassa-1301 35 16 , , PUNCT ijassa-1301 35 17 2 2 NUM ijassa-1301 35 18 , , PUNCT ijassa-1301 35 19 12 12 NUM ijassa-1301 35 20 - - SYM ijassa-1301 35 21 16 16 NUM ijassa-1301 35 22 ] ] PUNCT ijassa-1301 35 23 . . PUNCT ijassa-1301 36 1 they they PRON ijassa-1301 36 2 present present VERB ijassa-1301 36 3 macroscopic macroscopic ADJ ijassa-1301 36 4 dynamic dynamic ADJ ijassa-1301 36 5 models model NOUN ijassa-1301 36 6 in in ADP ijassa-1301 36 7 which which PRON ijassa-1301 36 8 the the DET ijassa-1301 36 9 process process NOUN ijassa-1301 36 10 of of ADP ijassa-1301 36 11 organizing organize VERB ijassa-1301 36 12 railway railway NOUN ijassa-1301 36 13 freight freight NOUN ijassa-1301 36 14 transportation transportation NOUN ijassa-1301 36 15 is be AUX ijassa-1301 36 16 the the DET ijassa-1301 36 17 formation formation NOUN ijassa-1301 36 18 of of ADP ijassa-1301 36 19 cargo cargo NOUN ijassa-1301 36 20 traffic traffic NOUN ijassa-1301 36 21 based base VERB ijassa-1301 36 22 on on ADP ijassa-1301 36 23 the the DET ijassa-1301 36 24 interaction interaction NOUN ijassa-1301 36 25 of of ADP ijassa-1301 36 26 neighboring neighboring NOUN ijassa-1301 36 27 stations station NOUN ijassa-1301 36 28 . . PUNCT ijassa-1301 37 1 by by ADP ijassa-1301 37 2 their their PRON ijassa-1301 37 3 functional functional ADJ ijassa-1301 37 4 role role NOUN ijassa-1301 37 5 , , PUNCT ijassa-1301 37 6 they they PRON ijassa-1301 37 7 are be AUX ijassa-1301 37 8 predictive predictive ADJ ijassa-1301 37 9 , , PUNCT ijassa-1301 37 10 because because SCONJ ijassa-1301 37 11 they they PRON ijassa-1301 37 12 allow allow VERB ijassa-1301 37 13 predicting predict VERB ijassa-1301 37 14 the the DET ijassa-1301 37 15 dynamics dynamic NOUN ijassa-1301 37 16 of of ADP ijassa-1301 37 17 loading loading NOUN ijassa-1301 37 18 of of ADP ijassa-1301 37 19 the the DET ijassa-1301 37 20 stations station NOUN ijassa-1301 37 21 and and CCONJ ijassa-1301 37 22 flows flow VERB ijassa-1301 37 23 arising arise VERB ijassa-1301 37 24 in in ADP ijassa-1301 37 25 the the DET ijassa-1301 37 26 railway railway NOUN ijassa-1301 37 27 network network NOUN ijassa-1301 37 28 , , PUNCT ijassa-1301 37 29 at at ADP ijassa-1301 37 30 the the DET ijassa-1301 37 31 set set ADJ ijassa-1301 37 32 procedure procedure NOUN ijassa-1301 37 33 of of ADP ijassa-1301 37 34 the the DET ijassa-1301 37 35 organization organization NOUN ijassa-1301 37 36 of of ADP ijassa-1301 37 37 a a DET ijassa-1301 37 38 cargo cargo NOUN ijassa-1301 37 39 flow flow NOUN ijassa-1301 37 40 . . PUNCT ijassa-1301 38 1 in in ADP ijassa-1301 38 2 the the DET ijassa-1301 38 3 way way NOUN ijassa-1301 38 4 of of ADP ijassa-1301 38 5 describing describe VERB ijassa-1301 38 6 traffic traffic NOUN ijassa-1301 38 7 flows flow NOUN ijassa-1301 38 8 , , PUNCT ijassa-1301 38 9 they they PRON ijassa-1301 38 10 are be AUX ijassa-1301 38 11 close close ADJ ijassa-1301 38 12 to to ADP ijassa-1301 38 13 the the DET ijassa-1301 38 14 models model NOUN ijassa-1301 38 15 of of ADP ijassa-1301 38 16 following follow VERB ijassa-1301 38 17 the the DET ijassa-1301 38 18 leader leader NOUN ijassa-1301 38 19 , , PUNCT ijassa-1301 38 20 if if SCONJ ijassa-1301 38 21 the the DET ijassa-1301 38 22 flow flow NOUN ijassa-1301 38 23 on on ADP ijassa-1301 38 24 a a DET ijassa-1301 38 25 particular particular ADJ ijassa-1301 38 26 section section NOUN ijassa-1301 38 27 of of ADP ijassa-1301 38 28 the the DET ijassa-1301 38 29 railway railway NOUN ijassa-1301 38 30 network network NOUN ijassa-1301 38 31 is be AUX ijassa-1301 38 32 identified identify VERB ijassa-1301 38 33 with with ADP ijassa-1301 38 34 the the DET ijassa-1301 38 35 congestion congestion NOUN ijassa-1301 38 36 of of ADP ijassa-1301 38 37 the the DET ijassa-1301 38 38 respective respective ADJ ijassa-1301 38 39 stations station NOUN ijassa-1301 38 40 . . PUNCT ijassa-1301 39 1 at at ADP ijassa-1301 39 2 the the DET ijassa-1301 39 3 same same ADJ ijassa-1301 39 4 time time NOUN ijassa-1301 39 5 , , PUNCT ijassa-1301 39 6 these these DET ijassa-1301 39 7 models model NOUN ijassa-1301 39 8 have have VERB ijassa-1301 39 9 a a DET ijassa-1301 39 10 significant significant ADJ ijassa-1301 39 11 difference difference NOUN ijassa-1301 39 12 from from ADP ijassa-1301 39 13 the the DET ijassa-1301 39 14 models model NOUN ijassa-1301 39 15 of of ADP ijassa-1301 39 16 following follow VERB ijassa-1301 39 17 the the DET ijassa-1301 39 18 leader leader NOUN ijassa-1301 39 19 , , PUNCT ijassa-1301 39 20 which which PRON ijassa-1301 39 21 means mean VERB ijassa-1301 39 22 that that SCONJ ijassa-1301 39 23 each each DET ijassa-1301 39 24 station station NOUN ijassa-1301 39 25 interacts interact VERB ijassa-1301 39 26 not not PART ijassa-1301 39 27 with with ADP ijassa-1301 39 28 one one NUM ijassa-1301 39 29 , , PUNCT ijassa-1301 39 30 but but CCONJ ijassa-1301 39 31 with with ADP ijassa-1301 39 32 the the DET ijassa-1301 39 33 two two NUM ijassa-1301 39 34 nearest near ADJ ijassa-1301 39 35 neighboring neighboring NOUN ijassa-1301 39 36 stations station NOUN ijassa-1301 39 37 . . PUNCT ijassa-1301 40 1 in in ADP ijassa-1301 40 2 [ [ X ijassa-1301 40 3 17 17 NUM ijassa-1301 40 4 ] ] PUNCT ijassa-1301 40 5 and and CCONJ ijassa-1301 40 6 [ [ X ijassa-1301 40 7 18 18 NUM ijassa-1301 40 8 ] ] PUNCT ijassa-1301 40 9 , , PUNCT ijassa-1301 40 10 another another DET ijassa-1301 40 11 approach approach NOUN ijassa-1301 40 12 to to ADP ijassa-1301 40 13 the the DET ijassa-1301 40 14 organization organization NOUN ijassa-1301 40 15 of of ADP ijassa-1301 40 16 cargo cargo NOUN ijassa-1301 40 17 traffic traffic NOUN ijassa-1301 40 18 is be AUX ijassa-1301 40 19 presented present VERB ijassa-1301 40 20 , , PUNCT ijassa-1301 40 21 in in ADP ijassa-1301 40 22 which which PRON ijassa-1301 40 23 the the DET ijassa-1301 40 24 process process NOUN ijassa-1301 40 25 of of ADP ijassa-1301 40 26 its its PRON ijassa-1301 40 27 formation formation NOUN ijassa-1301 40 28 is be AUX ijassa-1301 40 29 determined determine VERB ijassa-1301 40 30 by by ADP ijassa-1301 40 31 the the DET ijassa-1301 40 32 demand demand NOUN ijassa-1301 40 33 for for ADP ijassa-1301 40 34 cargo cargo NOUN ijassa-1301 40 35 transportation transportation NOUN ijassa-1301 40 36 and and CCONJ ijassa-1301 40 37 the the DET ijassa-1301 40 38 degree degree NOUN ijassa-1301 40 39 of of ADP ijassa-1301 40 40 use use NOUN ijassa-1301 40 41 of of ADP ijassa-1301 40 42 the the DET ijassa-1301 40 43 technical technical ADJ ijassa-1301 40 44 potential potential NOUN ijassa-1301 40 45 of of ADP ijassa-1301 40 46 stations station NOUN ijassa-1301 40 47 . . PUNCT ijassa-1301 41 1 this this DET ijassa-1301 41 2 work work NOUN ijassa-1301 41 3 is be AUX ijassa-1301 41 4 devoted devote VERB ijassa-1301 41 5 to to ADP ijassa-1301 41 6 the the DET ijassa-1301 41 7 study study NOUN ijassa-1301 41 8 of of ADP ijassa-1301 41 9 the the DET ijassa-1301 41 10 modification modification NOUN ijassa-1301 41 11 of of ADP ijassa-1301 41 12 the the DET ijassa-1301 41 13 model model NOUN ijassa-1301 41 14 described describe VERB ijassa-1301 41 15 in in ADP ijassa-1301 41 16 [ [ X ijassa-1301 41 17 17 17 NUM ijassa-1301 41 18 ] ] PUNCT ijassa-1301 41 19 , , PUNCT ijassa-1301 41 20 and and CCONJ ijassa-1301 41 21 unlike unlike ADP ijassa-1301 41 22 it it PRON ijassa-1301 41 23 , , PUNCT ijassa-1301 41 24 it it PRON ijassa-1301 41 25 is be AUX ijassa-1301 41 26 initially initially ADV ijassa-1301 41 27 aimed aim VERB ijassa-1301 41 28 at at ADP ijassa-1301 41 29 finding find VERB ijassa-1301 41 30 practically practically ADV ijassa-1301 41 31 feasible feasible ADJ ijassa-1301 41 32 modes mode NOUN ijassa-1301 41 33 of of ADP ijassa-1301 41 34 cargo cargo NOUN ijassa-1301 41 35 transportation transportation NOUN ijassa-1301 41 36 . . PUNCT ijassa-1301 42 1 such such ADJ ijassa-1301 42 2 models model NOUN ijassa-1301 42 3 are be AUX ijassa-1301 42 4 characterized characterize VERB ijassa-1301 42 5 by by ADP ijassa-1301 42 6 the the DET ijassa-1301 42 7 global global ADJ ijassa-1301 42 8 stability stability NOUN ijassa-1301 42 9 of of ADP ijassa-1301 42 10 a a DET ijassa-1301 42 11 stationary stationary ADJ ijassa-1301 42 12 solution solution NOUN ijassa-1301 42 13 , , PUNCT ijassa-1301 42 14 which which PRON ijassa-1301 42 15 is be AUX ijassa-1301 42 16 sometimes sometimes ADV ijassa-1301 42 17 economically economically ADV ijassa-1301 42 18 impractical impractical ADJ ijassa-1301 42 19 . . PUNCT ijassa-1301 43 1 at at ADP ijassa-1301 43 2 the the DET ijassa-1301 43 3 same same ADJ ijassa-1301 43 4 time time NOUN ijassa-1301 43 5 , , PUNCT ijassa-1301 43 6 when when SCONJ ijassa-1301 43 7 the the DET ijassa-1301 43 8 model model NOUN ijassa-1301 43 9 parameters parameter NOUN ijassa-1301 43 10 change change VERB ijassa-1301 43 11 , , PUNCT ijassa-1301 43 12 a a DET ijassa-1301 43 13 bifurcation bifurcation NOUN ijassa-1301 43 14 effect effect NOUN ijassa-1301 43 15 occurs occur VERB ijassa-1301 43 16 and and CCONJ ijassa-1301 43 17 multiple multiple ADJ ijassa-1301 43 18 stationary stationary ADJ ijassa-1301 43 19 solutions solution NOUN ijassa-1301 43 20 appear appear VERB ijassa-1301 43 21 , , PUNCT ijassa-1301 43 22 among among ADP ijassa-1301 43 23 which which PRON ijassa-1301 43 24 there there PRON ijassa-1301 43 25 are be VERB ijassa-1301 43 26 economically economically ADV ijassa-1301 43 27 feasible feasible ADJ ijassa-1301 43 28 ones one NOUN ijassa-1301 43 29 . . PUNCT ijassa-1301 44 1 thus thus ADV ijassa-1301 44 2 , , PUNCT ijassa-1301 44 3 in in ADP ijassa-1301 44 4 this this DET ijassa-1301 44 5 model model NOUN ijassa-1301 44 6 , , PUNCT ijassa-1301 44 7 the the DET ijassa-1301 44 8 presence presence NOUN ijassa-1301 44 9 of of ADP ijassa-1301 44 10 bifurcation bifurcation NOUN ijassa-1301 44 11 makes make VERB ijassa-1301 44 12 it it PRON ijassa-1301 44 13 possible possible ADJ ijassa-1301 44 14 to to PART ijassa-1301 44 15 obtain obtain VERB ijassa-1301 44 16 solutions solution NOUN ijassa-1301 44 17 that that PRON ijassa-1301 44 18 describe describe VERB ijassa-1301 44 19 the the DET ijassa-1301 44 20 optimal optimal ADJ ijassa-1301 44 21 functioning functioning NOUN ijassa-1301 44 22 of of ADP ijassa-1301 44 23 the the DET ijassa-1301 44 24 system system NOUN ijassa-1301 44 25 . . PUNCT ijassa-1301 45 1 2 2 X ijassa-1301 45 2 . . X ijassa-1301 45 3 problem problem NOUN ijassa-1301 45 4 statement statement NOUN ijassa-1301 45 5 consider consider VERB ijassa-1301 45 6 the the DET ijassa-1301 45 7 movement movement NOUN ijassa-1301 45 8 of of ADP ijassa-1301 45 9 goods good NOUN ijassa-1301 45 10 on on ADP ijassa-1301 45 11 a a DET ijassa-1301 45 12 section section NOUN ijassa-1301 45 13 of of ADP ijassa-1301 45 14 the the DET ijassa-1301 45 15 railway railway NOUN ijassa-1301 45 16 network network NOUN ijassa-1301 45 17 between between ADP ijassa-1301 45 18 two two NUM ijassa-1301 45 19 nodal nodal NOUN ijassa-1301 45 20 stations station NOUN ijassa-1301 45 21 connected connect VERB ijassa-1301 45 22 by by ADP ijassa-1301 45 23 a a DET ijassa-1301 45 24 set set NOUN ijassa-1301 45 25 of of ADP ijassa-1301 45 26 intermediate intermediate ADJ ijassa-1301 45 27 stations station NOUN ijassa-1301 45 28 . . PUNCT ijassa-1301 46 1 denoting denote VERB ijassa-1301 46 2 the the DET ijassa-1301 46 3 number number NOUN ijassa-1301 46 4 of of ADP ijassa-1301 46 5 intermediate intermediate ADJ ijassa-1301 46 6 stations station NOUN ijassa-1301 46 7 by by ADP ijassa-1301 46 8 π‘š π‘š PROPN ijassa-1301 46 9 , , PUNCT ijassa-1301 46 10 we we PRON ijassa-1301 46 11 get get VERB ijassa-1301 46 12 the the DET ijassa-1301 46 13 following follow VERB ijassa-1301 46 14 set set NOUN ijassa-1301 46 15 of of ADP ijassa-1301 46 16 station station NOUN ijassa-1301 46 17 numbers number NOUN ijassa-1301 46 18 { { PUNCT ijassa-1301 46 19 0,1 0,1 NOUN ijassa-1301 46 20 , , PUNCT ijassa-1301 46 21 . . PUNCT ijassa-1301 46 22 . . PUNCT ijassa-1301 47 1 , , PUNCT ijassa-1301 47 2 π‘š π‘š X ijassa-1301 47 3 , , PUNCT ijassa-1301 47 4 π‘š π‘š X ijassa-1301 47 5 + + NOUN ijassa-1301 47 6 1 1 NUM ijassa-1301 47 7 } } PUNCT ijassa-1301 47 8 , , PUNCT ijassa-1301 47 9 where where SCONJ ijassa-1301 47 10 0 0 X ijassa-1301 47 11 – – PUNCT ijassa-1301 47 12 is be AUX ijassa-1301 47 13 the the DET ijassa-1301 47 14 number number NOUN ijassa-1301 47 15 of of ADP ijassa-1301 47 16 the the DET ijassa-1301 47 17 initial initial ADJ ijassa-1301 47 18 node node ADJ ijassa-1301 47 19 station station NOUN ijassa-1301 47 20 , , PUNCT ijassa-1301 47 21 and and CCONJ ijassa-1301 47 22 , , PUNCT ijassa-1301 47 23 Π° Π° PROPN ijassa-1301 47 24 π‘š π‘š PROPN ijassa-1301 47 25 + + PROPN ijassa-1301 47 26 1 1 NUM ijassa-1301 47 27 – – PUNCT ijassa-1301 47 28 is be AUX ijassa-1301 47 29 the the DET ijassa-1301 47 30 number number NOUN ijassa-1301 47 31 of of ADP ijassa-1301 47 32 the the DET ijassa-1301 47 33 final final ADJ ijassa-1301 47 34 node node NOUN ijassa-1301 47 35 station station NOUN ijassa-1301 47 36 . . PUNCT ijassa-1301 48 1 denote denote VERB ijassa-1301 48 2 by by ADP ijassa-1301 48 3 𝑛 𝑛 DET ijassa-1301 48 4 the the DET ijassa-1301 48 5 number number NOUN ijassa-1301 48 6 of of ADP ijassa-1301 48 7 roads road NOUN ijassa-1301 48 8 at at ADP ijassa-1301 48 9 the the DET ijassa-1301 48 10 station station NOUN ijassa-1301 48 11 with with ADP ijassa-1301 48 12 the the DET ijassa-1301 48 13 number number NOUN ijassa-1301 48 14 𝑖. 𝑖. NOUN ijassa-1301 49 1 we we PRON ijassa-1301 49 2 assume assume VERB ijassa-1301 49 3 that that SCONJ ijassa-1301 49 4 all all DET ijassa-1301 49 5 paths path NOUN ijassa-1301 49 6 are be AUX ijassa-1301 49 7 used use VERB ijassa-1301 49 8 with with ADP ijassa-1301 49 9 the the DET ijassa-1301 49 10 same same ADJ ijassa-1301 49 11 degree degree NOUN ijassa-1301 49 12 of of ADP ijassa-1301 49 13 efficiency efficiency NOUN ijassa-1301 49 14 . . PUNCT ijassa-1301 50 1 consider consider VERB ijassa-1301 50 2 discrete discrete ADJ ijassa-1301 50 3 moments moment NOUN ijassa-1301 50 4 of of ADP ijassa-1301 50 5 time time NOUN ijassa-1301 50 6 𝑑 𝑑 PROPN ijassa-1301 50 7 , , PUNCT ijassa-1301 50 8 𝑑 𝑑 PROPN ijassa-1301 50 9 , , PUNCT ijassa-1301 50 10 𝑑 𝑑 PROPN ijassa-1301 50 11 , , PUNCT ijassa-1301 50 12 . . PUNCT ijassa-1301 50 13 . . PUNCT ijassa-1301 50 14 . . PUNCT ijassa-1301 51 1 ; ; PUNCT ijassa-1301 51 2 𝑑 𝑑 PROPN ijassa-1301 51 3 = = SYM ijassa-1301 51 4 𝑑 𝑑 PROPN ijassa-1301 51 5 + + X ijassa-1301 51 6 δ𝑑 δ𝑑 PROPN ijassa-1301 51 7 , , PUNCT ijassa-1301 51 8 π‘˜ π‘˜ NOUN ijassa-1301 51 9 = = SYM ijassa-1301 51 10 1,2 1,2 NUM ijassa-1301 51 11 , , PUNCT ijassa-1301 51 12 . . PUNCT ijassa-1301 52 1 .. .. PUNCT ijassa-1301 52 2 let let VERB ijassa-1301 52 3 𝑉 𝑉 PROPN ijassa-1301 52 4 ( ( PUNCT ijassa-1301 52 5 𝑑 𝑑 PROPN ijassa-1301 52 6 ) ) PUNCT ijassa-1301 52 7 is be AUX ijassa-1301 52 8 the the DET ijassa-1301 52 9 volume volume NOUN ijassa-1301 52 10 of of ADP ijassa-1301 52 11 cargo cargo NOUN ijassa-1301 52 12 received receive VERB ijassa-1301 52 13 on on ADP ijassa-1301 52 14 the the DET ijassa-1301 52 15 𝑗th 𝑗th PROPN ijassa-1301 52 16 road road NOUN ijassa-1301 52 17 of of ADP ijassa-1301 52 18 the the DET ijassa-1301 52 19 𝑖th 𝑖th NOUN ijassa-1301 52 20 station station NOUN ijassa-1301 52 21 for for ADP ijassa-1301 52 22 a a DET ijassa-1301 52 23 period period NOUN ijassa-1301 52 24 of of ADP ijassa-1301 52 25 time time NOUN ijassa-1301 52 26 [ [ X ijassa-1301 52 27 𝑑 𝑑 X ijassa-1301 52 28 , , PUNCT ijassa-1301 52 29 𝑑 𝑑 X ijassa-1301 52 30 ] ] X ijassa-1301 52 31 , , PUNCT ijassa-1301 52 32 and and CCONJ ijassa-1301 52 33 𝑉 𝑉 PROPN ijassa-1301 52 34 ( ( PUNCT ijassa-1301 52 35 𝑑 𝑑 PROPN ijassa-1301 52 36 ) ) PUNCT ijassa-1301 52 37 is be AUX ijassa-1301 52 38 the the DET ijassa-1301 52 39 volume volume NOUN ijassa-1301 52 40 of of ADP ijassa-1301 52 41 cargo cargo NOUN ijassa-1301 52 42 sent send VERB ijassa-1301 52 43 from from ADP ijassa-1301 52 44 the the DET ijassa-1301 52 45 𝑖th 𝑖th ADJ ijassa-1301 52 46 road road NOUN ijassa-1301 52 47 of of ADP ijassa-1301 52 48 the the DET ijassa-1301 52 49 𝑖th 𝑖th NOUN ijassa-1301 52 50 station station NOUN ijassa-1301 52 51 for for ADP ijassa-1301 52 52 a a DET ijassa-1301 52 53 period period NOUN ijassa-1301 52 54 of of ADP ijassa-1301 52 55 time time NOUN ijassa-1301 52 56 [ [ X ijassa-1301 52 57 𝑑 𝑑 X ijassa-1301 52 58 , , PUNCT ijassa-1301 52 59 𝑑 𝑑 X ijassa-1301 52 60 ] ] PUNCT ijassa-1301 52 61 . . PUNCT ijassa-1301 53 1 denote denote NOUN ijassa-1301 53 2 bifurcation bifurcation NOUN ijassa-1301 53 3 in in ADP ijassa-1301 53 4 the the DET ijassa-1301 53 5 model model NOUN ijassa-1301 53 6 of of ADP ijassa-1301 53 7 cargo cargo NOUN ijassa-1301 53 8 transportation transportation NOUN ijassa-1301 53 9 organization organization NOUN ijassa-1301 53 10 81 81 NUM ijassa-1301 53 11 copyright copyright NOUN ijassa-1301 53 12 Β© Β© PROPN ijassa-1301 53 13 0000 0000 NUM ijassa-1301 53 14 assa assa NOUN ijassa-1301 53 15 . . PUNCT ijassa-1301 54 1 adv adv PROPN ijassa-1301 54 2 . . PUNCT ijassa-1301 55 1 in in ADP ijassa-1301 55 2 systems system NOUN ijassa-1301 55 3 science science NOUN ijassa-1301 55 4 and and CCONJ ijassa-1301 55 5 appl appl NOUN ijassa-1301 55 6 . . PUNCT ijassa-1301 56 1 ( ( PUNCT ijassa-1301 56 2 0000 0000 NUM ijassa-1301 56 3 ) ) PUNCT ijassa-1301 57 1 π‘₯ π‘₯ PROPN ijassa-1301 57 2 ( ( PUNCT ijassa-1301 57 3 𝑑 𝑑 PROPN ijassa-1301 57 4 ) ) PUNCT ijassa-1301 57 5 = = SYM ijassa-1301 57 6 𝑉 𝑉 PROPN ijassa-1301 57 7 ( ( PUNCT ijassa-1301 57 8 𝑑 𝑑 PROPN ijassa-1301 57 9 ) ) PUNCT ijassa-1301 57 10 βˆ’ βˆ’ PROPN ijassa-1301 57 11 𝑉 𝑉 PROPN ijassa-1301 57 12 ( ( PUNCT ijassa-1301 57 13 𝑑 𝑑 PROPN ijassa-1301 57 14 ) ) PUNCT ijassa-1301 57 15 𝑉 𝑉 PROPN ijassa-1301 57 16 ( ( PUNCT ijassa-1301 57 17 𝑑 𝑑 PROPN ijassa-1301 57 18 ) ) PUNCT ijassa-1301 57 19 , , PUNCT ijassa-1301 57 20 𝑖𝑓 𝑖𝑓 X ijassa-1301 57 21 𝑉 𝑉 PROPN ijassa-1301 57 22 ( ( PUNCT ijassa-1301 57 23 𝑑 𝑑 PROPN ijassa-1301 57 24 ) ) PUNCT ijassa-1301 57 25 > > X ijassa-1301 57 26 𝑉 𝑉 PROPN ijassa-1301 57 27 ( ( PUNCT ijassa-1301 57 28 𝑑 𝑑 PROPN ijassa-1301 57 29 ) ) PUNCT ijassa-1301 57 30 0 0 NUM ijassa-1301 57 31 , , PUNCT ijassa-1301 57 32 𝑖𝑓 𝑖𝑓 X ijassa-1301 57 33 𝑉 𝑉 PROPN ijassa-1301 57 34 ( ( PUNCT ijassa-1301 57 35 𝑑 𝑑 PROPN ijassa-1301 57 36 ) ) PUNCT ijassa-1301 57 37 ≀ ≀ PROPN ijassa-1301 57 38 𝑉 𝑉 PROPN ijassa-1301 57 39 ( ( PUNCT ijassa-1301 57 40 𝑑 𝑑 PROPN ijassa-1301 57 41 ) ) PUNCT ijassa-1301 57 42 . . PUNCT ijassa-1301 58 1 it it PRON ijassa-1301 58 2 's be AUX ijassa-1301 58 3 obvious obvious ADJ ijassa-1301 58 4 that that SCONJ ijassa-1301 58 5 0 0 NUM ijassa-1301 58 6 ≀ ≀ NUM ijassa-1301 58 7 π‘₯ π‘₯ PRON ijassa-1301 58 8 ( ( PUNCT ijassa-1301 58 9 𝑑 𝑑 PROPN ijassa-1301 58 10 ) ) PUNCT ijassa-1301 58 11 ≀ ≀ NUM ijassa-1301 58 12 1 1 NUM ijassa-1301 58 13 , , PUNCT ijassa-1301 58 14 𝑖 𝑖 NOUN ijassa-1301 58 15 = = SYM ijassa-1301 58 16 0,1 0,1 NUM ijassa-1301 58 17 , , PUNCT ijassa-1301 58 18 . . PUNCT ijassa-1301 58 19 . . PUNCT ijassa-1301 59 1 . . PUNCT ijassa-1301 60 1 , , PUNCT ijassa-1301 60 2 π‘š π‘š X ijassa-1301 60 3 + + ADJ ijassa-1301 60 4 1 1 NUM ijassa-1301 60 5 ; ; PUNCT ijassa-1301 60 6 𝑗 𝑗 NOUN ijassa-1301 60 7 = = SYM ijassa-1301 60 8 1,2 1,2 NUM ijassa-1301 60 9 , , PUNCT ijassa-1301 60 10 . . PUNCT ijassa-1301 60 11 . . PUNCT ijassa-1301 61 1 . . PUNCT ijassa-1301 62 1 , , PUNCT ijassa-1301 62 2 𝑛 𝑛 PROPN ijassa-1301 62 3 and and CCONJ ijassa-1301 62 4 characterize characterize VERB ijassa-1301 62 5 the the DET ijassa-1301 62 6 degree degree NOUN ijassa-1301 62 7 of of ADP ijassa-1301 62 8 inconsistency inconsistency NOUN ijassa-1301 62 9 between between ADP ijassa-1301 62 10 receiving receive VERB ijassa-1301 62 11 and and CCONJ ijassa-1301 62 12 sending send VERB ijassa-1301 62 13 on on ADP ijassa-1301 62 14 the the DET ijassa-1301 62 15 𝑗th 𝑗th PROPN ijassa-1301 62 16 road road NOUN ijassa-1301 62 17 of of ADP ijassa-1301 62 18 the the DET ijassa-1301 62 19 𝑖th 𝑖th NOUN ijassa-1301 62 20 station station NOUN ijassa-1301 62 21 at at ADP ijassa-1301 62 22 time time NOUN ijassa-1301 62 23 𝑑 𝑑 PROPN ijassa-1301 62 24 . . PUNCT ijassa-1301 63 1 denote denote VERB ijassa-1301 63 2 𝑧 𝑧 PROPN ijassa-1301 63 3 ( ( PUNCT ijassa-1301 63 4 𝑑 𝑑 X ijassa-1301 63 5 ) ) PUNCT ijassa-1301 63 6 = = SYM ijassa-1301 64 1 1 1 NUM ijassa-1301 64 2 𝑛 𝑛 DET ijassa-1301 64 3 π‘₯ π‘₯ X ijassa-1301 64 4 ( ( PUNCT ijassa-1301 64 5 𝑑 𝑑 PROPN ijassa-1301 64 6 ) ) PUNCT ijassa-1301 64 7 . . PUNCT ijassa-1301 65 1 it it PRON ijassa-1301 65 2 is be AUX ijassa-1301 65 3 also also ADV ijassa-1301 65 4 obvious obvious ADJ ijassa-1301 65 5 that that SCONJ ijassa-1301 65 6 0 0 NUM ijassa-1301 65 7 ≀ ≀ NUM ijassa-1301 65 8 𝑧 𝑧 PRON ijassa-1301 65 9 ( ( PUNCT ijassa-1301 65 10 𝑑 𝑑 PROPN ijassa-1301 65 11 ) ) PUNCT ijassa-1301 65 12 ≀ ≀ NUM ijassa-1301 65 13 1 1 NUM ijassa-1301 65 14 and and CCONJ ijassa-1301 65 15 characterizes characterize VERB ijassa-1301 65 16 the the DET ijassa-1301 65 17 degree degree NOUN ijassa-1301 65 18 of of ADP ijassa-1301 65 19 inconsistency inconsistency NOUN ijassa-1301 65 20 between between ADP ijassa-1301 65 21 receiving receive VERB ijassa-1301 65 22 and and CCONJ ijassa-1301 65 23 sending send VERB ijassa-1301 65 24 at at ADP ijassa-1301 65 25 the the DET ijassa-1301 65 26 𝑖th 𝑖th NOUN ijassa-1301 65 27 station station NOUN ijassa-1301 65 28 at at ADP ijassa-1301 65 29 time time NOUN ijassa-1301 65 30 𝑑 𝑑 PROPN ijassa-1301 65 31 . . PUNCT ijassa-1301 66 1 the the DET ijassa-1301 66 2 technical technical ADJ ijassa-1301 66 3 potential potential NOUN ijassa-1301 66 4 of of ADP ijassa-1301 66 5 the the DET ijassa-1301 66 6 station station NOUN ijassa-1301 66 7 is be AUX ijassa-1301 66 8 determined determine VERB ijassa-1301 66 9 by by ADP ijassa-1301 66 10 the the DET ijassa-1301 66 11 maximum maximum ADJ ijassa-1301 66 12 allowable allowable ADJ ijassa-1301 66 13 increase increase NOUN ijassa-1301 66 14 in in ADP ijassa-1301 66 15 the the DET ijassa-1301 66 16 degree degree NOUN ijassa-1301 66 17 of of ADP ijassa-1301 66 18 inconsistency inconsistency NOUN ijassa-1301 66 19 between between ADP ijassa-1301 66 20 the the DET ijassa-1301 66 21 reception reception NOUN ijassa-1301 66 22 and and CCONJ ijassa-1301 66 23 dispatch dispatch NOUN ijassa-1301 66 24 of of ADP ijassa-1301 66 25 goods good NOUN ijassa-1301 66 26 per per ADP ijassa-1301 66 27 unit unit NOUN ijassa-1301 66 28 of of ADP ijassa-1301 66 29 time time NOUN ijassa-1301 66 30 and and CCONJ ijassa-1301 66 31 is be AUX ijassa-1301 66 32 given give VERB ijassa-1301 66 33 by by ADP ijassa-1301 66 34 a a DET ijassa-1301 66 35 non non ADJ ijassa-1301 66 36 - - ADJ ijassa-1301 66 37 negative negative ADJ ijassa-1301 66 38 decreasing decrease VERB ijassa-1301 66 39 function function NOUN ijassa-1301 66 40 ( ( PUNCT ijassa-1301 66 41 ) ) PUNCT ijassa-1301 66 42 zοͺ zοͺ NUM ijassa-1301 66 43 defined define VERB ijassa-1301 66 44 on on ADP ijassa-1301 66 45 the the DET ijassa-1301 66 46 segment segment NOUN ijassa-1301 66 47 [ [ X ijassa-1301 66 48 0,1 0,1 NUM ijassa-1301 66 49 ] ] PUNCT ijassa-1301 66 50 and and CCONJ ijassa-1301 66 51 satisfying satisfy VERB ijassa-1301 66 52 the the DET ijassa-1301 66 53 condition condition NOUN ijassa-1301 66 54 πœ‘(1 πœ‘(1 PROPN ijassa-1301 66 55 ) ) PUNCT ijassa-1301 67 1 = = SYM ijassa-1301 67 2 0 0 X ijassa-1301 67 3 . . PUNCT ijassa-1301 68 1 the the DET ijassa-1301 68 2 initial initial ADJ ijassa-1301 68 3 node node NOUN ijassa-1301 68 4 station station NOUN ijassa-1301 68 5 accepts accept VERB ijassa-1301 68 6 cargo cargo NOUN ijassa-1301 68 7 depending depend VERB ijassa-1301 68 8 on on ADP ijassa-1301 68 9 the the DET ijassa-1301 68 10 demand demand NOUN ijassa-1301 68 11 for for ADP ijassa-1301 68 12 transportation transportation NOUN ijassa-1301 68 13 within within ADP ijassa-1301 68 14 its its PRON ijassa-1301 68 15 technical technical ADJ ijassa-1301 68 16 potential potential NOUN ijassa-1301 68 17 and and CCONJ ijassa-1301 68 18 sends send VERB ijassa-1301 68 19 it it PRON ijassa-1301 68 20 to to ADP ijassa-1301 68 21 the the DET ijassa-1301 68 22 next next ADJ ijassa-1301 68 23 station station NOUN ijassa-1301 68 24 within within ADP ijassa-1301 68 25 its its PRON ijassa-1301 68 26 technical technical ADJ ijassa-1301 68 27 potential potential NOUN ijassa-1301 68 28 . . PUNCT ijassa-1301 69 1 each each PRON ijassa-1301 69 2 of of ADP ijassa-1301 69 3 the the DET ijassa-1301 69 4 intermediate intermediate ADJ ijassa-1301 69 5 stations station NOUN ijassa-1301 69 6 receives receive VERB ijassa-1301 69 7 cargo cargo NOUN ijassa-1301 69 8 within within ADP ijassa-1301 69 9 its its PRON ijassa-1301 69 10 technical technical ADJ ijassa-1301 69 11 potential potential NOUN ijassa-1301 69 12 and and CCONJ ijassa-1301 69 13 sends send VERB ijassa-1301 69 14 it it PRON ijassa-1301 69 15 within within ADP ijassa-1301 69 16 the the DET ijassa-1301 69 17 technical technical ADJ ijassa-1301 69 18 potential potential NOUN ijassa-1301 69 19 of of ADP ijassa-1301 69 20 the the DET ijassa-1301 69 21 next next ADJ ijassa-1301 69 22 station station NOUN ijassa-1301 69 23 . . PUNCT ijassa-1301 70 1 the the DET ijassa-1301 70 2 final final ADJ ijassa-1301 70 3 node node NOUN ijassa-1301 70 4 station station NOUN ijassa-1301 70 5 accepts accept VERB ijassa-1301 70 6 cargo cargo NOUN ijassa-1301 70 7 within within ADP ijassa-1301 70 8 its its PRON ijassa-1301 70 9 technical technical ADJ ijassa-1301 70 10 potential potential NOUN ijassa-1301 70 11 and and CCONJ ijassa-1301 70 12 distributes distribute VERB ijassa-1301 70 13 it it PRON ijassa-1301 70 14 in in ADP ijassa-1301 70 15 a a DET ijassa-1301 70 16 certain certain ADJ ijassa-1301 70 17 mode mode NOUN ijassa-1301 70 18 . . PUNCT ijassa-1301 71 1 taking take VERB ijassa-1301 71 2 into into ADP ijassa-1301 71 3 account account NOUN ijassa-1301 71 4 the the DET ijassa-1301 71 5 above above ADJ ijassa-1301 71 6 , , PUNCT ijassa-1301 71 7 we we PRON ijassa-1301 71 8 will will AUX ijassa-1301 71 9 write write VERB ijassa-1301 71 10 down down ADP ijassa-1301 71 11 a a DET ijassa-1301 71 12 system system NOUN ijassa-1301 71 13 of of ADP ijassa-1301 71 14 finite finite ADJ ijassa-1301 71 15 - - PUNCT ijassa-1301 71 16 difference difference NOUN ijassa-1301 71 17 equations equation NOUN ijassa-1301 71 18 describing describe VERB ijassa-1301 71 19 the the DET ijassa-1301 71 20 change change NOUN ijassa-1301 71 21 in in ADP ijassa-1301 71 22 the the DET ijassa-1301 71 23 degree degree NOUN ijassa-1301 71 24 of of ADP ijassa-1301 71 25 inconsistency inconsistency NOUN ijassa-1301 71 26 between between ADP ijassa-1301 71 27 the the DET ijassa-1301 71 28 reception reception NOUN ijassa-1301 71 29 and and CCONJ ijassa-1301 71 30 dispatch dispatch NOUN ijassa-1301 71 31 of of ADP ijassa-1301 71 32 goods good NOUN ijassa-1301 71 33 at at ADP ijassa-1301 71 34 stations station NOUN ijassa-1301 71 35 . . PUNCT ijassa-1301 72 1 𝑧 𝑧 PROPN ijassa-1301 72 2 ( ( PUNCT ijassa-1301 72 3 𝑑 𝑑 X ijassa-1301 72 4 ) ) PUNCT ijassa-1301 72 5 = = SYM ijassa-1301 73 1 𝑧 𝑧 PROPN ijassa-1301 73 2 ( ( PUNCT ijassa-1301 73 3 𝑑 𝑑 X ijassa-1301 73 4 ) ) PUNCT ijassa-1301 74 1 + + NUM ijassa-1301 74 2 min min NOUN ijassa-1301 74 3 𝑑 𝑑 NOUN ijassa-1301 74 4 , , PUNCT ijassa-1301 74 5 πœ‘ πœ‘ PROPN ijassa-1301 74 6 𝑧 𝑧 PROPN ijassa-1301 