id sid tid token lemma pos fbem-5851 1 1 frontiers frontier NOUN fbem-5851 1 2 in in ADP fbem-5851 1 3 business business NOUN fbem-5851 1 4 , , PUNCT fbem-5851 1 5 economics economic NOUN fbem-5851 1 6 and and CCONJ fbem-5851 1 7 management management NOUN fbem-5851 1 8 issn issn PROPN fbem-5851 1 9 : : PUNCT fbem-5851 1 10 2766 2766 NUM fbem-5851 1 11 - - PUNCT fbem-5851 1 12 824x 824x NUM fbem-5851 1 13 | | ADJ fbem-5851 1 14 vol vol NOUN fbem-5851 1 15 . . PROPN fbem-5851 1 16 8 8 NUM fbem-5851 1 17 , , PUNCT fbem-5851 1 18 no no INTJ fbem-5851 1 19 . . NOUN fbem-5851 1 20 1 1 NUM fbem-5851 1 21 , , PUNCT fbem-5851 1 22 2023 2023 NUM fbem-5851 1 23 77 77 NUM fbem-5851 1 24 supply‐hub‐based supply‐hub‐based NUM fbem-5851 1 25 collaborative collaborative ADJ fbem-5851 1 26 replenishment replenishment NOUN fbem-5851 1 27 decisions decision NOUN fbem-5851 1 28 for for ADP fbem-5851 1 29 enterprise enterprise NOUN fbem-5851 1 30 supply supply NOUN fbem-5851 1 31 logistics logistic NOUN fbem-5851 1 32 under under ADP fbem-5851 1 33 demand demand NOUN fbem-5851 1 34 uncertainty uncertainty NOUN fbem-5851 1 35 chen chen PROPN fbem-5851 1 36 chen1 chen1 PROPN fbem-5851 1 37 , , PUNCT fbem-5851 1 38 a a DET fbem-5851 1 39 1southwest 1southwest NUM fbem-5851 1 40 petroleum petroleum NOUN fbem-5851 1 41 university university NOUN fbem-5851 1 42 , , PUNCT fbem-5851 1 43 chengdu chengdu PROPN fbem-5851 1 44 , , PUNCT fbem-5851 1 45 610000 610000 NUM fbem-5851 1 46 , , PUNCT fbem-5851 1 47 china china PROPN fbem-5851 1 48 achenchenzhangc@163.com achenchenzhangc@163.com PROPN fbem-5851 1 49 abstract abstract NOUN fbem-5851 1 50 : : PUNCT fbem-5851 1 51 to to PART fbem-5851 1 52 address address VERB fbem-5851 1 53 the the DET fbem-5851 1 54 collaborative collaborative ADJ fbem-5851 1 55 replenishment replenishment NOUN fbem-5851 1 56 problem problem NOUN fbem-5851 1 57 of of ADP fbem-5851 1 58 enterprise enterprise NOUN fbem-5851 1 59 supply supply NOUN fbem-5851 1 60 logistics logistic NOUN fbem-5851 1 61 , , PUNCT fbem-5851 1 62 a a DET fbem-5851 1 63 supply supply NOUN fbem-5851 1 64 - - PUNCT fbem-5851 1 65 hub hub NOUN fbem-5851 1 66 - - PUNCT fbem-5851 1 67 based base VERB fbem-5851 1 68 collaborative collaborative ADJ fbem-5851 1 69 replenishment replenishment NOUN fbem-5851 1 70 decision decision NOUN fbem-5851 1 71 model model NOUN fbem-5851 1 72 is be AUX fbem-5851 1 73 constructed construct VERB fbem-5851 1 74 from from ADP fbem-5851 1 75 the the DET fbem-5851 1 76 perspective perspective NOUN fbem-5851 1 77 of of ADP fbem-5851 1 78 horizontal horizontal ADJ fbem-5851 1 79 collaboration collaboration NOUN fbem-5851 1 80 among among ADP fbem-5851 1 81 suppliers supplier NOUN fbem-5851 1 82 and and CCONJ fbem-5851 1 83 the the DET fbem-5851 1 84 introduction introduction NOUN fbem-5851 1 85 of of ADP