74 7 ( ( PUNCT ijassa-1301 74 8 𝑑 𝑑 PROPN ijassa-1301 74 9 ) ) PUNCT ijassa-1301 74 10 βˆ’ βˆ’ PROPN ijassa-1301 74 11 πœ†πœ‘ πœ†πœ‘ INTJ ijassa-1301 74 12 𝑧 𝑧 PROPN ijassa-1301 74 13 ( ( PUNCT ijassa-1301 74 14 𝑑 𝑑 PROPN ijassa-1301 74 15 ) ) PUNCT ijassa-1301 74 16 δ𝑑 δ𝑑 PROPN ijassa-1301 74 17 , , PUNCT ijassa-1301 74 18 π‘˜ π‘˜ X ijassa-1301 74 19 = = SYM ijassa-1301 74 20 1 1 NUM ijassa-1301 74 21 , , PUNCT ijassa-1301 74 22 2 2 NUM ijassa-1301 74 23 , , PUNCT ijassa-1301 74 24 3 3 NUM ijassa-1301 74 25 … … PUNCT ijassa-1301 74 26 ( ( PUNCT ijassa-1301 74 27 2.1 2.1 NUM ijassa-1301 74 28 ) ) PUNCT ijassa-1301 74 29 𝑧 𝑧 PROPN ijassa-1301 74 30 ( ( PUNCT ijassa-1301 74 31 𝑑 𝑑 X ijassa-1301 74 32 ) ) PUNCT ijassa-1301 74 33 = = SYM ijassa-1301 74 34 𝑧 𝑧 PROPN ijassa-1301 74 35 ( ( PUNCT ijassa-1301 74 36 𝑑 𝑑 PROPN ijassa-1301 74 37 ) ) PUNCT ijassa-1301 75 1 + + CCONJ ijassa-1301 75 2 πœ†πœ‘ πœ†πœ‘ ADP ijassa-1301 75 3 𝑧 𝑧 PROPN ijassa-1301 75 4 ( ( PUNCT ijassa-1301 75 5 𝑑 𝑑 PROPN ijassa-1301 75 6 ) ) PUNCT ijassa-1301 75 7 βˆ’ βˆ’ PROPN ijassa-1301 75 8 πœ†πœ‘ πœ†πœ‘ INTJ ijassa-1301 75 9 𝑧 𝑧 PROPN ijassa-1301 75 10 ( ( PUNCT ijassa-1301 75 11 𝑑 𝑑 PROPN ijassa-1301 75 12 ) ) PUNCT ijassa-1301 75 13 δ𝑑 δ𝑑 PROPN ijassa-1301 75 14 , , PUNCT ijassa-1301 75 15 𝑖 𝑖 NOUN ijassa-1301 75 16 = = SYM ijassa-1301 75 17 1 1 NUM ijassa-1301 75 18 , , PUNCT ijassa-1301 75 19 π‘š π‘š PROPN ijassa-1301 75 20 , , PUNCT ijassa-1301 75 21 π‘˜ π‘˜ X ijassa-1301 75 22 = = SYM ijassa-1301 75 23 1 1 NUM ijassa-1301 75 24 , , PUNCT ijassa-1301 75 25 2 2 NUM ijassa-1301 75 26 , , PUNCT ijassa-1301 75 27 3 3 NUM ijassa-1301 75 28 … … PUNCT ijassa-1301 75 29 ( ( PUNCT ijassa-1301 75 30 2.2 2.2 NUM ijassa-1301 75 31 ) ) PUNCT ijassa-1301 75 32 𝑧 𝑧 PROPN ijassa-1301 75 33 ( ( PUNCT ijassa-1301 75 34 𝑑 𝑑 X ijassa-1301 75 35 ) ) PUNCT ijassa-1301 75 36 = = SYM ijassa-1301 75 37 𝑧 𝑧 PROPN ijassa-1301 75 38 ( ( PUNCT ijassa-1301 75 39 𝑑 𝑑 PROPN ijassa-1301 75 40 ) ) PUNCT ijassa-1301 75 41 + + CCONJ ijassa-1301 75 42 πœ†πœ‘ πœ†πœ‘ ADP ijassa-1301 75 43 𝑧 𝑧 PROPN ijassa-1301 75 44 ( ( PUNCT ijassa-1301 75 45 𝑑 𝑑 PROPN ijassa-1301 75 46 ) ) PUNCT ijassa-1301 75 47 βˆ’ βˆ’ PROPN ijassa-1301 75 48 𝑑 𝑑 PROPN ijassa-1301 75 49 δ𝑑 δ𝑑 PROPN ijassa-1301 75 50 , , PUNCT ijassa-1301 75 51 π‘˜ π‘˜ X ijassa-1301 75 52 = = NOUN ijassa-1301 75 53 1 1 NUM ijassa-1301 75 54 , , PUNCT ijassa-1301 75 55 2 2 NUM ijassa-1301 75 56 , , PUNCT ijassa-1301 75 57 3 3 NUM ijassa-1301 75 58 … … PUNCT ijassa-1301 75 59 ( ( PUNCT ijassa-1301 75 60 2.3 2.3 NUM ijassa-1301 75 61 ) ) PUNCT ijassa-1301 75 62 0 0 NUM ijassa-1301 76 1 ≀ ≀ NOUN ijassa-1301 76 2 𝑧 𝑧 PRON ijassa-1301 76 3 ( ( PUNCT ijassa-1301 76 4 𝑑 𝑑 PROPN ijassa-1301 76 5 ) ) PUNCT ijassa-1301 76 6 ≀ ≀ NUM ijassa-1301 76 7 1 1 NUM ijassa-1301 76 8 , , PUNCT ijassa-1301 76 9 𝑖 𝑖 NOUN ijassa-1301 76 10 = = SYM ijassa-1301 76 11 0 0 NUM ijassa-1301 76 12 , , PUNCT ijassa-1301 76 13 1 1 NUM ijassa-1301 76 14 , , PUNCT ijassa-1301 76 15 … … PUNCT ijassa-1301 76 16 , , PUNCT ijassa-1301 76 17 π‘š π‘š X ijassa-1301 76 18 + + NOUN ijassa-1301 76 19 1 1 NUM ijassa-1301 76 20 , , PUNCT ijassa-1301 76 21 π‘˜ π‘˜ X ijassa-1301 76 22 = = SYM ijassa-1301 76 23 0 0 NUM ijassa-1301 76 24 , , PUNCT ijassa-1301 76 25 1 1 NUM ijassa-1301 76 26 , , PUNCT ijassa-1301 76 27 2 2 NUM ijassa-1301 76 28 , , PUNCT ijassa-1301 76 29 … … PUNCT ijassa-1301 76 30 ( ( PUNCT ijassa-1301 76 31 2.4 2.4 NUM ijassa-1301 76 32 ) ) PUNCT ijassa-1301 76 33 here here ADV ijassa-1301 76 34 𝑑 𝑑 PROPN ijassa-1301 76 35 > > X ijassa-1301 76 36 0 0 NUM ijassa-1301 76 37 , , PUNCT ijassa-1301 76 38 0 0 PUNCT ijassa-1301 76 39 < < X ijassa-1301 76 40 πœ† πœ† X ijassa-1301 76 41 ≀ ≀ NUM ijassa-1301 76 42 1 1 NUM ijassa-1301 76 43 , , PUNCT ijassa-1301 76 44 𝑑 𝑑 PROPN ijassa-1301 76 45 > > X ijassa-1301 76 46 0 0 NUM ijassa-1301 76 47 are be AUX ijassa-1301 76 48 the the DET ijassa-1301 76 49 model model NOUN ijassa-1301 76 50 parameters parameter NOUN ijassa-1301 76 51 : : PUNCT ijassa-1301 76 52 𝑑 𝑑 NOUN ijassa-1301 76 53 is be AUX ijassa-1301 76 54 a a DET ijassa-1301 76 55 characteristics characteristic NOUN ijassa-1301 76 56 of of ADP ijassa-1301 76 57 the the DET ijassa-1301 76 58 demand demand NOUN ijassa-1301 76 59 for for ADP ijassa-1301 76 60 transportation transportation NOUN ijassa-1301 76 61 ; ; PUNCT ijassa-1301 76 62 πœ† πœ† PRON ijassa-1301 76 63 is be AUX ijassa-1301 76 64 a a DET ijassa-1301 76 65 characteristics characteristic NOUN ijassa-1301 76 66 of of ADP ijassa-1301 76 67 the the DET ijassa-1301 76 68 degree degree NOUN ijassa-1301 76 69 of of ADP ijassa-1301 76 70 use use NOUN ijassa-1301 76 71 of of ADP ijassa-1301 76 72 the the DET ijassa-1301 76 73 technical technical ADJ ijassa-1301 76 74 potential potential NOUN ijassa-1301 76 75 of of ADP ijassa-1301 76 76 the the DET ijassa-1301 76 77 stations station NOUN ijassa-1301 76 78 ; ; PUNCT ijassa-1301 76 79 𝑑 𝑑 NOUN ijassa-1301 76 80 is be AUX ijassa-1301 76 81 a a DET ijassa-1301 76 82 characteristics characteristic NOUN ijassa-1301 76 83 of of ADP ijassa-1301 76 84 the the DET ijassa-1301 76 85 cargo cargo NOUN ijassa-1301 76 86 distribution distribution NOUN ijassa-1301 76 87 mode mode NOUN ijassa-1301 76 88 from from ADP ijassa-1301 76 89 the the DET ijassa-1301 76 90 final final ADJ ijassa-1301 76 91 node node NOUN ijassa-1301 76 92 station station NOUN ijassa-1301 76 93 . . PUNCT ijassa-1301 77 1 let let VERB ijassa-1301 77 2 's us PRON ijassa-1301 77 3 move move VERB ijassa-1301 77 4 on on ADP ijassa-1301 77 5 to to ADP ijassa-1301 77 6 the the DET ijassa-1301 77 7 continuous continuous ADJ ijassa-1301 77 8 analog analog NOUN ijassa-1301 77 9 of of ADP ijassa-1301 77 10 the the DET ijassa-1301 77 11 system system NOUN ijassa-1301 77 12 of of ADP ijassa-1301 77 13 discrete discrete ADJ ijassa-1301 77 14 - - PUNCT ijassa-1301 77 15 difference difference NOUN ijassa-1301 77 16 equations equation NOUN ijassa-1301 77 17 ( ( PUNCT ijassa-1301 77 18 2.1)–(2.4 2.1)–(2.4 NUM ijassa-1301 77 19 ) ) PUNCT ijassa-1301 77 20 , , PUNCT ijassa-1301 77 21 presented present VERB ijassa-1301 77 22 below below ADP ijassa-1301 77 23 οΏ½ οΏ½ PROPN ijassa-1301 77 24 Μ‡ Μ‡ PROPN ijassa-1301 77 25 οΏ½ οΏ½ PROPN ijassa-1301 77 26 ( ( PUNCT ijassa-1301 77 27 𝑑 𝑑 NOUN ijassa-1301 77 28 ) ) PUNCT ijassa-1301 78 1 = = SYM ijassa-1301 78 2 min(𝑑 min(𝑑 PROPN ijassa-1301 78 3 , , PUNCT ijassa-1301 78 4 πœ‘(𝑧 πœ‘(𝑧 PROPN ijassa-1301 78 5 ( ( PUNCT ijassa-1301 78 6 𝑑 𝑑 NOUN ijassa-1301 78 7 ) ) PUNCT ijassa-1301 78 8 ) ) PUNCT ijassa-1301 78 9 ) ) PUNCT ijassa-1301 79 1 βˆ’ βˆ’ NOUN ijassa-1301 79 2 πœ†πœ‘(𝑧 πœ†πœ‘(𝑧 NUM ijassa-1301 79 3 ( ( PUNCT ijassa-1301 79 4 𝑑 𝑑 NOUN ijassa-1301 79 5 ) ) PUNCT ijassa-1301 79 6 ) ) PUNCT ijassa-1301 79 7 , , PUNCT ijassa-1301 79 8 𝑑 𝑑 PROPN ijassa-1301 79 9 ∈ ∈ PROPN ijassa-1301 80 1 [ [ X ijassa-1301 80 2 𝑑 𝑑 X ijassa-1301 80 3 , , PUNCT ijassa-1301 80 4 + + NOUN ijassa-1301 80 5 ∞ ∞ NOUN ijassa-1301 80 6 ) ) PUNCT ijassa-1301 80 7 , , PUNCT ijassa-1301 80 8 ( ( PUNCT ijassa-1301 80 9 2.5 2.5 NUM ijassa-1301 80 10 ) ) PUNCT ijassa-1301 80 11 οΏ½ οΏ½ PROPN ijassa-1301 80 12 Μ‡ Μ‡ VERB ijassa-1301 80 13 οΏ½ οΏ½ PROPN ijassa-1301 80 14 ( ( PUNCT ijassa-1301 80 15 𝑑 𝑑 NOUN ijassa-1301 80 16 ) ) PUNCT ijassa-1301 80 17 = = SYM ijassa-1301 80 18 πœ†[πœ‘(𝑧 πœ†[πœ‘(𝑧 NUM ijassa-1301 80 19 ( ( PUNCT ijassa-1301 80 20 𝑑 𝑑 NOUN ijassa-1301 80 21 ) ) PUNCT ijassa-1301 80 22 ) ) PUNCT ijassa-1301 81 1 βˆ’ βˆ’ ADP ijassa-1301 81 2 πœ‘(𝑧 πœ‘(𝑧 NOUN ijassa-1301 81 3 ( ( PUNCT ijassa-1301 81 4 𝑑 𝑑 NOUN ijassa-1301 81 5 ) ) PUNCT ijassa-1301 81 6 ) ) PUNCT ijassa-1301 81 7 ] ] PUNCT ijassa-1301 81 8 , , PUNCT ijassa-1301 81 9 𝑖 𝑖 SYM ijassa-1301 81 10 = = SYM ijassa-1301 81 11 1,2 1,2 NUM ijassa-1301 81 12 , , PUNCT ijassa-1301 81 13 . . PUNCT ijassa-1301 81 14 . . PUNCT ijassa-1301 81 15 . . PUNCT ijassa-1301 82 1 , , PUNCT ijassa-1301 82 2 π‘š π‘š X ijassa-1301 82 3 , , PUNCT ijassa-1301 82 4 𝑑 𝑑 PROPN ijassa-1301 82 5 ∈ ∈ PROPN ijassa-1301 82 6 [ [ X ijassa-1301 82 7 𝑑 𝑑 X ijassa-1301 82 8 , , PUNCT ijassa-1301 82 9 + + NOUN ijassa-1301 82 10 ∞ ∞ NOUN ijassa-1301 82 11 ) ) PUNCT ijassa-1301 82 12 , , PUNCT ijassa-1301 82 13 ( ( PUNCT ijassa-1301 82 14 2.6 2.6 NUM ijassa-1301 82 15 ) ) PUNCT ijassa-1301 82 16 οΏ½ οΏ½ PROPN ijassa-1301 82 17 Μ‡ Μ‡ VERB ijassa-1301 82 18 οΏ½ οΏ½ PROPN ijassa-1301 82 19 ( ( PUNCT ijassa-1301 82 20 𝑑 𝑑 NOUN ijassa-1301 82 21 ) ) PUNCT ijassa-1301 82 22 = = SYM ijassa-1301 82 23 πœ†πœ‘(𝑧 πœ†πœ‘(𝑧 X ijassa-1301 82 24 ( ( PUNCT ijassa-1301 82 25 𝑑 𝑑 NOUN ijassa-1301 82 26 ) ) PUNCT ijassa-1301 82 27 ) ) PUNCT ijassa-1301 83 1 βˆ’ βˆ’ PROPN ijassa-1301 83 2 𝑑 𝑑 NOUN ijassa-1301 83 3 , , PUNCT ijassa-1301 83 4 𝑑 𝑑 PROPN ijassa-1301 83 5 ∈ ∈ PROPN ijassa-1301 84 1 [ [ X ijassa-1301 84 2 𝑑 𝑑 X ijassa-1301 84 3 , , PUNCT ijassa-1301 84 4 + + NOUN ijassa-1301 84 5 ∞ ∞ NOUN ijassa-1301 84 6 ) ) PUNCT ijassa-1301 84 7 , , PUNCT ijassa-1301 84 8 ( ( PUNCT ijassa-1301 84 9 2.7 2.7 NUM ijassa-1301 84 10 ) ) PUNCT ijassa-1301 84 11 0 0 NUM ijassa-1301 85 1 ≀ ≀ NUM ijassa-1301 85 2 𝑧 𝑧 PRON ijassa-1301 85 3 ( ( PUNCT ijassa-1301 85 4 𝑑 𝑑 NOUN ijassa-1301 85 5 ) ) PUNCT ijassa-1301 85 6 ≀ ≀ NUM ijassa-1301 85 7 1 1 NUM ijassa-1301 85 8 , , PUNCT ijassa-1301 85 9 𝑖 𝑖 NOUN ijassa-1301 85 10 = = SYM ijassa-1301 85 11 0 0 NUM ijassa-1301 85 12 , , PUNCT ijassa-1301 85 13 1 1 NUM ijassa-1301 85 14 , , PUNCT ijassa-1301 85 15 . . PUNCT ijassa-1301 85 16 . . PUNCT ijassa-1301 85 17 . . PUNCT ijassa-1301 85 18 , , PUNCT ijassa-1301 86 1 π‘š π‘š X ijassa-1301 86 2 + + NOUN ijassa-1301 86 3 1 1 NUM ijassa-1301 86 4 , , PUNCT ijassa-1301 86 5 𝑑 𝑑 PROPN ijassa-1301 86 6 ∈ ∈ PROPN ijassa-1301 86 7 [ [ X ijassa-1301 86 8 𝑑 𝑑 X ijassa-1301 86 9 , , PUNCT ijassa-1301 86 10 + + NOUN ijassa-1301 86 11 ∞ ∞ NOUN ijassa-1301 86 12 ) ) PUNCT ijassa-1301 86 13 . . PUNCT ijassa-1301 87 1 ( ( PUNCT ijassa-1301 87 2 2.8 2.8 NUM ijassa-1301 87 3 ) ) PUNCT ijassa-1301 87 4 next next ADV ijassa-1301 87 5 , , PUNCT ijassa-1301 87 6 consider consider VERB ijassa-1301 87 7 the the DET ijassa-1301 87 8 function function NOUN ijassa-1301 87 9 that that PRON ijassa-1301 87 10 sets set VERB ijassa-1301 87 11 the the DET ijassa-1301 87 12 technical technical ADJ ijassa-1301 87 13 potential potential NOUN ijassa-1301 87 14 of of ADP ijassa-1301 87 15 the the DET ijassa-1301 87 16 stations station NOUN ijassa-1301 87 17 , , PUNCT ijassa-1301 87 18 of of ADP ijassa-1301 87 19 the the DET ijassa-1301 87 20 following follow VERB ijassa-1301 87 21 type type NOUN ijassa-1301 87 22 πœ‘(𝑧 πœ‘(𝑧 NOUN ijassa-1301 87 23 ) ) PUNCT ijassa-1301 87 24 = = SYM ijassa-1301 87 25 π‘Ž(1 π‘Ž(1 NOUN ijassa-1301 87 26 βˆ’ βˆ’ NUM ijassa-1301 87 27 𝑧 𝑧 NOUN ijassa-1301 87 28 ) ) PUNCT ijassa-1301 87 29 , , PUNCT ijassa-1301 87 30 π‘Ž π‘Ž X ijassa-1301 87 31 > > X ijassa-1301 87 32 0 0 NUM ijassa-1301 87 33 . . PUNCT ijassa-1301 88 1 ( ( PUNCT ijassa-1301 88 2 2.9 2.9 NUM ijassa-1301 88 3 ) ) PUNCT ijassa-1301 88 4 82 82 NUM ijassa-1301 89 1 n.k n.k PROPN ijassa-1301 89 2 . . PROPN ijassa-1301 89 3 khachatryan khachatryan PROPN ijassa-1301 89 4 copyright copyright NOUN ijassa-1301 90 1 Β© Β© PROPN ijassa-1301 90 2 0000 0000 NUM ijassa-1301 90 3 assa assa PROPN ijassa-1301 90 4 adv adv PROPN ijassa-1301 90 5 . . PUNCT ijassa-1301 91 1 in in ADP ijassa-1301 91 2 systems system NOUN ijassa-1301 91 3 science science NOUN ijassa-1301 91 4 and and CCONJ ijassa-1301 91 5 appl appl NOUN ijassa-1301 91 6 . . PUNCT ijassa-1301 92 1 ( ( PUNCT ijassa-1301 92 2 0000 0000 NUM ijassa-1301 92 3 ) ) PUNCT ijassa-1301 92 4 the the DET ijassa-1301 92 5 parameter parameter NOUN ijassa-1301 92 6 π‘Ž π‘Ž X ijassa-1301 92 7 > > X ijassa-1301 92 8 0 0 NUM ijassa-1301 92 9 , , PUNCT ijassa-1301 92 10 which which PRON ijassa-1301 92 11 participates participate VERB ijassa-1301 92 12 in in ADP ijassa-1301 92 13 the the DET ijassa-1301 92 14 definition definition NOUN ijassa-1301 92 15 of of ADP ijassa-1301 92 16 the the DET ijassa-1301 92 17 function function NOUN ijassa-1301 92 18 πœ‘(𝑧 πœ‘(𝑧 NOUN ijassa-1301 92 19 ) ) PUNCT ijassa-1301 92 20 , , PUNCT ijassa-1301 92 21 is be AUX ijassa-1301 92 22 a a DET ijassa-1301 92 23 characteristic characteristic NOUN ijassa-1301 92 24 of of ADP ijassa-1301 92 25 the the DET ijassa-1301 92 26 ability ability NOUN ijassa-1301 92 27 of of ADP ijassa-1301 92 28 stations station NOUN ijassa-1301 92 29 to to PART ijassa-1301 92 30 increase increase VERB ijassa-1301 92 31 cargo cargo NOUN ijassa-1301 92 32 traffic traffic NOUN ijassa-1301 92 33 . . PUNCT ijassa-1301 93 1 since since SCONJ ijassa-1301 93 2 πœ‘(𝑧 πœ‘(𝑧 NOUN ijassa-1301 93 3 ) ) PUNCT ijassa-1301 93 4 ≀ ≀ NOUN ijassa-1301 93 5 a a DET ijassa-1301 93 6 for for ADP ijassa-1301 93 7 all all DET ijassa-1301 93 8 0 0 NUM ijassa-1301 93 9 ≀ ≀ NOUN ijassa-1301 93 10 𝑧 𝑧 DET ijassa-1301 93 11 ≀ ≀ NUM ijassa-1301 93 12 1 1 NUM ijassa-1301 93 13 then then ADV ijassa-1301 93 14 the the DET ijassa-1301 93 15 parameter parameter NOUN ijassa-1301 93 16 𝑑 𝑑 PROPN ijassa-1301 93 17 , , PUNCT ijassa-1301 93 18 which which PRON ijassa-1301 93 19 is be AUX ijassa-1301 93 20 a a DET ijassa-1301 93 21 characteristic characteristic NOUN ijassa-1301 93 22 of of ADP ijassa-1301 93 23 the the DET ijassa-1301 93 24 demand demand NOUN ijassa-1301 93 25 for for ADP ijassa-1301 93 26 transportation transportation NOUN ijassa-1301 93 27 and and CCONJ ijassa-1301 93 28 is be AUX ijassa-1301 93 29 involved involve VERB ijassa-1301 93 30 in in ADP ijassa-1301 93 31 equation equation NOUN ijassa-1301 93 32 ( ( PUNCT ijassa-1301 93 33 1.1 1.1 NUM ijassa-1301 93 34 ) ) PUNCT ijassa-1301 93 35 , , PUNCT ijassa-1301 93 36 can can AUX ijassa-1301 93 37 be be AUX ijassa-1301 93 38 represented represent VERB ijassa-1301 93 39 as as SCONJ ijassa-1301 93 40 follows follow VERB ijassa-1301 93 41 : : PUNCT ijassa-1301 93 42 𝑑 𝑑 NOUN ijassa-1301 93 43 = = PUNCT ijassa-1301 93 44 πœ‡π‘Ž πœ‡π‘Ž NOUN ijassa-1301 93 45 , , PUNCT ijassa-1301 93 46 0 0 PUNCT ijassa-1301 93 47 < < X ijassa-1301 93 48 πœ‡ πœ‡ ADP ijassa-1301 93 49 ≀ ≀ NUM ijassa-1301 93 50 1 1 NUM ijassa-1301 93 51 . . PUNCT ijassa-1301 94 1 ( ( PUNCT ijassa-1301 94 2 2.10 2.10 NUM ijassa-1301 94 3 ) ) PUNCT ijassa-1301 94 4 the the DET ijassa-1301 94 5 parameter parameter NOUN ijassa-1301 94 6 𝑑 𝑑 PROPN ijassa-1301 94 7 , , PUNCT ijassa-1301 94 8 which which PRON ijassa-1301 94 9 is be AUX ijassa-1301 94 10 a a DET ijassa-1301 94 11 characteristic characteristic NOUN ijassa-1301 94 12 of of ADP ijassa-1301 94 13 the the DET ijassa-1301 94 14 cargo cargo NOUN ijassa-1301 94 15 distribution distribution NOUN ijassa-1301 94 16 mode mode NOUN ijassa-1301 94 17 from from ADP ijassa-1301 94 18 the the DET ijassa-1301 94 19 final final ADJ ijassa-1301 94 20 node node NOUN ijassa-1301 94 21 station station NOUN ijassa-1301 94 22 , , PUNCT ijassa-1301 94 23 is be AUX ijassa-1301 94 24 represented represent VERB ijassa-1301 94 25 as as SCONJ ijassa-1301 94 26 follows follow VERB ijassa-1301 94 27 : : PUNCT ijassa-1301 94 28 𝑑 𝑑 NOUN ijassa-1301 94 29 = = SYM ijassa-1301 94 30 π›Ύπ‘Ž π›Ύπ‘Ž PROPN ijassa-1301 94 31 , , PUNCT ijassa-1301 94 32 𝛾 𝛾 ADP ijassa-1301 94 33 > > X ijassa-1301 94 34 0 0 NUM ijassa-1301 94 35 . . PUNCT ijassa-1301 95 1 ( ( PUNCT ijassa-1301 95 2 2.11 2.11 NUM ijassa-1301 95 3 ) ) PUNCT ijassa-1301 95 4 let let VERB ijassa-1301 95 5 's us PRON ijassa-1301 95 6 rewrite rewrite VERB ijassa-1301 95 7 the the DET ijassa-1301 95 8 system system NOUN ijassa-1301 95 9 ( ( PUNCT ijassa-1301 95 10 2.5)-(2.8 2.5)-(2.8 NOUN ijassa-1301 95 11 ) ) PUNCT ijassa-1301 95 12 , , PUNCT ijassa-1301 95 13 in in ADP ijassa-1301 95 14 which which PRON ijassa-1301 95 15 the the DET ijassa-1301 95 16 function function NOUN ijassa-1301 95 17 πœ‘(𝑧 πœ‘(𝑧 NOUN ijassa-1301 95 18 ) ) PUNCT ijassa-1301 95 19 is be AUX ijassa-1301 95 20 defined define VERB ijassa-1301 95 21 according accord VERB ijassa-1301 95 22 to to ADP ijassa-1301 95 23 ( ( PUNCT ijassa-1301 95 24 2.9 2.9 NUM ijassa-1301 95 25 ) ) PUNCT ijassa-1301 95 26 , , PUNCT ijassa-1301 95 27 and and CCONJ ijassa-1301 95 28 the the DET ijassa-1301 95 29 parameters parameter NOUN ijassa-1301 95 30 𝑑 𝑑 VERB ijassa-1301 95 31 and and CCONJ ijassa-1301 95 32 𝑑 𝑑 PRON ijassa-1301 95 33 are be AUX ijassa-1301 95 34 defined define VERB ijassa-1301 95 35 according accord VERB ijassa-1301 95 36 to to ADP ijassa-1301 95 37 ( ( PUNCT ijassa-1301 95 38 2.10 2.10 NUM ijassa-1301 95 39 ) ) PUNCT ijassa-1301 95 40 and and CCONJ ijassa-1301 95 41 ( ( PUNCT ijassa-1301 95 42 2.11 2.11 NUM ijassa-1301 95 43 ) ) PUNCT ijassa-1301 95 44 , , PUNCT ijassa-1301 95 45 respectively respectively ADV ijassa-1301 95 46 . . PUNCT ijassa-1301 96 1 οΏ½ οΏ½ PROPN ijassa-1301 96 2 Μ‡ Μ‡ PROPN ijassa-1301 96 3 οΏ½ οΏ½ PROPN ijassa-1301 96 4 ( ( PUNCT ijassa-1301 96 5 𝑑 𝑑 NOUN ijassa-1301 96 6 ) ) PUNCT ijassa-1301 96 7 = = SYM ijassa-1301 96 8 min(πœ‡π‘Ž min(πœ‡π‘Ž NOUN ijassa-1301 96 9 , , PUNCT ijassa-1301 96 10 π‘Ž(1 π‘Ž(1 PROPN ijassa-1301 96 11 βˆ’ βˆ’ PROPN ijassa-1301 96 12 𝑧 𝑧 PROPN ijassa-1301 96 13 ( ( PUNCT ijassa-1301 96 14 𝑑 𝑑 NOUN ijassa-1301 96 15 ) ) PUNCT ijassa-1301 96 16 ) ) PUNCT ijassa-1301 96 17 ) ) PUNCT ijassa-1301 97 1 βˆ’ βˆ’ PROPN ijassa-1301 98 1 πœ†π‘Ž(1 πœ†π‘Ž(1 NOUN ijassa-1301 99 1 βˆ’ βˆ’ NOUN ijassa-1301 99 2 𝑧 𝑧 PROPN ijassa-1301 99 3 ( ( PUNCT ijassa-1301 99 4 𝑑 𝑑 NOUN ijassa-1301 99 5 ) ) PUNCT ijassa-1301 99 6 ) ) PUNCT ijassa-1301 99 7 , , PUNCT ijassa-1301 99 8 𝑑 𝑑 PROPN ijassa-1301 99 9 ∈ ∈ PROPN ijassa-1301 100 1 [ [ X ijassa-1301 100 2 𝑑 𝑑 X ijassa-1301 100 3 , , PUNCT ijassa-1301 100 4 + + NOUN ijassa-1301 100 5 ∞ ∞ NOUN ijassa-1301 100 6 ) ) PUNCT ijassa-1301 100 7 , , PUNCT ijassa-1301 100 8 ( ( PUNCT ijassa-1301 100 9 2.12 2.12 NUM ijassa-1301 100 10 ) ) PUNCT ijassa-1301 100 11 οΏ½ οΏ½ PROPN ijassa-1301 100 12 Μ‡ Μ‡ VERB ijassa-1301 100 13 οΏ½ οΏ½ PROPN ijassa-1301 100 14 ( ( PUNCT ijassa-1301 100 15 𝑑 𝑑 NOUN ijassa-1301 100 16 ) ) PUNCT ijassa-1301 100 17 = = NOUN ijassa-1301 100 18 πœ†π‘Ž πœ†π‘Ž PRON ijassa-1301 100 19 ( ( PUNCT ijassa-1301 100 20 𝑧 𝑧 X ijassa-1301 100 21 ( ( PUNCT ijassa-1301 100 22 𝑑 𝑑 NOUN ijassa-1301 100 23 ) ) PUNCT ijassa-1301 100 24 βˆ’ βˆ’ PROPN ijassa-1301 100 25 𝑧 𝑧 PROPN ijassa-1301 100 26 ( ( PUNCT ijassa-1301 100 27 𝑑 𝑑 NOUN ijassa-1301 100 28 ) ) PUNCT ijassa-1301 100 29 ) ) PUNCT ijassa-1301 100 30 , , PUNCT ijassa-1301 100 31 𝑖 𝑖 X ijassa-1301 100 32 = = SYM ijassa-1301 100 33 1,2 1,2 NUM ijassa-1301 100 34 , , PUNCT ijassa-1301 100 35 . . PUNCT ijassa-1301 100 36 . . PUNCT ijassa-1301 100 37 . . PUNCT ijassa-1301 101 1 , , PUNCT ijassa-1301 101 2 π‘š π‘š X ijassa-1301 101 3 , , PUNCT ijassa-1301 101 4 𝑑 𝑑 PROPN ijassa-1301 101 5 ∈ ∈ PROPN ijassa-1301 102 1 [ [ X ijassa-1301 102 2 𝑑 𝑑 X ijassa-1301 102 3 , , PUNCT ijassa-1301 102 4 + + NOUN ijassa-1301 102 5 ∞ ∞ NOUN ijassa-1301 102 6 ) ) PUNCT ijassa-1301 102 7 , , PUNCT ijassa-1301 102 8 ( ( PUNCT ijassa-1301 102 9 2.13 2.13 NUM ijassa-1301 102 10 ) ) PUNCT ijassa-1301 102 11 οΏ½ οΏ½ PROPN ijassa-1301 102 12 Μ‡ Μ‡ VERB ijassa-1301 102 13 οΏ½ οΏ½ PROPN ijassa-1301 102 14 ( ( PUNCT ijassa-1301 102 15 𝑑 𝑑 NOUN ijassa-1301 102 16 ) ) PUNCT ijassa-1301 102 17 = = SYM ijassa-1301 103 1 πœ†π‘Ž(1 πœ†π‘Ž(1 NOUN ijassa-1301 104 1 βˆ’ βˆ’ NOUN ijassa-1301 104 2 𝑧 𝑧 PROPN ijassa-1301 104 3 ( ( PUNCT ijassa-1301 104 4 𝑑 𝑑 NOUN ijassa-1301 104 5 ) ) PUNCT ijassa-1301 104 6 ) ) PUNCT ijassa-1301 105 1 βˆ’ βˆ’ PROPN ijassa-1301 105 2 π›Ύπ‘Ž π›Ύπ‘Ž INTJ ijassa-1301 105 3 , , PUNCT ijassa-1301 105 4 𝑑 𝑑 PROPN ijassa-1301 105 5 ∈ ∈ PROPN ijassa-1301 106 1 [ [ X ijassa-1301 106 2 𝑑 𝑑 X ijassa-1301 106 3 , , PUNCT ijassa-1301 106 4 + + NOUN ijassa-1301 106 5 ∞ ∞ NOUN ijassa-1301 106 6 ) ) PUNCT ijassa-1301 106 7 , , PUNCT ijassa-1301 106 8 ( ( PUNCT ijassa-1301 106 9 2.14 2.14 NUM ijassa-1301 106 10 ) ) PUNCT ijassa-1301 106 11 0 0 NUM ijassa-1301 107 1 ≀ ≀ NUM ijassa-1301 107 2 𝑧 𝑧 PRON ijassa-1301 107 3 ( ( PUNCT ijassa-1301 107 4 𝑑 𝑑 NOUN ijassa-1301 107 5 ) ) PUNCT ijassa-1301 107 6 ≀ ≀ NUM ijassa-1301 107 7 1 1 NUM ijassa-1301 107 8 , , PUNCT ijassa-1301 107 9 𝑖 𝑖 NOUN ijassa-1301 107 10 = = SYM ijassa-1301 107 11 0,1 0,1 NUM ijassa-1301 107 12 , , PUNCT ijassa-1301 107 13 . . PUNCT ijassa-1301 107 14 . . PUNCT ijassa-1301 108 1 . . PUNCT ijassa-1301 109 1 , , PUNCT ijassa-1301 109 2 π‘š π‘š X ijassa-1301 109 3 + + NOUN ijassa-1301 109 4 1 1 NUM ijassa-1301 109 5 , , PUNCT ijassa-1301 109 6 𝑑 𝑑 PROPN ijassa-1301 109 7 ∈ ∈ PROPN ijassa-1301 109 8 [ [ X ijassa-1301 109 9 𝑑 𝑑 X ijassa-1301 109 10 , , PUNCT ijassa-1301 109 11 + + NOUN ijassa-1301 109 12 ∞ ∞ NOUN ijassa-1301 109 13 ) ) PUNCT ijassa-1301 109 14 . . PUNCT ijassa-1301 110 1 ( ( PUNCT ijassa-1301 110 2 2.15 2.15 NUM ijassa-1301 110 3 ) ) PUNCT ijassa-1301 110 4 here here ADV ijassa-1301 110 5 πœ‡ πœ‡ ADP ijassa-1301 110 6 , , PUNCT ijassa-1301 110 7 π‘Ž π‘Ž NOUN ijassa-1301 110 8 , , PUNCT ijassa-1301 110 9 πœ† πœ† NOUN ijassa-1301 110 10 , , PUNCT ijassa-1301 110 11 𝛾 𝛾 NOUN ijassa-1301 110 12 are be AUX ijassa-1301 110 13 the the DET ijassa-1301 110 14 model model NOUN ijassa-1301 110 15 parameters parameter NOUN ijassa-1301 110 16 : : PUNCT ijassa-1301 110 17 πœ‡ πœ‡ X ijassa-1301 110 18 ( ( PUNCT ijassa-1301 110 19 0 0 NUM ijassa-1301 110 20 < < X ijassa-1301 110 21 πœ‡ πœ‡ X ijassa-1301 110 22 ≀ ≀ NUM ijassa-1301 110 23 1 1 NUM ijassa-1301 110 24 ) ) PUNCT ijassa-1301 110 25 is be AUX ijassa-1301 110 26 a a DET ijassa-1301 110 27 characteristics characteristic NOUN ijassa-1301 110 28 of of ADP ijassa-1301 110 29 the the DET ijassa-1301 110 30 range range NOUN ijassa-1301 110 31 of of ADP ijassa-1301 110 32 demand demand NOUN ijassa-1301 110 33 for for ADP ijassa-1301 110 34 transportation transportation NOUN ijassa-1301 110 35 , , PUNCT ijassa-1301 110 36 which which PRON ijassa-1301 110 37 can can AUX ijassa-1301 110 38 be be AUX ijassa-1301 110 39 satisfied satisfied ADJ ijassa-1301 110 40 with with ADP ijassa-1301 110 41 the the DET ijassa-1301 110 42 existing exist VERB ijassa-1301 110 43 technical technical ADJ ijassa-1301 110 44 potential potential NOUN ijassa-1301 110 45 of of ADP ijassa-1301 110 46 the the DET ijassa-1301 110 47 stations station NOUN ijassa-1301 110 48 ; ; PUNCT ijassa-1301 110 49 π‘Ž π‘Ž X ijassa-1301 110 50 ( ( PUNCT ijassa-1301 110 51 π‘Ž π‘Ž NOUN ijassa-1301 110 52 > > X ijassa-1301 110 53 0 0 NUM ijassa-1301 110 54 ) ) PUNCT ijassa-1301 110 55 is be AUX ijassa-1301 110 56 a a DET ijassa-1301 110 57 characteristic characteristic NOUN ijassa-1301 110 58 of of ADP ijassa-1301 110 59 the the DET ijassa-1301 110 60 ability ability NOUN ijassa-1301 110 61 of of ADP ijassa-1301 110 62 stations station NOUN ijassa-1301 110 63 to to PART ijassa-1301 110 64 increase increase VERB ijassa-1301 110 65 cargo cargo NOUN ijassa-1301 110 66 traffic traffic NOUN ijassa-1301 110 67 ; ; PUNCT ijassa-1301 110 68 πœ† πœ† X ijassa-1301 110 69 ( ( PUNCT ijassa-1301 110 70 0 0 NUM ijassa-1301 110 71 < < X ijassa-1301 110 72 πœ† πœ† X ijassa-1301 110 73 ≀ ≀ NUM ijassa-1301 110 74 1 1 NUM ijassa-1301 110 75 ) ) PUNCT ijassa-1301 110 76 is be AUX ijassa-1301 110 77 a a DET ijassa-1301 110 78 characteristics characteristic NOUN ijassa-1301 110 79 of of ADP ijassa-1301 110 80 the the DET ijassa-1301 110 81 degree degree NOUN ijassa-1301 110 82 of of ADP ijassa-1301 110 83 use use NOUN ijassa-1301 110 84 of of ADP ijassa-1301 110 85 the the DET ijassa-1301 110 86 technical technical ADJ ijassa-1301 110 87 potential potential NOUN ijassa-1301 110 88 of of ADP ijassa-1301 110 89 the the DET ijassa-1301 110 90 stations station NOUN ijassa-1301 110 91 ; ; PUNCT ijassa-1301 110 92 𝛾 𝛾 X ijassa-1301 110 93 ( ( PUNCT ijassa-1301 110 94 𝛾 𝛾 VERB ijassa-1301 110 95 > > X ijassa-1301 110 96 0 0 NUM ijassa-1301 110 97 ) ) PUNCT ijassa-1301 110 98 is be AUX ijassa-1301 110 99 a a DET ijassa-1301 110 100 characteristics characteristic NOUN ijassa-1301 110 101 of of ADP ijassa-1301 110 102 the the DET ijassa-1301 110 103 cargo cargo NOUN ijassa-1301 110 104 distribution distribution NOUN ijassa-1301 110 105 mode mode NOUN ijassa-1301 110 106 from from ADP ijassa-1301 110 107 the the DET ijassa-1301 110 108 final final ADJ ijassa-1301 110 109 node node NOUN ijassa-1301 110 110 station station NOUN ijassa-1301 110 111 . . PUNCT ijassa-1301 111 1 here here ADV ijassa-1301 111 2 are be AUX ijassa-1301 111 3 the the DET ijassa-1301 111 4 main main ADJ ijassa-1301 111 5 objectives objective NOUN ijassa-1301 111 6 of of ADP ijassa-1301 111 7 the the DET ijassa-1301 111 8 study study NOUN ijassa-1301 111 9 : : PUNCT ijassa-1301 111 10 to to PART ijassa-1301 111 11 determine determine VERB ijassa-1301 111 12 the the DET ijassa-1301 111 13 ranges range NOUN ijassa-1301 111 14 of of ADP ijassa-1301 111 15 change change NOUN ijassa-1301 111 16 of of ADP ijassa-1301 111 17 parameters parameter NOUN ijassa-1301 111 18 πœ‡ πœ‡ ADP ijassa-1301 111 19 , , PUNCT ijassa-1301 111 20 π‘Ž π‘Ž NOUN ijassa-1301 111 21 , , PUNCT ijassa-1301 111 22 πœ† πœ† NOUN ijassa-1301 111 23 , , PUNCT ijassa-1301 111 24 𝛾 𝛾 ADP ijassa-1301 111 25 , , PUNCT ijassa-1301 111 26 in in ADP ijassa-1301 111 27 which which PRON ijassa-1301 111 28 the the DET ijassa-1301 111 29 system system NOUN ijassa-1301 111 30 of of ADP ijassa-1301 111 31 cargo cargo NOUN ijassa-1301 111 32 transportation transportation NOUN ijassa-1301 111 33 can can AUX ijassa-1301 111 34 function function VERB ijassa-1301 111 35 smoothly smoothly ADV ijassa-1301 111 36 , , PUNCT ijassa-1301 111 37 i.e. i.e. X ijassa-1301 111 38 system system NOUN ijassa-1301 111 39 ( ( PUNCT ijassa-1301 111 40 2.12)-(2.15 2.12)-(2.15 NUM ijassa-1301 111 41 ) ) PUNCT ijassa-1301 111 42 has have VERB ijassa-1301 111 43 a a DET ijassa-1301 111 44 solution solution NOUN ijassa-1301 111 45 , , PUNCT ijassa-1301 111 46 describe describe VERB ijassa-1301 111 47 the the DET ijassa-1301 111 48 qualitative qualitative ADJ ijassa-1301 111 49 behavior behavior NOUN ijassa-1301 111 50 of of ADP ijassa-1301 111 51 solutions solution NOUN ijassa-1301 111 52 depending depend VERB ijassa-1301 111 53 on on ADP ijassa-1301 111 54 the the DET ijassa-1301 111 55 parameters parameter NOUN ijassa-1301 111 56 . . PUNCT ijassa-1301 112 1 for for ADP ijassa-1301 112 2 a a DET ijassa-1301 112 3 given give VERB ijassa-1301 112 4 value value NOUN ijassa-1301 112 5 of of ADP ijassa-1301 112 6 the the DET ijassa-1301 112 7 demand demand NOUN ijassa-1301 112 8 characteristics characteristic NOUN ijassa-1301 112 9 for for ADP ijassa-1301 112 10 cargo cargo NOUN ijassa-1301 112 11 transportation transportation NOUN ijassa-1301 112 12 ( ( PUNCT ijassa-1301 112 13 parameter parameter NOUN ijassa-1301 112 14 πœ‡ πœ‡ NOUN ijassa-1301 112 15 ) ) PUNCT ijassa-1301 112 16 set set VERB ijassa-1301 112 17 the the DET ijassa-1301 112 18 most most ADV ijassa-1301 112 19 acceptable acceptable ADJ ijassa-1301 112 20 achievable achievable ADJ ijassa-1301 112 21 levels level NOUN ijassa-1301 112 22 of of ADP ijassa-1301 112 23 the the DET ijassa-1301 112 24 degree degree NOUN ijassa-1301 112 25 of of ADP ijassa-1301 112 26 inconsistency inconsistency NOUN ijassa-1301 112 27 between between ADP ijassa-1301 112 28 the the DET ijassa-1301 112 29 reception reception NOUN ijassa-1301 112 30 and and CCONJ ijassa-1301 112 31 dispatch dispatch NOUN ijassa-1301 112 32 of of ADP ijassa-1301 112 33 goods good NOUN ijassa-1301 112 34 at at ADP ijassa-1301 112 35 all all DET ijassa-1301 112 36 stations station NOUN ijassa-1301 112 37 , , PUNCT ijassa-1301 112 38 by by ADP ijassa-1301 112 39 controlling control VERB ijassa-1301 112 40 the the DET ijassa-1301 112 41 values value NOUN ijassa-1301 112 42 of of ADP ijassa-1301 112 43 the the DET ijassa-1301 112 44 following follow VERB ijassa-1301 112 45 characteristics characteristic NOUN ijassa-1301 112 46 : : PUNCT ijassa-1301 112 47 the the DET ijassa-1301 112 48 ability ability NOUN ijassa-1301 112 49 of of ADP ijassa-1301 112 50 stations station NOUN ijassa-1301 112 51 to to PART ijassa-1301 112 52 increase increase VERB ijassa-1301 112 53 cargo cargo NOUN ijassa-1301 112 54 traffic traffic NOUN ijassa-1301 112 55 ( ( PUNCT ijassa-1301 112 56 parameter parameter NOUN ijassa-1301 112 57 π‘Ž π‘Ž PROPN ijassa-1301 112 58 ) ) PUNCT ijassa-1301 112 59 , , PUNCT ijassa-1301 112 60 the the DET ijassa-1301 112 61 degree degree NOUN ijassa-1301 112 62 of of ADP ijassa-1301 112 63 use use NOUN ijassa-1301 112 64 of of ADP ijassa-1301 112 65 the the DET ijassa-1301 112 66 technical technical ADJ ijassa-1301 112 67 potential potential NOUN ijassa-1301 112 68 of of ADP ijassa-1301 112 69 stations station NOUN ijassa-1301 112 70 ( ( PUNCT ijassa-1301 112 71 parameter parameter NOUN ijassa-1301 112 72 πœ† πœ† NOUN ijassa-1301 112 73 ) ) PUNCT ijassa-1301 112 74 and and CCONJ ijassa-1301 112 75 the the DET ijassa-1301 112 76 mode mode NOUN ijassa-1301 112 77 of of ADP ijassa-1301 112 78 cargo cargo NOUN ijassa-1301 112 79 distribution distribution NOUN ijassa-1301 112 80 from from ADP ijassa-1301 112 81 the the DET ijassa-1301 112 82 final final ADJ ijassa-1301 112 83 node node NOUN ijassa-1301 112 84 station station NOUN ijassa-1301 112 85 ( ( PUNCT ijassa-1301 112 86 parameter parameter PROPN ijassa-1301 112 87 𝛾 𝛾 PROPN ijassa-1301 112 88 ) ) PUNCT ijassa-1301 112 89 . . PUNCT ijassa-1301 113 1 3 3 X ijassa-1301 113 2 . . X ijassa-1301 113 3 investigation investigation NOUN ijassa-1301 113 4 of of ADP ijassa-1301 113 5 system system NOUN ijassa-1301 113 6 solutions solution NOUN ijassa-1301 113 7 ( ( PUNCT ijassa-1301 113 8 2.12)-(2.15 2.12)-(2.15 NUM ijassa-1301 113 9 ) ) PUNCT ijassa-1301 113 10 the the DET ijassa-1301 113 11 study study NOUN ijassa-1301 113 12 of of ADP ijassa-1301 113 13 the the DET ijassa-1301 113 14 set set NOUN ijassa-1301 113 15 of of ADP ijassa-1301 113 16 solutions solution NOUN ijassa-1301 113 17 of of ADP ijassa-1301 113 18 the the DET ijassa-1301 113 19 system system NOUN ijassa-1301 113 20 ( ( PUNCT ijassa-1301 113 21 2.12)–(2.15 2.12)–(2.15 X ijassa-1301 113 22 ) ) PUNCT ijassa-1301 113 23 begins begin VERB ijassa-1301 113 24 with with ADP ijassa-1301 113 25 the the DET ijassa-1301 113 26 study study NOUN ijassa-1301 113 27 of of ADP ijassa-1301 113 28 all all DET ijassa-1301 113 29 solutions solution NOUN ijassa-1301 113 30 of of ADP ijassa-1301 113 31 the the DET ijassa-1301 113 32 system system NOUN ijassa-1301 113 33 of of ADP ijassa-1301 113 34 differential differential ADJ ijassa-1301 113 35 equations equation NOUN ijassa-1301 113 36 ( ( PUNCT ijassa-1301 113 37 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 113 38 ) ) PUNCT ijassa-1301 113 39 . . PUNCT ijassa-1301 114 1 first first ADV ijassa-1301 114 2 of of ADP ijassa-1301 114 3 all all PRON ijassa-1301 114 4 , , PUNCT ijassa-1301 114 5 we we PRON ijassa-1301 114 6 will will AUX ijassa-1301 114 7 highlight highlight VERB ijassa-1301 114 8 the the DET ijassa-1301 114 9 stationary stationary ADJ ijassa-1301 114 10 solutions solution NOUN ijassa-1301 114 11 of of ADP ijassa-1301 114 12 the the DET ijassa-1301 114 13 system system NOUN ijassa-1301 114 14 ( ( PUNCT ijassa-1301 114 15 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 114 16 ) ) PUNCT ijassa-1301 114 17 . . PUNCT ijassa-1301 115 1 with with ADP ijassa-1301 115 2 the the DET ijassa-1301 115 3 help help NOUN ijassa-1301 115 4 of of ADP ijassa-1301 115 5 direct direct ADJ ijassa-1301 115 6 verification verification NOUN ijassa-1301 115 7 , , PUNCT ijassa-1301 115 8 you you PRON ijassa-1301 115 9 can can AUX ijassa-1301 115 10 verify verify VERB ijassa-1301 115 11 the the DET ijassa-1301 115 12 validity validity NOUN ijassa-1301 115 13 of of ADP ijassa-1301 115 14 the the DET ijassa-1301 115 15 following follow VERB ijassa-1301 115 16 statement statement NOUN ijassa-1301 115 17 proposition proposition NOUN ijassa-1301 115 18 3.1 3.1 NUM ijassa-1301 115 19 : : PUNCT ijassa-1301 115 20 system system NOUN ijassa-1301 115 21 ( ( PUNCT ijassa-1301 115 22 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 115 23 ) ) PUNCT ijassa-1301 115 24 for for ADP ijassa-1301 115 25 any any DET ijassa-1301 115 26 parameter parameter NOUN ijassa-1301 115 27 values value NOUN ijassa-1301 115 28 0 0 PUNCT ijassa-1301 115 29 < < X ijassa-1301 115 30 πœ‡ πœ‡ ADP ijassa-1301 115 31 ≀ ≀ NUM ijassa-1301 115 32 1 1 NUM ijassa-1301 115 33 , , PUNCT ijassa-1301 115 34 π‘Ž π‘Ž NOUN ijassa-1301 115 35 > > X ijassa-1301 115 36 0 0 NUM ijassa-1301 115 37 , , PUNCT ijassa-1301 115 38 0 0 PUNCT ijassa-1301 115 39 < < X ijassa-1301 115 40 πœ† πœ† X ijassa-1301 115 41 ≀ ≀ NUM ijassa-1301 115 42 1 1 NUM ijassa-1301 115 43 , , PUNCT ijassa-1301 115 44 𝛾 𝛾 ADP ijassa-1301 115 45 > > X ijassa-1301 115 46 0 0 NUM ijassa-1301 116 1 such such ADJ ijassa-1301 116 2 that that SCONJ ijassa-1301 116 3 𝛾 𝛾 NOUN ijassa-1301 116 4 ≀ ≀ NUM ijassa-1301 116 5 πœ‡ πœ‡ SCONJ ijassa-1301 116 6 has have VERB ijassa-1301 116 7 stationary stationary ADJ ijassa-1301 116 8 solutions solution NOUN ijassa-1301 116 9 : : PUNCT ijassa-1301 116 10 𝑧 𝑧 PROPN ijassa-1301 116 11 ( ( PUNCT ijassa-1301 116 12 . . PUNCT ijassa-1301 116 13 ) ) PUNCT ijassa-1301 117 1 ≑ ≑ PROPN ijassa-1301 117 2 1 1 NUM ijassa-1301 118 1 βˆ’ βˆ’ PROPN ijassa-1301 118 2 𝛾 𝛾 PROPN ijassa-1301 118 3 , , PUNCT ijassa-1301 118 4 𝑧 𝑧 PROPN ijassa-1301 118 5 ( ( PUNCT ijassa-1301 118 6 . . PUNCT ijassa-1301 118 7 ) ) PUNCT ijassa-1301 119 1 ≑ ≑ PROPN ijassa-1301 119 2 1 1 NUM ijassa-1301 119 3 βˆ’ βˆ’ NOUN ijassa-1301 119 4 , , PUNCT ijassa-1301 119 5 𝑖 𝑖 PROPN ijassa-1301 119 6 = = NOUN ijassa-1301 119 7 1 1 NUM ijassa-1301 119 8 , , PUNCT ijassa-1301 119 9 . . PUNCT ijassa-1301 119 10 . . PUNCT ijassa-1301 120 1 . . PUNCT ijassa-1301 121 1 , , PUNCT ijassa-1301 121 2 π‘š π‘š X ijassa-1301 121 3 + + NOUN ijassa-1301 121 4 1 1 NUM ijassa-1301 121 5 , , PUNCT ijassa-1301 121 6 for for ADP ijassa-1301 121 7 𝛾 𝛾 ADP ijassa-1301 121 8 < < X ijassa-1301 121 9 πœ‡ πœ‡ ADP ijassa-1301 121 10 ; ; PUNCT ijassa-1301 121 11 ( ( PUNCT ijassa-1301 121 12 3.1 3.1 NUM ijassa-1301 121 13 ) ) PUNCT ijassa-1301 121 14 𝑧 𝑧 PROPN ijassa-1301 121 15 ( ( PUNCT ijassa-1301 121 16 . . PUNCT ijassa-1301 121 17 ) ) PUNCT ijassa-1301 122 1 ≀ ≀ ADV ijassa-1301 122 2 1 1 NUM ijassa-1301 122 3 βˆ’ βˆ’ NOUN ijassa-1301 122 4 πœ‡ πœ‡ ADP ijassa-1301 122 5 , , PUNCT ijassa-1301 122 6 𝑧 𝑧 PROPN ijassa-1301 122 7 ( ( PUNCT ijassa-1301 122 8 . . PUNCT ijassa-1301 122 9 ) ) PUNCT ijassa-1301 123 1 ≑ ≑ PROPN ijassa-1301 123 2 1 1 NUM ijassa-1301 123 3 βˆ’ βˆ’ NOUN ijassa-1301 123 4 , , PUNCT ijassa-1301 123 5 𝑖 𝑖 PROPN ijassa-1301 123 6 = = NOUN ijassa-1301 123 7 1 1 NUM ijassa-1301 123 8 , , PUNCT ijassa-1301 123 9 . . PUNCT ijassa-1301 123 10 . . PUNCT ijassa-1301 124 1 . . PUNCT ijassa-1301 125 1 , , PUNCT ijassa-1301 125 2 π‘š π‘š X ijassa-1301 125 3 + + NOUN ijassa-1301 125 4 1 1 NUM ijassa-1301 125 5 , , PUNCT ijassa-1301 125 6 for for ADP ijassa-1301 125 7 𝛾 𝛾 NOUN ijassa-1301 125 8 = = SYM ijassa-1301 125 9 πœ‡. πœ‡. X ijassa-1301 125 10 ( ( PUNCT ijassa-1301 125 11 3.2 3.2 NUM ijassa-1301 125 12 ) ) PUNCT ijassa-1301 125 13 bifurcation bifurcation NOUN ijassa-1301 125 14 in in ADP ijassa-1301 125 15 the the DET ijassa-1301 125 16 model model NOUN ijassa-1301 125 17 of of ADP ijassa-1301 125 18 cargo cargo NOUN ijassa-1301 125 19 transportation transportation NOUN ijassa-1301 125 20 organization organization NOUN ijassa-1301 125 21 83 83 NUM ijassa-1301 125 22 copyright copyright NOUN ijassa-1301 125 23 Β© Β© PROPN ijassa-1301 125 24 0000 0000 NUM ijassa-1301 125 25 assa assa NOUN ijassa-1301 125 26 . . PUNCT ijassa-1301 126 1 adv adv PROPN ijassa-1301 126 2 . . PUNCT ijassa-1301 127 1 in in ADP ijassa-1301 127 2 systems system NOUN ijassa-1301 127 3 science science NOUN ijassa-1301 127 4 and and CCONJ ijassa-1301 127 5 appl appl NOUN ijassa-1301 127 6 . . PUNCT ijassa-1301 128 1 ( ( PUNCT ijassa-1301 128 2 0000 0000 NUM ijassa-1301 128 3 ) ) PUNCT ijassa-1301 128 4 for for ADP ijassa-1301 128 5 𝛾 𝛾 PROPN ijassa-1301 128 6 > > PUNCT ijassa-1301 128 7 πœ‡ πœ‡ ADP ijassa-1301 128 8 the the DET ijassa-1301 128 9 system system NOUN ijassa-1301 128 10 ( ( PUNCT ijassa-1301 128 11 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 128 12 ) ) PUNCT ijassa-1301 128 13 has have VERB ijassa-1301 128 14 no no DET ijassa-1301 128 15 stationary stationary ADJ ijassa-1301 128 16 solutions solution NOUN ijassa-1301 128 17 . . PUNCT ijassa-1301 129 1 let let VERB ijassa-1301 129 2 's us PRON ijassa-1301 129 3 proceed proceed VERB ijassa-1301 129 4 to to ADP ijassa-1301 129 5 the the DET ijassa-1301 129 6 study study NOUN ijassa-1301 129 7 of of ADP ijassa-1301 129 8 the the DET ijassa-1301 129 9 remaining remain VERB ijassa-1301 129 10 solutions solution NOUN ijassa-1301 129 11 of of ADP ijassa-1301 129 12 the the DET ijassa-1301 129 13 system system NOUN ijassa-1301 129 14 ( ( PUNCT ijassa-1301 129 15 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 129 16 ) ) PUNCT ijassa-1301 129 17 . . PUNCT ijassa-1301 130 1 theorem theorem VERB ijassa-1301 130 2 3.1 3.1 NUM ijassa-1301 130 3 : : PUNCT ijassa-1301 130 4 an an DET ijassa-1301 130 5 arbitrary arbitrary ADJ ijassa-1301 130 6 solution solution NOUN ijassa-1301 130 7 of of ADP ijassa-1301 130 8 the the DET ijassa-1301 130 9 system system NOUN ijassa-1301 130 10 ( ( PUNCT ijassa-1301 130 11 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 130 12 ) ) PUNCT ijassa-1301 130 13 at at ADP ijassa-1301 130 14 𝛾 𝛾 ADP ijassa-1301 130 15 < < X ijassa-1301 130 16 πœ‡ πœ‡ ADP ijassa-1301 130 17 eventually eventually ADV ijassa-1301 130 18 goes go VERB ijassa-1301 130 19 to to ADP ijassa-1301 130 20 a a DET ijassa-1301 130 21 stationary stationary ADJ ijassa-1301 130 22 solution solution NOUN ijassa-1301 130 23 ( ( PUNCT ijassa-1301 130 24 3.1 3.1 NUM ijassa-1301 130 25 ) ) PUNCT ijassa-1301 130 26 , , PUNCT ijassa-1301 130 27 and and CCONJ ijassa-1301 130 28 at at ADP ijassa-1301 130 29 𝛾 𝛾 NOUN ijassa-1301 130 30 = = PRON ijassa-1301 130 31 πœ‡ πœ‡ X ijassa-1301 130 32 to to ADP ijassa-1301 130 33 one one NUM ijassa-1301 130 34 of of ADP ijassa-1301 130 35 the the DET ijassa-1301 130 36 stationary stationary ADJ ijassa-1301 130 37 solutions solution NOUN ijassa-1301 130 38 ( ( PUNCT ijassa-1301 130 39 3.2 3.2 NUM ijassa-1301 130 40 ) ) PUNCT ijassa-1301 130 41 . . PUNCT ijassa-1301 131 1 for for ADP ijassa-1301 131 2 𝛾 𝛾 PROPN ijassa-1301 131 3 > > PUNCT ijassa-1301 131 4 πœ‡ πœ‡ ADP ijassa-1301 131 5 coordinates coordinate NOUN ijassa-1301 131 6 𝑧 𝑧 PROPN ijassa-1301 131 7 ( ( PUNCT ijassa-1301 131 8 . . PUNCT ijassa-1301 131 9 ) ) PUNCT ijassa-1301 131 10 , , PUNCT ijassa-1301 131 11 𝑖 𝑖 X ijassa-1301 131 12 = = NOUN ijassa-1301 131 13 1 1 NUM ijassa-1301 131 14 , , PUNCT ijassa-1301 131 15 . . PUNCT ijassa-1301 131 16 . . PUNCT ijassa-1301 132 1 . . PUNCT ijassa-1301 133 1 , , PUNCT ijassa-1301 134 1 π‘š π‘š X ijassa-1301 134 2 + + NOUN ijassa-1301 134 3 1 1 NUM ijassa-1301 134 4 of of ADP ijassa-1301 134 5 solutions solution NOUN ijassa-1301 134 6 of of ADP ijassa-1301 134 7 the the DET ijassa-1301 134 8 system system NOUN ijassa-1301 134 9 ( ( PUNCT ijassa-1301 134 10 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 134 11 ) ) PUNCT ijassa-1301 134 12 eventually eventually ADV ijassa-1301 134 13 enter enter VERB ijassa-1301 134 14 the the DET ijassa-1301 134 15 stationary stationary ADJ ijassa-1301 134 16 mode mode NOUN ijassa-1301 134 17 specified specify VERB ijassa-1301 134 18 in in ADP ijassa-1301 134 19 ( ( PUNCT ijassa-1301 134 20 3.1 3.1 NUM ijassa-1301 134 21 ) ) PUNCT ijassa-1301 134 22 , , PUNCT ijassa-1301 134 23 and and CCONJ ijassa-1301 134 24 the the DET ijassa-1301 134 25 function function NOUN ijassa-1301 134 26 𝑧 𝑧 X ijassa-1301 134 27 ( ( PUNCT ijassa-1301 134 28 . . PUNCT ijassa-1301 134 29 ) ) PUNCT ijassa-1301 134 30 becomes becomes AUX ijassa-1301 134 31 linearly linearly ADV ijassa-1301 134 32 decreasing decrease VERB ijassa-1301 134 33 . . PUNCT ijassa-1301 135 1 proof proof NOUN ijassa-1301 135 2 . . PUNCT ijassa-1301 136 1 let let VERB ijassa-1301 136 2 is be AUX ijassa-1301 136 3 find find VERB ijassa-1301 136 4 the the DET ijassa-1301 136 5 general general ADJ ijassa-1301 136 6 solution solution NOUN ijassa-1301 136 7 of of ADP ijassa-1301 136 8 the the DET ijassa-1301 136 9 system system NOUN ijassa-1301 136 10 ( ( PUNCT ijassa-1301 136 11 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 136 12 ) ) PUNCT ijassa-1301 136 13 . . PUNCT ijassa-1301 137 1 let let VERB ijassa-1301 137 2 is be AUX ijassa-1301 137 3 start start VERB ijassa-1301 137 4 with with ADP ijassa-1301 137 5 the the DET ijassa-1301 137 6 last last ADJ ijassa-1301 137 7 equation equation NOUN ijassa-1301 137 8 , , PUNCT ijassa-1301 137 9 which which PRON ijassa-1301 137 10 contains contain VERB ijassa-1301 137 11 one one NUM ijassa-1301 137 12 variable variable NOUN ijassa-1301 137 13 ( ( PUNCT ijassa-1301 137 14 𝑧 𝑧 PROPN ijassa-1301 137 15 ) ) PUNCT ijassa-1301 137 16 . . PUNCT ijassa-1301 138 1 let let VERB ijassa-1301 138 2 's us PRON ijassa-1301 138 3 rewrite rewrite VERB ijassa-1301 138 4 it it PRON ijassa-1301 138 5 in in ADP ijassa-1301 138 6 the the DET ijassa-1301 138 7 following follow VERB ijassa-1301 138 8 form form NOUN ijassa-1301 138 9 οΏ½ οΏ½ PROPN ijassa-1301 138 10 Μ‡ Μ‡ PROPN ijassa-1301 138 11 οΏ½ οΏ½ PROPN ijassa-1301 138 12 ( ( PUNCT ijassa-1301 138 13 𝑑 𝑑 NOUN ijassa-1301 138 14 ) ) PUNCT ijassa-1301 139 1 + + NUM ijassa-1301 139 2 πœ†π‘Žπ‘§ πœ†π‘Žπ‘§ CCONJ ijassa-1301 139 3 ( ( PUNCT ijassa-1301 139 4 𝑑 𝑑 NOUN ijassa-1301 139 5 ) ) PUNCT ijassa-1301 139 6 = = SYM ijassa-1301 140 1 ( ( PUNCT ijassa-1301 140 2 πœ† πœ† X ijassa-1301 140 3 βˆ’ βˆ’ PROPN ijassa-1301 140 4 𝛾)π‘Ž. 𝛾)π‘Ž. PROPN ijassa-1301 140 5 ( ( PUNCT ijassa-1301 140 6 3.3 3.3 NUM ijassa-1301 140 7 ) ) PUNCT ijassa-1301 140 8 it it PRON ijassa-1301 140 9 is be AUX ijassa-1301 140 10 not not PART ijassa-1301 140 11 difficult difficult ADJ ijassa-1301 140 12 to to PART ijassa-1301 140 13 verify verify VERB ijassa-1301 140 14 that that DET ijassa-1301 140 15 linear linear ADJ ijassa-1301 140 16 equation equation NOUN ijassa-1301 140 17 ( ( PUNCT ijassa-1301 140 18 3.3 3.3 NUM ijassa-1301 140 19 ) ) PUNCT ijassa-1301 140 20 has have VERB ijassa-1301 140 21 the the DET ijassa-1301 140 22 following follow VERB ijassa-1301 140 23 general general ADJ ijassa-1301 140 24 solution solution NOUN ijassa-1301 140 25 𝑧 𝑧 PROPN ijassa-1301 140 26 ( ( PUNCT ijassa-1301 140 27 𝑑 𝑑 NOUN ijassa-1301 140 28 ) ) PUNCT ijassa-1301 140 29 = = SYM ijassa-1301 140 30 1 1 NUM ijassa-1301 140 31 βˆ’ βˆ’ NOUN ijassa-1301 141 1 + + CCONJ ijassa-1301 141 2 𝑐 𝑐 PROPN ijassa-1301 141 3 𝑒 𝑒 PROPN ijassa-1301 141 4 . . PUNCT ijassa-1301 142 1 ( ( PUNCT ijassa-1301 142 2 3.4 3.4 NUM ijassa-1301 142 3 ) ) PUNCT ijassa-1301 142 4 substituting substitute VERB ijassa-1301 142 5 the the DET ijassa-1301 142 6 expression expression NOUN ijassa-1301 142 7 for for ADP ijassa-1301 142 8 𝑧 𝑧 NOUN ijassa-1301 142 9 from from ADP ijassa-1301 142 10 ( ( PUNCT ijassa-1301 142 11 3.4 3.4 NUM ijassa-1301 142 12 ) ) PUNCT ijassa-1301 142 13 into into ADP ijassa-1301 142 14 the the DET ijassa-1301 142 15 penultimate penultimate NOUN ijassa-1301 142 16 equation equation NOUN ijassa-1301 142 17 of of ADP ijassa-1301 142 18 the the DET ijassa-1301 142 19 system system NOUN ijassa-1301 142 20 ( ( PUNCT ijassa-1301 142 21 2.12)–(2.14 2.12)–(2.14 NUM ijassa-1301 142 22 ) ) PUNCT ijassa-1301 142 23 , , PUNCT ijassa-1301 142 24 we we PRON ijassa-1301 142 25 find find VERB ijassa-1301 142 26 its its PRON ijassa-1301 142 27 general general ADJ ijassa-1301 142 28 solution solution NOUN ijassa-1301 142 29 . . PUNCT ijassa-1301 143 1 it it PRON ijassa-1301 143 2 has have VERB ijassa-1301 143 3 the the DET ijassa-1301 143 4 following follow VERB ijassa-1301 143 5 form form NOUN ijassa-1301 143 6 𝑧 𝑧 PROPN ijassa-1301 143 7 ( ( PUNCT ijassa-1301 143 8 𝑑 𝑑 NOUN ijassa-1301 143 9 ) ) PUNCT ijassa-1301 143 10 = = SYM ijassa-1301 143 11 1 1 NUM ijassa-1301 143 12 βˆ’ βˆ’ NOUN ijassa-1301 144 1 + + CCONJ ijassa-1301 144 2 𝑒 𝑒 PROPN ijassa-1301 144 3 ( ( PUNCT ijassa-1301 144 4 πœ†π‘Žπ‘ πœ†π‘Žπ‘ X ijassa-1301 144 5 𝑑 𝑑 NOUN ijassa-1301 144 6 + + PROPN ijassa-1301 144 7 𝑐 𝑐 NOUN ijassa-1301 144 8 ) ) PUNCT ijassa-1301 144 9 . . PUNCT ijassa-1301 145 1 ( ( PUNCT ijassa-1301 145 2 3.5 3.5 NUM ijassa-1301 145 3 ) ) PUNCT ijassa-1301 145 4 similarly similarly ADV ijassa-1301 145 5 , , PUNCT ijassa-1301 145 6 we we PRON ijassa-1301 145 7 will will AUX ijassa-1301 145 8 find find VERB ijassa-1301 145 9 general general ADJ ijassa-1301 145 10 solutions solution NOUN ijassa-1301 145 11 to to ADP ijassa-1301 145 12 all all DET ijassa-1301 145 13 other other ADJ ijassa-1301 145 14 equations equation NOUN ijassa-1301 145 15 of of ADP ijassa-1301 145 16 the the DET ijassa-1301 145 17 system system NOUN ijassa-1301 145 18 ( ( PUNCT ijassa-1301 145 19 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 145 20 ) ) PUNCT ijassa-1301 145 21 except except SCONJ ijassa-1301 145 22 the the DET ijassa-1301 145 23 initial initial ADJ ijassa-1301 145 24 one one NOUN ijassa-1301 145 25 : : PUNCT ijassa-1301 145 26 𝑧 𝑧 PROPN ijassa-1301 145 27 ( ( PUNCT ijassa-1301 145 28 𝑑 𝑑 NOUN ijassa-1301 145 29 ) ) PUNCT ijassa-1301 145 30 = = SYM ijassa-1301 146 1 1 1 NUM ijassa-1301 146 2 βˆ’ βˆ’ NOUN ijassa-1301 146 3 + + CCONJ ijassa-1301 146 4 𝑒 𝑒 PROPN ijassa-1301 146 5 ( ( PUNCT ijassa-1301 146 6 𝑑 𝑑 X ijassa-1301 146 7 + + X ijassa-1301 146 8 𝑐 𝑐 PROPN ijassa-1301 146 9 𝑑 𝑑 PROPN ijassa-1301 146 10 + + PROPN ijassa-1301 146 11 𝑐 𝑐 NOUN ijassa-1301 146 12 ) ) PUNCT ijassa-1301 146 13 ; ; PUNCT ijassa-1301 146 14 … … PUNCT ijassa-1301 146 15 𝑧 𝑧 X ijassa-1301 146 16 ( ( PUNCT ijassa-1301 146 17 𝑑 𝑑 NOUN ijassa-1301 146 18 ) ) PUNCT ijassa-1301 146 19 = = SYM ijassa-1301 146 20 1 1 NUM ijassa-1301 146 21 βˆ’ βˆ’ NOUN ijassa-1301 146 22 + + CCONJ ijassa-1301 146 23 𝑒 𝑒 PROPN ijassa-1301 146 24 ( ( PUNCT ijassa-1301 146 25 ( ( PUNCT ijassa-1301 146 26 ) ) PUNCT ijassa-1301 146 27 ! ! PUNCT ijassa-1301 147 1 𝑑 𝑑 PRON ijassa-1301 148 1 + + PROPN ijassa-1301 148 2 𝑐 𝑐 PROPN ijassa-1301 148 3 𝑑 𝑑 PROPN ijassa-1301 148 4 + + PROPN ijassa-1301 148 5 β‹― β‹― VERB ijassa-1301 148 6 + + CCONJ ijassa-1301 148 7 𝑐 𝑐 PROPN ijassa-1301 148 8 𝑑 𝑑 PROPN ijassa-1301 148 9 + + PROPN ijassa-1301 148 10 𝑐 𝑐 NOUN ijassa-1301 148 11 ) ) PUNCT ijassa-1301 148 12 ; ; PUNCT ijassa-1301 148 13 ( ( PUNCT ijassa-1301 148 14 3.6 3.6 NUM ijassa-1301 148 15 ) ) PUNCT ijassa-1301 148 16 𝑧 𝑧 PROPN ijassa-1301 148 17 ( ( PUNCT ijassa-1301 148 18 𝑑 𝑑 NOUN ijassa-1301 148 19 ) ) PUNCT ijassa-1301 148 20 = = SYM ijassa-1301 149 1 1 1 NUM ijassa-1301 149 2 βˆ’ βˆ’ NOUN ijassa-1301 149 3 + + CCONJ ijassa-1301 149 4 𝑒 𝑒 PROPN ijassa-1301 149 5 ( ( PUNCT ijassa-1301 149 6 ! ! PUNCT ijassa-1301 150 1 𝑑 𝑑 PROPN ijassa-1301 150 2 + + PROPN ijassa-1301 150 3 𝑐 𝑐 PROPN ijassa-1301 150 4 𝑑 𝑑 PROPN ijassa-1301 150 5 + + PROPN ijassa-1301 150 6 β‹― β‹― VERB ijassa-1301 150 7 + + CCONJ ijassa-1301 150 8 𝑐 𝑐 PROPN ijassa-1301 150 9 𝑑 𝑑 PROPN ijassa-1301 150 10 + + PROPN ijassa-1301 150 11 𝑐 𝑐 NOUN ijassa-1301 150 12 ) ) PUNCT ijassa-1301 150 13 . . PUNCT ijassa-1301 151 1 it it PRON ijassa-1301 151 2 follows follow VERB ijassa-1301 151 3 from from ADP ijassa-1301 151 4 ( ( PUNCT ijassa-1301 151 5 3.5 3.5 NUM ijassa-1301 151 6 ) ) PUNCT ijassa-1301 151 7 and and CCONJ ijassa-1301 151 8 ( ( PUNCT ijassa-1301 151 9 3.6 3.6 NUM ijassa-1301 151 10 ) ) PUNCT ijassa-1301 152 1 that that SCONJ ijassa-1301 152 2 lim lim PROPN ijassa-1301 152 3 β†’ β†’ SYM ijassa-1301 152 4 𝑧 𝑧 PROPN ijassa-1301 152 5 ( ( PUNCT ijassa-1301 152 6 𝑑 𝑑 NOUN ijassa-1301 152 7 ) ) PUNCT ijassa-1301 152 8 = = SYM ijassa-1301 152 9 1 1 NUM ijassa-1301 152 10 βˆ’ βˆ’ NOUN ijassa-1301 152 11 , , PUNCT ijassa-1301 152 12 𝑖 𝑖 PROPN ijassa-1301 152 13 = = SYM ijassa-1301 152 14 1 1 NUM ijassa-1301 152 15 , , PUNCT ijassa-1301 152 16 2 2 NUM ijassa-1301 152 17 , , PUNCT ijassa-1301 152 18 … … PUNCT ijassa-1301 152 19 , , PUNCT ijassa-1301 152 20 π‘š. π‘š. ADV ijassa-1301 152 21 let let VERB ijassa-1301 152 22 's us PRON ijassa-1301 152 23 move move VERB ijassa-1301 152 24 on on ADP ijassa-1301 152 25 to to ADP ijassa-1301 152 26 solving solve VERB ijassa-1301 152 27 the the DET ijassa-1301 152 28 first first ADJ ijassa-1301 152 29 equation equation NOUN ijassa-1301 152 30 of of ADP ijassa-1301 152 31 the the DET ijassa-1301 152 32 system system NOUN ijassa-1301 152 33 ( ( PUNCT ijassa-1301 152 34 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 152 35 ) ) PUNCT ijassa-1301 152 36 . . PUNCT ijassa-1301 153 1 let let VERB ijassa-1301 153 2 's us PRON ijassa-1301 153 3 rewrite rewrite VERB ijassa-1301 153 4 it it PRON ijassa-1301 153 5 in in ADP ijassa-1301 153 6 the the DET ijassa-1301 153 7 following follow VERB ijassa-1301 153 8 form form NOUN ijassa-1301 153 9 οΏ½ οΏ½ PROPN ijassa-1301 153 10 Μ‡ Μ‡ PROPN ijassa-1301 153 11 οΏ½ οΏ½ PROPN ijassa-1301 153 12 ( ( PUNCT ijassa-1301 153 13 𝑑 𝑑 NOUN ijassa-1301 153 14 ) ) PUNCT ijassa-1301 153 15 = = PUNCT ijassa-1301 153 16 πœ‡π‘Ž πœ‡π‘Ž ADP ijassa-1301 153 17 βˆ’ βˆ’ NOUN ijassa-1301 153 18 πœ†π‘Ž πœ†π‘Ž INTJ ijassa-1301 153 19 1 1 NUM ijassa-1301 153 20 βˆ’ βˆ’ PROPN ijassa-1301 153 21 𝑧 𝑧 PROPN ijassa-1301 153 22 ( ( PUNCT ijassa-1301 153 23 𝑑 𝑑 NOUN ijassa-1301 153 24 ) ) PUNCT ijassa-1301 153 25 , , PUNCT ijassa-1301 153 26 if if SCONJ ijassa-1301 153 27 𝑧 𝑧 PROPN ijassa-1301 153 28 ( ( PUNCT ijassa-1301 153 29 𝑑 𝑑 NOUN ijassa-1301 153 30 ) ) PUNCT ijassa-1301 153 31 < < X ijassa-1301 153 32 1 1 NUM ijassa-1301 153 33 βˆ’ βˆ’ NOUN ijassa-1301 153 34 πœ‡ πœ‡ ADP ijassa-1301 153 35 , , PUNCT ijassa-1301 153 36 𝑑 𝑑 PROPN ijassa-1301 153 37 ∈ ∈ PROPN ijassa-1301 154 1 [ [ X ijassa-1301 154 2 𝑑 𝑑 X ijassa-1301 154 3 , , PUNCT ijassa-1301 154 4 + + NOUN ijassa-1301 154 5 ∞ ∞ NOUN ijassa-1301 154 6 ) ) PUNCT ijassa-1301 154 7 , , PUNCT ijassa-1301 154 8 π‘Ž π‘Ž X ijassa-1301 154 9 1 1 NUM ijassa-1301 154 10 βˆ’ βˆ’ NOUN ijassa-1301 154 11 𝑧 𝑧 PROPN ijassa-1301 154 12 ( ( PUNCT ijassa-1301 154 13 𝑑 𝑑 NOUN ijassa-1301 154 14 ) ) PUNCT ijassa-1301 154 15 βˆ’ βˆ’ NOUN ijassa-1301 154 16 πœ†π‘Ž πœ†π‘Ž INTJ ijassa-1301 154 17 1 1 NUM ijassa-1301 154 18 βˆ’ βˆ’ PROPN ijassa-1301 154 19 𝑧 𝑧 PROPN ijassa-1301 154 20 ( ( PUNCT ijassa-1301 154 21 𝑑 𝑑 NOUN ijassa-1301 154 22 ) ) PUNCT ijassa-1301 154 23 , , PUNCT ijassa-1301 154 24 if if SCONJ ijassa-1301 154 25 𝑧 𝑧 PROPN ijassa-1301 154 26 ( ( PUNCT ijassa-1301 154 27 𝑑 𝑑 NOUN ijassa-1301 154 28 ) ) PUNCT ijassa-1301 154 29 β‰₯ β‰₯ NOUN ijassa-1301 154 30 1 1 NUM ijassa-1301 154 31 βˆ’ βˆ’ NOUN ijassa-1301 154 32 πœ‡ πœ‡ ADP ijassa-1301 154 33 , , PUNCT ijassa-1301 154 34 𝑑 𝑑 PROPN ijassa-1301 154 35 ∈ ∈ PROPN ijassa-1301 155 1 [ [ X ijassa-1301 155 2 𝑑 𝑑 X ijassa-1301 155 3 , , PUNCT ijassa-1301 155 4 + + CCONJ ijassa-1301 155 5 ∞ ∞ NUM ijassa-1301 155 6 ) ) PUNCT ijassa-1301 155 7 . . PUNCT ijassa-1301 156 1 ( ( PUNCT ijassa-1301 156 2 3.7 3.7 NUM ijassa-1301 156 3 ) ) PUNCT ijassa-1301 156 4 consider consider VERB ijassa-1301 156 5 the the DET ijassa-1301 156 6 following follow VERB ijassa-1301 156 7 two two NUM ijassa-1301 156 8 equations equation NOUN ijassa-1301 156 9 οΏ½ οΏ½ PROPN ijassa-1301 156 10 Μ‡ Μ‡ PROPN ijassa-1301 156 11 οΏ½ οΏ½ PROPN ijassa-1301 156 12 ( ( PUNCT ijassa-1301 156 13 𝑑 𝑑 NOUN ijassa-1301 156 14 ) ) PUNCT ijassa-1301 156 15 = = PUNCT ijassa-1301 156 16 πœ‡π‘Ž πœ‡π‘Ž ADP ijassa-1301 156 17 βˆ’ βˆ’ NOUN ijassa-1301 156 18 πœ†π‘Ž πœ†π‘Ž INTJ ijassa-1301 156 19 1 1 NUM ijassa-1301 156 20 βˆ’ βˆ’ PROPN ijassa-1301 156 21 𝑧 𝑧 PROPN ijassa-1301 156 22 ( ( PUNCT ijassa-1301 156 23 𝑑 𝑑 NOUN ijassa-1301 156 24 ) ) PUNCT ijassa-1301 156 25 , , PUNCT ijassa-1301 156 26 𝑑 𝑑 PROPN ijassa-1301 156 27 ∈ ∈ PROPN ijassa-1301 156 28 𝑑 𝑑 PROPN ijassa-1301 156 29 , , PUNCT ijassa-1301 156 30 + + NOUN ijassa-1301 156 31 ∞ ∞ PROPN ijassa-1301 156 32 , , PUNCT ijassa-1301 156 33 ( ( PUNCT ijassa-1301 156 34 3.8 3.8 NUM ijassa-1301 156 35 ) ) PUNCT ijassa-1301 156 36 οΏ½ οΏ½ PROPN ijassa-1301 156 37 Μ‡ Μ‡ PROPN ijassa-1301 156 38 οΏ½ οΏ½ PROPN ijassa-1301 156 39 ( ( PUNCT ijassa-1301 156 40 𝑑 𝑑 NOUN ijassa-1301 156 41 ) ) PUNCT ijassa-1301 156 42 = = PUNCT ijassa-1301 157 1 π‘Ž π‘Ž PRON ijassa-1301 157 2 1 1 NUM ijassa-1301 157 3 βˆ’ βˆ’ NOUN ijassa-1301 157 4 𝑧 𝑧 PROPN ijassa-1301 157 5 ( ( PUNCT ijassa-1301 157 6 𝑑 𝑑 NOUN ijassa-1301 157 7 ) ) PUNCT ijassa-1301 157 8 βˆ’ βˆ’ NOUN ijassa-1301 157 9 πœ†π‘Ž πœ†π‘Ž INTJ ijassa-1301 157 10 1 1 NUM ijassa-1301 157 11 βˆ’ βˆ’ PROPN ijassa-1301 157 12 𝑧 𝑧 PROPN ijassa-1301 157 13 ( ( PUNCT ijassa-1301 157 14 𝑑 𝑑 NOUN ijassa-1301 157 15 ) ) PUNCT ijassa-1301 157 16 , , PUNCT ijassa-1301 157 17 𝑑 𝑑 PROPN ijassa-1301 157 18 ∈ ∈ PROPN ijassa-1301 157 19 𝑑 𝑑 PROPN ijassa-1301 157 20 , , PUNCT ijassa-1301 157 21 + + NOUN ijassa-1301 157 22 ∞ ∞ PROPN ijassa-1301 157 23 , , PUNCT ijassa-1301 157 24 ( ( PUNCT ijassa-1301 157 25 3.9 3.9 NUM ijassa-1301 157 26 ) ) PUNCT ijassa-1301 157 27 where where SCONJ ijassa-1301 157 28 𝑑 𝑑 PROPN ijassa-1301 157 29 β‰₯ β‰₯ PROPN ijassa-1301 157 30 𝑑 𝑑 NOUN ijassa-1301 157 31 . . PUNCT ijassa-1301 158 1 using use VERB ijassa-1301 158 2 the the DET ijassa-1301 158 3 expression expression NOUN ijassa-1301 158 4 for for ADP ijassa-1301 158 5 𝑧 𝑧 PROPN ijassa-1301 158 6 ( ( PUNCT ijassa-1301 158 7 𝑑 𝑑 NOUN ijassa-1301 158 8 ) ) PUNCT ijassa-1301 158 9 from from ADP ijassa-1301 158 10 ( ( PUNCT ijassa-1301 158 11 3.6 3.6 NUM ijassa-1301 158 12 ) ) PUNCT ijassa-1301 158 13 , , PUNCT ijassa-1301 158 14 we we PRON ijassa-1301 158 15 obtain obtain VERB ijassa-1301 158 16 the the DET ijassa-1301 158 17 solution solution NOUN ijassa-1301 158 18 of of ADP ijassa-1301 158 19 equations equation NOUN ijassa-1301 158 20 ( ( PUNCT ijassa-1301 158 21 3.8 3.8 NUM ijassa-1301 158 22 ) ) PUNCT ijassa-1301 158 23 and and CCONJ ijassa-1301 158 24 ( ( PUNCT ijassa-1301 158 25 3.9 3.9 NUM ijassa-1301 158 26 ) ) PUNCT ijassa-1301 158 27 . . PUNCT ijassa-1301 159 1 they they PRON ijassa-1301 159 2 can can AUX ijassa-1301 159 3 be be AUX ijassa-1301 159 4 represented represent VERB ijassa-1301 159 5 as as SCONJ ijassa-1301 159 6 follows follow VERB ijassa-1301 159 7 𝑧 𝑧 PROPN ijassa-1301 159 8 ( ( PUNCT ijassa-1301 159 9 𝑑 𝑑 NOUN ijassa-1301 159 10 ) ) PUNCT ijassa-1301 159 11 = = VERB ijassa-1301 160 1 π‘Ž(πœ‡ π‘Ž(πœ‡ ADJ ijassa-1301 160 2 βˆ’ βˆ’ NOUN ijassa-1301 160 3 𝛾)𝑑 𝛾)𝑑 NOUN ijassa-1301 160 4 + + CCONJ ijassa-1301 160 5 𝐹 𝐹 PROPN ijassa-1301 160 6 ( ( PUNCT ijassa-1301 160 7 𝑑 𝑑 NOUN ijassa-1301 160 8 ) ) PUNCT ijassa-1301 160 9 + + CCONJ ijassa-1301 160 10 𝑐 𝑐 PROPN ijassa-1301 160 11 , , PUNCT ijassa-1301 160 12 where where SCONJ ijassa-1301 160 13 𝐹 𝐹 PROPN ijassa-1301 160 14 ( ( PUNCT