fbem-5851 1 86 component component NOUN fbem-5851 1 87 demurrage demurrage NOUN fbem-5851 1 88 costs cost NOUN fbem-5851 1 89 and and CCONJ fbem-5851 1 90 product product VERB fbem-5851 1 91 out out ADP fbem-5851 1 92 - - PUNCT fbem-5851 1 93 of of ADP fbem-5851 1 94 - - PUNCT fbem-5851 1 95 stock stock NOUN fbem-5851 1 96 penalty penalty NOUN fbem-5851 1 97 costs cost NOUN fbem-5851 1 98 . . PUNCT fbem-5851 2 1 the the DET fbem-5851 2 2 number number NOUN fbem-5851 2 3 of of ADP fbem-5851 2 4 suppliers supplier NOUN fbem-5851 2 5 participating participate VERB fbem-5851 2 6 in in ADP fbem-5851 2 7 the the DET fbem-5851 2 8 system system NOUN fbem-5851 2 9 , , PUNCT fbem-5851 2 10 the the DET fbem-5851 2 11 replenishment replenishment NOUN fbem-5851 2 12 level level NOUN fbem-5851 2 13 of of ADP fbem-5851 2 14 suppliers supplier NOUN fbem-5851 2 15 and and CCONJ fbem-5851 2 16 the the DET fbem-5851 2 17 impact impact NOUN fbem-5851 2 18 of of ADP fbem-5851 2 19 demand demand NOUN fbem-5851 2 20 uncertainty uncertainty NOUN fbem-5851 2 21 on on ADP fbem-5851 2 22 the the DET fbem-5851 2 23 operational operational ADJ fbem-5851 2 24 cost cost NOUN fbem-5851 2 25 of of ADP fbem-5851 2 26 supply supply NOUN fbem-5851 2 27 logistics logistic NOUN fbem-5851 2 28 are be AUX fbem-5851 2 29 analysed analyse VERB fbem-5851 2 30 . . PUNCT fbem-5851 3 1 the the DET fbem-5851 3 2 results result NOUN fbem-5851 3 3 show show VERB fbem-5851 3 4 that that SCONJ fbem-5851 3 5 : : PUNCT fbem-5851 3 6 the the DET fbem-5851 3 7 participation participation NOUN fbem-5851 3 8 of of ADP fbem-5851 3 9 multiple multiple ADJ fbem-5851 3 10 suppliers supplier NOUN fbem-5851 3 11 can can AUX fbem-5851 3 12 reduce reduce VERB fbem-5851 3 13 the the DET fbem-5851 3 14 increase increase NOUN fbem-5851 3 15 of of ADP fbem-5851 3 16 supply supply NOUN fbem-5851 3 17 logistics logistic NOUN fbem-5851 3 18 operating operating NOUN fbem-5851 3 19 costs cost NOUN fbem-5851 3 20 to to ADP fbem-5851 3 21 a a DET fbem-5851 3 22 certain certain ADJ fbem-5851 3 23 extent extent NOUN fbem-5851 3 24 ; ; PUNCT fbem-5851 3 25 as as ADP fbem-5851 3 26 the the DET fbem-5851 3 27 service service NOUN fbem-5851 3 28 level level NOUN fbem-5851 3 29 increases increase NOUN fbem-5851 3 30 , , PUNCT fbem-5851 3 31 the the DET fbem-5851 3 32 supply supply NOUN fbem-5851 3 33 logistics logistic NOUN fbem-5851 3 34 operating operating NOUN fbem-5851 3 35 costs cost NOUN fbem-5851 3 36 increase increase VERB fbem-5851 3 37 and and CCONJ fbem-5851 3 38 then then ADV fbem-5851 3 39 decrease decrease VERB fbem-5851 3 40 ; ; PUNCT fbem-5851 3 41 the the DET fbem-5851 3 42 impact impact NOUN fbem-5851 3 43 of of ADP fbem-5851 3 44 demand demand NOUN fbem-5851 3 45 uncertainty uncertainty NOUN fbem-5851 3 46 on on ADP fbem-5851 3 47 the the DET fbem-5851 3 48 supply supply NOUN fbem-5851 3 49 logistics logistic NOUN fbem-5851 3 50 operating operating NOUN fbem-5851 3 51 costs cost NOUN fbem-5851 3 52 can can AUX fbem-5851 3 53 be be AUX fbem-5851 3 54 mitigated mitigate VERB fbem-5851 3 55 to to ADP fbem-5851 3 56 a a DET fbem-5851 3 57 certain certain ADJ fbem-5851 3 58 extent extent NOUN fbem-5851 3 59 by by ADP fbem-5851 3 60 the the DET fbem-5851 3 61 coordination coordination NOUN fbem-5851 3 62 function function NOUN fbem-5851 3 63 of of ADP fbem-5851 3 64 supply supply NOUN fbem-5851 3 65 - - PUNCT fbem-5851 3 66 hub hub NOUN fbem-5851 3 67 . . PUNCT fbem-5851 4 1 keywords keyword NOUN fbem-5851 4 2 : : PUNCT fbem-5851 4 3 supply supply NOUN fbem-5851 4 4 - - PUNCT fbem-5851 4 5 hub hub NOUN fbem-5851 4 6 , , PUNCT fbem-5851 4 7 supply supply NOUN fbem-5851 4 8 logistics logistic NOUN fbem-5851 4 9 , , PUNCT fbem-5851 4 10 collaborative collaborative ADJ fbem-5851 4 11 replenishment replenishment NOUN fbem-5851 4 12 . . PUNCT fbem-5851 5 1 1 1 X fbem-5851 5 2 . . X fbem-5851 5 3 introduction introduction NOUN fbem-5851 5 4 collaborative collaborative ADJ fbem-5851 5 5 replenishment replenishment NOUN fbem-5851 5 6 of of ADP fbem-5851 5 7 supply supply NOUN fbem-5851 5 8 logistics logistic NOUN fbem-5851 5 9 is be AUX fbem-5851 5 10 one one NUM fbem-5851 5 11 of of ADP fbem-5851 5 12 the the DET fbem-5851 5 13 supply supply NOUN fbem-5851 5 14 chain chain NOUN fbem-5851 5 15 management management NOUN fbem-5851 5 16 studies study NOUN fbem-5851 5 17 , , PUNCT fbem-5851 5 18 and and CCONJ fbem-5851 5 19 many many ADJ fbem-5851 5 20 manufacturing manufacturing NOUN fbem-5851 5 21 companies company NOUN fbem-5851 5 22 have have AUX fbem-5851 5 23 been be AUX fbem-5851 5 24 strengthening strengthen VERB fbem-5851 5 25 their their PRON fbem-5851 5 26 management management NOUN fbem-5851 5 27 of of ADP fbem-5851 5 28 supply supply NOUN fbem-5851 5 29 chain chain NOUN fbem-5851 5 30 collaboration collaboration NOUN fbem-5851 5 31 . . PUNCT fbem-5851 6 1 supply supply NOUN fbem-5851 6 2 logistics logistic NOUN fbem-5851 6 3 is be AUX fbem-5851 6 4 an an DET fbem-5851 6 5 important important ADJ fbem-5851 6 6 material material NOUN fbem-5851 6 7 supply supply NOUN fbem-5851 6 8 activity activity NOUN fbem-5851 6 9 that that PRON fbem-5851 6 10 occurs occur VERB fbem-5851 6 11 between between ADP fbem-5851 6 12 suppliers supplier NOUN fbem-5851 6 13 and and CCONJ fbem-5851 6 14 manufacturing manufacturing NOUN fbem-5851 6 15 enterprises enterprise NOUN fbem-5851 6 16 , , PUNCT fbem-5851 6 17 and and CCONJ fbem-5851 6 18 is be AUX fbem-5851 6 19 a a DET fbem-5851 6 20 logistics logistic NOUN fbem-5851 6 21 activity activity NOUN fbem-5851 6 22 that that PRON fbem-5851 6 23 occurs occur VERB fbem-5851 6 24 when when SCONJ fbem-5851 6 25 raw raw ADJ fbem-5851 