ijassa-1301 160 15 𝑑 𝑑 NOUN ijassa-1301 160 16 ) ) PUNCT ijassa-1301 160 17 ∈ ∈ PROPN ijassa-1301 160 18 с с PROPN ijassa-1301 160 19 𝑑 𝑑 PROPN ijassa-1301 160 20 , , PUNCT ijassa-1301 160 21 + + NOUN ijassa-1301 160 22 ∞ ∞ PROPN ijassa-1301 160 23 , , PUNCT ijassa-1301 160 24 lim lim PROPN ijassa-1301 160 25 β†’ β†’ SYM ijassa-1301 160 26 𝐹 𝐹 PROPN ijassa-1301 160 27 ( ( PUNCT ijassa-1301 160 28 𝑑 𝑑 NOUN ijassa-1301 160 29 ) ) PUNCT ijassa-1301 160 30 = = SYM ijassa-1301 160 31 0 0 NUM ijassa-1301 160 32 , , PUNCT ijassa-1301 160 33 ( ( PUNCT ijassa-1301 160 34 3.10 3.10 NUM ijassa-1301 160 35 ) ) PUNCT ijassa-1301 160 36 𝑧 𝑧 PROPN ijassa-1301 160 37 ( ( PUNCT ijassa-1301 160 38 𝑑 𝑑 NOUN ijassa-1301 160 39 ) ) PUNCT ijassa-1301 160 40 = = SYM ijassa-1301 161 1 1 1 NUM ijassa-1301 161 2 βˆ’ βˆ’ NOUN ijassa-1301 161 3 𝛾 𝛾 NOUN ijassa-1301 161 4 + + CCONJ ijassa-1301 162 1 𝐹 𝐹 PROPN ijassa-1301 162 2 ( ( PUNCT ijassa-1301 162 3 𝑑 𝑑 NOUN ijassa-1301 162 4 ) ) PUNCT ijassa-1301 162 5 , , PUNCT ijassa-1301 162 6 where where SCONJ ijassa-1301 162 7 𝐹 𝐹 PROPN ijassa-1301 162 8 ( ( PUNCT ijassa-1301 162 9 𝑑 𝑑 NOUN ijassa-1301 162 10 ) ) PUNCT ijassa-1301 162 11 ∈ ∈ PROPN ijassa-1301 162 12 с с PROPN ijassa-1301 162 13 𝑑 𝑑 PROPN ijassa-1301 162 14 , , PUNCT ijassa-1301 162 15 + + NOUN ijassa-1301 162 16 ∞ ∞ PROPN ijassa-1301 162 17 , , PUNCT ijassa-1301 162 18 lim lim PROPN ijassa-1301 162 19 β†’ β†’ SYM ijassa-1301 162 20 𝐹 𝐹 PROPN ijassa-1301 162 21 ( ( PUNCT ijassa-1301 162 22 𝑑 𝑑 NOUN ijassa-1301 162 23 ) ) PUNCT ijassa-1301 162 24 = = SYM ijassa-1301 162 25 0 0 NUM ijassa-1301 162 26 ( ( PUNCT ijassa-1301 162 27 3.11 3.11 NUM ijassa-1301 162 28 ) ) PUNCT ijassa-1301 162 29 these these DET ijassa-1301 162 30 solutions solution NOUN ijassa-1301 162 31 allow allow VERB ijassa-1301 162 32 us we PRON ijassa-1301 162 33 to to PART ijassa-1301 162 34 investigate investigate VERB ijassa-1301 162 35 the the DET ijassa-1301 162 36 asymptotic asymptotic ADJ ijassa-1301 162 37 behavior behavior NOUN ijassa-1301 162 38 of of ADP ijassa-1301 162 39 the the DET ijassa-1301 162 40 solution solution NOUN ijassa-1301 162 41 of of ADP ijassa-1301 162 42 equation equation NOUN ijassa-1301 162 43 ( ( PUNCT ijassa-1301 162 44 3.7 3.7 NUM ijassa-1301 162 45 ) ) PUNCT ijassa-1301 162 46 . . PUNCT ijassa-1301 163 1 it it PRON ijassa-1301 163 2 is be AUX ijassa-1301 163 3 easy easy ADJ ijassa-1301 163 4 to to PART ijassa-1301 163 5 see see VERB ijassa-1301 163 6 that that SCONJ ijassa-1301 163 7 when when SCONJ ijassa-1301 163 8 𝛾 𝛾 ADP ijassa-1301 163 9 < < X ijassa-1301 163 10 πœ‡ πœ‡ ADP ijassa-1301 163 11 the the DET ijassa-1301 163 12 asymptotics asymptotic NOUN ijassa-1301 163 13 of of ADP ijassa-1301 163 14 the the DET ijassa-1301 163 15 solution solution NOUN ijassa-1301 163 16 of of ADP ijassa-1301 163 17 equation equation NOUN ijassa-1301 163 18 ( ( PUNCT ijassa-1301 163 19 3.7 3.7 NUM ijassa-1301 163 20 ) ) PUNCT ijassa-1301 163 21 is be AUX ijassa-1301 164 1 84 84 NUM ijassa-1301 164 2 n.k n.k PROPN ijassa-1301 164 3 . . NOUN ijassa-1301 164 4 khachatryan khachatryan PROPN ijassa-1301 164 5 copyright copyright NOUN ijassa-1301 165 1 Β© Β© PROPN ijassa-1301 165 2 0000 0000 NUM ijassa-1301 165 3 assa assa PROPN ijassa-1301 165 4 adv adv PROPN ijassa-1301 165 5 . . PUNCT ijassa-1301 166 1 in in ADP ijassa-1301 166 2 systems system NOUN ijassa-1301 166 3 science science NOUN ijassa-1301 166 4 and and CCONJ ijassa-1301 166 5 appl appl NOUN ijassa-1301 166 6 . . PUNCT ijassa-1301 167 1 ( ( PUNCT ijassa-1301 167 2 0000 0000 NUM ijassa-1301 167 3 ) ) PUNCT ijassa-1301 167 4 determined determine VERB ijassa-1301 167 5 by by ADP ijassa-1301 167 6 the the DET ijassa-1301 167 7 relation relation NOUN ijassa-1301 167 8 ( ( PUNCT ijassa-1301 167 9 3.11 3.11 NUM ijassa-1301 167 10 ) ) PUNCT ijassa-1301 167 11 , , PUNCT ijassa-1301 167 12 i.e. i.e. X ijassa-1301 167 13 lim lim PROPN ijassa-1301 167 14 β†’ β†’ SYM ijassa-1301 167 15 𝑧 𝑧 PROPN ijassa-1301 167 16 ( ( PUNCT ijassa-1301 167 17 𝑑 𝑑 NOUN ijassa-1301 167 18 ) ) PUNCT ijassa-1301 167 19 = = SYM ijassa-1301 167 20 1 1 NUM ijassa-1301 167 21 βˆ’ βˆ’ NOUN ijassa-1301 167 22 𝛾 𝛾 NOUN ijassa-1301 167 23 . . PUNCT ijassa-1301 168 1 for for ADP ijassa-1301 168 2 𝛾 𝛾 PROPN ijassa-1301 168 3 > > PUNCT ijassa-1301 168 4 πœ‡ πœ‡ ADP ijassa-1301 168 5 the the DET ijassa-1301 168 6 asymptotics asymptotic NOUN ijassa-1301 168 7 of of ADP ijassa-1301 168 8 equation equation NOUN ijassa-1301 168 9 ( ( PUNCT ijassa-1301 168 10 3.7 3.7 NUM ijassa-1301 168 11 ) ) PUNCT ijassa-1301 168 12 is be AUX ijassa-1301 168 13 determined determine VERB ijassa-1301 168 14 by by ADP ijassa-1301 168 15 the the DET ijassa-1301 168 16 relation relation NOUN ijassa-1301 168 17 ( ( PUNCT ijassa-1301 168 18 3.10 3.10 NUM ijassa-1301 168 19 ) ) PUNCT ijassa-1301 168 20 , , PUNCT ijassa-1301 168 21 i.e. i.e. X ijassa-1301 168 22 𝑧 𝑧 X ijassa-1301 168 23 ( ( PUNCT ijassa-1301 168 24 . . PUNCT ijassa-1301 168 25 ) ) PUNCT ijassa-1301 169 1 decreases decrease VERB ijassa-1301 169 2 linearly linearly ADV ijassa-1301 169 3 and and CCONJ ijassa-1301 169 4 lim lim PROPN ijassa-1301 169 5 β†’ β†’ SYM ijassa-1301 169 6 𝑧 𝑧 PROPN ijassa-1301 169 7 ( ( PUNCT ijassa-1301 169 8 𝑑 𝑑 NOUN ijassa-1301 169 9 ) ) PUNCT ijassa-1301 169 10 = = PUNCT ijassa-1301 170 1 βˆ’ βˆ’ PROPN ijassa-1301 170 2 ∞ ∞ PROPN ijassa-1301 170 3 . . PUNCT ijassa-1301 171 1 for for ADP ijassa-1301 171 2 𝛾 𝛾 NOUN ijassa-1301 171 3 = = SYM ijassa-1301 171 4 πœ‡ πœ‡ ADP ijassa-1301 171 5 the the DET ijassa-1301 171 6 asymptotics asymptotic NOUN ijassa-1301 171 7 of of ADP ijassa-1301 171 8 equation equation NOUN ijassa-1301 171 9 ( ( PUNCT ijassa-1301 171 10 3.7 3.7 NUM ijassa-1301 171 11 ) ) PUNCT ijassa-1301 171 12 , , PUNCT ijassa-1301 171 13 depending depend VERB ijassa-1301 171 14 on on ADP ijassa-1301 171 15 the the DET ijassa-1301 171 16 initial initial ADJ ijassa-1301 171 17 conditions condition NOUN ijassa-1301 171 18 , , PUNCT ijassa-1301 171 19 can can AUX ijassa-1301 171 20 be be AUX ijassa-1301 171 21 determined determine VERB ijassa-1301 171 22 by by ADP ijassa-1301 171 23 both both DET ijassa-1301 171 24 equation equation NOUN ijassa-1301 171 25 ( ( PUNCT ijassa-1301 171 26 3.10 3.10 NUM ijassa-1301 171 27 ) ) PUNCT ijassa-1301 171 28 and and CCONJ ijassa-1301 171 29 equation equation NOUN ijassa-1301 171 30 ( ( PUNCT ijassa-1301 171 31 3.11 3.11 NUM ijassa-1301 171 32 ) ) PUNCT ijassa-1301 171 33 , , PUNCT ijassa-1301 171 34 i.e. i.e. X ijassa-1301 171 35 either either CCONJ ijassa-1301 171 36 lim lim PROPN ijassa-1301 171 37 β†’ β†’ SYM ijassa-1301 171 38 𝑧 𝑧 PROPN ijassa-1301 171 39 ( ( PUNCT ijassa-1301 171 40 𝑑 𝑑 NOUN ijassa-1301 171 41 ) ) PUNCT ijassa-1301 171 42 = = SYM ijassa-1301 171 43 с с PROPN ijassa-1301 171 44 , , PUNCT ijassa-1301 171 45 where where SCONJ ijassa-1301 171 46 с с PROPN ijassa-1301 171 47 < < X ijassa-1301 171 48 1 1 NUM ijassa-1301 171 49 βˆ’ βˆ’ NOUN ijassa-1301 171 50 πœ‡ πœ‡ ADP ijassa-1301 171 51 or or CCONJ ijassa-1301 171 52 lim lim PROPN ijassa-1301 171 53 β†’ β†’ SYM ijassa-1301 171 54 𝑧 𝑧 PROPN ijassa-1301 171 55 ( ( PUNCT ijassa-1301 171 56 𝑑 𝑑 NOUN ijassa-1301 171 57 ) ) PUNCT ijassa-1301 171 58 = = SYM ijassa-1301 172 1 1 1 NUM ijassa-1301 172 2 βˆ’ βˆ’ NOUN ijassa-1301 172 3 πœ‡. πœ‡. NOUN ijassa-1301 172 4 β–‘ β–‘ PUNCT ijassa-1301 172 5 let let VERB ijassa-1301 172 6 us we PRON ijassa-1301 172 7 proceed proceed VERB ijassa-1301 172 8 to to ADP ijassa-1301 172 9 the the DET ijassa-1301 172 10 study study NOUN ijassa-1301 172 11 of of ADP ijassa-1301 172 12 solutions solution NOUN ijassa-1301 172 13 of of ADP ijassa-1301 172 14 system system NOUN ijassa-1301 172 15 ( ( PUNCT ijassa-1301 172 16 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 172 17 ) ) PUNCT ijassa-1301 172 18 satisfying satisfy VERB ijassa-1301 172 19 constraints constraint NOUN ijassa-1301 172 20 ( ( PUNCT ijassa-1301 172 21 2.15 2.15 NUM ijassa-1301 172 22 ) ) PUNCT ijassa-1301 172 23 . . PUNCT ijassa-1301 173 1 lemma lemma PROPN ijassa-1301 173 2 3.1 3.1 NUM ijassa-1301 173 3 : : PUNCT ijassa-1301 173 4 for for ADP ijassa-1301 173 5 all all DET ijassa-1301 173 6 values value NOUN ijassa-1301 173 7 of of ADP ijassa-1301 173 8 parameters parameter NOUN ijassa-1301 173 9 π‘Ž π‘Ž X ijassa-1301 173 10 > > X ijassa-1301 173 11 0 0 NUM ijassa-1301 173 12 , , PUNCT ijassa-1301 173 13 𝛾 𝛾 VERB ijassa-1301 173 14 > > X ijassa-1301 173 15 0 0 PUNCT ijassa-1301 174 1 and and CCONJ ijassa-1301 174 2 πœ† πœ† NOUN ijassa-1301 174 3 , , PUNCT ijassa-1301 174 4 𝛾 𝛾 ADP ijassa-1301 174 5 ≀ ≀ NUM ijassa-1301 174 6 πœ† πœ† DET ijassa-1301 174 7 ≀ ≀ NUM ijassa-1301 174 8 1 1 NUM ijassa-1301 174 9 components component NOUN ijassa-1301 174 10 𝑧 𝑧 PROPN ijassa-1301 174 11 ( ( PUNCT ijassa-1301 174 12 . . PUNCT ijassa-1301 174 13 ) ) PUNCT ijassa-1301 174 14 , , PUNCT ijassa-1301 174 15 𝑧 𝑧 PROPN ijassa-1301 174 16 ( ( PUNCT ijassa-1301 174 17 . . PUNCT ijassa-1301 174 18 ) ) PUNCT ijassa-1301 174 19 , , PUNCT ijassa-1301 174 20 … … PUNCT ijassa-1301 174 21 𝑧 𝑧 X ijassa-1301 174 22 ( ( PUNCT ijassa-1301 174 23 . . PUNCT ijassa-1301 174 24 ) ) PUNCT ijassa-1301 174 25 of of ADP ijassa-1301 174 26 an an DET ijassa-1301 174 27 arbitrary arbitrary ADJ ijassa-1301 174 28 solution solution NOUN ijassa-1301 174 29 of of ADP ijassa-1301 174 30 the the DET ijassa-1301 174 31 system system NOUN ijassa-1301 174 32 ( ( PUNCT ijassa-1301 174 33 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 174 34 ) ) PUNCT ijassa-1301 174 35 satisfying satisfy VERB ijassa-1301 174 36 the the DET ijassa-1301 174 37 constraints constraint NOUN ijassa-1301 174 38 ( ( PUNCT ijassa-1301 174 39 2.15 2.15 NUM ijassa-1301 174 40 ) ) PUNCT ijassa-1301 174 41 at at ADP ijassa-1301 174 42 the the DET ijassa-1301 174 43 initial initial ADJ ijassa-1301 174 44 moment moment NOUN ijassa-1301 174 45 of of ADP ijassa-1301 174 46 time time NOUN ijassa-1301 174 47 will will AUX ijassa-1301 174 48 satisfy satisfy VERB ijassa-1301 174 49 them they PRON ijassa-1301 174 50 at at ADP ijassa-1301 174 51 subsequent subsequent ADJ ijassa-1301 174 52 moments moment NOUN ijassa-1301 174 53 of of ADP ijassa-1301 174 54 time time NOUN ijassa-1301 174 55 . . PUNCT ijassa-1301 175 1 proof proof NOUN ijassa-1301 175 2 . . PUNCT ijassa-1301 176 1 let let VERB ijassa-1301 176 2 's us PRON ijassa-1301 176 3 start start VERB ijassa-1301 176 4 by by ADP ijassa-1301 176 5 considering consider VERB ijassa-1301 176 6 the the DET ijassa-1301 176 7 last last ADJ ijassa-1301 176 8 component component NOUN ijassa-1301 176 9 of of ADP ijassa-1301 176 10 the the DET ijassa-1301 176 11 solution solution NOUN ijassa-1301 176 12 of of ADP ijassa-1301 176 13 the the DET ijassa-1301 176 14 system system NOUN ijassa-1301 176 15 ( ( PUNCT ijassa-1301 176 16 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 176 17 ) ) PUNCT ijassa-1301 176 18 , , PUNCT ijassa-1301 176 19 i.e. i.e. X ijassa-1301 176 20 𝑧 𝑧 X ijassa-1301 176 21 ( ( PUNCT ijassa-1301 176 22 . . PUNCT ijassa-1301 176 23 ) ) PUNCT ijassa-1301 176 24 . . PUNCT ijassa-1301 177 1 it it PRON ijassa-1301 177 2 has have VERB ijassa-1301 177 3 the the DET ijassa-1301 177 4 form form NOUN ijassa-1301 177 5 ( ( PUNCT ijassa-1301 177 6 3.4 3.4 NUM ijassa-1301 177 7 ) ) PUNCT ijassa-1301 177 8 , , PUNCT ijassa-1301 177 9 where where SCONJ ijassa-1301 177 10 с с PROPN ijassa-1301 177 11 is be AUX ijassa-1301 177 12 determined determine VERB ijassa-1301 177 13 from from ADP ijassa-1301 177 14 the the DET ijassa-1301 177 15 condition condition NOUN ijassa-1301 177 16 1 1 NUM ijassa-1301 177 17 βˆ’ βˆ’ NOUN ijassa-1301 178 1 + + CCONJ ijassa-1301 178 2 𝑐 𝑐 PROPN ijassa-1301 178 3 𝑒 𝑒 PROPN ijassa-1301 178 4 = = SYM ijassa-1301 178 5 𝑧 𝑧 PROPN ijassa-1301 178 6 , , PUNCT ijassa-1301 178 7 where where SCONJ ijassa-1301 178 8 0 0 NUM ijassa-1301 178 9 ≀ ≀ NOUN ijassa-1301 179 1 𝑧 𝑧 PRON ijassa-1301 179 2 ≀ ≀ NUM ijassa-1301 179 3 1 1 NUM ijassa-1301 179 4 , , PUNCT ijassa-1301 179 5 i.e. i.e. X ijassa-1301 179 6 𝑐 𝑐 X ijassa-1301 179 7 = = SYM ijassa-1301 179 8 ( ( PUNCT ijassa-1301 179 9 βˆ’ βˆ’ PROPN ijassa-1301 179 10 1 1 NUM ijassa-1301 179 11 + + CCONJ ijassa-1301 179 12 𝑧 𝑧 X ijassa-1301 179 13 ) ) PUNCT ijassa-1301 179 14 𝑒 𝑒 PROPN ijassa-1301 179 15 , , PUNCT ijassa-1301 179 16 where where SCONJ ijassa-1301 179 17 0 0 NUM ijassa-1301 179 18 ≀ ≀ NOUN ijassa-1301 180 1 𝑧 𝑧 PRON ijassa-1301 180 2 ≀ ≀ NUM ijassa-1301 180 3 1 1 NUM ijassa-1301 180 4 . . PUNCT ijassa-1301 180 5 ( ( PUNCT ijassa-1301 180 6 3.12 3.12 NUM ijassa-1301 180 7 ) ) PUNCT ijassa-1301 180 8 from from ADP ijassa-1301 180 9 ( ( PUNCT ijassa-1301 180 10 3.12 3.12 NUM ijassa-1301 180 11 ) ) PUNCT ijassa-1301 180 12 follows follow VERB ijassa-1301 180 13 ( ( PUNCT ijassa-1301 180 14 βˆ’ βˆ’ PROPN ijassa-1301 180 15 1)𝑒 1)𝑒 NUM ijassa-1301 180 16 ≀ ≀ NUM ijassa-1301 180 17 𝑐 𝑐 PROPN ijassa-1301 180 18 ≀ ≀ NUM ijassa-1301 180 19 𝑒 𝑒 ADV ijassa-1301 180 20 . . PUNCT ijassa-1301 181 1 using use VERB ijassa-1301 181 2 this this DET ijassa-1301 181 3 estimate estimate NOUN ijassa-1301 181 4 for for ADP ijassa-1301 181 5 𝑐 𝑐 NOUN ijassa-1301 181 6 and and CCONJ ijassa-1301 181 7 expression expression NOUN ijassa-1301 181 8 ( ( PUNCT ijassa-1301 181 9 3.4 3.4 NUM ijassa-1301 181 10 ) ) PUNCT ijassa-1301 181 11 , , PUNCT ijassa-1301 181 12 we we PRON ijassa-1301 181 13 get get VERB ijassa-1301 181 14 an an DET ijassa-1301 181 15 estimate estimate NOUN ijassa-1301 181 16 for for ADP ijassa-1301 181 17 𝑧 𝑧 PROPN ijassa-1301 181 18 ( ( PUNCT ijassa-1301 181 19 . . PUNCT ijassa-1301 181 20 ) ) PUNCT ijassa-1301 181 21 . . PUNCT ijassa-1301 182 1 it it PRON ijassa-1301 182 2 will will AUX ijassa-1301 182 3 take take VERB ijassa-1301 182 4 the the DET ijassa-1301 182 5 following follow VERB ijassa-1301 182 6 form form NOUN ijassa-1301 182 7 ( ( PUNCT ijassa-1301 182 8 1 1 NUM ijassa-1301 182 9 βˆ’ βˆ’ NOUN ijassa-1301 182 10 ) ) PUNCT ijassa-1301 182 11 ( ( PUNCT ijassa-1301 182 12 1 1 NUM ijassa-1301 182 13 βˆ’ βˆ’ PROPN ijassa-1301 182 14 𝑒 𝑒 PROPN ijassa-1301 182 15 𝑒 𝑒 NOUN ijassa-1301 182 16 ) ) PUNCT ijassa-1301 182 17 ≀ ≀ NOUN ijassa-1301 183 1 𝑧 𝑧 PRON ijassa-1301 183 2 ( ( PUNCT ijassa-1301 183 3 𝑑 𝑑 NOUN ijassa-1301 183 4 ) ) PUNCT ijassa-1301 183 5 ≀ ≀ NUM ijassa-1301 183 6 1 1 NUM ijassa-1301 183 7 βˆ’ βˆ’ PROPN ijassa-1301 184 1 ( ( PUNCT ijassa-1301 184 2 1 1 NUM ijassa-1301 184 3 βˆ’ βˆ’ PROPN ijassa-1301 184 4 𝑒 𝑒 PROPN ijassa-1301 184 5 𝑒 𝑒 PROPN ijassa-1301 184 6 ) ) PUNCT ijassa-1301 184 7 . . PUNCT ijassa-1301 185 1 ( ( PUNCT ijassa-1301 185 2 3.13 3.13 NUM ijassa-1301 185 3 ) ) PUNCT ijassa-1301 185 4 it it PRON ijassa-1301 185 5 follows follow VERB ijassa-1301 185 6 from from ADP ijassa-1301 185 7 ( ( PUNCT ijassa-1301 185 8 3.13 3.13 NUM ijassa-1301 185 9 ) ) PUNCT ijassa-1301 185 10 that that SCONJ ijassa-1301 185 11 for for ADP ijassa-1301 185 12 all all PRON ijassa-1301 185 13 𝛾 𝛾 ADP ijassa-1301 185 14 ≀ ≀ NOUN ijassa-1301 185 15 πœ† πœ† ADV ijassa-1301 185 16 there there PRON ijassa-1301 185 17 is be VERB ijassa-1301 185 18 an an DET ijassa-1301 185 19 inequality inequality NOUN ijassa-1301 185 20 0 0 NUM ijassa-1301 185 21 ≀ ≀ NOUN ijassa-1301 185 22 𝑧 𝑧 PRON ijassa-1301 185 23 ( ( PUNCT ijassa-1301 185 24 𝑑 𝑑 NOUN ijassa-1301 185 25 ) ) PUNCT ijassa-1301 185 26 ≀ ≀ NUM ijassa-1301 185 27 1 1 NUM ijassa-1301 185 28 , , PUNCT ijassa-1301 185 29 𝑑 𝑑 PROPN ijassa-1301 185 30 ∈ ∈ PROPN ijassa-1301 186 1 [ [ X ijassa-1301 186 2 𝑑 𝑑 X ijassa-1301 186 3 , , PUNCT ijassa-1301 186 4 + + NOUN ijassa-1301 186 5 ∞ ∞ NOUN ijassa-1301 186 6 ) ) PUNCT ijassa-1301 186 7 . . PUNCT ijassa-1301 187 1 ( ( PUNCT ijassa-1301 187 2 3.14 3.14 NUM ijassa-1301 187 3 ) ) PUNCT ijassa-1301 187 4 we we PRON ijassa-1301 187 5 show show VERB ijassa-1301 187 6 that that SCONJ ijassa-1301 187 7 for for ADP ijassa-1301 187 8 the the DET ijassa-1301 187 9 other other ADJ ijassa-1301 187 10 components component NOUN ijassa-1301 187 11 of of ADP ijassa-1301 187 12 the the DET ijassa-1301 187 13 solution solution NOUN ijassa-1301 187 14 of of ADP ijassa-1301 187 15 the the DET ijassa-1301 187 16 system system NOUN ijassa-1301 187 17 ( ( PUNCT ijassa-1301 187 18 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 187 19 ) ) PUNCT ijassa-1301 187 20 , , PUNCT ijassa-1301 187 21 inequalities inequality NOUN ijassa-1301 187 22 similar similar ADJ ijassa-1301 187 23 to to ADP ijassa-1301 187 24 inequality inequality NOUN ijassa-1301 187 25 ( ( PUNCT ijassa-1301 187 26 3.14 3.14 NUM ijassa-1301 187 27 ) ) PUNCT ijassa-1301 187 28 are be AUX ijassa-1301 187 29 fulfilled fulfil VERB ijassa-1301 187 30 . . PUNCT ijassa-1301 188 1 let let VERB ijassa-1301 188 2 's us PRON ijassa-1301 188 3 start start VERB ijassa-1301 188 4 with with ADP ijassa-1301 188 5 the the DET ijassa-1301 188 6 component component NOUN ijassa-1301 188 7 𝑧 𝑧 PROPN ijassa-1301 188 8 ( ( PUNCT ijassa-1301 188 9 . . PUNCT ijassa-1301 188 10 ) ) PUNCT ijassa-1301 188 11 . . PUNCT ijassa-1301 189 1 to to PART ijassa-1301 189 2 do do VERB ijassa-1301 189 3 this this PRON ijassa-1301 189 4 , , PUNCT ijassa-1301 189 5 consider consider VERB ijassa-1301 189 6 equation equation NOUN ijassa-1301 189 7 ( ( PUNCT ijassa-1301 189 8 2.13 2.13 NUM ijassa-1301 189 9 ) ) PUNCT ijassa-1301 189 10 for for ADP ijassa-1301 189 11 𝑖 𝑖 NOUN ijassa-1301 189 12 = = SYM ijassa-1301 189 13 π‘š π‘š NOUN ijassa-1301 189 14 : : PUNCT ijassa-1301 189 15 οΏ½ οΏ½ PROPN ijassa-1301 189 16 Μ‡ Μ‡ PROPN ijassa-1301 189 17 οΏ½ οΏ½ PROPN ijassa-1301 189 18 ( ( PUNCT ijassa-1301 189 19 𝑑 𝑑 NOUN ijassa-1301 189 20 ) ) PUNCT ijassa-1301 189 21 = = NOUN ijassa-1301 190 1 πœ†π‘Ž πœ†π‘Ž ADP ijassa-1301 190 2 𝑧 𝑧 X ijassa-1301 190 3 ( ( PUNCT ijassa-1301 190 4 𝑑 𝑑 NOUN ijassa-1301 190 5 ) ) PUNCT ijassa-1301 190 6 βˆ’ βˆ’ PROPN ijassa-1301 190 7 𝑧 𝑧 PROPN ijassa-1301 190 8 ( ( PUNCT ijassa-1301 190 9 𝑑 𝑑 NOUN ijassa-1301 190 10 ) ) PUNCT ijassa-1301 190 11 , , PUNCT ijassa-1301 190 12 𝑑 𝑑 PROPN ijassa-1301 190 13 ∈ ∈ PROPN ijassa-1301 191 1 [ [ X ijassa-1301 191 2 𝑑 𝑑 X ijassa-1301 191 3 , , PUNCT ijassa-1301 191 4 + + NOUN ijassa-1301 191 5 ∞ ∞ NOUN ijassa-1301 191 6 ) ) PUNCT ijassa-1301 191 7 . . PUNCT ijassa-1301 192 1 we we PRON ijassa-1301 192 2 show show VERB ijassa-1301 192 3 that that SCONJ ijassa-1301 192 4 the the DET ijassa-1301 192 5 function function NOUN ijassa-1301 192 6 𝑧 𝑧 X ijassa-1301 192 7 ( ( PUNCT ijassa-1301 192 8 . . PUNCT ijassa-1301 192 9 ) ) PUNCT ijassa-1301 192 10 can can AUX ijassa-1301 192 11 not not PART ijassa-1301 192 12 take take VERB ijassa-1301 192 13 a a DET ijassa-1301 192 14 value value NOUN ijassa-1301 192 15 greater great ADJ ijassa-1301 192 16 than than ADP ijassa-1301 192 17 1 1 NUM ijassa-1301 192 18 . . PUNCT ijassa-1301 193 1 indeed indeed ADV ijassa-1301 193 2 , , PUNCT ijassa-1301 193 3 otherwise otherwise ADV ijassa-1301 193 4 , , PUNCT ijassa-1301 193 5 due due ADP ijassa-1301 193 6 to to ADP ijassa-1301 193 7 the the DET ijassa-1301 193 8 continuity continuity NOUN ijassa-1301 193 9 of of ADP ijassa-1301 193 10 the the DET ijassa-1301 193 11 function function NOUN ijassa-1301 193 12 𝑧 𝑧 X ijassa-1301 193 13 ( ( PUNCT ijassa-1301 193 14 . . PUNCT ijassa-1301 193 15 ) ) PUNCT ijassa-1301 194 1 there there PRON ijassa-1301 194 2 must must AUX ijassa-1301 194 3 be be AUX ijassa-1301 194 4 a a DET ijassa-1301 194 5 point point NOUN ijassa-1301 194 6 π‘‘βˆ— π‘‘βˆ— NOUN ijassa-1301 194 7 > > X ijassa-1301 194 8 𝑑 𝑑 PROPN ijassa-1301 194 9 , , PUNCT ijassa-1301 194 10 such such ADJ ijassa-1301 194 11 that that SCONJ ijassa-1301 194 12 𝑧 𝑧 PROPN ijassa-1301 194 13 ( ( PUNCT ijassa-1301 194 14 π‘‘βˆ— π‘‘βˆ— NOUN ijassa-1301 194 15 ) ) PUNCT ijassa-1301 194 16 = = SYM ijassa-1301 194 17 1 1 X ijassa-1301 194 18 . . PUNCT ijassa-1301 195 1 then then ADV ijassa-1301 195 2 it it PRON ijassa-1301 195 3 follows follow VERB ijassa-1301 195 4 from from ADP ijassa-1301 195 5 ( ( PUNCT ijassa-1301 195 6 3.14 3.14 NUM ijassa-1301 195 7 ) ) PUNCT ijassa-1301 195 8 that that PRON ijassa-1301 195 9 οΏ½ οΏ½ AUX ijassa-1301 195 10 Μ‡ Μ‡ PROPN ijassa-1301 195 11 οΏ½ οΏ½ PROPN ijassa-1301 195 12 ( ( PUNCT ijassa-1301 195 13 π‘‘βˆ— π‘‘βˆ— PROPN ijassa-1301 195 14 ) ) PUNCT ijassa-1301 195 15 ≀ ≀ NUM ijassa-1301 195 16 0 0 NUM ijassa-1301 195 17 . . PUNCT ijassa-1301 196 1 similarly similarly ADV ijassa-1301 196 2 , , PUNCT ijassa-1301 196 3 the the DET ijassa-1301 196 4 function function NOUN ijassa-1301 196 5 𝑧 𝑧 X ijassa-1301 196 6 ( ( PUNCT ijassa-1301 196 7 . . PUNCT ijassa-1301 196 8 ) ) PUNCT ijassa-1301 196 9 can can AUX ijassa-1301 196 10 not not PART ijassa-1301 196 11 take take VERB ijassa-1301 196 12 a a DET ijassa-1301 196 13 value value NOUN ijassa-1301 196 14 less less ADJ ijassa-1301 196 15 than than ADP ijassa-1301 196 16 0 0 NUM ijassa-1301 196 17 . . PUNCT ijassa-1301 197 1 thus thus ADV ijassa-1301 197 2 , , PUNCT ijassa-1301 197 3 it it PRON ijassa-1301 197 4 is be AUX ijassa-1301 197 5 proved prove VERB ijassa-1301 197 6 that that SCONJ ijassa-1301 197 7 for for ADP ijassa-1301 197 8 all all PRON ijassa-1301 197 9 𝛾 𝛾 ADP ijassa-1301 197 10 ≀ ≀ NUM ijassa-1301 197 11 πœ† πœ† DET ijassa-1301 197 12 function function NOUN ijassa-1301 197 13 𝑧 𝑧 X ijassa-1301 197 14 ( ( PUNCT ijassa-1301 197 15 . . PUNCT ijassa-1301 197 16 ) ) PUNCT ijassa-1301 197 17 also also ADV ijassa-1301 197 18 satisfies satisfy VERB ijassa-1301 197 19 an an DET ijassa-1301 197 20 inequality inequality NOUN ijassa-1301 197 21 similar similar ADJ ijassa-1301 197 22 to to ADP ijassa-1301 197 23 inequality inequality NOUN ijassa-1301 197 24 ( ( PUNCT ijassa-1301 197 25 3.14 3.14 NUM ijassa-1301 197 26 ) ) PUNCT ijassa-1301 197 27 . . PUNCT ijassa-1301 198 1 similarly similarly ADV ijassa-1301 198 2 , , PUNCT ijassa-1301 198 3 the the DET ijassa-1301 198 4 satisfiability satisfiability NOUN ijassa-1301 198 5 of of ADP ijassa-1301 198 6 all all DET ijassa-1301 198 7 other other ADJ ijassa-1301 198 8 inequalities inequality NOUN ijassa-1301 198 9 is be AUX ijassa-1301 198 10 proved prove VERB ijassa-1301 198 11 . . PUNCT ijassa-1301 199 1 β–‘ β–‘ PUNCT ijassa-1301 199 2 we we PRON ijassa-1301 199 3 formulate formulate VERB ijassa-1301 199 4 a a DET ijassa-1301 199 5 similar similar ADJ ijassa-1301 199 6 lemma lemma NOUN ijassa-1301 199 7 for for ADP ijassa-1301 199 8 the the DET ijassa-1301 199 9 zero zero NUM ijassa-1301 199 10 component component NOUN ijassa-1301 199 11 of of ADP ijassa-1301 199 12 the the DET ijassa-1301 199 13 solution solution NOUN ijassa-1301 199 14 of of ADP ijassa-1301 199 15 system system NOUN ijassa-1301 199 16 ( ( PUNCT ijassa-1301 199 17 2.12)(2.14 2.12)(2.14 NUM ijassa-1301 199 18 ) ) PUNCT ijassa-1301 199 19 . . PUNCT ijassa-1301 200 1 lemma lemma PROPN ijassa-1301 200 2 3.2 3.2 NUM ijassa-1301 200 3 : : PUNCT ijassa-1301 200 4 for for ADP ijassa-1301 200 5 all all DET ijassa-1301 200 6 values value NOUN ijassa-1301 200 7 of of ADP ijassa-1301 200 8 parameters parameter NOUN ijassa-1301 200 9 π‘Ž π‘Ž X ijassa-1301 200 10 > > X ijassa-1301 200 11 0 0 NUM ijassa-1301 200 12 , , PUNCT ijassa-1301 200 13 𝛾 𝛾 VERB ijassa-1301 200 14 > > X ijassa-1301 200 15 0 0 NUM ijassa-1301 201 1 and and CCONJ ijassa-1301 201 2 πœ‡ πœ‡ X ijassa-1301 201 3 , , PUNCT ijassa-1301 201 4 𝛾 𝛾 VERB ijassa-1301 201 5 ≀ ≀ NUM ijassa-1301 201 6 πœ‡ πœ‡ ADP ijassa-1301 201 7 ≀ ≀ NUM ijassa-1301 201 8 1 1 NUM ijassa-1301 201 9 there there ADV ijassa-1301 201 10 exists exist VERB ijassa-1301 201 11 πœ†(πœ‡ πœ†(πœ‡ PROPN ijassa-1301 201 12 , , PUNCT ijassa-1301 201 13 𝑧 𝑧 X ijassa-1301 201 14 ( ( PUNCT ijassa-1301 201 15 𝑑 𝑑 PROPN ijassa-1301 201 16 ) ) PUNCT ijassa-1301 201 17 , , PUNCT ijassa-1301 202 1 𝑧 𝑧 PROPN ijassa-1301 202 2 ( ( PUNCT ijassa-1301 202 3 𝑑 𝑑 PROPN ijassa-1301 202 4 ) ) PUNCT ijassa-1301 202 5 , , PUNCT ijassa-1301 202 6 . . PUNCT ijassa-1301 202 7 . . PUNCT ijassa-1301 203 1 . . PUNCT ijassa-1301 203 2 , , PUNCT ijassa-1301 204 1 𝑧 𝑧 PROPN ijassa-1301 204 2 ( ( PUNCT ijassa-1301 204 3 𝑑 𝑑 PROPN ijassa-1301 204 4 ) ) PUNCT ijassa-1301 204 5 ) ) PUNCT ijassa-1301 204 6 , , PUNCT ijassa-1301 204 7 πœ‡ πœ‡ ADP ijassa-1301 204 8 ≀ ≀ NUM ijassa-1301 204 9 πœ† πœ† DET ijassa-1301 204 10 ≀ ≀ NUM ijassa-1301 204 11 1 1 NUM ijassa-1301 204 12 such such ADJ ijassa-1301 204 13 that that PRON ijassa-1301 204 14 for for ADP ijassa-1301 204 15 any any DET ijassa-1301 204 16 the the DET ijassa-1301 204 17 value value NOUN ijassa-1301 204 18 of of ADP ijassa-1301 204 19 the the DET ijassa-1301 204 20 parameter parameter NOUN ijassa-1301 204 21 πœ† πœ† ADP ijassa-1301 204 22 from from ADP ijassa-1301 204 23 the the DET ijassa-1301 204 24 segment segment NOUN ijassa-1301 204 25 [ [ X ijassa-1301 204 26 πœ‡ πœ‡ X ijassa-1301 204 27 , , PUNCT ijassa-1301 204 28 πœ† πœ† X ijassa-1301 204 29 ] ] X ijassa-1301 204 30 the the DET ijassa-1301 204 31 zero zero NUM ijassa-1301 204 32 component component NOUN ijassa-1301 204 33 𝑧 𝑧 X ijassa-1301 204 34 ( ( PUNCT ijassa-1301 204 35 . . PUNCT ijassa-1301 204 36 ) ) PUNCT ijassa-1301 204 37 of of ADP ijassa-1301 204 38 an an DET ijassa-1301 204 39 arbitrary arbitrary ADJ ijassa-1301 204 40 solution solution NOUN ijassa-1301 204 41 of of ADP ijassa-1301 204 42 the the DET ijassa-1301 204 43 system system NOUN ijassa-1301 204 44 ( ( PUNCT ijassa-1301 204 45 2.12)-(2.14 2.12)-(2.14 NUM ijassa-1301 204 46 ) ) PUNCT ijassa-1301 204 47 satisfying satisfy VERB ijassa-1301 204 48 the the DET ijassa-1301 204 49 constraint constraint NOUN ijassa-1301 204 50 ( ( PUNCT ijassa-1301 204 51 2.15 2.15 NUM ijassa-1301 204 52 ) ) PUNCT ijassa-1301 204 53 at at ADP ijassa-1301 204 54 the the DET ijassa-1301 204 55 initial initial ADJ ijassa-1301 204 56 moment moment NOUN ijassa-1301 204 57 of of ADP ijassa-1301 204 58 time time NOUN ijassa-1301 204 59 , , PUNCT ijassa-1301 204 60 satisfies satisfy VERB ijassa-1301 204 61 it it PRON ijassa-1301 204 62 at at ADP ijassa-1301 204 63 subsequent subsequent ADJ ijassa-1301 204 64 moments moment NOUN ijassa-1301 204 65 of of ADP ijassa-1301 204 66 time time NOUN ijassa-1301 204 67 . . PUNCT ijassa-1301 205 1 bifurcation bifurcation NOUN ijassa-1301 205 2 in in ADP ijassa-1301 205 3 the the DET ijassa-1301 205 4 model model NOUN ijassa-1301 205 5 of of ADP ijassa-1301 205 6 cargo cargo NOUN ijassa-1301 205 7 transportation transportation NOUN ijassa-1301 205 8 organization organization NOUN ijassa-1301 205 9 85 85 NUM ijassa-1301 205 10 copyright copyright NOUN ijassa-1301 205 11 Β© Β© PROPN ijassa-1301 205 12 0000 0000 NUM ijassa-1301 205 13 assa assa NOUN ijassa-1301 205 14 . . PUNCT ijassa-1301 206 1 adv adv PROPN ijassa-1301 206 2 . . PUNCT ijassa-1301 207 1 in in ADP ijassa-1301 207 2 systems system NOUN ijassa-1301 207 3 science science NOUN ijassa-1301 207 4 and and CCONJ ijassa-1301 207 5 appl appl NOUN ijassa-1301 207 6 . . PUNCT ijassa-1301 208 1 ( ( PUNCT ijassa-1301 208 2 0000 0000 NUM ijassa-1301 208 3 ) ) PUNCT ijassa-1301 208 4 proof proof NOUN ijassa-1301 208 5 . . PUNCT ijassa-1301 209 1 as as ADP ijassa-1301 209 2 for for ADP ijassa-1301 209 3 the the DET ijassa-1301 209 4 other other ADJ ijassa-1301 209 5 components component NOUN ijassa-1301 209 6 , , PUNCT ijassa-1301 209 7 we we PRON ijassa-1301 209 8 show show VERB ijassa-1301 209 9 that that SCONJ ijassa-1301 209 10 the the DET ijassa-1301 209 11 function function NOUN ijassa-1301 209 12 𝑧 𝑧 X ijassa-1301 209 13 ( ( PUNCT ijassa-1301 209 14 . . PUNCT ijassa-1301 209 15 ) ) PUNCT ijassa-1301 209 16 can can AUX ijassa-1301 209 17 not not PART ijassa-1301 209 18 take take VERB ijassa-1301 209 19 a a DET ijassa-1301 209 20 value value NOUN ijassa-1301 209 21 greater great ADJ ijassa-1301 209 22 than than ADP ijassa-1301 209 23 1 1 NUM ijassa-1301 209 24 . . PUNCT ijassa-1301 210 1 indeed indeed ADV ijassa-1301 210 2 , , PUNCT ijassa-1301 210 3 otherwise otherwise ADV ijassa-1301 210 4 , , PUNCT ijassa-1301 210 5 due due ADP ijassa-1301 210 6 to to ADP ijassa-1301 210 7 the the DET ijassa-1301 210 8 continuity continuity NOUN ijassa-1301 210 9 of of ADP ijassa-1301 210 10 the the DET ijassa-1301 210 11 function function NOUN ijassa-1301 210 12 𝑧 𝑧 X ijassa-1301 210 13 ( ( PUNCT ijassa-1301 210 14 . . PUNCT ijassa-1301 210 15 ) ) PUNCT ijassa-1301 211 1 there there PRON ijassa-1301 211 2 must must AUX ijassa-1301 211 3 be be AUX ijassa-1301 211 4 a a DET ijassa-1301 211 5 point point NOUN ijassa-1301 211 6 π‘‘βˆ—βˆ— π‘‘βˆ—βˆ— X ijassa-1301 211 7 > > PUNCT ijassa-1301 211 8 𝑑 𝑑 PROPN ijassa-1301 211 9 , , PUNCT ijassa-1301 211 10 such such ADJ ijassa-1301 211 11 that that SCONJ ijassa-1301 211 12 𝑧 𝑧 PROPN ijassa-1301 211 13 ( ( PUNCT ijassa-1301 211 14 π‘‘βˆ—βˆ— π‘‘βˆ—βˆ— NOUN ijassa-1301 211 15 ) ) PUNCT ijassa-1301 211 16 = = SYM ijassa-1301 212 1 1 1 X ijassa-1301 212 2 . . PUNCT ijassa-1301 212 3 then then ADV ijassa-1301 212 4 it it PRON ijassa-1301 212 5 follows follow VERB ijassa-1301 212 6 from from ADP ijassa-1301 212 7 ( ( PUNCT ijassa-1301 212 8 2.12 2.12 NUM ijassa-1301 212 9 ) ) PUNCT ijassa-1301 212 10 that that PRON ijassa-1301 212 11 οΏ½ οΏ½ AUX ijassa-1301 212 12 Μ‡ Μ‡ PROPN ijassa-1301 212 13 οΏ½ οΏ½ PROPN ijassa-1301 212 14 ( ( PUNCT ijassa-1301 212 15 π‘‘βˆ—βˆ— π‘‘βˆ—βˆ— X ijassa-1301 212 16 ) ) PUNCT ijassa-1301 212 17 = = SYM ijassa-1301 212 18 πœ†π‘Ž(𝑧 πœ†π‘Ž(𝑧 X ijassa-1301 212 19 ( ( PUNCT ijassa-1301 212 20 π‘‘βˆ—βˆ— π‘‘βˆ—βˆ— X ijassa-1301 212 21 ) ) PUNCT ijassa-1301 212 22 βˆ’ βˆ’ ADP ijassa-1301 212 23 1 1 NUM ijassa-1301 212 24 ) ) PUNCT ijassa-1301 212 25 , , PUNCT ijassa-1301 212 26 that that ADV ijassa-1301 212 27 is is ADV ijassa-1301 212 28 , , PUNCT ijassa-1301 212 29 according accord VERB ijassa-1301 212 30 to to ADP ijassa-1301 212 31 lemma lemma PROPN ijassa-1301 212 32 1 1 NUM ijassa-1301 212 33 , , PUNCT ijassa-1301 212 34 οΏ½ οΏ½ PROPN ijassa-1301 212 35 Μ‡ Μ‡ PROPN ijassa-1301 212 36 οΏ½ οΏ½ PROPN ijassa-1301 212 37 ( ( PUNCT ijassa-1301 212 38 π‘‘βˆ—βˆ— π‘‘βˆ—βˆ— NOUN ijassa-1301 212 39 ) ) PUNCT ijassa-1301 212 40 ≀ ≀ NOUN ijassa-1301 212 41 0 0 NUM ijassa-1301 212 42 . . PUNCT ijassa-1301 213 1 let let VERB ijassa-1301 213 2 's us PRON ijassa-1301 213 3 move move VERB ijassa-1301 213 4 on on ADP ijassa-1301 213 5 to to ADP ijassa-1301 213 6 evaluating evaluate VERB ijassa-1301 213 7 the the DET ijassa-1301 213 8 function function NOUN ijassa-1301 213 9 𝑧 𝑧 X ijassa-1301 213 10 ( ( PUNCT ijassa-1301 213 11 . . PUNCT ijassa-1301 213 12 ) ) PUNCT ijassa-1301 213 13 from from ADP ijassa-1301 213 14 below below ADP ijassa-1301 213 15 . . PUNCT ijassa-1301 214 1 to to PART ijassa-1301 214 2 do do VERB ijassa-1301 214 3 this this PRON ijassa-1301 214 4 , , PUNCT ijassa-1301 214 5 we we PRON ijassa-1301 214 6 investigate investigate VERB ijassa-1301 214 7 the the DET ijassa-1301 214 8 behavior behavior NOUN ijassa-1301 214 9 of of ADP ijassa-1301 214 10 its its PRON ijassa-1301 214 11 derivative derivative NOUN ijassa-1301 214 12 at at ADP ijassa-1301 214 13 𝑧 𝑧 PROPN ijassa-1301 214 14 ( ( PUNCT ijassa-1301 214 15 . . PUNCT ijassa-1301 214 16 ) ) PUNCT ijassa-1301 215 1 β†’ β†’ SYM ijassa-1301 215 2 0 0 NUM ijassa-1301 216 1 + + NOUN ijassa-1301 216 2 . . PUNCT ijassa-1301 217 1 according accord VERB ijassa-1301 217 2 to to ADP ijassa-1301 217 3 ( ( PUNCT ijassa-1301 217 4 2.12 2.12 NUM ijassa-1301 217 5 ) ) PUNCT ijassa-1301 217 6 , , PUNCT ijassa-1301 217 7 it it PRON ijassa-1301 217 8 is be AUX ijassa-1301 217 9 described describe VERB ijassa-1301 217 10 by by ADP ijassa-1301 217 11 the the DET ijassa-1301 217 12 equation equation NOUN ijassa-1301 217 13 οΏ½ οΏ½ PROPN ijassa-1301 217 14 Μ‡ Μ‡ PROPN ijassa-1301 217 15 οΏ½ οΏ½ PROPN ijassa-1301 217 16 ( ( PUNCT ijassa-1301 217 17 𝑑 𝑑 NOUN ijassa-1301 217 18 ) ) PUNCT ijassa-1301 217 19 = = VERB ijassa-1301 218 1 π‘Ž(πœ‡ π‘Ž(πœ‡ PROPN ijassa-1301 218 2 βˆ’ βˆ’ PROPN ijassa-1301 219 1 πœ†(1 πœ†(1 NOUN ijassa-1301 219 2 βˆ’ βˆ’ PROPN ijassa-1301 219 3 𝑧 𝑧 PROPN ijassa-1301 219 4 ( ( PUNCT ijassa-1301 219 5 𝑑 𝑑 NOUN ijassa-1301 219 6 ) ) PUNCT ijassa-1301 219 7 ) ) PUNCT ijassa-1301 219 8 ) ) PUNCT ijassa-1301 219 9 . . PUNCT ijassa-1301 220 1 let let VERB ijassa-1301 220 2 's us PRON ijassa-1301 220 3 investigate investigate VERB ijassa-1301 220 4 the the DET ijassa-1301 220 5 inequality inequality NOUN ijassa-1301 220 6 πœ‡ πœ‡ ADP ijassa-1301 220 7 βˆ’ βˆ’ PROPN ijassa-1301 221 1 πœ†(1 πœ†(1 PROPN ijassa-1301 221 2 βˆ’ βˆ’ PROPN ijassa-1301 221 3 𝑧 𝑧 PROPN ijassa-1301 221 4 ( ( PUNCT ijassa-1301 221 5 𝑑 𝑑 NOUN ijassa-1301 221 6 ) ) PUNCT ijassa-1301 221 7 ) ) PUNCT ijassa-1301 221 8 β‰₯ β‰₯ NOUN ijassa-1301 221 9 0 0 NUM ijassa-1301 221 10 . . PUNCT ijassa-1301 222 1 let let VERB ijassa-1301 222 2 's us PRON ijassa-1301 222 3 rewrite rewrite VERB ijassa-1301 222 4 it it PRON ijassa-1301 222 5 in in ADP ijassa-1301 222 6 the the DET ijassa-1301 222 7 form form NOUN ijassa-1301 222 8 𝑧 𝑧 PROPN ijassa-1301 222 9 ( ( PUNCT ijassa-1301 222 10 𝑑 𝑑 NOUN ijassa-1301 222 11 ) ) PUNCT ijassa-1301 222 12 β‰₯ β‰₯ NOUN ijassa-1301 222 13 1 1 NUM ijassa-1301 222 14 βˆ’ βˆ’ NOUN ijassa-1301 222 15 . . PUNCT ijassa-1301 223 1 ( ( PUNCT ijassa-1301 223 2 3.15 3.15 NUM ijassa-1301 223 3 ) ) PUNCT ijassa-1301 223 4 according accord VERB ijassa-1301 223 5 to to ADP ijassa-1301 223 6 lemma lemma PROPN ijassa-1301 223 7 1 1 NUM ijassa-1301 223 8 , , PUNCT ijassa-1301 223 9 for for ADP ijassa-1301 223 10 arbitrary arbitrary ADJ ijassa-1301 223 11 𝛾 𝛾 ADP ijassa-1301 223 12 > > X ijassa-1301 223 13 0 0 NUM ijassa-1301 223 14 , , PUNCT ijassa-1301 223 15 πœ† πœ† PRON ijassa-1301 223 16 satisfying satisfy VERB ijassa-1301 223 17 the the DET ijassa-1301 223 18 condition condition NOUN ijassa-1301 223 19 𝛾 𝛾 ADP ijassa-1301 223 20 ≀ ≀ NUM ijassa-1301 223 21 πœ† πœ† DET ijassa-1301 223 22 ≀ ≀ NUM ijassa-1301 223 23 1 1 NUM ijassa-1301 223 24 there there PRON ijassa-1301 223 25 is be VERB ijassa-1301 223 26 an an DET ijassa-1301 223 27 inequality inequality NOUN ijassa-1301 223 28 0 0 NUM ijassa-1301 223 29 ≀ ≀ NOUN ijassa-1301 223 30 𝑧 𝑧 PRON ijassa-1301 223 31 ( ( PUNCT ijassa-1301 223 32 𝑑 𝑑 NOUN ijassa-1301 223 33 ) ) PUNCT ijassa-1301 223 34 ≀ ≀ NUM ijassa-1301 223 35 1 1 NUM ijassa-1301 223 36 , , PUNCT ijassa-1301 223 37 𝑑 𝑑 PROPN ijassa-1301 223 38 ∈ ∈ PROPN ijassa-1301 224 1 [ [ X ijassa-1301 224 2 𝑑 𝑑 X ijassa-1301 224 3 , , PUNCT ijassa-1301 224 4 + + NOUN ijassa-1301 224 5 ∞ ∞ NOUN ijassa-1301 224 6 ) ) PUNCT ijassa-1301 224 7 . . PUNCT ijassa-1301 225 1 ( ( PUNCT ijassa-1301 225 2 3.16 3.16 NUM ijassa-1301 225 3 ) ) PUNCT ijassa-1301 225 4 it it PRON ijassa-1301 225 5 follows follow VERB ijassa-1301 225 6 from from ADP ijassa-1301 225 7 ( ( PUNCT ijassa-1301 225 8 3.16 3.16 NUM ijassa-1301 225 9 ) ) PUNCT ijassa-1301 225 10 that that SCONJ ijassa-1301 225 11 an an DET ijassa-1301 225 12 arbitrary arbitrary ADJ ijassa-1301 225 13 ΞΌ ΞΌ NOUN ijassa-1301 225 14 satisfying satisfy VERB ijassa-1301 225 15 the the DET ijassa-1301 225 16 condition condition NOUN ijassa-1301 225 17 𝛾 𝛾 VERB ijassa-1301 225 18 ≀ ≀ NUM ijassa-1301 225 19 πœ‡ πœ‡ ADP ijassa-1301 225 20 ≀ ≀ NUM ijassa-1301 225 21 1 1 NUM ijassa-1301 225 22 exists exist VERB ijassa-1301 225 23 πœ† πœ† NOUN ijassa-1301 225 24 , , PUNCT ijassa-1301 225 25 πœ‡ πœ‡ ADP ijassa-1301 225 26 ≀ ≀ NUM ijassa-1301 225 27 πœ† πœ† DET ijassa-1301 225 28 ≀ ≀ NUM ijassa-1301 225 29 1 1 NUM ijassa-1301 225 30 such such ADJ ijassa-1301 225 31 that that PRON ijassa-1301 225 32 for for ADP ijassa-1301 225 33 any any DET ijassa-1301 225 34 value value NOUN ijassa-1301 225 35 of of ADP ijassa-1301 225 36 the the DET ijassa-1301 225 37 parameter parameter NOUN ijassa-1301 225 38 πœ† πœ† ADP ijassa-1301 225 39 from from ADP ijassa-1301 225 40 the the DET ijassa-1301 225 41 segment segment NOUN ijassa-1301 225 42 [ [ X ijassa-1301 225 43 πœ‡ πœ‡ ADP ijassa-1301 225 44 , , PUNCT ijassa-1301 225 45 πœ† πœ† NOUN ijassa-1301 225 46 ] ] X ijassa-1301 225 47 inequality inequality NOUN ijassa-1301 225 48 ( ( PUNCT ijassa-1301 225 49 3.15 3.15 NUM ijassa-1301 225 50 ) ) PUNCT ijassa-1301 225 51 will will AUX ijassa-1301 225 52 hold hold VERB ijassa-1301 225 53 for for ADP ijassa-1301 225 54 all all DET ijassa-1301 225 55 𝑑 𝑑 ADP ijassa-1301 225 56 ∈ ∈ PROPN ijassa-1301 226 1 [ [ X ijassa-1301 226 2 𝑑 𝑑 X ijassa-1301 226 3 , , PUNCT ijassa-1301 226 4 + + NOUN ijassa-1301 226 5 ∞ ∞ NOUN ijassa-1301 226 6 ) ) PUNCT ijassa-1301 226 7 , , PUNCT ijassa-1301 226 8 i.e. i.e. X ijassa-1301 226 9 οΏ½ οΏ½ PROPN ijassa-1301 226 10 Μ‡ Μ‡ PROPN ijassa-1301 226 11 οΏ½ οΏ½ PROPN ijassa-1301 226 12 ( ( PUNCT ijassa-1301 226 13 𝑑 𝑑 PROPN ijassa-1301 226 14 ) ) PUNCT ijassa-1301 226 15 β‰₯ β‰₯ NOUN ijassa-1301 226 16 0 0 NUM ijassa-1301 226 17 for for ADP ijassa-1301 226 18 𝑧 𝑧 PROPN ijassa-1301 226 19 ( ( PUNCT ijassa-1301 226 20 𝑑 𝑑 NOUN ijassa-1301 226 21 ) ) PUNCT ijassa-1301 226 22 β†’ β†’ SYM ijassa-1301 226 23 0 0 NUM ijassa-1301 227 1 + + ADJ ijassa-1301 227 2 , , PUNCT ijassa-1301 227 3 which which PRON ijassa-1301 227 4 shows show VERB ijassa-1301 227 5 that that SCONJ ijassa-1301 227 6 the the DET ijassa-1301 227 7 function function NOUN ijassa-1301 227 8 𝑧 𝑧 X ijassa-1301 227 9 ( ( PUNCT ijassa-1301 227 10 . . PUNCT ijassa-1301 227 11 ) ) PUNCT ijassa-1301 227 12 is be AUX ijassa-1301 227 13 limited limit VERB ijassa-1301 227 14 from from ADP ijassa-1301 227 15 below below ADP ijassa-1301 227 16 by by ADP ijassa-1301 227 17 the the DET ijassa-1301 227 18 value value NOUN ijassa-1301 227 19 0 0 NUM ijassa-1301 227 20 . . PUNCT ijassa-1301 228 1 obviously obviously ADV ijassa-1301 228 2 πœ† πœ† ADV ijassa-1301 228 3 depends depend VERB ijassa-1301 228 4 on on ADP ijassa-1301 228 5 both both PRON ijassa-1301 228 6 πœ‡ πœ‡ ADP ijassa-1301 228 7 , , PUNCT ijassa-1301 228 8 and and CCONJ ijassa-1301 228 9 initial initial ADJ ijassa-1301 228 10 conditions condition NOUN ijassa-1301 228 11 , , PUNCT ijassa-1301 228 12 so so SCONJ ijassa-1301 228 13 we we PRON ijassa-1301 228 14 denote denote VERB ijassa-1301 228 15 it it PRON ijassa-1301 228 16 πœ†(πœ‡ πœ†(πœ‡ X ijassa-1301 228 17 , , PUNCT ijassa-1301 228 18 𝑧 𝑧 X ijassa-1301 228 19 ( ( PUNCT ijassa-1301 228 20 𝑑 𝑑 PROPN ijassa-1301 228 21 ) ) PUNCT ijassa-1301 228 22 , , PUNCT ijassa-1301 228 23 𝑧 𝑧 PROPN ijassa-1301 228 24 ( ( PUNCT ijassa-1301 228 25 𝑑 𝑑 PROPN ijassa-1301 228 26 ) ) PUNCT ijassa-1301 228 27 , , PUNCT ijassa-1301 228 28 . . PUNCT ijassa-1301 228 29 . . PUNCT ijassa-1301 229 1 . . PUNCT ijassa-1301 229 2 , , PUNCT ijassa-1301 230 1 𝑧 𝑧 PROPN ijassa-1301 230 2 ( ( PUNCT ijassa-1301 230 3 𝑑 𝑑 NOUN ijassa-1301 230 4 ) ) PUNCT ijassa-1301 230 5 ) ) PUNCT ijassa-1301 230 6 . . PUNCT ijassa-1301 231 1 β–‘ β–‘ PUNCT ijassa-1301 231 2 we we PRON ijassa-1301 231 3 formulate formulate VERB ijassa-1301 231 4 the the DET ijassa-1301 231 5 main main ADJ ijassa-1301 231 6 result result NOUN ijassa-1301 231 7 of of ADP ijassa-1301 231 8 this this DET ijassa-1301 231 9 paragraph paragraph NOUN ijassa-1301 231 10 . . PUNCT ijassa-1301 232 1 theorem theorem VERB ijassa-1301 232 2 3.2 3.2 NUM ijassa-1301 232 3 : : PUNCT ijassa-1301 232 4 for for ADP ijassa-1301 232 5 any any DET ijassa-1301 232 6 initial initial ADJ ijassa-1301 232 7 values value NOUN ijassa-1301 232 8 0 0 NUM ijassa-1301 232 9 ≀ ≀ NUM ijassa-1301 232 10 𝑧 𝑧 PRON ijassa-1301 232 11 ( ( PUNCT ijassa-1301 232 12 𝑑 𝑑 PROPN ijassa-1301 232 13 ) ) PUNCT ijassa-1301 232 14 ≀ ≀ NUM ijassa-1301 232 15 1 1 NUM ijassa-1301 232 16 , , PUNCT ijassa-1301 232 17 𝑖 𝑖 NOUN ijassa-1301 232 18 = = SYM ijassa-1301 232 19 0 0 NUM ijassa-1301 232 20 , , PUNCT ijassa-1301 232 21 1 1 NUM ijassa-1301 232 22 , , PUNCT ijassa-1301 232 23 . . PUNCT ijassa-1301 232 24 . . PUNCT ijassa-1301 233 1 . . PUNCT ijassa-1301 234 1 , , PUNCT ijassa-1301 235 1 π‘š π‘š X ijassa-1301 235 2 + + ADJ ijassa-1301 235 3 1 1 NUM ijassa-1301 235 4 , , PUNCT ijassa-1301 235 5 parameters parameter NOUN ijassa-1301 235 6 π‘Ž π‘Ž VERB ijassa-1301 235 7 > > X ijassa-1301 235 8 0 0 NUM ijassa-1301 235 9 , , PUNCT ijassa-1301 235 10 𝛾 𝛾 VERB ijassa-1301 235 11 > > X ijassa-1301 235 12 0 0 NUM ijassa-1301 235 13 and and CCONJ ijassa-1301 235 14 πœ‡ πœ‡ X ijassa-1301 235 15 , , PUNCT ijassa-1301 235 16 𝛾 𝛾 VERB ijassa-1301 235 17 ≀ ≀ NUM ijassa-1301 235 18 πœ‡ πœ‡ ADP ijassa-1301 235 19 ≀ ≀ NUM ijassa-1301 235 20 1 1 NUM ijassa-1301 235 21 there there ADV ijassa-1301 235 22 exists exist VERB ijassa-1301 235 23 πœ†(πœ‡ πœ†(πœ‡ PROPN ijassa-1301 235 24 , , PUNCT ijassa-1301 235 25 𝑧 𝑧 X ijassa-1301 235 26 ( ( PUNCT ijassa-1301 235 27 𝑑 𝑑 PROPN ijassa-1301 235 28 ) ) PUNCT ijassa-1301 235 29 , , PUNCT ijassa-1301 235 30 𝑧 𝑧 PROPN ijassa-1301 235 31 ( ( PUNCT ijassa-1301 235 32 𝑑 𝑑 PROPN ijassa-1301 235 33 ) ) PUNCT ijassa-1301 235 34 , , PUNCT ijassa-1301 235 35 . . PUNCT ijassa-1301 235 36 . . PUNCT ijassa-1301 236 1 . . PUNCT ijassa-1301 236 2 , , PUNCT ijassa-1301 237 1 𝑧 𝑧 PROPN ijassa-1301 237 2 ( ( PUNCT ijassa-1301 237 3 𝑑 𝑑 NOUN ijassa-1301 237 4 ) ) PUNCT ijassa-1301 237 5 ) ) PUNCT ijassa-1301 237 6 , , PUNCT ijassa-1301 237 7 πœ‡ πœ‡ ADP ijassa-1301 237 8 ≀ ≀ NUM ijassa-1301 237 9 πœ† πœ† DET ijassa-1301 237 10 ≀ ≀ NUM ijassa-1301 237 11 1 1 NUM ijassa-1301 237 12 such such ADJ ijassa-1301 237 13 that that PRON ijassa-1301 237 14 for for ADP ijassa-1301 237 15 any any DET ijassa-1301 237 16 value value NOUN ijassa-1301 237 17 of of ADP ijassa-1301 237 18 the the DET ijassa-1301 237 19 parameter parameter NOUN ijassa-1301 237 20 πœ† πœ† ADP ijassa-1301 237 21 from from ADP ijassa-1301 237 22 the the DET ijassa-1301 237 23 segment segment NOUN ijassa-1301 237 24 [ [ X ijassa-1301 237 25 πœ‡ πœ‡ X ijassa-1301 237 26 , , PUNCT ijassa-1301 237 27 πœ† πœ† X ijassa-1301 237 28 ] ] X ijassa-1301 237 29 the the DET ijassa-1301 237 30 solution solution NOUN ijassa-1301 237 31 of of ADP ijassa-1301 237 32 the the DET ijassa-1301 237 33 system system NOUN ijassa-1301 237 34 ( ( PUNCT ijassa-1301 237 35 2.12)(2.15 2.12)(2.15 NOUN ijassa-1301 237 36 ) ) PUNCT ijassa-1301 237 37 exists exist VERB ijassa-1301 237 38 and and CCONJ ijassa-1301 237 39 converges converge VERB ijassa-1301 237 40 to to ADP ijassa-1301 237 41 the the DET ijassa-1301 237 42 stationary stationary ADJ ijassa-1301 237 43 solution solution NOUN ijassa-1301 237 44 ( ( PUNCT ijassa-1301 237 45 3.1 3.1 NUM ijassa-1301 237 46 ) ) PUNCT ijassa-1301 237 47 ( ( PUNCT ijassa-1301 237 48 for for ADP ijassa-1301 237 49 𝛾 𝛾 NOUN ijassa-1301 237 50 < < X ijassa-1301 237 51 πœ‡ πœ‡ X ijassa-1301 237 52 ) ) PUNCT ijassa-1301 237 53 or or CCONJ ijassa-1301 237 54 to to ADP ijassa-1301 237 55 one one NUM ijassa-1301 237 56 of of ADP ijassa-1301 237 57 the the DET ijassa-1301 237 58 stationary stationary ADJ ijassa-1301 237 59 solutions solution NOUN ijassa-1301 237 60 ( ( PUNCT ijassa-1301 237 61 3.2 3.2 NUM ijassa-1301 237 62 ) ) PUNCT ijassa-1301 237 63 , , PUNCT ijassa-1301 237 64 the the DET ijassa-1301 237 65 same same ADJ ijassa-1301 237 66 for for ADP ijassa-1301 237 67 all all DET ijassa-1301 237 68 Ξ³ Ξ³ NOUN ijassa-1301 237 69 and and CCONJ ijassa-1301 237 70 a a PRON ijassa-1301 237 71 ( ( PUNCT ijassa-1301 237 72 for for ADP ijassa-1301 237 73 𝛾 𝛾 NOUN ijassa-1301 237 74 = = SYM ijassa-1301 237 75 πœ‡ πœ‡ NOUN ijassa-1301 237 76 ) ) PUNCT ijassa-1301 237 77 . . PUNCT ijassa-1301 238 1 proof proof NOUN ijassa-1301 238 2 . . PUNCT ijassa-1301 239 1 the the DET ijassa-1301 239 2 proof proof NOUN ijassa-1301 239 3 follows follow VERB ijassa-1301 239 4 directly directly ADV ijassa-1301 239 5 from from ADP ijassa-1301 239 6 theorem theorem ADJ ijassa-1301 239 7 1 1 NUM ijassa-1301 239 8 , , PUNCT ijassa-1301 239 9 lemma lemma PROPN ijassa-1301 239 10 1 1 NUM ijassa-1301 239 11 and and CCONJ ijassa-1301 239 12 lemma lemma PROPN ijassa-1301 239 13 2 2 NUM ijassa-1301 239 14 . . PUNCT ijassa-1301 240 1 β–‘ β–‘ PUNCT ijassa-1301 240 2 corollary corollary ADJ ijassa-1301 240 3 3.1 3.1 NUM ijassa-1301 240 4 : : PUNCT ijassa-1301 240 5 the the DET ijassa-1301 240 6 system system NOUN ijassa-1301 240 7 of of ADP ijassa-1301 240 8 differential differential ADJ ijassa-1301 240 9 equations equation NOUN ijassa-1301 240 10 ( ( PUNCT ijassa-1301 240 11 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 240 12 ) ) PUNCT ijassa-1301 240 13 has have VERB ijassa-1301 240 14 a a DET ijassa-1301 240 15 globally globally ADV ijassa-1301 240 16 stable stable ADJ ijassa-1301 240 17 stationary stationary ADJ ijassa-1301 240 18 solution solution NOUN ijassa-1301 240 19 ( ( PUNCT ijassa-1301 240 20 3.1 3.1 NUM ijassa-1301 240 21 ) ) PUNCT ijassa-1301 240 22 and and CCONJ ijassa-1301 240 23 a a DET ijassa-1301 240 24 family family NOUN ijassa-1301 240 25 of of ADP ijassa-1301 240 26 stable stable ADJ ijassa-1301 240 27 solutions solution NOUN ijassa-1301 240 28 of of ADP ijassa-1301 240 29 the the DET ijassa-1301 240 30 form form NOUN ijassa-1301 240 31 ( ( PUNCT ijassa-1301 240 32 3.2 3.2 NUM ijassa-1301 240 33 ) ) PUNCT ijassa-1301 240 34 . . PUNCT ijassa-1301 241 1 proof proof NOUN ijassa-1301 241 2 . . PUNCT ijassa-1301 242 1 the the DET ijassa-1301 242 2 proof proof NOUN ijassa-1301 242 3 follows follow VERB ijassa-1301 242 4 directly directly ADV ijassa-1301 242 5 from from ADP ijassa-1301 242 6 theorem theorem ADJ ijassa-1301 242 7 2 2 NUM ijassa-1301 242 8 . . PUNCT ijassa-1301 242 9 β–‘ β–‘ SYM ijassa-1301 242 10 4 4 NUM ijassa-1301 242 11 . . PUNCT ijassa-1301 242 12 examples example NOUN ijassa-1301 242 13 of of ADP ijassa-1301 242 14 solutions solution NOUN ijassa-1301 242 15 of of ADP ijassa-1301 242 16 the the DET ijassa-1301 242 17 system system NOUN ijassa-1301 242 18 ( ( PUNCT ijassa-1301 242 19 2.12)–(2.15 2.12)–(2.15 X ijassa-1301 242 20 ) ) PUNCT ijassa-1301 242 21 let let VERB ijassa-1301 242 22 's us PRON ijassa-1301 242 23 consider consider VERB ijassa-1301 242 24 some some DET ijassa-1301 242 25 examples example NOUN ijassa-1301 242 26 of of ADP ijassa-1301 242 27 solutions solution NOUN ijassa-1301 242 28 of of ADP ijassa-1301 242 29 the the DET ijassa-1301 242 30 system system NOUN ijassa-1301 242 31 ( ( PUNCT ijassa-1301 242 32 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 242 33 ) ) PUNCT ijassa-1301 242 34 that that PRON ijassa-1301 242 35 clearly clearly ADV ijassa-1301 242 36 demonstrate demonstrate VERB ijassa-1301 242 37 the the DET ijassa-1301 242 38 results result NOUN ijassa-1301 242 39 of of ADP ijassa-1301 242 40 the the DET ijassa-1301 242 41 previous previous ADJ ijassa-1301 242 42 paragraph paragraph NOUN ijassa-1301 242 43 . . PUNCT ijassa-1301 243 1 in in ADP ijassa-1301 243 2 all all DET ijassa-1301 243 3 the the DET ijassa-1301 243 4 examples example NOUN ijassa-1301 243 5 below below ADV ijassa-1301 243 6 , , PUNCT ijassa-1301 243 7 the the DET ijassa-1301 243 8 number number NOUN ijassa-1301 243 9 of of ADP ijassa-1301 243 10 stations station NOUN ijassa-1301 243 11 is be AUX ijassa-1301 243 12 10 10 NUM ijassa-1301 243 13 ( ( PUNCT ijassa-1301 243 14 the the DET ijassa-1301 243 15 initial initial ADJ ijassa-1301 243 16 node node ADJ ijassa-1301 243 17 station station NOUN ijassa-1301 243 18 , , PUNCT ijassa-1301 243 19 eight eight NUM ijassa-1301 243 20 intermediate intermediate ADJ ijassa-1301 243 21 stations station NOUN ijassa-1301 243 22 , , PUNCT ijassa-1301 243 23 the the DET ijassa-1301 243 24 final final ADJ ijassa-1301 243 25 node node NOUN ijassa-1301 243 26 station station NOUN ijassa-1301 243 27 ) ) PUNCT ijassa-1301 243 28 , , PUNCT ijassa-1301 243 29 the the DET ijassa-1301 243 30 values value NOUN ijassa-1301 243 31 of of ADP ijassa-1301 243 32 parameters parameter NOUN ijassa-1301 243 33 , , PUNCT ijassa-1301 243 34 πœ‡ πœ‡ ADP ijassa-1301 243 35 , , PUNCT ijassa-1301 243 36 π‘Ž π‘Ž NOUN ijassa-1301 243 37 and and CCONJ ijassa-1301 243 38 the the DET ijassa-1301 243 39 initial initial ADJ ijassa-1301 243 40 conditions condition NOUN ijassa-1301 243 41 are be AUX ijassa-1301 243 42 fixed fix VERB ijassa-1301 243 43 and and CCONJ ijassa-1301 243 44 take take VERB ijassa-1301 243 45 the the DET ijassa-1301 243 46 following follow VERB ijassa-1301 243 47 values value NOUN ijassa-1301 243 48 : : PUNCT ijassa-1301 243 49 πœ‡ πœ‡ X ijassa-1301 243 50 = = X ijassa-1301 243 51 0.6 0.6 NUM ijassa-1301 243 52 , , PUNCT ijassa-1301 243 53 π‘Ž π‘Ž NOUN ijassa-1301 243 54 = = SYM ijassa-1301 243 55 1.5 1.5 NUM ijassa-1301 243 56 ( ( PUNCT ijassa-1301 243 57 4.1 4.1 NUM ijassa-1301 243 58 ) ) PUNCT ijassa-1301 243 59 𝑧 𝑧 PROPN ijassa-1301 243 60 ( ( PUNCT ijassa-1301 243 61 𝑑 𝑑 X ijassa-1301 243 62 ) ) PUNCT ijassa-1301 243 63 = = SYM ijassa-1301 243 64 0.4 0.4 NUM ijassa-1301 243 65 , , PUNCT ijassa-1301 243 66 𝑧 𝑧 X ijassa-1301 243 67 ( ( PUNCT ijassa-1301 243 68 𝑑 𝑑 X ijassa-1301 243 69 ) ) PUNCT ijassa-1301 243 70 = = SYM ijassa-1301 243 71 0.2 0.2 NUM ijassa-1301 243 72 , , PUNCT ijassa-1301 243 73 𝑧 𝑧 PROPN ijassa-1301 243 74 ( ( PUNCT ijassa-1301 243 75 𝑑 𝑑 X ijassa-1301 243 76 ) ) PUNCT ijassa-1301 243 77 = = SYM ijassa-1301 243 78 0.1 0.1 NUM ijassa-1301 243 79 , , PUNCT ijassa-1301 243 80 𝑧 𝑧 X ijassa-1301 243 81 ( ( PUNCT ijassa-1301 243 82 𝑑 𝑑 X ijassa-1301 243 83 ) ) PUNCT ijassa-1301 243 84 = = SYM ijassa-1301 243 85 0.4 0.4 NUM ijassa-1301 243 86 , , PUNCT ijassa-1301 243 87 𝑧 𝑧 X ijassa-1301 243 88 ( ( PUNCT ijassa-1301 243 89 𝑑 𝑑 X ijassa-1301 243 90 ) ) PUNCT ijassa-1301 243 91 = = SYM ijassa-1301 243 92 0.7 0.7 NUM ijassa-1301 243 93 , , PUNCT ijassa-1301 243 94 𝑧 𝑧 X ijassa-1301 243 95 ( ( PUNCT ijassa-1301 243 96 𝑑 𝑑 X ijassa-1301 243 97 ) ) PUNCT ijassa-1301 243 98 = = SYM ijassa-1301 243 99 0.1 0.1 NUM ijassa-1301 243 100 , , PUNCT ijassa-1301 243 101 𝑧 𝑧 X ijassa-1301 243 102 ( ( PUNCT ijassa-1301 243 103 𝑑 𝑑 X ijassa-1301 243 104 ) ) PUNCT ijassa-1301 243 105 = = SYM ijassa-1301 243 106 0.2 0.2 NUM ijassa-1301 243 107 , , PUNCT ijassa-1301 243 108 𝑧 𝑧 PROPN ijassa-1301 243 109 ( ( PUNCT ijassa-1301 243 110 𝑑 𝑑 X ijassa-1301 243 111 ) ) PUNCT ijassa-1301 243 112 = = SYM ijassa-1301 243 113 0.3 0.3 NUM ijassa-1301 243 114 , , PUNCT ijassa-1301 243 115 𝑧 𝑧 PROPN ijassa-1301 243 116 ( ( PUNCT ijassa-1301 243 117 𝑑 𝑑 X ijassa-1301 243 118 ) ) PUNCT ijassa-1301 243 119 = = SYM ijassa-1301 243 120 0.5 0.5 NUM ijassa-1301 243 121 , , PUNCT ijassa-1301 243 122 𝑧 𝑧 X ijassa-1301 243 123 ( ( PUNCT ijassa-1301 243 124 𝑑 𝑑 X ijassa-1301 243 125 ) ) PUNCT ijassa-1301 243 126 = = SYM ijassa-1301 243 127 0.3 0.3 NUM ijassa-1301 243 128 . . PUNCT ijassa-1301 244 1 ( ( PUNCT ijassa-1301 244 2 4.2 4.2 NUM ijassa-1301 244 3 ) ) PUNCT ijassa-1301 244 4 86 86 NUM ijassa-1301 244 5 n.k n.k PROPN ijassa-1301 244 6 . . PROPN ijassa-1301 244 7 khachatryan khachatryan PROPN ijassa-1301 244 8 copyright copyright NOUN ijassa-1301 245 1 Β© Β© PROPN ijassa-1301 245 2 0000 0000 NUM ijassa-1301 245 3 assa assa PROPN ijassa-1301 245 4 adv adv PROPN ijassa-1301 245 5 . . PUNCT ijassa-1301 246 1 in in ADP ijassa-1301 246 2 systems system NOUN ijassa-1301 246 3 science science NOUN ijassa-1301 246 4 and and CCONJ ijassa-1301 246 5 appl appl NOUN ijassa-1301 246 6 . . PUNCT ijassa-1301 247 1 ( ( PUNCT ijassa-1301 247 2 0000 0000 NUM ijassa-1301 247 3 ) ) PUNCT ijassa-1301 247 4 according accord VERB ijassa-1301 247 5 to to ADP ijassa-1301 247 6 theorem theorem ADJ ijassa-1301 247 7 3.2 3.2 NUM ijassa-1301 247 8 , , PUNCT ijassa-1301 247 9 for for ADP ijassa-1301 247 10 any any DET ijassa-1301 247 11 initial initial ADJ ijassa-1301 247 12 values value NOUN ijassa-1301 247 13 satisfying satisfy VERB ijassa-1301 247 14 condition condition NOUN ijassa-1301 247 15 ( ( PUNCT ijassa-1301 247 16 2.15 2.15 NUM ijassa-1301 247 17 ) ) PUNCT ijassa-1301 247 18 , , PUNCT ijassa-1301 247 19 parameters parameter NOUN ijassa-1301 247 20 π‘Ž π‘Ž X ijassa-1301 247 21 > > X ijassa-1301 247 22 0 0 NUM ijassa-1301 247 23 , , PUNCT ijassa-1301 247 24 𝛾 𝛾 VERB ijassa-1301 247 25 > > X ijassa-1301 247 26 0 0 NUM ijassa-1301 247 27 and and CCONJ ijassa-1301 247 28 πœ‡ πœ‡ X ijassa-1301 247 29 , , PUNCT ijassa-1301 247 30 𝛾 𝛾 VERB ijassa-1301 247 31 ≀ ≀ NUM ijassa-1301 247 32 πœ‡ πœ‡ ADP ijassa-1301 247 33 ≀ ≀ NUM ijassa-1301 247 34 1 1 NUM ijassa-1301 247 35 there there ADV ijassa-1301 247 36 exists exist VERB ijassa-1301 247 37 πœ† πœ† X ijassa-1301 247 38 ( ( PUNCT ijassa-1301 247 39 πœ‡ πœ‡ ADP ijassa-1301 247 40 ≀ ≀ NUM ijassa-1301 247 41 πœ† πœ† DET ijassa-1301 247 42 ≀ ≀ NUM ijassa-1301 247 43 1 1 NUM ijassa-1301 247 44 ) ) PUNCT ijassa-1301 247 45 depending depend VERB ijassa-1301 247 46 on on ADP ijassa-1301 247 47 the the DET ijassa-1301 247 48 initial initial ADJ ijassa-1301 247 49 conditions condition NOUN ijassa-1301 247 50 and and CCONJ ijassa-1301 247 51 the the DET ijassa-1301 247 52 parameter parameter NOUN ijassa-1301 247 53 πœ‡ πœ‡ ADP ijassa-1301 247 54 , , PUNCT ijassa-1301 247 55 such such ADJ ijassa-1301 247 56 that that SCONJ ijassa-1301 247 57 for for ADP ijassa-1301 247 58 all all PRON ijassa-1301 247 59 πœ† πœ† ADV ijassa-1301 247 60 from from ADP ijassa-1301 247 61 the the DET ijassa-1301 247 62 segment segment NOUN ijassa-1301 247 63 [ [ X ijassa-1301 247 64 πœ‡ πœ‡ X ijassa-1301 247 65 , , PUNCT ijassa-1301 247 66 πœ† πœ† X ijassa-1301 247 67 ] ] X ijassa-1301 247 68 the the DET ijassa-1301 247 69 solution solution NOUN ijassa-1301 247 70 of of ADP ijassa-1301 247 71 the the DET ijassa-1301 247 72 system system NOUN ijassa-1301 247 73 ( ( PUNCT ijassa-1301 247 74 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 247 75 ) ) PUNCT ijassa-1301 247 76 exists exist VERB ijassa-1301 247 77 . . PUNCT ijassa-1301 248 1 calculations calculation NOUN ijassa-1301 248 2 have have AUX ijassa-1301 248 3 shown show VERB ijassa-1301 248 4 that that SCONJ ijassa-1301 248 5 for for ADP ijassa-1301 248 6 the the DET ijassa-1301 248 7 above above ADJ ijassa-1301 248 8 initial initial ADJ ijassa-1301 248 9 conditions condition NOUN ijassa-1301 248 10 ( ( PUNCT ijassa-1301 248 11 4.2 4.2 NUM ijassa-1301 248 12 ) ) PUNCT ijassa-1301 248 13 and and CCONJ ijassa-1301 248 14 parameter parameter NOUN ijassa-1301 248 15 πœ‡ πœ‡ X ijassa-1301 248 16 ( ( PUNCT ijassa-1301 248 17 4.1 4.1 NUM ijassa-1301 248 18 ) ) PUNCT ijassa-1301 248 19 , , PUNCT ijassa-1301 248 20 πœ† πœ† NOUN ijassa-1301 248 21 takes take VERB ijassa-1301 248 22 the the DET ijassa-1301 248 23 value value NOUN ijassa-1301 248 24 equal equal ADJ ijassa-1301 248 25 to to ADP ijassa-1301 248 26 0.898 0.898 NUM ijassa-1301 248 27 ( ( PUNCT ijassa-1301 248 28 πœ† πœ† NOUN ijassa-1301 248 29 = = PUNCT ijassa-1301 248 30 0.898 0.898 NUM ijassa-1301 248 31 ) ) PUNCT ijassa-1301 248 32 . . PUNCT ijassa-1301 249 1 the the DET ijassa-1301 249 2 nature nature NOUN ijassa-1301 249 3 of of ADP ijassa-1301 249 4 the the DET ijassa-1301 249 5 solution solution NOUN ijassa-1301 249 6 of of ADP ijassa-1301 249 7 the the DET ijassa-1301 249 8 system system NOUN ijassa-1301 249 9 ( ( PUNCT ijassa-1301 249 10 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 249 11 ) ) PUNCT ijassa-1301 249 12 depends depend VERB ijassa-1301 249 13 on on ADP ijassa-1301 249 14 the the DET ijassa-1301 249 15 value value NOUN ijassa-1301 249 16 of of ADP ijassa-1301 249 17 the the DET ijassa-1301 249 18 parameter parameter NOUN ijassa-1301 249 19 𝛾. 