6 26 materials material NOUN fbem-5851 6 27 , , PUNCT fbem-5851 6 28 components component NOUN fbem-5851 6 29 or or CCONJ fbem-5851 6 30 other other ADJ fbem-5851 6 31 materials material NOUN fbem-5851 6 32 are be AUX fbem-5851 6 33 provided provide VERB fbem-5851 6 34 to to ADP fbem-5851 6 35 manufacturing manufacturing NOUN fbem-5851 6 36 enterprises enterprise NOUN fbem-5851 6 37 [ [ X fbem-5851 6 38 1 1 NUM fbem-5851 6 39 ] ] PUNCT fbem-5851 6 40 . . PUNCT fbem-5851 7 1 bowersox bowersox PROPN fbem-5851 7 2 et et PROPN fbem-5851 7 3 al al PROPN fbem-5851 7 4 . . PUNCT fbem-5851 8 1 [ [ X fbem-5851 8 2 2 2 X fbem-5851 8 3 ] ] PUNCT fbem-5851 8 4 considered consider VERB fbem-5851 8 5 that that SCONJ fbem-5851 8 6 the the DET fbem-5851 8 7 supply supply NOUN fbem-5851 8 8 - - PUNCT fbem-5851 8 9 hub hub NOUN fbem-5851 8 10 is be AUX fbem-5851 8 11 used use VERB fbem-5851 8 12 to to PART fbem-5851 8 13 store store VERB fbem-5851 8 14 some some PRON fbem-5851 8 15 of of ADP fbem-5851 8 16 the the DET fbem-5851 8 17 supplied supply VERB fbem-5851 8 18 materials material NOUN fbem-5851 8 19 and and CCONJ fbem-5851 8 20 is be AUX fbem-5851 8 21 generally generally ADV fbem-5851 8 22 located locate VERB fbem-5851 8 23 in in ADP fbem-5851 8 24 the the DET fbem-5851 8 25 vicinity vicinity NOUN fbem-5851 8 26 of of ADP fbem-5851 8 27 the the DET fbem-5851 8 28 core core NOUN fbem-5851 8 29 manufacturing manufacturing NOUN fbem-5851 8 30 enterprise enterprise NOUN fbem-5851 8 31 and and CCONJ fbem-5851 8 32 the the DET fbem-5851 8 33 supplier supplier NOUN fbem-5851 8 34 is be AUX fbem-5851 8 35 only only ADV fbem-5851 8 36 paid pay VERB fbem-5851 8 37 accordingly accordingly ADV fbem-5851 8 38 when when SCONJ fbem-5851 8 39 the the DET fbem-5851 8 40 material material NOUN fbem-5851 8 41 is be AUX fbem-5851 8 42 consumed consume VERB fbem-5851 8 43 by by ADP fbem-5851 8 44 the the DET fbem-5851 8 45 manufacturer manufacturer NOUN fbem-5851 8 46 . . PUNCT fbem-5851 9 1 based base VERB fbem-5851 9 2 on on ADP fbem-5851 9 3 supply supply NOUN fbem-5851 9 4 - - PUNCT fbem-5851 9 5 hub hub NOUN fbem-5851 9 6 's 's PART fbem-5851 9 7 enterprise enterprise NOUN fbem-5851 9 8 supply supply NOUN fbem-5851 9 9 logistics logistic NOUN fbem-5851 9 10 collaborative collaborative ADJ fbem-5851 9 11 replenishment replenishment NOUN fbem-5851 9 12 optimization optimization NOUN fbem-5851 9 13 problem problem NOUN fbem-5851 9 14 , , PUNCT fbem-5851 9 15 hua hua PROPN fbem-5851 9 16 - - PUNCT fbem-5851 9 17 ming ming PROPN fbem-5851 9 18 gui gui PROPN fbem-5851 9 19 and and CCONJ fbem-5851 9 20 shi shi PROPN fbem-5851 9 21 - - PUNCT fbem-5851 9 22 hua hua PROPN fbem-5851 9 23 ma ma PROPN fbem-5851 10 1 [ [ X fbem-5851 10 2 3 3 NUM fbem-5851 10 3 ] ] PUNCT fbem-5851 10 4 introduced introduce VERB fbem-5851 10 5 the the