𝛾. NOUN ijassa-1301 249 20 depending depend VERB ijassa-1301 249 21 on on ADP ijassa-1301 249 22 whether whether SCONJ ijassa-1301 249 23 it it PRON ijassa-1301 249 24 is be AUX ijassa-1301 249 25 less less ADJ ijassa-1301 249 26 than than ADP ijassa-1301 249 27 the the DET ijassa-1301 249 28 value value NOUN ijassa-1301 249 29 of of ADP ijassa-1301 249 30 the the DET ijassa-1301 249 31 parameter parameter NOUN ijassa-1301 249 32 πœ‡ πœ‡ ADP ijassa-1301 249 33 or or CCONJ ijassa-1301 249 34 equal equal ADJ ijassa-1301 249 35 to to ADP ijassa-1301 249 36 it it PRON ijassa-1301 249 37 , , PUNCT ijassa-1301 249 38 there there PRON ijassa-1301 249 39 are be VERB ijassa-1301 249 40 two two NUM ijassa-1301 249 41 types type NOUN ijassa-1301 249 42 of of ADP ijassa-1301 249 43 solutions solution NOUN ijassa-1301 249 44 of of ADP ijassa-1301 249 45 the the DET ijassa-1301 249 46 system system NOUN ijassa-1301 249 47 ( ( PUNCT ijassa-1301 249 48 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 249 49 ) ) PUNCT ijassa-1301 249 50 . . PUNCT ijassa-1301 250 1 let let VERB ijassa-1301 250 2 's us PRON ijassa-1301 250 3 start start VERB ijassa-1301 250 4 with with ADP ijassa-1301 250 5 the the DET ijassa-1301 250 6 first first ADJ ijassa-1301 250 7 case case NOUN ijassa-1301 250 8 ( ( PUNCT ijassa-1301 250 9 𝛾 𝛾 NOUN ijassa-1301 250 10 < < X ijassa-1301 250 11 πœ‡ πœ‡ X ijassa-1301 250 12 ) ) PUNCT ijassa-1301 250 13 . . PUNCT ijassa-1301 251 1 in in ADP ijassa-1301 251 2 fig fig NOUN ijassa-1301 251 3 . . PUNCT ijassa-1301 252 1 4.1 4.1 NUM ijassa-1301 252 2 , , PUNCT ijassa-1301 252 3 fig fig NOUN ijassa-1301 252 4 . . PUNCT ijassa-1301 253 1 4.2 4.2 NUM ijassa-1301 253 2 and and CCONJ ijassa-1301 253 3 fig fig NOUN ijassa-1301 253 4 . . PUNCT ijassa-1301 254 1 4.3 4.3 NUM ijassa-1301 254 2 . . PUNCT ijassa-1301 254 3 graphs graph NOUN ijassa-1301 254 4 of of ADP ijassa-1301 254 5 solutions solution NOUN ijassa-1301 254 6 of of ADP ijassa-1301 254 7 the the DET ijassa-1301 254 8 system system NOUN ijassa-1301 254 9 ( ( PUNCT ijassa-1301 254 10 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 254 11 ) ) PUNCT ijassa-1301 254 12 with with ADP ijassa-1301 254 13 a a DET ijassa-1301 254 14 fixed fix VERB ijassa-1301 254 15 value value NOUN ijassa-1301 254 16 of of ADP ijassa-1301 254 17 parameter parameter NOUN ijassa-1301 254 18 𝛾 𝛾 PROPN ijassa-1301 254 19 ( ( PUNCT ijassa-1301 254 20 𝛾 𝛾 NOUN ijassa-1301 254 21 = = SYM ijassa-1301 254 22 0.5 0.5 NUM ijassa-1301 254 23 ) ) PUNCT ijassa-1301 254 24 and and CCONJ ijassa-1301 254 25 three three NUM ijassa-1301 254 26 different different ADJ ijassa-1301 254 27 values value NOUN ijassa-1301 254 28 of of ADP ijassa-1301 254 29 parameter parameter PROPN ijassa-1301 254 30 πœ† πœ† NOUN ijassa-1301 254 31 are be AUX ijassa-1301 254 32 given give VERB ijassa-1301 254 33 : : PUNCT ijassa-1301 254 34 two two NUM ijassa-1301 254 35 at at ADP ijassa-1301 254 36 the the DET ijassa-1301 254 37 ends end NOUN ijassa-1301 254 38 of of ADP ijassa-1301 254 39 the the DET ijassa-1301 254 40 segment segment NOUN ijassa-1301 254 41 [ [ X ijassa-1301 254 42 πœ‡ πœ‡ X ijassa-1301 254 43 , , PUNCT ijassa-1301 254 44 πœ† πœ† X ijassa-1301 254 45 ] ] X ijassa-1301 254 46 and and CCONJ ijassa-1301 254 47 one one NUM ijassa-1301 254 48 at at ADP ijassa-1301 254 49 an an DET ijassa-1301 254 50 internal internal ADJ ijassa-1301 254 51 point point NOUN ijassa-1301 254 52 . . PUNCT ijassa-1301 255 1 fig fig NOUN ijassa-1301 255 2 . . PUNCT ijassa-1301 256 1 4.1 4.1 NUM ijassa-1301 256 2 . . PUNCT ijassa-1301 256 3 graph graph NOUN ijassa-1301 256 4 of of ADP ijassa-1301 256 5 the the DET ijassa-1301 256 6 solution solution NOUN ijassa-1301 256 7 of of ADP ijassa-1301 256 8 the the DET ijassa-1301 256 9 system system NOUN ijassa-1301 256 10 ( ( PUNCT ijassa-1301 256 11 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 256 12 ) ) PUNCT ijassa-1301 256 13 ( ( PUNCT ijassa-1301 256 14 𝛾 𝛾 NOUN ijassa-1301 256 15 = = SYM ijassa-1301 256 16 0.5 0.5 NUM ijassa-1301 256 17 , , PUNCT ijassa-1301 256 18 πœ‡ πœ‡ ADP ijassa-1301 256 19 = = NOUN ijassa-1301 256 20 πœ† πœ† NOUN ijassa-1301 256 21 = = SYM ijassa-1301 256 22 0.6 0.6 NUM ijassa-1301 256 23 ) ) PUNCT ijassa-1301 256 24 . . PUNCT ijassa-1301 257 1 fig fig NOUN ijassa-1301 257 2 . . PUNCT ijassa-1301 258 1 4.2 4.2 NUM ijassa-1301 258 2 . . PUNCT ijassa-1301 259 1 graph graph NOUN ijassa-1301 259 2 of of ADP ijassa-1301 259 3 the the DET ijassa-1301 259 4 solution solution NOUN ijassa-1301 259 5 of of ADP ijassa-1301 259 6 the the DET ijassa-1301 259 7 system system NOUN ijassa-1301 259 8 ( ( PUNCT ijassa-1301 259 9 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 259 10 ) ) PUNCT ijassa-1301 259 11 ( ( PUNCT ijassa-1301 259 12 𝛾 𝛾 NOUN ijassa-1301 259 13 = = SYM ijassa-1301 259 14 0.5 0.5 NUM ijassa-1301 259 15 , , PUNCT ijassa-1301 259 16 πœ‡ πœ‡ X ijassa-1301 259 17 = = X ijassa-1301 259 18 0.6 0.6 NUM ijassa-1301 259 19 , , PUNCT ijassa-1301 259 20 πœ† πœ† NOUN ijassa-1301 259 21 = = SYM ijassa-1301 259 22 0.85 0.85 NUM ijassa-1301 259 23 ) ) PUNCT ijassa-1301 259 24 bifurcation bifurcation NOUN ijassa-1301 259 25 in in ADP ijassa-1301 259 26 the the DET ijassa-1301 259 27 model model NOUN ijassa-1301 259 28 of of ADP ijassa-1301 259 29 cargo cargo NOUN ijassa-1301 259 30 transportation transportation NOUN ijassa-1301 259 31 organization organization NOUN ijassa-1301 259 32 87 87 NUM ijassa-1301 259 33 copyright copyright NOUN ijassa-1301 259 34 Β© Β© PROPN ijassa-1301 259 35 0000 0000 NUM ijassa-1301 259 36 assa assa NOUN ijassa-1301 259 37 . . PUNCT ijassa-1301 260 1 adv adv PROPN ijassa-1301 260 2 . . PUNCT ijassa-1301 261 1 in in ADP ijassa-1301 261 2 systems system NOUN ijassa-1301 261 3 science science NOUN ijassa-1301 261 4 and and CCONJ ijassa-1301 261 5 appl appl NOUN ijassa-1301 261 6 . . PUNCT ijassa-1301 262 1 ( ( PUNCT ijassa-1301 262 2 0000 0000 NUM ijassa-1301 262 3 ) ) PUNCT ijassa-1301 262 4 fig fig NOUN ijassa-1301 262 5 . . PUNCT ijassa-1301 263 1 4.3 4.3 NUM ijassa-1301 263 2 . . PUNCT ijassa-1301 263 3 graph graph NOUN ijassa-1301 263 4 of of ADP ijassa-1301 263 5 the the DET ijassa-1301 263 6 solution solution NOUN ijassa-1301 263 7 of of ADP ijassa-1301 263 8 the the DET ijassa-1301 263 9 system system NOUN ijassa-1301 263 10 ( ( PUNCT ijassa-1301 263 11 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 263 12 ) ) PUNCT ijassa-1301 263 13 ( ( PUNCT ijassa-1301 263 14 𝛾 𝛾 NOUN ijassa-1301 263 15 = = SYM ijassa-1301 263 16 0.5 0.5 NUM ijassa-1301 263 17 , , PUNCT ijassa-1301 263 18 πœ‡ πœ‡ X ijassa-1301 263 19 = = X ijassa-1301 263 20 0.6 0.6 NUM ijassa-1301 263 21 , , PUNCT ijassa-1301 263 22 πœ† πœ† X ijassa-1301 263 23 = = SYM ijassa-1301 263 24 πœ† πœ† NOUN ijassa-1301 263 25 = = SYM ijassa-1301 263 26 0.898 0.898 NUM ijassa-1301 263 27 ) ) PUNCT ijassa-1301 263 28 note note VERB ijassa-1301 263 29 that that SCONJ ijassa-1301 263 30 due due ADP ijassa-1301 263 31 to to ADP ijassa-1301 263 32 the the DET ijassa-1301 263 33 global global ADJ ijassa-1301 263 34 stability stability NOUN ijassa-1301 263 35 of of ADP ijassa-1301 263 36 the the DET ijassa-1301 263 37 stationary stationary ADJ ijassa-1301 263 38 solution solution NOUN ijassa-1301 263 39 ( ( PUNCT ijassa-1301 263 40 3.1 3.1 NUM ijassa-1301 263 41 ) ) PUNCT ijassa-1301 263 42 , , PUNCT ijassa-1301 263 43 the the DET ijassa-1301 263 44 asymptotic asymptotic ADJ ijassa-1301 263 45 behavior behavior NOUN ijassa-1301 263 46 of of ADP ijassa-1301 263 47 the the DET ijassa-1301 263 48 solutions solution NOUN ijassa-1301 263 49 shown show VERB ijassa-1301 263 50 in in ADP ijassa-1301 263 51 figures figure NOUN ijassa-1301 263 52 4.1–4.3 4.1–4.3 PRON ijassa-1301 263 53 does do AUX ijassa-1301 263 54 not not PART ijassa-1301 263 55 change change VERB ijassa-1301 263 56 when when SCONJ ijassa-1301 263 57 the the DET ijassa-1301 263 58 initial initial ADJ ijassa-1301 263 59 values value NOUN ijassa-1301 263 60 change change VERB ijassa-1301 263 61 . . PUNCT ijassa-1301 264 1 these these DET ijassa-1301 264 2 figures figure NOUN ijassa-1301 264 3 clearly clearly ADV ijassa-1301 264 4 show show VERB ijassa-1301 264 5 that that SCONJ ijassa-1301 264 6 the the DET ijassa-1301 264 7 steady steady ADJ ijassa-1301 264 8 – – PUNCT ijassa-1301 264 9 state state NOUN ijassa-1301 264 10 mode mode NOUN ijassa-1301 264 11 for for ADP ijassa-1301 264 12 the the DET ijassa-1301 264 13 zero zero NUM ijassa-1301 264 14 component component NOUN ijassa-1301 264 15 of of ADP ijassa-1301 264 16 the the DET ijassa-1301 264 17 solution solution NOUN ijassa-1301 264 18 of of ADP ijassa-1301 264 19 the the DET ijassa-1301 264 20 system system NOUN ijassa-1301 264 21 ( ( PUNCT ijassa-1301 264 22 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 264 23 ) ) PUNCT ijassa-1301 264 24 does do AUX ijassa-1301 264 25 not not PART ijassa-1301 264 26 depend depend VERB ijassa-1301 264 27 on on ADP ijassa-1301 264 28 the the DET ijassa-1301 264 29 parameter parameter NOUN ijassa-1301 264 30 πœ† πœ† ADP ijassa-1301 264 31 , , PUNCT ijassa-1301 264 32 and and CCONJ ijassa-1301 264 33 for for ADP ijassa-1301 264 34 the the DET ijassa-1301 264 35 remaining remain VERB ijassa-1301 264 36 components component NOUN ijassa-1301 264 37 , , PUNCT ijassa-1301 264 38 an an DET ijassa-1301 264 39 increase increase NOUN ijassa-1301 264 40 in in ADP ijassa-1301 264 41 the the DET ijassa-1301 264 42 parameter parameter NOUN ijassa-1301 264 43 πœ† πœ† ADP ijassa-1301 264 44 leads lead VERB ijassa-1301 264 45 to to ADP ijassa-1301 264 46 their their PRON ijassa-1301 264 47 asymptotic asymptotic ADJ ijassa-1301 264 48 increase increase NOUN ijassa-1301 264 49 . . PUNCT ijassa-1301 265 1 recall recall VERB ijassa-1301 265 2 that that SCONJ ijassa-1301 265 3 the the DET ijassa-1301 265 4 components component NOUN ijassa-1301 265 5 of of ADP ijassa-1301 265 6 the the DET ijassa-1301 265 7 solution solution NOUN ijassa-1301 265 8 of of ADP ijassa-1301 265 9 the the DET ijassa-1301 265 10 system system NOUN ijassa-1301 265 11 ( ( PUNCT ijassa-1301 265 12 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 265 13 ) ) PUNCT ijassa-1301 265 14 determine determine VERB ijassa-1301 265 15 the the DET ijassa-1301 265 16 dynamics dynamic NOUN ijassa-1301 265 17 of of ADP ijassa-1301 265 18 the the DET ijassa-1301 265 19 degree degree NOUN ijassa-1301 265 20 of of ADP ijassa-1301 265 21 inconsistency inconsistency NOUN ijassa-1301 265 22 between between ADP ijassa-1301 265 23 the the DET ijassa-1301 265 24 reception reception NOUN ijassa-1301 265 25 and and CCONJ ijassa-1301 265 26 dispatch dispatch NOUN ijassa-1301 265 27 of of ADP ijassa-1301 265 28 goods good NOUN ijassa-1301 265 29 at at ADP ijassa-1301 265 30 stations station NOUN ijassa-1301 265 31 . . PUNCT ijassa-1301 266 1 therefore therefore ADV ijassa-1301 266 2 , , PUNCT ijassa-1301 266 3 in in ADP ijassa-1301 266 4 this this DET ijassa-1301 266 5 case case NOUN ijassa-1301 266 6 , , PUNCT ijassa-1301 266 7 the the DET ijassa-1301 266 8 question question NOUN ijassa-1301 266 9 of of ADP ijassa-1301 266 10 choosing choose VERB ijassa-1301 266 11 a a DET ijassa-1301 266 12 parameter parameter NOUN ijassa-1301 266 13 πœ† πœ† NOUN ijassa-1301 266 14 is be AUX ijassa-1301 266 15 uniquely uniquely ADV ijassa-1301 266 16 determined determine VERB ijassa-1301 266 17 , , PUNCT ijassa-1301 266 18 its its PRON ijassa-1301 266 19 value value NOUN ijassa-1301 266 20 should should AUX ijassa-1301 266 21 be be AUX ijassa-1301 266 22 taken take VERB ijassa-1301 266 23 equal equal ADJ ijassa-1301 266 24 to to ADP ijassa-1301 266 25 the the DET ijassa-1301 266 26 value value NOUN ijassa-1301 266 27 of of ADP ijassa-1301 266 28 the the DET ijassa-1301 266 29 parameter parameter NOUN ijassa-1301 266 30 πœ‡. πœ‡. NOUN ijassa-1301 266 31 let let VERB ijassa-1301 266 32 's us PRON ijassa-1301 266 33 move move VERB ijassa-1301 266 34 on on ADP ijassa-1301 266 35 to to ADP ijassa-1301 266 36 the the DET ijassa-1301 266 37 second second ADJ ijassa-1301 266 38 case case NOUN ijassa-1301 266 39 ( ( PUNCT ijassa-1301 266 40 𝛾 𝛾 NOUN ijassa-1301 266 41 = = SYM ijassa-1301 266 42 πœ‡ πœ‡ NOUN ijassa-1301 266 43 ) ) PUNCT ijassa-1301 266 44 . . PUNCT ijassa-1301 267 1 fig fig NOUN ijassa-1301 267 2 . . PUNCT ijassa-1301 268 1 4.4 4.4 NUM ijassa-1301 268 2 , , PUNCT ijassa-1301 268 3 fig fig NOUN ijassa-1301 268 4 . . PUNCT ijassa-1301 269 1 4.5 4.5 NUM ijassa-1301 269 2 and and CCONJ ijassa-1301 269 3 fig fig NOUN ijassa-1301 269 4 . . PUNCT ijassa-1301 270 1 4.6 4.6 NUM ijassa-1301 270 2 show show NOUN ijassa-1301 270 3 graphs graph NOUN ijassa-1301 270 4 of of ADP ijassa-1301 270 5 solutions solution NOUN ijassa-1301 270 6 of of ADP ijassa-1301 270 7 the the DET ijassa-1301 270 8 system system NOUN ijassa-1301 270 9 ( ( PUNCT ijassa-1301 270 10 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 270 11 ) ) PUNCT ijassa-1301 270 12 at at ADP ijassa-1301 270 13 𝛾 𝛾 NOUN ijassa-1301 270 14 = = SYM ijassa-1301 270 15 0.6 0.6 NUM ijassa-1301 270 16 and and CCONJ ijassa-1301 270 17 the the DET ijassa-1301 270 18 same same ADJ ijassa-1301 270 19 values value NOUN ijassa-1301 270 20 of of ADP ijassa-1301 270 21 parameter parameter NOUN ijassa-1301 270 22 πœ† πœ† ADP ijassa-1301 270 23 , , PUNCT ijassa-1301 270 24 as as ADP ijassa-1301 270 25 for for ADP ijassa-1301 270 26 the the DET ijassa-1301 270 27 previous previous ADJ ijassa-1301 270 28 case case NOUN ijassa-1301 270 29 . . PUNCT ijassa-1301 271 1 fig fig NOUN ijassa-1301 271 2 . . PUNCT ijassa-1301 272 1 4.4 4.4 NUM ijassa-1301 272 2 . . PUNCT ijassa-1301 273 1 graph graph NOUN ijassa-1301 273 2 of of ADP ijassa-1301 273 3 the the DET ijassa-1301 273 4 solution solution NOUN ijassa-1301 273 5 of of ADP ijassa-1301 273 6 the the DET ijassa-1301 273 7 system system NOUN ijassa-1301 273 8 ( ( PUNCT ijassa-1301 273 9 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 273 10 ) ) PUNCT ijassa-1301 273 11 𝛾 𝛾 NOUN ijassa-1301 273 12 = = SYM ijassa-1301 273 13 πœ† πœ† NOUN ijassa-1301 273 14 = = PUNCT ijassa-1301 273 15 πœ‡ πœ‡ X ijassa-1301 273 16 = = NOUN ijassa-1301 273 17 0.6 0.6 NUM ijassa-1301 273 18 88 88 NUM ijassa-1301 273 19 n.k n.k PROPN ijassa-1301 273 20 . . NOUN ijassa-1301 273 21 khachatryan khachatryan PROPN ijassa-1301 273 22 copyright copyright NOUN ijassa-1301 274 1 Β© Β© PROPN ijassa-1301 274 2 0000 0000 NUM ijassa-1301 274 3 assa assa PROPN ijassa-1301 274 4 adv adv PROPN ijassa-1301 274 5 . . PUNCT ijassa-1301 275 1 in in ADP ijassa-1301 275 2 systems system NOUN ijassa-1301 275 3 science science NOUN ijassa-1301 275 4 and and CCONJ ijassa-1301 275 5 appl appl NOUN ijassa-1301 275 6 . . PUNCT ijassa-1301 276 1 ( ( PUNCT ijassa-1301 276 2 0000 0000 NUM ijassa-1301 276 3 ) ) PUNCT ijassa-1301 276 4 fig fig NOUN ijassa-1301 276 5 . . PUNCT ijassa-1301 277 1 4.5 4.5 NUM ijassa-1301 277 2 . . PUNCT ijassa-1301 278 1 graph graph NOUN ijassa-1301 278 2 of of ADP ijassa-1301 278 3 the the DET ijassa-1301 278 4 solution solution NOUN ijassa-1301 278 5 of of ADP ijassa-1301 278 6 the the DET ijassa-1301 278 7 system system NOUN ijassa-1301 278 8 ( ( PUNCT ijassa-1301 278 9 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 278 10 ) ) PUNCT ijassa-1301 278 11 𝛾 𝛾 NOUN ijassa-1301 278 12 = = SYM ijassa-1301 278 13 πœ‡ πœ‡ X ijassa-1301 278 14 = = X ijassa-1301 278 15 0.6 0.6 NUM ijassa-1301 278 16 , , PUNCT ijassa-1301 278 17 πœ† πœ† NOUN ijassa-1301 278 18 = = SYM ijassa-1301 278 19 0.85 0.85 NUM ijassa-1301 278 20 fig fig NOUN ijassa-1301 278 21 . . PUNCT ijassa-1301 279 1 4.6 4.6 NUM ijassa-1301 279 2 . . PUNCT ijassa-1301 280 1 graph graph NOUN ijassa-1301 280 2 of of ADP ijassa-1301 280 3 the the DET ijassa-1301 280 4 solution solution NOUN ijassa-1301 280 5 of of ADP ijassa-1301 280 6 the the DET ijassa-1301 280 7 system system NOUN ijassa-1301 280 8 ( ( PUNCT ijassa-1301 280 9 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 280 10 ) ) PUNCT ijassa-1301 280 11 𝛾 𝛾 NOUN ijassa-1301 280 12 = = SYM ijassa-1301 280 13 πœ‡ πœ‡ X ijassa-1301 280 14 = = X ijassa-1301 280 15 0.6 0.6 NUM ijassa-1301 280 16 , , PUNCT ijassa-1301 280 17 πœ† πœ† X ijassa-1301 280 18 = = SYM ijassa-1301 280 19 πœ† πœ† NOUN ijassa-1301 280 20 = = SYM ijassa-1301 280 21 0.898 0.898 NUM ijassa-1301 280 22 comparing compare VERB ijassa-1301 280 23 figures figure NOUN ijassa-1301 280 24 4.4 4.4 NUM ijassa-1301 280 25 , , PUNCT ijassa-1301 280 26 4.5 4.5 NUM ijassa-1301 280 27 and and CCONJ ijassa-1301 280 28 4.6 4.6 NUM ijassa-1301 280 29 , , PUNCT ijassa-1301 280 30 it it PRON ijassa-1301 280 31 can can AUX ijassa-1301 280 32 be be AUX ijassa-1301 280 33 seen see VERB ijassa-1301 280 34 that that SCONJ ijassa-1301 280 35 an an DET ijassa-1301 280 36 increase increase NOUN ijassa-1301 280 37 in in ADP ijassa-1301 280 38 the the DET ijassa-1301 280 39 value value NOUN ijassa-1301 280 40 of of ADP ijassa-1301 280 41 parameter parameter NOUN ijassa-1301 280 42 πœ† πœ† PROPN ijassa-1301 280 43 leads lead VERB ijassa-1301 280 44 to to ADP ijassa-1301 280 45 an an DET ijassa-1301 280 46 asymptotic asymptotic ADJ ijassa-1301 280 47 decrease decrease NOUN ijassa-1301 280 48 in in ADP ijassa-1301 280 49 the the DET ijassa-1301 280 50 zero zero NUM ijassa-1301 280 51 component component NOUN ijassa-1301 280 52 of of ADP ijassa-1301 280 53 the the DET ijassa-1301 280 54 solution solution NOUN ijassa-1301 280 55 of of ADP ijassa-1301 280 56 the the DET ijassa-1301 280 57 system system NOUN ijassa-1301 280 58 ( ( PUNCT ijassa-1301 280 59 2.12 2.12 NUM ijassa-1301 280 60 ) ) PUNCT ijassa-1301 280 61 – – PUNCT ijassa-1301 280 62 ( ( PUNCT ijassa-1301 280 63 2.15 2.15 NUM ijassa-1301 280 64 ) ) PUNCT ijassa-1301 280 65 , , PUNCT ijassa-1301 280 66 in in ADP ijassa-1301 280 67 contrast contrast NOUN ijassa-1301 280 68 to to ADP ijassa-1301 280 69 the the DET ijassa-1301 280 70 first first ADJ ijassa-1301 280 71 case case NOUN ijassa-1301 280 72 . . PUNCT ijassa-1301 281 1 the the DET ijassa-1301 281 2 remaining remain VERB ijassa-1301 281 3 components component NOUN ijassa-1301 281 4 of of ADP ijassa-1301 281 5 the the DET ijassa-1301 281 6 solution solution NOUN ijassa-1301 281 7 , , PUNCT ijassa-1301 281 8 as as ADP ijassa-1301 281 9 in in ADP ijassa-1301 281 10 the the DET ijassa-1301 281 11 first first ADJ ijassa-1301 281 12 case case NOUN ijassa-1301 281 13 , , PUNCT ijassa-1301 281 14 increase increase VERB ijassa-1301 281 15 asymptotically asymptotically ADV ijassa-1301 281 16 with with ADP ijassa-1301 281 17 an an DET ijassa-1301 281 18 increase increase NOUN ijassa-1301 281 19 in in ADP ijassa-1301 281 20 the the DET ijassa-1301 281 21 value value NOUN ijassa-1301 281 22 of of ADP ijassa-1301 281 23 the the DET ijassa-1301 281 24 parameter parameter NOUN ijassa-1301 281 25 πœ†. πœ†. VERB ijassa-1301 282 1 this this PRON ijassa-1301 282 2 means mean VERB ijassa-1301 282 3 that that SCONJ ijassa-1301 282 4 in in ADP ijassa-1301 282 5 this this DET ijassa-1301 282 6 case case NOUN ijassa-1301 282 7 , , PUNCT ijassa-1301 282 8 by by ADP ijassa-1301 282 9 controlling control VERB ijassa-1301 282 10 the the DET ijassa-1301 282 11 parameter parameter NOUN ijassa-1301 282 12 πœ† πœ† ADP ijassa-1301 282 13 you you PRON ijassa-1301 282 14 can can AUX ijassa-1301 282 15 set set VERB ijassa-1301 282 16 the the DET ijassa-1301 282 17 desired desire VERB ijassa-1301 282 18 degree degree NOUN ijassa-1301 282 19 of of ADP ijassa-1301 282 20 inconsistency inconsistency NOUN ijassa-1301 282 21 between between ADP ijassa-1301 282 22 the the DET ijassa-1301 282 23 reception reception NOUN ijassa-1301 282 24 and and CCONJ ijassa-1301 282 25 dispatch dispatch NOUN ijassa-1301 282 26 of of ADP ijassa-1301 282 27 goods good NOUN ijassa-1301 282 28 at at ADP ijassa-1301 282 29 all all DET ijassa-1301 282 30 stations station NOUN ijassa-1301 282 31 ( ( PUNCT ijassa-1301 282 32 including include VERB ijassa-1301 282 33 at at ADP ijassa-1301 282 34 the the DET ijassa-1301 282 35 zero zero NUM ijassa-1301 282 36 station station NOUN ijassa-1301 282 37 ) ) PUNCT ijassa-1301 282 38 . . PUNCT ijassa-1301 283 1 if if SCONJ ijassa-1301 283 2 we we PRON ijassa-1301 283 3 take take VERB ijassa-1301 283 4 πœ† πœ† ADV ijassa-1301 283 5 equal equal ADJ ijassa-1301 283 6 to to ADP ijassa-1301 283 7 πœ‡ πœ‡ X ijassa-1301 283 8 , , PUNCT ijassa-1301 283 9 then then ADV ijassa-1301 283 10 over over ADP ijassa-1301 283 11 time time NOUN ijassa-1301 283 12 the the DET ijassa-1301 283 13 degree degree NOUN ijassa-1301 283 14 of of ADP ijassa-1301 283 15 inconsistency inconsistency NOUN ijassa-1301 283 16 between between ADP ijassa-1301 283 17 the the DET ijassa-1301 283 18 reception reception NOUN ijassa-1301 283 19 and and CCONJ ijassa-1301 283 20 dispatch dispatch NOUN ijassa-1301 283 21 of of ADP ijassa-1301 283 22 goods good NOUN ijassa-1301 283 23 at at ADP ijassa-1301 283 24 all all DET ijassa-1301 283 25 stations station NOUN ijassa-1301 283 26 except except SCONJ ijassa-1301 283 27 zero zero NUM ijassa-1301 283 28 will will AUX ijassa-1301 283 29 become become VERB ijassa-1301 283 30 zero zero NUM ijassa-1301 283 31 , , PUNCT ijassa-1301 283 32 and and CCONJ ijassa-1301 283 33 at at ADP ijassa-1301 283 34 zero zero NUM ijassa-1301 283 35 station station NOUN ijassa-1301 283 36 1 1 NUM ijassa-1301 283 37 βˆ’ βˆ’ NOUN ijassa-1301 283 38 πœ‡. πœ‡. NOUN ijassa-1301 283 39 if if SCONJ ijassa-1301 283 40 the the DET ijassa-1301 283 41 value value NOUN ijassa-1301 283 42 of of ADP ijassa-1301 283 43 πœ‡ πœ‡ NOUN ijassa-1301 283 44 is be AUX ijassa-1301 283 45 close close ADJ ijassa-1301 283 46 to to ADP ijassa-1301 283 47 one one NUM ijassa-1301 283 48 , , PUNCT ijassa-1301 283 49 then then ADV ijassa-1301 283 50 this this DET ijassa-1301 283 51 choice choice NOUN ijassa-1301 283 52 of of ADP ijassa-1301 283 53 the the DET ijassa-1301 283 54 parameter parameter NOUN ijassa-1301 283 55 πœ† πœ† PRON ijassa-1301 283 56 will will AUX ijassa-1301 283 57 be be AUX ijassa-1301 283 58 optimal optimal ADJ ijassa-1301 283 59 . . PUNCT ijassa-1301 284 1 otherwise otherwise ADV ijassa-1301 284 2 , , PUNCT ijassa-1301 284 3 everything everything PRON ijassa-1301 284 4 will will AUX ijassa-1301 284 5 depend depend VERB ijassa-1301 284 6 on on ADP ijassa-1301 284 7 the the DET ijassa-1301 284 8 specific specific ADJ ijassa-1301 284 9 value value NOUN ijassa-1301 284 10 of of ADP ijassa-1301 284 11 the the DET ijassa-1301 284 12 parameter parameter NOUN ijassa-1301 284 13 πœ‡ πœ‡ ADP ijassa-1301 284 14 , , PUNCT ijassa-1301 284 15 as as ADV ijassa-1301 284 16 well well ADV ijassa-1301 284 17 as as ADP ijassa-1301 284 18 on on ADP ijassa-1301 284 19 how how SCONJ ijassa-1301 284 20 important important ADJ ijassa-1301 284 21 it it PRON ijassa-1301 284 22 is be AUX ijassa-1301 284 23 in in ADP ijassa-1301 284 24 a a DET ijassa-1301 284 25 given give VERB ijassa-1301 284 26 situation situation NOUN ijassa-1301 284 27 to to PART ijassa-1301 284 28 reduce reduce VERB ijassa-1301 284 29 the the DET ijassa-1301 284 30 degree degree NOUN ijassa-1301 284 31 of of ADP ijassa-1301 284 32 inconsistency inconsistency NOUN ijassa-1301 284 33 between between ADP ijassa-1301 284 34 receiving receive VERB ijassa-1301 284 35 and and CCONJ ijassa-1301 284 36 sending send VERB ijassa-1301 284 37 goods good NOUN ijassa-1301 284 38 at at ADP ijassa-1301 284 39 the the DET ijassa-1301 284 40 initial initial ADJ ijassa-1301 284 41 node node ADJ ijassa-1301 284 42 station station NOUN ijassa-1301 284 43 by by ADP ijassa-1301 284 44 increasing increase VERB ijassa-1301 284 45 this this DET ijassa-1301 284 46 characteristic characteristic NOUN ijassa-1301 284 47 at at ADP ijassa-1301 284 48 other other ADJ ijassa-1301 284 49 stations station NOUN ijassa-1301 284 50 . . PUNCT ijassa-1301 285 1 comparing compare VERB ijassa-1301 285 2 figures figure NOUN ijassa-1301 285 3 4.1 4.1 NUM ijassa-1301 285 4 and and CCONJ ijassa-1301 285 5 4.4 4.4 NUM ijassa-1301 285 6 , , PUNCT ijassa-1301 285 7 figures figure VERB ijassa-1301 285 8 4.2 4.2 NUM ijassa-1301 285 9 and and CCONJ ijassa-1301 285 10 4.5 4.5 NUM ijassa-1301 285 11 , , PUNCT ijassa-1301 285 12 as as ADV ijassa-1301 285 13 well well ADV ijassa-1301 285 14 as as ADP ijassa-1301 285 15 figures figure NOUN ijassa-1301 285 16 4.3 4.3 NUM ijassa-1301 285 17 and and CCONJ ijassa-1301 285 18 4.6 4.6 NUM ijassa-1301 285 19 , , PUNCT ijassa-1301 285 20 it it PRON ijassa-1301 285 21 can can AUX ijassa-1301 285 22 be be AUX ijassa-1301 285 23 concluded conclude VERB ijassa-1301 285 24 that that SCONJ ijassa-1301 285 25 in in ADP ijassa-1301 285 26 terms term NOUN ijassa-1301 285 27 of of ADP ijassa-1301 285 28 minimizing minimize VERB ijassa-1301 285 29 the the DET ijassa-1301 285 30 degree degree NOUN ijassa-1301 285 31 of of ADP ijassa-1301 285 32 inconsistency inconsistency NOUN ijassa-1301 285 33 between between ADP ijassa-1301 285 34 the the DET ijassa-1301 285 35 reception reception NOUN ijassa-1301 285 36 and and CCONJ ijassa-1301 285 37 dispatch dispatch NOUN ijassa-1301 285 38 of of ADP ijassa-1301 285 39 goods good NOUN ijassa-1301 285 40 at at ADP ijassa-1301 285 41 stations station NOUN ijassa-1301 285 42 , , PUNCT ijassa-1301 285 43 it it PRON ijassa-1301 285 44 is be AUX ijassa-1301 285 45 advisable advisable ADJ ijassa-1301 285 46 to to PART ijassa-1301 285 47 take take VERB ijassa-1301 285 48 the the DET ijassa-1301 285 49 parameter parameter NOUN ijassa-1301 285 50 𝛾 𝛾 NOUN ijassa-1301 285 51 equal equal ADJ ijassa-1301 285 52 to to ADP ijassa-1301 285 53 the the DET ijassa-1301 285 54 parameter parameter NOUN ijassa-1301 285 55 πœ‡. πœ‡. NOUN ijassa-1301 286 1 this this PRON ijassa-1301 286 2 means mean VERB ijassa-1301 286 3 that that SCONJ ijassa-1301 286 4 the the DET ijassa-1301 286 5 mode mode NOUN ijassa-1301 286 6 of of ADP ijassa-1301 286 7 cargo cargo NOUN ijassa-1301 286 8 distribution distribution NOUN ijassa-1301 286 9 from from ADP ijassa-1301 286 10 the the DET ijassa-1301 286 11 final final ADJ ijassa-1301 286 12 node node NOUN ijassa-1301 286 13 station station NOUN ijassa-1301 286 14 must must AUX ijassa-1301 286 15 be be AUX ijassa-1301 286 16 coordinated coordinate VERB ijassa-1301 286 17 with with ADP ijassa-1301 286 18 the the DET ijassa-1301 286 19 characteristics characteristic NOUN ijassa-1301 286 20 of of ADP ijassa-1301 286 21 the the DET ijassa-1301 286 22 demand demand NOUN ijassa-1301 286 23 for for ADP ijassa-1301 286 24 transportation transportation NOUN ijassa-1301 286 25 . . PUNCT ijassa-1301 287 1 bifurcation bifurcation NOUN ijassa-1301 287 2 in in ADP ijassa-1301 287 3 the the DET ijassa-1301 287 4 model model NOUN ijassa-1301 287 5 of of ADP ijassa-1301 287 6 cargo cargo NOUN ijassa-1301 287 7 transportation transportation NOUN ijassa-1301 287 8 organization organization NOUN ijassa-1301 287 9 89 89 NUM ijassa-1301 287 10 copyright copyright NOUN ijassa-1301 287 11 Β© Β© PROPN ijassa-1301 287 12 0000 0000 NUM ijassa-1301 287 13 assa assa NOUN ijassa-1301 287 14 . . PUNCT ijassa-1301 288 1 adv adv PROPN ijassa-1301 288 2 . . PUNCT ijassa-1301 289 1 in in ADP ijassa-1301 289 2 systems system NOUN ijassa-1301 289 3 science science NOUN ijassa-1301 289 4 and and CCONJ ijassa-1301 289 5 appl appl NOUN ijassa-1301 289 6 . . PUNCT ijassa-1301 290 1 ( ( PUNCT ijassa-1301 290 2 0000 0000 NUM ijassa-1301 290 3 ) ) PUNCT ijassa-1301 290 4 5 5 NUM ijassa-1301 290 5 . . X ijassa-1301 290 6 investigation investigation NOUN ijassa-1301 290 7 of of ADP ijassa-1301 290 8 the the DET ijassa-1301 290 9 attraction attraction NOUN ijassa-1301 290 10 area area NOUN ijassa-1301 290 11 of of ADP ijassa-1301 290 12 stationary stationary ADJ ijassa-1301 290 13 solutions solution NOUN ijassa-1301 290 14 of of ADP ijassa-1301 290 15 the the DET ijassa-1301 290 16 system system NOUN ijassa-1301 290 17 ( ( PUNCT ijassa-1301 290 18 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 290 19 ) ) PUNCT ijassa-1301 290 20 of of ADP ijassa-1301 290 21 the the DET ijassa-1301 290 22 form form NOUN ijassa-1301 290 23 ( ( PUNCT ijassa-1301 290 24 3.2 3.2 NUM ijassa-1301 290 25 ) ) PUNCT ijassa-1301 290 26 according accord VERB ijassa-1301 290 27 to to ADP ijassa-1301 290 28 consequence consequence NOUN ijassa-1301 290 29 1 1 NUM ijassa-1301 290 30 , , PUNCT ijassa-1301 290 31 the the DET ijassa-1301 290 32 system system NOUN ijassa-1301 290 33 of of ADP ijassa-1301 290 34 differential differential ADJ ijassa-1301 290 35 equations equation NOUN ijassa-1301 290 36 ( ( PUNCT ijassa-1301 290 37 2.12)–(2.15 2.12)–(2.15 NUM ijassa-1301 290 38 ) ) PUNCT ijassa-1301 290 39 has have VERB ijassa-1301 290 40 a a DET ijassa-1301 290 41 globally globally ADV ijassa-1301 290 42 stable stable ADJ ijassa-1301 290 43 stationary stationary ADJ ijassa-1301 290 44 solution solution NOUN ijassa-1301 290 45 ( ( PUNCT ijassa-1301 290 46 3.1 3.1 NUM ijassa-1301 290 47 ) ) PUNCT ijassa-1301 290 48 and and CCONJ ijassa-1301 290 49 a a DET ijassa-1301 290 50 family family NOUN ijassa-1301 290 51 of of ADP ijassa-1301 290 52 stable stable ADJ ijassa-1301 290 53 solutions solution NOUN ijassa-1301 290 54 of of ADP ijassa-1301 290 55 the the DET ijassa-1301 290 56 form form NOUN ijassa-1301 290 57 ( ( PUNCT ijassa-1301 290 58 3.2 3.2 NUM ijassa-1301 290 59 ) ) PUNCT ijassa-1301 290 60 . . PUNCT ijassa-1301 291 1 we we PRON ijassa-1301 291 2 select select VERB ijassa-1301 291 3 the the DET ijassa-1301 291 4 following follow VERB ijassa-1301 291 5 stationary stationary ADJ ijassa-1301 291 6 solution solution NOUN ijassa-1301 291 7 from from ADP ijassa-1301 291 8 this this DET ijassa-1301 291 9 family family NOUN ijassa-1301 291 10 𝑧 𝑧 X ijassa-1301 291 11 ( ( PUNCT ijassa-1301 291 12 . . PUNCT ijassa-1301 291 13 ) ) PUNCT ijassa-1301 292 1 ≑ ≑ PROPN ijassa-1301 292 2 1 1 NUM ijassa-1301 292 3 βˆ’ βˆ’ PROPN ijassa-1301 292 4 πœ‡ πœ‡ ADP ijassa-1301 292 5 , , PUNCT ijassa-1301 292 6 𝑧 𝑧 PROPN ijassa-1301 292 7 ( ( PUNCT ijassa-1301 292 8 . . PUNCT ijassa-1301 292 9 ) ) PUNCT ijassa-1301 293 1 ≑ ≑ PROPN ijassa-1301 293 2 1 1 NUM ijassa-1301 293 3 βˆ’ βˆ’ NOUN ijassa-1301 293 4 , , PUNCT ijassa-1301 293 5 𝑖 𝑖 PROPN ijassa-1301 293 6 = = NOUN ijassa-1301 293 7 1 1 NUM ijassa-1301 293 8 , , PUNCT ijassa-1301 293 9 . . PUNCT ijassa-1301 293 10 . . PUNCT ijassa-1301 294 1 . . PUNCT ijassa-1301 295 1 , , PUNCT ijassa-1301 295 2 π‘š π‘š X ijassa-1301 295 3 + + NOUN ijassa-1301 295 4 1 1 X ijassa-1301 295 5 . . PUNCT ijassa-1301 295 6 ( ( PUNCT ijassa-1301 295 7 5.1 5.1 NUM ijassa-1301 295 8 ) ) PUNCT ijassa-1301 295 9 as as SCONJ ijassa-1301 295 10 numerical numerical ADJ ijassa-1301 295 11 experiments experiment NOUN ijassa-1301 295 12 have have AUX ijassa-1301 295 13 shown show VERB ijassa-1301 295 14 , , PUNCT ijassa-1301 295 15 this this DET ijassa-1301 295 16 stationary stationary ADJ ijassa-1301 295 17 solution solution NOUN ijassa-1301 295 18 is be AUX ijassa-1301 295 19 in in ADP ijassa-1301 295 20 contrast contrast NOUN ijassa-1301 295 21 to to ADP ijassa-1301 295 22 other other ADJ ijassa-1301 295 23 stationary stationary ADJ ijassa-1301 295 24 solutions solution NOUN ijassa-1301 295 25 of of ADP ijassa-1301 295 26 the the DET ijassa-1301 295 27 form form NOUN ijassa-1301 295 28 ( ( PUNCT ijassa-1301 295 29 3.2 3.2 NUM ijassa-1301 295 30 ) ) PUNCT ijassa-1301 295 31 presented present VERB ijassa-1301 295 32 below below ADP ijassa-1301 295 33 𝑧 𝑧 PROPN ijassa-1301 295 34 ( ( PUNCT ijassa-1301 295 35 . . PUNCT ijassa-1301 295 36 ) ) PUNCT ijassa-1301 296 1 < < X ijassa-1301 296 2 1 1 NUM ijassa-1301 296 3 βˆ’ βˆ’ NOUN ijassa-1301 296 4 πœ‡ πœ‡ ADP ijassa-1301 296 5 , , PUNCT ijassa-1301 296 6 𝑧 𝑧 PROPN ijassa-1301 296 7 ( ( PUNCT ijassa-1301 296 8 . . PUNCT ijassa-1301 296 9 ) ) PUNCT ijassa-1301 297 1 ≑ ≑ PROPN ijassa-1301 297 2 1 1 NUM ijassa-1301 297 3 βˆ’ βˆ’ NOUN ijassa-1301 297 4 , , PUNCT ijassa-1301 297 5 𝑖 𝑖 PROPN ijassa-1301 297 6 = = NOUN ijassa-1301 297 7 1 1 NUM ijassa-1301 297 8 , , PUNCT ijassa-1301 297 9 . . PUNCT ijassa-1301 297 10 . . PUNCT ijassa-1301 298 1 . . PUNCT ijassa-1301 299 1 , , PUNCT ijassa-1301 299 2 π‘š π‘š X ijassa-1301 299 3 + + ADJ ijassa-1301 299 4 1 1 NUM ijassa-1301 299 5 ( ( PUNCT ijassa-1301 299 6 5.2 5.2 NUM ijassa-1301 299 7 ) ) PUNCT ijassa-1301 299 8 and and CCONJ ijassa-1301 299 9 being be AUX ijassa-1301 299 10 locally locally ADV ijassa-1301 299 11 stable stable ADJ ijassa-1301 299 12 , , PUNCT ijassa-1301 299 13 has have VERB ijassa-1301 299 14 a a DET ijassa-1301 299 15 certain certain ADJ ijassa-1301 299 16 area area NOUN ijassa-1301 299 17 of of ADP ijassa-1301 299 18 attraction attraction NOUN ijassa-1301 299 19 . . PUNCT ijassa-1301 300 1 denote denote VERB ijassa-1301 300 2 с(πœ‡ с(πœ‡ NOUN ijassa-1301 300 3 , , PUNCT ijassa-1301 300 4 πœ† πœ† X ijassa-1301 300 5 ) ) PUNCT ijassa-1301 300 6 = = SYM ijassa-1301 300 7 ( ( PUNCT ijassa-1301 300 8 ) ) PUNCT ijassa-1301 300 9 ( ( PUNCT ijassa-1301 300 10 / / SYM ijassa-1301 300 11 ) ) PUNCT ijassa-1301 300 12 . . PUNCT ijassa-1301 301 1 the the DET ijassa-1301 301 2 analysis analysis NOUN ijassa-1301 301 3 of of ADP ijassa-1301 301 4 a a DET ijassa-1301 301 5 large large ADJ ijassa-1301 301 6 number number NOUN ijassa-1301 301 7 of of ADP ijassa-1301 301 8 numerical numerical ADJ ijassa-1301 301 9 experiments experiment NOUN ijassa-1301 301 10 made make VERB ijassa-1301 301 11 it it PRON ijassa-1301 301 12 possible possible ADJ ijassa-1301 301 13 to to PART ijassa-1301 301 14 describe describe VERB ijassa-1301 301 15 the the DET ijassa-1301 301 16 region region NOUN ijassa-1301 301 17 of of ADP ijassa-1301 301 18 attraction attraction NOUN ijassa-1301 301 19 of of ADP ijassa-1301 301 20 the the DET ijassa-1301 301 21 stationary stationary ADJ ijassa-1301 301 22 solution solution NOUN ijassa-1301 301 23 ( ( PUNCT ijassa-1301 301 24 5.1 5.1 NUM ijassa-1301 301 25 ) ) PUNCT ijassa-1301 301 26 . . PUNCT ijassa-1301 302 1 the the DET ijassa-1301 302 2 results result NOUN ijassa-1301 302 3 of of ADP ijassa-1301 302 4 this this DET ijassa-1301 302 5 analysis analysis NOUN ijassa-1301 302 6 are be AUX ijassa-1301 302 7 given give VERB ijassa-1301 302 8 in in ADP ijassa-1301 302 9 the the DET ijassa-1301 302 10 following follow VERB ijassa-1301 302 11 proposition proposition NOUN ijassa-1301 302 12 . . PUNCT ijassa-1301 303 1 proposition proposition NOUN ijassa-1301 303 2 5.1 5.1 NUM ijassa-1301 303 3 : : PUNCT ijassa-1301 303 4 for for ADP ijassa-1301 303 5 any any DET ijassa-1301 303 6 parameter parameter NOUN ijassa-1301 303 7 values value NOUN ijassa-1301 303 8 0 0 PUNCT ijassa-1301 303 9 < < X ijassa-1301 303 10 πœ‡ πœ‡ ADP ijassa-1301 303 11 ≀ ≀ NUM ijassa-1301 303 12 1 1 NUM ijassa-1301 303 13 , , PUNCT ijassa-1301 303 14 π‘Ž π‘Ž NOUN ijassa-1301 303 15 > > X ijassa-1301 303 16 0 0 NUM ijassa-1301 303 17 , , PUNCT ijassa-1301 303 18 πœ‡ πœ‡ ADP ijassa-1301 303 19 ≀ ≀ NUM ijassa-1301 303 20 πœ† πœ† DET ijassa-1301 303 21 ≀ ≀ NOUN ijassa-1301 303 22 πœ† πœ† PRON ijassa-1301 303 23 , , PUNCT ijassa-1301 303 24 𝛾 𝛾 NOUN ijassa-1301 303 25 = = X ijassa-1301 303 26 πœ‡ πœ‡ ADP ijassa-1301 303 27 the the DET ijassa-1301 303 28 solution solution NOUN ijassa-1301 303 29 of of ADP ijassa-1301 303 30 the the DET ijassa-1301 303 31 system system NOUN ijassa-1301 303 32 ( ( PUNCT ijassa-1301 303 33 2.12)–(2.15 2.12)–(2.15 X ijassa-1301 303 34 ) ) PUNCT ijassa-1301 303 35 converges converge VERB ijassa-1301 303 36 to to ADP ijassa-1301 303 37 the the DET ijassa-1301 303 38 stationary stationary ADJ ijassa-1301 303 39 solution solution NOUN ijassa-1301 303 40 ( ( PUNCT ijassa-1301 303 41 5.1 5.1 NUM ijassa-1301 303 42 ) ) PUNCT ijassa-1301 303 43 if if SCONJ ijassa-1301 303 44 the the DET ijassa-1301 303 45 initial initial ADJ ijassa-1301 303 46 values value NOUN ijassa-1301 303 47 satisfy satisfy VERB ijassa-1301 303 48 the the DET ijassa-1301 303 49 condition condition NOUN ijassa-1301 303 50 𝑧 𝑧 PROPN ijassa-1301 303 51 ( ( PUNCT ijassa-1301 303 52 𝑑 𝑑 PROPN ijassa-1301 303 53 ) ) PUNCT ijassa-1301 303 54 β‰₯ β‰₯ PROPN ijassa-1301 303 55 οΏ½ οΏ½ PROPN ijassa-1301 303 56 Μƒ Μƒ PROPN ijassa-1301 303 57 οΏ½ οΏ½ PROPN ijassa-1301 303 58 (πœ‡ (πœ‡ PROPN ijassa-1301 303 59 , , PUNCT ijassa-1301 303 60 πœ† πœ† NOUN ijassa-1301 303 61 ) ) PUNCT ijassa-1301 303 62 , , PUNCT ijassa-1301 303 63 𝑖 𝑖 SYM ijassa-1301 303 64 = = SYM ijassa-1301 303 65 0 0 NUM ijassa-1301 303 66 , , PUNCT ijassa-1301 303 67 1 1 NUM ijassa-1301 303 68 , , PUNCT ijassa-1301 303 69 . . PUNCT ijassa-1301 303 70 . . PUNCT ijassa-1301 304 1 . . PUNCT ijassa-1301 305 1 , , PUNCT ijassa-1301 305 2 π‘š π‘š X ijassa-1301 305 3 + + NOUN ijassa-1301 305 4 1 1 X ijassa-1301 305 5 . . PUNCT ijassa-1301 305 6 otherwise otherwise ADV ijassa-1301 305 7 , , PUNCT ijassa-1301 305 8 i.e. i.e. X ijassa-1301 305 9 if if SCONJ ijassa-1301 305 10 the the DET ijassa-1301 305 11 condition𝑧 condition𝑧 NOUN ijassa-1301 305 12 ( ( PUNCT ijassa-1301 305 13 𝑑 𝑑 PROPN ijassa-1301 305 14 ) ) PUNCT ijassa-1301 305 15 ≀ ≀ NUM ijassa-1301 305 16 οΏ½ οΏ½ PROPN ijassa-1301 305 17 Μƒ Μƒ PROPN ijassa-1301 305 18 οΏ½ οΏ½ PROPN ijassa-1301 305 19 (πœ‡ (πœ‡ PROPN ijassa-1301 305 20 , , PUNCT ijassa-1301 305 21 πœ† πœ† NOUN ijassa-1301 305 22 ) ) PUNCT ijassa-1301 305 23 , , PUNCT ijassa-1301 305 24 𝑖 𝑖 SYM ijassa-1301 305 25 = = SYM ijassa-1301 305 26 0 0 NUM ijassa-1301 305 27 , , PUNCT ijassa-1301 305 28 1 1 NUM ijassa-1301 305 29 , , PUNCT ijassa-1301 305 30 . . PUNCT ijassa-1301 305 31 . . PUNCT ijassa-1301 306 1 . . PUNCT ijassa-1301 307 1 , , PUNCT ijassa-1301 307 2 π‘š π‘š PROPN ijassa-1301 307 3 + + ADJ ijassa-1301 307 4 1 1 NUM ijassa-1301 307 5 and and CCONJ ijassa-1301 307 6 βˆƒ βˆƒ PROPN ijassa-1301 307 7 πš€Μ… πš€Μ… PROPN ijassa-1301 307 8 ∈ ∈ PROPN ijassa-1301 307 9 { { PUNCT ijassa-1301 307 10 0 0 NUM ijassa-1301 307 11 , , PUNCT ijassa-1301 307 12 1 1 NUM ijassa-1301 307 13 , , PUNCT ijassa-1301 307 14 . . PUNCT ijassa-1301 307 15 . . PUNCT ijassa-1301 307 16 . . PUNCT ijassa-1301 308 1 . . PUNCT ijassa-1301 309 1 , , PUNCT ijassa-1301 310 1 π‘š π‘š X ijassa-1301 310 2 + + ADJ ijassa-1301 310 3 1 1 NUM ijassa-1301 310 4 } } PUNCT ijassa-1301 310 5 such such ADJ ijassa-1301 310 6 that that SCONJ ijassa-1301 310 7 𝑧 𝑧 PRON ijassa-1301 310 8 Μ…(𝑑 Μ…(𝑑 PROPN ijassa-1301 310 9 ) ) PUNCT ijassa-1301 310 10 < < X ijassa-1301 310 11 οΏ½ οΏ½ PROPN ijassa-1301 310 12 Μƒ Μƒ PROPN ijassa-1301 310 13 οΏ½ οΏ½ PROPN ijassa-1301 310 14 (πœ‡ (πœ‡ PROPN ijassa-1301 310 15 , , PUNCT ijassa-1301 310 16 πœ† πœ† X ijassa-1301 310 17 ) ) PUNCT ijassa-1301 310 18 is be AUX ijassa-1301 310 19 met meet VERB ijassa-1301 310 20 , , PUNCT ijassa-1301 310 21 then then ADV ijassa-1301 310 22 the the DET ijassa-1301 310 23 solution solution NOUN ijassa-1301 310 24 of of ADP ijassa-1301 310 25 the the DET ijassa-1301 310 26 system system NOUN ijassa-1301 310 27 ( ( PUNCT ijassa-1301 310 28 2.12)–(2.15 2.12)–(2.15 X ijassa-1301 310 29 ) ) PUNCT ijassa-1301 310 30 converges converge VERB ijassa-1301 310 31 to to ADP ijassa-1301 310 32 one one NUM ijassa-1301 310 33 of of ADP ijassa-1301 310 34 the the DET ijassa-1301 310 35 stationary stationary ADJ ijassa-1301 310 36 solutions solution NOUN ijassa-1301 310 37 ( ( PUNCT ijassa-1301 310 38 5.2 5.2 NUM ijassa-1301 310 39 ) ) PUNCT ijassa-1301 310 40 . . PUNCT ijassa-1301 311 1 β–‘ β–‘ PUNCT ijassa-1301 311 2 6 6 NUM ijassa-1301 311 3 . . X ijassa-1301 311 4 conclusion conclusion NOUN ijassa-1301 311 5 this this DET ijassa-1301 311 6 article article NOUN ijassa-1301 311 7 presents present VERB ijassa-1301 311 8 a a DET ijassa-1301 311 9 model model NOUN ijassa-1301 311 10 of of ADP ijassa-1301 311 11 organization organization NOUN ijassa-1301 311 12 of of ADP ijassa-1301 311 13 cargo cargo NOUN ijassa-1301 311 14 transportation transportation NOUN ijassa-1301 311 15 between between ADP ijassa-1301 311 16 two two NUM ijassa-1301 311 17 nodal nodal NOUN ijassa-1301 311 18 stations station NOUN ijassa-1301 311 19 , , PUNCT ijassa-1301 311 20 described describe VERB ijassa-1301 311 21 by by ADP ijassa-1301 311 22 a a DET ijassa-1301 311 23 system system NOUN ijassa-1301 311 24 of of ADP ijassa-1301 311 25 differential differential ADJ ijassa-1301 311 26 equations equation NOUN ijassa-1301 311 27 with with ADP ijassa-1301 311 28 a a DET ijassa-1301 311 29 number number NOUN ijassa-1301 311 30 of of ADP ijassa-1301 311 31 parameters parameter NOUN ijassa-1301 311 32 that that PRON ijassa-1301 311 33 define define VERB ijassa-1301 311 34 the the DET ijassa-1301 311 35 characteristics characteristic NOUN ijassa-1301 311 36 of of ADP ijassa-1301 311 37 demand demand NOUN ijassa-1301 311 38 for for ADP ijassa-1301 311 39 cargo cargo NOUN ijassa-1301 311 40 transportation transportation NOUN ijassa-1301 311 41 , , PUNCT ijassa-1301 311 42 the the DET ijassa-1301 311 43 degree degree NOUN ijassa-1301 311 44 of of ADP ijassa-1301 311 45 use use NOUN ijassa-1301 311 46 of of ADP ijassa-1301 311 47 the the DET ijassa-1301 311 48 technical technical ADJ ijassa-1301 311 49 potential potential NOUN ijassa-1301 311 50 of of ADP ijassa-1301 311 51 the the DET ijassa-1301 311 52 stations station NOUN ijassa-1301 311 53 and and CCONJ ijassa-1301 311 54 the the DET ijassa-1301 311 55 mode mode NOUN ijassa-1301 311 56 of of ADP ijassa-1301 311 57 cargo cargo NOUN ijassa-1301 311 58 distribution distribution NOUN ijassa-1301 311 59 from from ADP ijassa-1301 311 60 the the DET ijassa-1301 311 61 final final ADJ ijassa-1301 311 62 nodal nodal NOUN ijassa-1301 311 63 station station NOUN ijassa-1301 311 64 . . PUNCT ijassa-1301 312 1 the the DET ijassa-1301 312 2 ranges range NOUN ijassa-1301 312 3 of of ADP ijassa-1301 312 4 parameter parameter NOUN ijassa-1301 312 5 changes change NOUN ijassa-1301 312 6 under under ADP ijassa-1301 312 7 which which PRON ijassa-1301 312 8 the the DET ijassa-1301 312 9 cargo cargo NOUN ijassa-1301 312 10 transportation transportation NOUN ijassa-1301 312 11 system system NOUN ijassa-1301 312 12 can can AUX ijassa-1301 312 13 function function VERB ijassa-1301 312 14 smoothly smoothly ADV ijassa-1301 312 15 are be AUX ijassa-1301 312 16 determined determine VERB ijassa-1301 312 17 . . PUNCT ijassa-1301 313 1 for for ADP ijassa-1301 313 2 a a DET ijassa-1301 313 3 given give VERB ijassa-1301 313 4 value value NOUN ijassa-1301 313 5 of of ADP ijassa-1301 313 6 the the DET ijassa-1301 313 7 demand demand NOUN ijassa-1301 313 8 characteristics characteristic NOUN ijassa-1301 313 9 for for ADP ijassa-1301 313 10 cargo cargo NOUN ijassa-1301 313 11 transportation transportation NOUN ijassa-1301 313 12 , , PUNCT ijassa-1301 313 13 by by ADP ijassa-1301 313 14 controlling control VERB ijassa-1301 313 15 the the DET ijassa-1301 313 16 degree degree NOUN ijassa-1301 313 17 of of ADP ijassa-1301 313 18 use use NOUN ijassa-1301 313 19 of of ADP ijassa-1301 313 20 the the DET ijassa-1301 313 21 technical technical ADJ ijassa-1301 313 22 potential potential NOUN ijassa-1301 313 23 of of ADP ijassa-1301 313 24 the the DET ijassa-1301 313 25 stations station NOUN ijassa-1301 313 26 and and CCONJ ijassa-1301 313 27 the the DET ijassa-1301 313 28 mode mode NOUN ijassa-1301 313 29 of of ADP ijassa-1301 313 30 cargo cargo NOUN ijassa-1301 313 31 distribution distribution NOUN ijassa-1301 313 32 from from ADP ijassa-1301 313 33 the the DET ijassa-1301 313 34 final final ADJ ijassa-1301 313 35 node node NOUN ijassa-1301 313 36 station station NOUN ijassa-1301 313 37 , , PUNCT ijassa-1301 313 38 the the DET ijassa-1301 313 39 most most ADV ijassa-1301 313 40 acceptable acceptable ADJ ijassa-1301 313 41 achievable achievable ADJ ijassa-1301 313 42 levels level NOUN ijassa-1301 313 43 of of ADP ijassa-1301 313 44 the the DET ijassa-1301 313 45 degree degree NOUN ijassa-1301 313 46 of of ADP ijassa-1301 313 47 inconsistency inconsistency NOUN ijassa-1301 313 48 between between ADP ijassa-1301 313 49 the the DET ijassa-1301 313 50 reception reception NOUN ijassa-1301 313 51 and and CCONJ ijassa-1301 313 52 dispatch dispatch NOUN ijassa-1301 313 53 of of ADP ijassa-1301 313 54 goods good NOUN ijassa-1301 313 55 at at ADP ijassa-1301 313 56 all all DET ijassa-1301 313 57 stations station NOUN ijassa-1301 313 58 are be AUX ijassa-1301 313 59 established establish VERB ijassa-1301 313 60 . . PUNCT ijassa-1301 314 1 references reference NOUN ijassa-1301 314 2 [ [ X ijassa-1301 314 3 1 1 NUM ijassa-1301 314 4 ] ] X ijassa-1301 314 5 beklaryan beklaryan PROPN ijassa-1301 314 6 l.a l.a PROPN ijassa-1301 314 7 . . PROPN ijassa-1301 314 8 & & CCONJ ijassa-1301 314 9 khachatryan khachatryan VERB ijassa-1301 314 10 n.k n.k PROPN ijassa-1301 314 11 . . PUNCT ijassa-1301 314 12 ( ( PUNCT ijassa-1301 314 13 2006 2006 NUM ijassa-1301 314 14 ) ) PUNCT ijassa-1301 314 15 . . PUNCT ijassa-1301 315 1 traveling travel VERB ijassa-1301 315 2 wave wave NOUN ijassa-1301 315 3 type type NOUN ijassa-1301 315 4 solutions solution NOUN ijassa-1301 315 5 in in ADP ijassa-1301 315 6 dynamic dynamic ADJ ijassa-1301 315 7 transport transport NOUN ijassa-1301 315 8 models model NOUN ijassa-1301 315 9 , , PUNCT ijassa-1301 315 10 functional functional ADJ ijassa-1301 315 11 differential differential NOUN ijassa-1301 315 12 equations equation NOUN ijassa-1301 315 13 , , PUNCT ijassa-1301 315 14 13(12 13(12 NUM ijassa-1301 315 15 ) ) PUNCT ijassa-1301 315 16 , , PUNCT ijassa-1301 315 17 125–155 125–155 NUM ijassa-1301 315 18 . . PUNCT ijassa-1301 316 1 [ [ X ijassa-1301 316 2 2 2 NUM ijassa-1301 316 3 ] ] X ijassa-1301 316 4 beklaryan beklaryan PROPN ijassa-1301 316 5 l.a l.a PROPN ijassa-1301 316 6 . . PROPN ijassa-1301 316 7 & & CCONJ ijassa-1301 316 8 khachatryan khachatryan VERB ijassa-1301 316 9 n.k n.k PROPN ijassa-1301 316 10 . . PROPN ijassa-1301 317 1 ( ( PUNCT ijassa-1301 317 2 2013 2013 NUM ijassa-1301 317 3 ) ) PUNCT ijassa-1301 317 4 . . PUNCT ijassa-1301 318 1 on on ADP ijassa-1301 318 2 one one NUM ijassa-1301 318 3 class class NOUN ijassa-1301 318 4 of of ADP ijassa-1301 318 5 dynamic dynamic ADJ ijassa-1301 318 6 transportation transportation NOUN ijassa-1301 318 7 models model NOUN ijassa-1301 318 8 , , PUNCT ijassa-1301 318 9 computational computational ADJ ijassa-1301 318 10 mathematics mathematic NOUN ijassa-1301 318 11 and and CCONJ ijassa-1301 318 12 mathematical mathematical ADJ ijassa-1301 318 13 physics physics NOUN ijassa-1301 318 14 , , PUNCT ijassa-1301 318 15 53(10 53(10 NUM ijassa-1301 318 16 ) ) PUNCT ijassa-1301 318 17 , , PUNCT ijassa-1301 318 18 1466–1482 1466–1482 NUM ijassa-1301 318 19 , , PUNCT ijassa-1301 318 20 https://doi.org/10.1134/s0965542513100035 https://doi.org/10.1134/s0965542513100035 NUM ijassa-1301 318 21 . . PUNCT ijassa-1301 318 22 90 90 NUM ijassa-1301 318 23 n.k n.k NOUN ijassa-1301 318 24 . . NOUN ijassa-1301 318 25 khachatryan khachatryan PROPN ijassa-1301 318 26 copyright copyright NOUN ijassa-1301 319 1 Β© Β© PROPN ijassa-1301 319 2 0000 0000 NUM ijassa-1301 319 3 assa assa PROPN ijassa-1301 319 4 adv adv PROPN ijassa-1301 319 5 . . PUNCT ijassa-1301 320 1 in in ADP ijassa-1301 320 2 systems system NOUN ijassa-1301 320 3 science science NOUN ijassa-1301 320 4 and and CCONJ ijassa-1301 320 5 appl appl NOUN ijassa-1301 320 6 . . PUNCT ijassa-1301 321 1 ( ( PUNCT ijassa-1301 321 2 0000 0000 NUM ijassa-1301 321 3 ) ) PUNCT ijassa-1301 322 1 [ [ X ijassa-1301 322 2 3 3 NUM ijassa-1301 322 3 ] ] X ijassa-1301 322 4 beklaryan beklaryan PROPN ijassa-1301 322 5 l.a l.a PROPN ijassa-1301 322 6 . . PROPN ijassa-1301 322 7 , , PUNCT ijassa-1301 322 8 khachatryan khachatryan VERB ijassa-1301 322 9 n.k n.k PROPN ijassa-1301 322 10 . . PROPN ijassa-1301 322 11 & & CCONJ ijassa-1301 322 12 akopov akopov PROPN ijassa-1301 322 13 a.s a.s PROPN ijassa-1301 322 14 . . PROPN ijassa-1301 322 15 ( ( PUNCT ijassa-1301 322 16 2019 2019 NUM ijassa-1301 322 17 ) ) PUNCT ijassa-1301 322 18 . . PUNCT ijassa-1301 323 1 model model NOUN ijassa-1301 323 2 for for ADP ijassa-1301 323 3 organization organization NOUN ijassa-1301 323 4 cargo cargo NOUN ijassa-1301 323 5 transportation transportation NOUN ijassa-1301 323 6 at at ADP ijassa-1301 323 7 resource resource NOUN ijassa-1301 323 8 restrictions restriction NOUN ijassa-1301 323 9 . . PUNCT ijassa-1301 324 1 international international ADJ ijassa-1301 324 2 journal journal NOUN ijassa-1301 324 3 of of ADP ijassa-1301 324 4 applied apply VERB ijassa-1301 324 5 mathematics mathematic NOUN ijassa-1301 324 6 , , PUNCT ijassa-1301 324 7 32(4 32(4 NUM ijassa-1301 324 8 ) ) PUNCT ijassa-1301 324 9 , , PUNCT ijassa-1301 324 10 627–640 627–640 NUM ijassa-1301 324 11 , , PUNCT ijassa-1301 324 12 http://dx.doi.org/10.12732//ijam.v32i4.7 http://dx.doi.org/10.12732//ijam.v32i4.7 PROPN ijassa-1301 324 13 . . PUNCT ijassa-1301 325 1 [ [ X ijassa-1301 325 2 4 4 X ijassa-1301 325 3 ] ] PUNCT ijassa-1301 325 4 belousov belousov PROPN ijassa-1301 325 5 f.a f.a PROPN ijassa-1301 325 6 . . PROPN ijassa-1301 325 7 , , PUNCT ijassa-1301 325 8 nevolin nevolin PROPN ijassa-1301 325 9 i.v i.v PROPN ijassa-1301 325 10 . . PROPN ijassa-1301 325 11 & & CCONJ ijassa-1301 325 12 khachatryan khachatryan VERB ijassa-1301 325 13 n.k n.k PROPN ijassa-1301 325 14 . . PUNCT ijassa-1301 325 15 ( ( PUNCT ijassa-1301 325 16 2020 2020 NUM ijassa-1301 325 17 ) ) PUNCT ijassa-1301 325 18 . . PUNCT ijassa-1301 326 1 modeling modeling NOUN ijassa-1301 326 2 and and CCONJ ijassa-1301 326 3 optimization optimization NOUN ijassa-1301 326 4 of of ADP ijassa-1301 326 5 plans plan NOUN ijassa-1301 326 6 for for ADP ijassa-1301 326 7 railway railway NOUN ijassa-1301 326 8 freight freight NOUN ijassa-1301 326 9 transport transport NOUN ijassa-1301 326 10 performed perform VERB ijassa-1301 326 11 by by ADP ijassa-1301 326 12 a a DET ijassa-1301 326 13 transport transport NOUN ijassa-1301 326 14 operator operator NOUN ijassa-1301 326 15 , , PUNCT ijassa-1301 326 16 business business NOUN ijassa-1301 326 17 informatics informatic NOUN ijassa-1301 326 18 , , PUNCT ijassa-1301 326 19 14(2 14(2 NUM ijassa-1301 326 20 ) ) PUNCT ijassa-1301 326 21 , , PUNCT ijassa-1301 326 22 21–35 21–35 NUM ijassa-1301 326 23 , , PUNCT ijassa-1301 326 24 https://doi.org/10.17323/2587-814x https://doi.org/10.17323/2587-814x PROPN ijassa-1301 326 25 . . PUNCT ijassa-1301 326 26 2020.2.21.35 2020.2.21.35 PROPN ijassa-1301 326 27 . . PUNCT ijassa-1301 327 1 [ [ X ijassa-1301 327 2 5 5 X ijassa-1301 327 3 ] ] PUNCT ijassa-1301 327 4 brackstone brackstone NOUN ijassa-1301 327 5 , , PUNCT ijassa-1301 327 6 m. m. NOUN ijassa-1301 327 7 & & CCONJ ijassa-1301 327 8 mcdonald mcdonald PROPN ijassa-1301 327 9 m. m. PROPN ijassa-1301 327 10 ( ( PUNCT ijassa-1301 327 11 1999 1999 NUM ijassa-1301 327 12 ) ) PUNCT ijassa-1301 327 13 . . PUNCT ijassa-1301 328 1 car car NOUN ijassa-1301 328 2 following follow VERB ijassa-1301 328 3 : : PUNCT ijassa-1301 328 4 a a DET ijassa-1301 328 5 historical historical ADJ ijassa-1301 328 6 review review NOUN ijassa-1301 328 7 , , PUNCT ijassa-1301 328 8 transportation transportation NOUN ijassa-1301 328 9 research research NOUN ijassa-1301 328 10 part part NOUN ijassa-1301 329 1 f f NOUN ijassa-1301 329 2 : : PUNCT ijassa-1301 329 3 traffic traffic NOUN ijassa-1301 329 4 psychology psychology NOUN ijassa-1301 329 5 and and CCONJ ijassa-1301 329 6 behavior behavior NOUN ijassa-1301 329 7 , , PUNCT ijassa-1301 329 8 2 2 NUM ijassa-1301 329 9 , , PUNCT ijassa-1301 329 10 181–196 181–196 NUM ijassa-1301 329 11 . . PUNCT ijassa-1301 330 1 [ [ X ijassa-1301 330 2 6 6 NUM ijassa-1301 330 3 ] ] X ijassa-1301 330 4 daganzo daganzo NOUN ijassa-1301 330 5 , , PUNCT ijassa-1301 330 6 c.f c.f PROPN ijassa-1301 330 7 . . PROPN ijassa-1301 330 8 ( ( PUNCT ijassa-1301 330 9 1994 1994 NUM ijassa-1301 330 10 ) ) PUNCT ijassa-1301 330 11 . . PUNCT ijassa-1301 331 1 the the DET ijassa-1301 331 2 cell cell NOUN ijassa-1301 331 3 transmission transmission NOUN ijassa-1301 331 4 model model NOUN ijassa-1301 331 5 : : PUNCT ijassa-1301 331 6 a a DET ijassa-1301 331 7 dynamic dynamic ADJ ijassa-1301 331 8 representation representation NOUN ijassa-1301 331 9 of of ADP ijassa-1301 331 10 highway highway NOUN ijassa-1301 331 11 traffic traffic NOUN ijassa-1301 331 12 consistent consistent ADJ ijassa-1301 331 13 with with ADP ijassa-1301 331 14 the the DET ijassa-1301 331 15 hydrodynamic hydrodynamic ADJ ijassa-1301 331 16 theory theory NOUN ijassa-1301 331 17 , , PUNCT ijassa-1301 331 18 transportation transportation NOUN ijassa-1301 331 19 research research NOUN ijassa-1301 331 20 part part NOUN ijassa-1301 331 21 b b NOUN ijassa-1301 331 22 : : PUNCT ijassa-1301 331 23 methodological methodological ADJ ijassa-1301 331 24 , , PUNCT ijassa-1301 331 25 28 28 NUM ijassa-1301 331 26 , , PUNCT ijassa-1301 331 27 269–287 269–287 NUM ijassa-1301 331 28 . . PUNCT ijassa-1301 332 1 [ [ X ijassa-1301 332 2 7 7 NUM ijassa-1301 332 3 ] ] X ijassa-1301 332 4 daganzo daganzo NOUN ijassa-1301 332 5 , , PUNCT ijassa-1301 332 6 c.f c.f PROPN ijassa-1301 332 7 . . PROPN ijassa-1301 332 8 ( ( PUNCT ijassa-1301 332 9 1995 1995 NUM ijassa-1301 332 10 ) ) PUNCT ijassa-1301 332 11 . . PUNCT ijassa-1301 333 1 the the DET ijassa-1301 333 2 cell cell NOUN ijassa-1301 333 3 transmission transmission NOUN ijassa-1301 333 4 model model NOUN ijassa-1301 333 5 . . PUNCT ijassa-1301 334 1 part part PROPN ijassa-1301 334 2 ii ii PROPN ijassa-1301 334 3 : : PUNCT ijassa-1301 334 4 network network NOUN ijassa-1301 334 5 traffic traffic NOUN ijassa-1301 334 6 , , PUNCT ijassa-1301 334 7 transportation transportation NOUN ijassa-1301 334 8 research research NOUN ijassa-1301 334 9 part part NOUN ijassa-1301 334 10 b b NOUN ijassa-1301 334 11 : : PUNCT ijassa-1301 334 12 methodological methodological ADJ ijassa-1301 334 13 , , PUNCT ijassa-1301 334 14 29(2 29(2 NUM ijassa-1301 334 15 ) ) PUNCT ijassa-1301 334 16 , , PUNCT ijassa-1301 334 17 79–93 79–93 X ijassa-1301 334 18 . . PUNCT ijassa-1301 335 1 [ [ X ijassa-1301 335 2 8 8 NUM ijassa-1301 335 3 ] ] X ijassa-1301 335 4 ferreira ferreira PROPN ijassa-1301 335 5 l. l. PROPN ijassa-1301 335 6 , , PUNCT ijassa-1301 335 7 murray murray PROPN ijassa-1301 335 8 m.h m.h PROPN ijassa-1301 335 9 . . PROPN ijassa-1301 335 10 ( ( PUNCT ijassa-1301 335 11 1997 1997 NUM ijassa-1301 335 12 ) ) PUNCT ijassa-1301 335 13 . . PUNCT ijassa-1301 336 1 modelling model VERB ijassa-1301 336 2 rail rail NOUN ijassa-1301 336 3 track track NOUN ijassa-1301 336 4 deterioration deterioration NOUN ijassa-1301 336 5 and and CCONJ ijassa-1301 336 6 maintenance maintenance NOUN ijassa-1301 336 7 : : PUNCT ijassa-1301 336 8 current current ADJ ijassa-1301 336 9 practices practice NOUN ijassa-1301 336 10 and and CCONJ ijassa-1301 336 11 future future ADJ ijassa-1301 336 12 needs need NOUN ijassa-1301 336 13 , , PUNCT ijassa-1301 336 14 transport transport NOUN ijassa-1301 336 15 reviews review NOUN ijassa-1301 336 16 , , PUNCT ijassa-1301 336 17 17(3 17(3 NUM ijassa-1301 336 18 ) ) PUNCT ijassa-1301 336 19 , , PUNCT ijassa-1301 336 20 207 207 NUM ijassa-1301 336 21 – – PUNCT ijassa-1301 336 22 221 221 NUM ijassa-1301 336 23 . . PUNCT ijassa-1301 337 1 [ [ X ijassa-1301 337 2 9 9 NUM ijassa-1301 337 3 ] ] X ijassa-1301 337 4 gasnikov gasnikov PROPN ijassa-1301 337 5 a.v a.v PROPN ijassa-1301 337 6 , , PUNCT ijassa-1301 337 7 klenov klenov PROPN ijassa-1301 337 8 s. s. PROPN ijassa-1301 337 9 l. l. PROPN ijassa-1301 337 10 , , PUNCT ijassa-1301 337 11 nurminskii nurminskii PROPN ijassa-1301 337 12 e. e. PROPN ijassa-1301 337 13 a. a. PROPN ijassa-1301 337 14 , , PUNCT ijassa-1301 337 15 kholodov kholodov PROPN ijassa-1301 337 16 ya.a ya.a PROPN ijassa-1301 337 17 . . PUNCT ijassa-1301 337 18 & & CCONJ ijassa-1301 337 19 shamrai shamrai PROPN ijassa-1301 337 20 n.b n.b PROPN ijassa-1301 337 21 ( ( PUNCT ijassa-1301 337 22 2013 2013 NUM ijassa-1301 337 23 ) ) PUNCT ijassa-1301 337 24 . . PUNCT ijassa-1301 338 1 introduction introduction NOUN ijassa-1301 338 2 to to ADP ijassa-1301 338 3 mathematical mathematical ADJ ijassa-1301 338 4 model model NOUN ijassa-1301 338 5 operation operation NOUN ijassa-1301 338 6 of of ADP ijassa-1301 338 7 traffic traffic NOUN ijassa-1301 338 8 flows flow NOUN ijassa-1301 338 9 , , PUNCT ijassa-1301 338 10 moscow moscow PROPN ijassa-1301 338 11 : : PUNCT ijassa-1301 338 12 mccme mccme NOUN ijassa-1301 338 13 ( ( PUNCT ijassa-1301 338 14 in in ADP ijassa-1301 338 15 russian russian NOUN ijassa-1301 338 16 ) ) PUNCT ijassa-1301 338 17 . . PUNCT ijassa-1301 339 1 [ [ X ijassa-1301 339 2 10 10 NUM ijassa-1301 339 3 ] ] X ijassa-1301 339 4 galaburda galaburda NOUN ijassa-1301 339 5 v.g v.g PROPN ijassa-1301 339 6 . . PROPN ijassa-1301 340 1 ( ( PUNCT ijassa-1301 340 2 1985 1985 NUM ijassa-1301 340 3 ) ) PUNCT ijassa-1301 340 4 . . PUNCT ijassa-1301 341 1 optimal optimal ADJ ijassa-1301 341 2 planning planning NOUN ijassa-1301 341 3 of of ADP ijassa-1301 341 4 cargo cargo NOUN ijassa-1301 341 5 traffic traffic NOUN ijassa-1301 341 6 . . PUNCT ijassa-1301 342 1 [ [ X ijassa-1301 342 2 optimal’noe optimal’noe ADJ ijassa-1301 342 3 planirovanie planirovanie NOUN ijassa-1301 342 4 gruzopotokov gruzopotokov PROPN ijassa-1301 342 5 . . PUNCT ijassa-1301 342 6 ] ] PUNCT ijassa-1301 343 1 moscow moscow PROPN ijassa-1301 343 2 : : PUNCT ijassa-1301 343 3 transport transport NOUN ijassa-1301 343 4 ( ( PUNCT ijassa-1301 343 5 in in ADP ijassa-1301 343 6 russian russian NOUN ijassa-1301 343 7 ) ) PUNCT ijassa-1301 343 8 . . PUNCT ijassa-1301 344 1 [ [ X ijassa-1301 344 2 11 11 NUM ijassa-1301 344 3 ] ] PUNCT ijassa-1301 344 4 higgins higgins PROPN ijassa-1301 344 5 a. a. PROPN ijassa-1301 344 6 , , PUNCT ijassa-1301 344 7 ferreira ferreira PROPN ijassa-1301 344 8 l. l. PROPN ijassa-1301 344 9 & & CCONJ ijassa-1301 344 10 kozan kozan PROPN ijassa-1301 344 11 e. e. PROPN ijassa-1301 344 12 ( ( PUNCT ijassa-1301 344 13 1995 1995 NUM ijassa-1301 344 14 ) ) PUNCT ijassa-1301 344 15 . . PUNCT ijassa-1301 345 1 modeling model VERB ijassa-1301 345 2 single single ADJ ijassa-1301 345 3 - - PUNCT ijassa-1301 345 4 line line NOUN ijassa-1301 345 5 train train NOUN ijassa-1301 345 6 operations operation NOUN ijassa-1301 345 7 , , PUNCT ijassa-1301 345 8 transportation transportation NOUN ijassa-1301 345 9 research research NOUN ijassa-1301 345 10 record record NOUN ijassa-1301 345 11 , , PUNCT ijassa-1301 345 12 1489 1489 NUM ijassa-1301 345 13 , , PUNCT ijassa-1301 345 14 9–16 9–16 NOUN ijassa-1301 345 15 . . PUNCT ijassa-1301 346 1 [ [ X ijassa-1301 346 2 12 12 NUM ijassa-1301 346 3 ] ] X ijassa-1301 346 4 khachatryan khachatryan ADJ ijassa-1301 346 5 , , PUNCT ijassa-1301 346 6 n.k n.k PROPN ijassa-1301 346 7 . . PROPN ijassa-1301 346 8 ( ( PUNCT ijassa-1301 346 9 2013 2013 NUM ijassa-1301 346 10 ) ) PUNCT ijassa-1301 346 11 . . PUNCT ijassa-1301 347 1 dinamicheskaya dinamicheskaya PROPN ijassa-1301 347 2 model model PROPN ijassa-1301 347 3 ' ' PART ijassa-1301 347 4 organizatsii organizatsii ADJ ijassa-1301 347 5 gruzoperevozok gruzoperevozok NOUN ijassa-1301 347 6 pri pri NOUN ijassa-1301 347 7 ogranichennosti ogranichennosti NOUN ijassa-1301 347 8 emkostey emkostey PROPN ijassa-1301 347 9 peregonnykh peregonnykh VERB ijassa-1301 347 10 putey putey NOUN ijassa-1301 348 1 [ [ X ijassa-1301 348 2 dynamic dynamic ADJ ijassa-1301 348 3 model model NOUN ijassa-1301 348 4 of of ADP ijassa-1301 348 5 organization organization NOUN ijassa-1301 348 6 of of ADP ijassa-1301 348 7 cargo cargo NOUN ijassa-1301 348 8 transportation transportation NOUN ijassa-1301 348 9 with with ADP ijassa-1301 348 10 a a DET ijassa-1301 348 11 limited limited ADJ ijassa-1301 348 12 caracity caracity NOUN ijassa-1301 348 13 of of ADP ijassa-1301 348 14 the the DET ijassa-1301 348 15 distillation distillation NOUN ijassa-1301 348 16 ways way NOUN ijassa-1301 348 17 ] ] PUNCT ijassa-1301 348 18 biznes bizne NOUN ijassa-1301 348 19 - - PUNCT ijassa-1301 348 20 informatika informatika NOUN ijassa-1301 348 21 , , PUNCT ijassa-1301 348 22 26(4 26(4 NUM ijassa-1301 348 23 ) ) PUNCT ijassa-1301 348 24 , , PUNCT ijassa-1301 348 25 62–68 62–68 NUM ijassa-1301 349 1 [ [ X ijassa-1301 349 2 in in ADP ijassa-1301 349 3 russian russian PROPN ijassa-1301 349 4 ] ] PUNCT ijassa-1301 349 5 . . PUNCT ijassa-1301 350 1 [ [ X ijassa-1301 350 2 13 13 NUM ijassa-1301 350 3 ] ] PUNCT ijassa-1301 350 4 khachatryan khachatryan ADJ ijassa-1301 350 5 n.k n.k PROPN ijassa-1301 350 6 . . PROPN ijassa-1301 350 7 , , PUNCT ijassa-1301 350 8 akopov akopov PROPN ijassa-1301 350 9 a.s a.s PROPN ijassa-1301 350 10 . . PROPN ijassa-1301 350 11 ( ( PUNCT ijassa-1301 350 12 2017 2017 NUM ijassa-1301 350 13 ) ) PUNCT ijassa-1301 350 14 . . PUNCT ijassa-1301 351 1 model model NOUN ijassa-1301 351 2 for for ADP ijassa-1301 351 3 organizing organize VERB ijassa-1301 351 4 cargo cargo NOUN ijassa-1301 351 5 transportation transportation NOUN ijassa-1301 351 6 with with ADP ijassa-1301 351 7 an an DET ijassa-1301 351 8 initial initial ADJ ijassa-1301 351 9 station station NOUN ijassa-1301 351 10 of of ADP ijassa-1301 351 11 departure departure NOUN ijassa-1301 351 12 and and CCONJ ijassa-1301 351 13 a a DET ijassa-1301 351 14 final final ADJ ijassa-1301 351 15 station station NOUN ijassa-1301 351 16 of of ADP ijassa-1301 351 17 cargo cargo NOUN ijassa-1301 351 18 distribution distribution NOUN ijassa-1301 351 19 , , PUNCT ijassa-1301 351 20 business business NOUN ijassa-1301 351 21 informatics informatic NOUN ijassa-1301 351 22 , , PUNCT ijassa-1301 351 23 1 1 NUM ijassa-1301 351 24 , , PUNCT ijassa-1301 351 25 25–35 25–35 NUM ijassa-1301 351 26 , , PUNCT ijassa-1301 351 27 https://doi.org/10.17323/19980663.2017.1.25.35 https://doi.org/10.17323/19980663.2017.1.25.35 NOUN ijassa-1301 351 28 . . PUNCT ijassa-1301 352 1 [ [ X ijassa-1301 352 2 14 14 NUM ijassa-1301 352 3 ] ] PUNCT ijassa-1301 352 4 khachatryan khachatryan ADJ ijassa-1301 352 5 n.k n.k PROPN ijassa-1301 352 6 . . PROPN ijassa-1301 352 7 , , PUNCT ijassa-1301 352 8 akopov akopov PROPN ijassa-1301 352 9 a.s a.s PROPN ijassa-1301 352 10 . . PROPN ijassa-1301 352 11 & & CCONJ ijassa-1301 352 12 belousov belousov PROPN ijassa-1301 352 13 f.a f.a PROPN ijassa-1301 352 14 . . PROPN ijassa-1301 352 15 ( ( PUNCT ijassa-1301 352 16 2018 2018 NUM ijassa-1301 352 17 ) ) PUNCT ijassa-1301 352 18 . . PUNCT ijassa-1301 353 1 about about ADP ijassa-1301 353 2 quasisolutions quasisolution NOUN ijassa-1301 353 3 of of ADP ijassa-1301 353 4 traveling travel VERB ijassa-1301 353 5 wave wave NOUN ijassa-1301 353 6 type type NOUN ijassa-1301 353 7 in in ADP ijassa-1301 353 8 models model NOUN ijassa-1301 353 9 for for ADP ijassa-1301 353 10 organizing organize VERB ijassa-1301 353 11 cargo cargo NOUN ijassa-1301 353 12 transportation transportation NOUN ijassa-1301 353 13 , , PUNCT ijassa-1301 353 14 business business NOUN ijassa-1301 353 15 informatics informatic NOUN ijassa-1301 353 16 , , PUNCT ijassa-1301 353 17 43(1 43(1 NOUN ijassa-1301 353 18 ) ) PUNCT ijassa-1301 353 19 , , PUNCT ijassa-1301 353 20 61–70 61–70 PROPN ijassa-1301 353 21 , , PUNCT ijassa-1301 353 22 https://doi.org/10.17323/19980663.2018.1.61.70 https://doi.org/10.17323/19980663.2018.1.61.70 X ijassa-1301 353 23 [ [ X ijassa-1301 353 24 15 15 NUM ijassa-1301 353 25 ] ] X ijassa-1301 353 26 khachatryan khachatryan ADJ ijassa-1301 353 27 n.k n.k PROPN ijassa-1301 353 28 . . PROPN ijassa-1301 353 29 , , PUNCT ijassa-1301 353 30 beklaryan beklaryan PROPN ijassa-1301 353 31 g.l g.l PROPN ijassa-1301 353 32 . . PROPN ijassa-1301 353 33 , , PUNCT ijassa-1301 353 34 borisova borisova PROPN ijassa-1301 353 35 s.v s.v PROPN ijassa-1301 353 36 . . PROPN ijassa-1301 353 37 & & CCONJ ijassa-1301 353 38 belousov belousov PROPN ijassa-1301 353 39 f.a f.a PROPN ijassa-1301 353 40 . . PROPN ijassa-1301 353 41 ( ( PUNCT ijassa-1301 353 42 2019 2019 NUM ijassa-1301 353 43 ) ) PUNCT ijassa-1301 353 44 . . PUNCT ijassa-1301 354 1 research research NOUN ijassa-1301 354 2 into into ADP ijassa-1301 354 3 the the DET ijassa-1301 354 4 dynamics dynamic NOUN ijassa-1301 354 5 of of ADP ijassa-1301 354 6 railway railway NOUN ijassa-1301 354 7 track track NOUN ijassa-1301 354 8 capacities capacity NOUN ijassa-1301 354 9 in in ADP ijassa-1301 354 10 a a DET ijassa-1301 354 11 model model NOUN ijassa-1301 354 12 for for ADP ijassa-1301 354 13 organizing organize VERB ijassa-1301 354 14 cargo cargo NOUN ijassa-1301 354 15 transportation transportation NOUN ijassa-1301 354 16 between between ADP ijassa-1301 354 17 two two NUM ijassa-1301 354 18 node node ADJ ijassa-1301 354 19 stations station NOUN ijassa-1301 354 20 , , PUNCT ijassa-1301 354 21 business business NOUN ijassa-1301 354 22 informatics informatic NOUN ijassa-1301 354 23 , , PUNCT ijassa-1301 354 24 13(1 13(1 NUM ijassa-1301 354 25 ) ) PUNCT ijassa-1301 354 26 , , PUNCT ijassa-1301 354 27 59 59 NUM ijassa-1301 354 28 – – SYM ijassa-1301 354 29 70 70 NUM ijassa-1301 354 30 , , PUNCT ijassa-1301 354 31 https://doi.org/10.17323/1998-0663.2019.1.59.70 https://doi.org/10.17323/1998-0663.2019.1.59.70 NOUN ijassa-1301 354 32 . . PUNCT ijassa-1301 355 1 [ [ X ijassa-1301 355 2 16 16 NUM ijassa-1301 355 3 ] ] PUNCT ijassa-1301 355 4 khachatryan khachatryan PROPN ijassa-1301 355 5 n. n. PROPN ijassa-1301 355 6 & & CCONJ ijassa-1301 355 7 beklaryan beklaryan PROPN ijassa-1301 355 8 l. l. PROPN ijassa-1301 355 9 ( ( PUNCT ijassa-1301 355 10 2021 2021 NUM ijassa-1301 355 11 ) ) PUNCT ijassa-1301 355 12 . . PUNCT ijassa-1301 356 1 study study NOUN ijassa-1301 356 2 of of ADP ijassa-1301 356 3 flow flow NOUN ijassa-1301 356 4 dynamics dynamic NOUN ijassa-1301 356 5 in in ADP ijassa-1301 356 6 the the DET ijassa-1301 356 7 model model NOUN ijassa-1301 356 8 of of ADP ijassa-1301 356 9 cargo cargo NOUN ijassa-1301 356 10 transportation transportation NOUN ijassa-1301 356 11 organization organization NOUN ijassa-1301 356 12 along along ADP ijassa-1301 356 13 a a DET ijassa-1301 356 14 circular circular ADJ ijassa-1301 356 15 chain chain NOUN ijassa-1301 356 16 of of ADP ijassa-1301 356 17 stations station NOUN ijassa-1301 356 18 , , PUNCT ijassa-1301 356 19 economics economic NOUN ijassa-1301 356 20 and and CCONJ ijassa-1301 356 21 mathematical mathematical ADJ ijassa-1301 356 22 methods method NOUN ijassa-1301 356 23 , , PUNCT ijassa-1301 356 24 57(1 57(1 NUM ijassa-1301 356 25 ) ) PUNCT ijassa-1301 356 26 , , PUNCT ijassa-1301 356 27 83–91 83–91 NUM ijassa-1301 357 1 [ [ X ijassa-1301 357 2 in in ADP ijassa-1301 357 3 russian russian PROPN ijassa-1301 357 4 ] ] X ijassa-1301 357 5 , , PUNCT ijassa-1301 357 6 http://dx.doi.org/10.31857/s042473880013024-5 http://dx.doi.org/10.31857/s042473880013024-5 PROPN ijassa-1301 357 7 . . NOUN ijassa-1301 357 8 bifurcation bifurcation NOUN ijassa-1301 357 9 in in ADP ijassa-1301 357 10 the the DET ijassa-1301 357 11 model model NOUN ijassa-1301 357 12 of of ADP ijassa-1301 357 13 cargo cargo NOUN ijassa-1301 357 14 transportation transportation NOUN ijassa-1301 357 15 organization organization NOUN ijassa-1301 357 16 91 91 NUM ijassa-1301 357 17 copyright copyright NOUN ijassa-1301 357 18 Β© Β© PROPN ijassa-1301 357 19 0000 0000 NUM ijassa-1301 357 20 assa assa NOUN ijassa-1301 357 21 . . PUNCT ijassa-1301 358 1 adv adv PROPN ijassa-1301 358 2 . . PUNCT ijassa-1301 359 1 in in ADP ijassa-1301 359 2 systems system NOUN ijassa-1301 359 3 science science NOUN ijassa-1301 359 4 and and CCONJ ijassa-1301 359 5 appl appl NOUN ijassa-1301 359 6 . . PUNCT ijassa-1301 360 1 ( ( PUNCT ijassa-1301 360 2 0000 0000 NUM ijassa-1301 360 3 ) ) PUNCT ijassa-1301 361 1 [ [ X ijassa-1301 361 2 17 17 NUM ijassa-1301 361 3 ] ] PUNCT ijassa-1301 361 4 khachatryan khachatryan ADJ ijassa-1301 361 5 nerses nerse NOUN ijassa-1301 361 6 k. k. PROPN ijassa-1301 361 7 ( ( PUNCT ijassa-1301 361 8 2020 2020 NUM ijassa-1301 361 9 ) ) PUNCT ijassa-1301 361 10 . . PUNCT ijassa-1301 362 1 study study NOUN ijassa-1301 362 2 of of ADP ijassa-1301 362 3 flow flow NOUN ijassa-1301 362 4 dynamics dynamic NOUN ijassa-1301 362 5 in in ADP ijassa-1301 362 6 the the DET ijassa-1301 362 7 model model NOUN ijassa-1301 362 8 of of ADP ijassa-1301 362 9 cargo cargo NOUN ijassa-1301 362 10 transportation transportation NOUN ijassa-1301 362 11 organization organization NOUN ijassa-1301 362 12 between between ADP ijassa-1301 362 13 node node PROPN ijassa-1301 362 14 stations// stations// PROPN ijassa-1301 362 15 international international ADJ ijassa-1301 362 16 journal journal NOUN ijassa-1301 362 17 of of ADP ijassa-1301 362 18 applied apply VERB ijassa-1301 362 19 mathematics mathematic NOUN ijassa-1301 362 20 . . PUNCT ijassa-1301 363 1 33(5 33(5 NUM ijassa-1301 363 2 ) ) PUNCT ijassa-1301 363 3 , , PUNCT ijassa-1301 363 4 937–949 937–949 NUM ijassa-1301 363 5 , , PUNCT ijassa-1301 363 6 http://dx.doi.org/10.12732/ijam.v33i5.14 http://dx.doi.org/10.12732/ijam.v33i5.14 X ijassa-1301 363 7 . . PUNCT ijassa-1301 364 1 [ [ X ijassa-1301 364 2 18 18 NUM ijassa-1301 364 3 ] ] PUNCT ijassa-1301 364 4 khachatryan khachatryan ADJ ijassa-1301 364 5 , , PUNCT ijassa-1301 364 6 nerses nerse NOUN ijassa-1301 364 7 k. k. PROPN ijassa-1301 364 8 ( ( PUNCT ijassa-1301 364 9 2021 2021 NUM ijassa-1301 364 10 ) ) PUNCT ijassa-1301 364 11 . . PUNCT ijassa-1301 365 1 modeling model VERB ijassa-1301 365 2 the the DET ijassa-1301 365 3 process process NOUN ijassa-1301 365 4 of of ADP ijassa-1301 365 5 cargo cargo NOUN ijassa-1301 365 6 transportation transportation NOUN ijassa-1301 365 7 between between ADP ijassa-1301 365 8 node node NOUN ijassa-1301 365 9 stations station NOUN ijassa-1301 365 10 , , PUNCT ijassa-1301 365 11 international international ADJ ijassa-1301 365 12 journal journal NOUN ijassa-1301 365 13 of of ADP ijassa-1301 365 14 applied apply VERB ijassa-1301 365 15 mathematics mathematic NOUN ijassa-1301 365 16 , , PUNCT ijassa-1301 365 17 34(6 34(6 NOUN ijassa-1301 365 18 ) ) PUNCT ijassa-1301 365 19 , , PUNCT ijassa-1301 365 20 1223 1223 NUM ijassa-1301 365 21 – – PUNCT ijassa-1301 365 22 1235 1235 NUM ijassa-1301 365 23 , , PUNCT ijassa-1301 365 24 http://dx.doi.org/10.12732/ijam.v34i6.12 http://dx.doi.org/10.12732/ijam.v34i6.12 NOUN ijassa-1301 365 25 . . PUNCT ijassa-1301 366 1 [ [ X ijassa-1301 366 2 19 19 NUM ijassa-1301 366 3 ] ] X ijassa-1301 366 4 kraay kraay PROPN ijassa-1301 366 5 d. d. PROPN ijassa-1301 366 6 , , PUNCT ijassa-1301 366 7 barker barker PROPN ijassa-1301 366 8 p.t p.t PROPN ijassa-1301 366 9 . . PROPN ijassa-1301 366 10 & & CCONJ ijassa-1301 366 11 chen chen PROPN ijassa-1301 366 12 b.t b.t PROPN ijassa-1301 366 13 . . PROPN ijassa-1301 366 14 ( ( PUNCT ijassa-1301 366 15 1991 1991 NUM ijassa-1301 366 16 ) ) PUNCT ijassa-1301 366 17 . . PUNCT ijassa-1301 367 1 optimal optimal ADJ ijassa-1301 367 2 pacing pacing NOUN ijassa-1301 367 3 of of ADP ijassa-1301 367 4 trains train NOUN ijassa-1301 367 5 in in ADP ijassa-1301 367 6 freight freight NOUN ijassa-1301 367 7 railroads railroad NOUN ijassa-1301 367 8 : : PUNCT ijassa-1301 367 9 model model NOUN ijassa-1301 367 10 formulation formulation NOUN ijassa-1301 367 11 and and CCONJ ijassa-1301 367 12 solution solution NOUN ijassa-1301 367 13 , , PUNCT ijassa-1301 367 14 operations operation NOUN ijassa-1301 367 15 research research NOUN ijassa-1301 367 16 , , PUNCT ijassa-1301 367 17 39(1 39(1 NUM ijassa-1301 367 18 ) ) PUNCT ijassa-1301 367 19 , , PUNCT ijassa-1301 367 20 82–99 82–99 NUM ijassa-1301 367 21 . . PUNCT ijassa-1301 368 1 [ [ X ijassa-1301 368 2 20 20 NUM ijassa-1301 368 3 ] ] X ijassa-1301 368 4 lazarev lazarev PROPN ijassa-1301 368 5 a. a. NOUN ijassa-1301 368 6 , , PUNCT ijassa-1301 368 7 musatova musatova PROPN ijassa-1301 368 8 e. e. PROPN ijassa-1301 368 9 , , PUNCT ijassa-1301 368 10 grafov grafov PROPN ijassa-1301 368 11 e. e. PROPN ijassa-1301 368 12 & & CCONJ ijassa-1301 368 13 kvaratskheliya kvaratskheliya PROPN ijassa-1301 368 14 a. a. PROPN ijassa-1301 368 15 ( ( PUNCT ijassa-1301 368 16 2012 2012 NUM ijassa-1301 368 17 ) ) PUNCT ijassa-1301 368 18 . . PUNCT ijassa-1301 369 1 teoriya teoriya PROPN ijassa-1301 369 2 raspisaniy raspisaniy PROPN ijassa-1301 369 3 . . PUNCT ijassa-1301 370 1 zadachi zadachi PROPN ijassa-1301 370 2 zheleznodorojnogo zheleznodorojnogo PROPN ijassa-1301 370 3 planirovaniya planirovaniya PROPN ijassa-1301 371 1 [ [ X ijassa-1301 371 2 schedule schedule NOUN ijassa-1301 371 3 theory theory NOUN ijassa-1301 371 4 . . PUNCT ijassa-1301 372 1 problems problem NOUN ijassa-1301 372 2 of of ADP ijassa-1301 372 3 railway railway NOUN ijassa-1301 372 4 planning planning NOUN ijassa-1301 372 5 ] ] PUNCT ijassa-1301 372 6 . . PUNCT ijassa-1301 373 1 moscow moscow PROPN ijassa-1301 373 2 , , PUNCT ijassa-1301 373 3 russia russia PROPN ijassa-1301 373 4 : : PUNCT ijassa-1301 373 5 ics ics PROPN ijassa-1301 373 6 ras ras PROPN ijassa-1301 373 7 , , PUNCT ijassa-1301 373 8 [ [ X ijassa-1301 373 9 in in ADP ijassa-1301 373 10 russian russian NOUN ijassa-1301 373 11 ] ] PUNCT ijassa-1301 373 12 . . PUNCT ijassa-1301 374 1 [ [ X ijassa-1301 374 2 21 21 NUM ijassa-1301 374 3 ] ] X ijassa-1301 374 4 lazarev lazarev PROPN ijassa-1301 374 5 a.a a.a PROPN ijassa-1301 374 6 . . PROPN ijassa-1301 374 7 ( ( PUNCT ijassa-1301 374 8 2009 2009 NUM ijassa-1301 374 9 ) ) PUNCT ijassa-1301 374 10 . . PUNCT ijassa-1301 375 1 estimates estimate NOUN ijassa-1301 375 2 of of ADP ijassa-1301 375 3 the the DET ijassa-1301 375 4 absolute absolute ADJ ijassa-1301 375 5 error error NOUN ijassa-1301 375 6 and and CCONJ ijassa-1301 375 7 a a DET ijassa-1301 375 8 scheme scheme NOUN ijassa-1301 375 9 for for ADP ijassa-1301 375 10 an an DET ijassa-1301 375 11 approximate approximate ADJ ijassa-1301 375 12 solution solution NOUN ijassa-1301 375 13 to to ADP ijassa-1301 375 14 scheduling scheduling NOUN ijassa-1301 375 15 problems problem NOUN ijassa-1301 375 16 , , PUNCT ijassa-1301 375 17 computational computational ADJ ijassa-1301 375 18 mathematics mathematic NOUN ijassa-1301 375 19 and and CCONJ ijassa-1301 375 20 mathematical mathematical ADJ ijassa-1301 375 21 physics physics NOUN ijassa-1301 375 22 , , PUNCT ijassa-1301 375 23 49(2 49(2 NUM ijassa-1301 375 24 ) ) PUNCT ijassa-1301 375 25 , , PUNCT ijassa-1301 375 26 373–386 373–386 NUM ijassa-1301 375 27 , , PUNCT ijassa-1301 375 28 https://doi.org/10.1134/ https://doi.org/10.1134/ PROPN ijassa-1301 375 29 s0965542509020158 s0965542509020158 PROPN ijassa-1301 375 30 . . PUNCT ijassa-1301 376 1 [ [ X ijassa-1301 376 2 22 22 NUM ijassa-1301 376 3 ] ] X ijassa-1301 376 4 leblanc leblanc PROPN ijassa-1301 376 5 l.j l.j PROPN ijassa-1301 376 6 . . PROPN ijassa-1301 377 1 ( ( PUNCT ijassa-1301 377 2 1976 1976 NUM ijassa-1301 377 3 ) ) PUNCT ijassa-1301 377 4 . . PUNCT ijassa-1301 378 1 global global ADJ ijassa-1301 378 2 solutions solution NOUN ijassa-1301 378 3 for for ADP ijassa-1301 378 4 a a DET ijassa-1301 378 5 nonconvex nonconvex NOUN ijassa-1301 378 6 nonconcave nonconcave NOUN ijassa-1301 378 7 rail rail NOUN ijassa-1301 378 8 network network NOUN ijassa-1301 378 9 model model NOUN ijassa-1301 378 10 , , PUNCT ijassa-1301 378 11 management management NOUN ijassa-1301 378 12 science science NOUN ijassa-1301 378 13 , , PUNCT ijassa-1301 378 14 23(2 23(2 NOUN ijassa-1301 378 15 ) ) PUNCT ijassa-1301 378 16 , , PUNCT ijassa-1301 378 17 131–139 131–139 NUM ijassa-1301 378 18 . . PUNCT ijassa-1301 379 1 [ [ X ijassa-1301 379 2 23 23 NUM ijassa-1301 379 3 ] ] X ijassa-1301 379 4 leventhal leventhal PROPN ijassa-1301 379 5 t. t. PROPN ijassa-1301 379 6 , , PUNCT ijassa-1301 379 7 nemhauser nemhauser PROPN ijassa-1301 379 8 g.l g.l PROPN ijassa-1301 379 9 . . PROPN ijassa-1301 379 10 & & CCONJ ijassa-1301 379 11 trotter trotter PROPN ijassa-1301 379 12 l. l. PROPN ijassa-1301 379 13 ( ( PUNCT ijassa-1301 379 14 1973 1973 NUM ijassa-1301 379 15 ) ) PUNCT ijassa-1301 379 16 . . PUNCT ijassa-1301 380 1 a a DET ijassa-1301 380 2 column column NOUN ijassa-1301 380 3 generation generation NOUN ijassa-1301 380 4 algorithm algorithm NOUN ijassa-1301 380 5 for for ADP ijassa-1301 380 6 optimal optimal ADJ ijassa-1301 380 7 traffic traffic NOUN ijassa-1301 380 8 assignment assignment NOUN ijassa-1301 380 9 , , PUNCT ijassa-1301 380 10 transportation transportation NOUN ijassa-1301 380 11 science science NOUN ijassa-1301 380 12 , , PUNCT ijassa-1301 380 13 7 7 NUM ijassa-1301 380 14 , , PUNCT ijassa-1301 380 15 168–176 168–176 NUM ijassa-1301 380 16 . . PUNCT ijassa-1301 381 1 [ [ X ijassa-1301 381 2 24 24 NUM ijassa-1301 381 3 ] ] SYM ijassa-1301 381 4 shvetsov shvetsov NOUN ijassa-1301 381 5 v. v. PROPN ijassa-1301 381 6 i. i. PROPN ijassa-1301 381 7 ( ( PUNCT ijassa-1301 381 8 2003 2003 NUM ijassa-1301 381 9 ) ) PUNCT ijassa-1301 381 10 . . PUNCT ijassa-1301 382 1 mathematical mathematical ADJ ijassa-1301 382 2 modeling modeling NOUN ijassa-1301 382 3 of of ADP ijassa-1301 382 4 traffic traffic NOUN ijassa-1301 382 5 flows flow NOUN ijassa-1301 382 6 , , PUNCT ijassa-1301 382 7 automation automation NOUN ijassa-1301 382 8 and and CCONJ ijassa-1301 382 9 remote remote ADJ ijassa-1301 382 10 control control NOUN ijassa-1301 382 11 , , PUNCT ijassa-1301 382 12 64(11 64(11 NUM ijassa-1301 382 13 ) ) PUNCT ijassa-1301 382 14 , , PUNCT ijassa-1301 382 15 1651–1689 1651–1689 NOUN ijassa-1301 382 16 . . PUNCT ijassa-1301 383 1 [ [ X ijassa-1301 383 2 25 25 NUM ijassa-1301 383 3 ] ] X ijassa-1301 383 4 solomon solomon PROPN ijassa-1301 383 5 , , PUNCT ijassa-1301 383 6 h. h. PROPN ijassa-1301 383 7 & & CCONJ ijassa-1301 383 8 wang wang PROPN ijassa-1301 383 9 p. p. PROPN ijassa-1301 383 10 ( ( PUNCT ijassa-1301 383 11 1972 1972 NUM ijassa-1301 383 12 ) ) PUNCT ijassa-1301 383 13 . . PUNCT ijassa-1301 384 1 nonhomogeneous nonhomogeneous ADJ ijassa-1301 384 2 poisson poisson NOUN ijassa-1301 384 3 fields field NOUN ijassa-1301 384 4 of of ADP ijassa-1301 384 5 random random ADJ ijassa-1301 384 6 lines line NOUN ijassa-1301 384 7 with with ADP ijassa-1301 384 8 applications application NOUN ijassa-1301 384 9 to to ADP ijassa-1301 384 10 traffic traffic NOUN ijassa-1301 384 11 flow flow NOUN ijassa-1301 384 12 . . PUNCT ijassa-1301 385 1 proceedings proceeding NOUN ijassa-1301 385 2 of of ADP ijassa-1301 385 3 the the DET ijassa-1301 385 4 sixth sixth ADJ ijassa-1301 385 5 berkeley berkeley NOUN ijassa-1301 385 6 symposium symposium NOUN ijassa-1301 385 7 on on ADP ijassa-1301 385 8 mathematical mathematical ADJ ijassa-1301 385 9 statistics statistic NOUN ijassa-1301 385 10 and and CCONJ ijassa-1301 385 11 probability probability NOUN ijassa-1301 385 12 , , PUNCT ijassa-1301 385 13 3 3 NUM ijassa-1301 385 14 , , PUNCT ijassa-1301 385 15 383–400 383–400 NUM ijassa-1301 385 16 . . PUNCT ijassa-1301 386 1 [ [ X ijassa-1301 386 2 26 26 NUM ijassa-1301 386 3 ] ] PUNCT ijassa-1301 386 4 steenbrink steenbrink PROPN ijassa-1301 386 5 p.a p.a PROPN ijassa-1301 386 6 . . PROPN ijassa-1301 386 7 ( ( PUNCT ijassa-1301 386 8 1981 1981 NUM ijassa-1301 386 9 ) ) PUNCT ijassa-1301 386 10 . . PUNCT ijassa-1301 387 1 optimizaciya optimizaciya PROPN ijassa-1301 387 2 transportnih transportnih NOUN ijassa-1301 387 3 system system NOUN ijassa-1301 387 4 . . PUNCT ijassa-1301 388 1 [ [ X ijassa-1301 388 2 optimization optimization NOUN ijassa-1301 388 3 of of ADP ijassa-1301 388 4 transport transport NOUN ijassa-1301 388 5 networks network NOUN ijassa-1301 388 6 ] ] PUNCT ijassa-1301 388 7 . . PUNCT ijassa-1301 389 1 moscow moscow PROPN ijassa-1301 389 2 : : PUNCT ijassa-1301 389 3 transport transport NOUN ijassa-1301 389 4 [ [ X ijassa-1301 389 5 in in ADP ijassa-1301 389 6 russian russian NOUN ijassa-1301 389 7 ] ] PUNCT ijassa-1301 389 8 . . PUNCT ijassa-1301 390 1 [ [ X ijassa-1301 390 2 translated translate VERB ijassa-1301 390 3 from from ADP ijassa-1301 390 4 steenbrink steenbrink PROPN ijassa-1301 390 5 p.a p.a PROPN ijassa-1301 390 6 . . PUNCT ijassa-1301 391 1 ( ( PUNCT ijassa-1301 391 2 1974 1974 NUM ijassa-1301 391 3 ) ) PUNCT ijassa-1301 391 4 . . PUNCT ijassa-1301 392 1 optimization optimization NOUN ijassa-1301 392 2 of of ADP ijassa-1301 392 3 transport transport NOUN ijassa-1301 392 4 networks network NOUN ijassa-1301 392 5 . . PUNCT ijassa-1301 393 1 new new PROPN ijassa-1301 393 2 york york PROPN ijassa-1301 393 3 : : PUNCT ijassa-1301 393 4 wiley wiley PROPN ijassa-1301 393 5 . . PUNCT ijassa-1301 393 6 ] ] PUNCT ijassa-1301 394 1 [ [ X ijassa-1301 394 2 27 27 NUM ijassa-1301 394 3 ] ] SYM ijassa-1301 394 4 vasil’eva vasil’eva PROPN ijassa-1301 395 1 e.m e.m PROPN ijassa-1301 395 2 . . PROPN ijassa-1301 395 3 , , PUNCT ijassa-1301 395 4 igudin igudin VERB ijassa-1301 395 5 r.v r.v PROPN ijassa-1301 395 6 . . PROPN ijassa-1301 396 1 & & CCONJ ijassa-1301 396 2 livshits livshit VERB ijassa-1301 396 3 v.n v.n PROPN ijassa-1301 396 4 . . PUNCT ijassa-1301 397 1 ( ( PUNCT ijassa-1301 397 2 1987 1987 NUM ijassa-1301 397 3 ) ) PUNCT ijassa-1301 397 4 . . PUNCT ijassa-1301 398 1 optimizaciya optimizaciya PROPN ijassa-1301 399 1 planirovaniya planirovaniya NOUN ijassa-1301 400 1 i i PRON ijassa-1301 400 2 upravleniya upravleniya VERB ijassa-1301 400 3 transportnimi transportnimi PROPN ijassa-1301 400 4 sistemami sistemami NOUN ijassa-1301 400 5 . . PUNCT ijassa-1301 401 1 [ [ X ijassa-1301 401 2 optimization optimization NOUN ijassa-1301 401 3 of of ADP ijassa-1301 401 4 planning planning NOUN ijassa-1301 401 5 and and CCONJ ijassa-1301 401 6 control control NOUN ijassa-1301 401 7 of of ADP ijassa-1301 401 8 transport transport NOUN ijassa-1301 401 9 systems system NOUN ijassa-1301 401 10 ] ] PUNCT ijassa-1301 401 11 . . PUNCT ijassa-1301 402 1 moscow moscow PROPN ijassa-1301 402 2 : : PUNCT ijassa-1301 402 3 transport transport NOUN ijassa-1301 402 4 [ [ X ijassa-1301 402 5 in in ADP ijassa-1301 402 6 russian russian NOUN ijassa-1301 402 7 ] ] PUNCT ijassa-1301 402 8 . . PUNCT