DET fbem-5851 10 6 concept concept NOUN fbem-5851 10 7 of of ADP fbem-5851 10 8 circular circular ADJ fbem-5851 10 9 pickup pickup NOUN fbem-5851 10 10 ( ( PUNCT fbem-5851 10 11 milk milk NOUN fbem-5851 10 12 - - PUNCT fbem-5851 10 13 run run NOUN fbem-5851 10 14 ) ) PUNCT fbem-5851 10 15 for for ADP fbem-5851 10 16 the the DET fbem-5851 10 17 first first ADJ fbem-5851 10 18 time time NOUN fbem-5851 10 19 in in ADP fbem-5851 10 20 the the DET fbem-5851 10 21 supply supply NOUN fbem-5851 10 22 - - PUNCT fbem-5851 10 23 hub hub NOUN fbem-5851 10 24 environment environment NOUN fbem-5851 10 25 , , PUNCT fbem-5851 10 26 and and CCONJ fbem-5851 10 27 optimized optimize VERB fbem-5851 10 28 the the DET fbem-5851 10 29 batch batch NOUN fbem-5851 10 30 pickup pickup NOUN fbem-5851 10 31 model model NOUN fbem-5851 10 32 . . PUNCT fbem-5851 11 1 further far ADV fbem-5851 11 2 , , PUNCT fbem-5851 11 3 huang huang PROPN fbem-5851 11 4 xiaoling xiaoling PROPN fbem-5851 11 5 et et PROPN fbem-5851 11 6 al al PROPN fbem-5851 12 1 [ [ X fbem-5851 12 2 4 4 X fbem-5851 12 3 ] ] PUNCT fbem-5851 12 4 allow allow VERB fbem-5851 12 5 supply supply NOUN fbem-5851 12 6 points point NOUN fbem-5851 12 7 to to PART fbem-5851 12 8 be be AUX fbem-5851 12 9 visited visit VERB fbem-5851 12 10 multiple multiple ADJ fbem-5851 12 11 times time NOUN fbem-5851 12 12 for for ADP fbem-5851 12 13 the the DET fbem-5851 12 14 purpose purpose NOUN fbem-5851 12 15 of of ADP fbem-5851 12 16 demand demand NOUN fbem-5851 12 17 unbundling unbundling NOUN fbem-5851 12 18 and and CCONJ fbem-5851 12 19 use use VERB fbem-5851 12 20 the the DET fbem-5851 12 21 milk milk NOUN fbem-5851 12 22 - - PUNCT fbem-5851 12 23 run run NOUN fbem-5851 12 24 method method NOUN fbem-5851 12 25 instead instead ADV fbem-5851 12 26 of of ADP fbem-5851 12 27 the the DET fbem-5851 12 28 mainline mainline NOUN fbem-5851 12 29 direct direct ADJ fbem-5851 12 30 shipping shipping NOUN fbem-5851 12 31 method method NOUN fbem-5851 12 32 , , PUNCT fbem-5851 12 33 combined combine VERB fbem-5851 12 34 with with ADP fbem-5851 12 35 the the DET fbem-5851 12 36 supply supply NOUN fbem-5851 12 37 - - PUNCT fbem-5851 12 38 hub hub NOUN fbem-5851 12 39 model model NOUN fbem-5851 12 40 to to PART fbem-5851 12 41 optimise optimise VERB fbem-5851 12 42 the the DET fbem-5851 12 43 cost cost NOUN fbem-5851 12 44 of of ADP fbem-5851 12 45 auto auto NOUN fbem-5851 12 46 parts part NOUN fbem-5851 12 47 admission admission NOUN fbem-5851 12 48 logistics logistic NOUN fbem-5851 12 49 . . PUNCT fbem-5851 13 1 e. e. PROPN fbem-5851 13 2 farsi farsi PROPN fbem-5851 13 3 et et PROPN fbem-5851 13 4 al al PROPN fbem-5851 13 5 . . PUNCT fbem-5851 14 1 [ [ X fbem-5851 14 2 5 5 NUM fbem-5851 14 3 ] ] PUNCT fbem-5851 14 4 studied study VERB fbem-5851 14 5 a a DET fbem-5851 14 6 two two NUM fbem-5851 14 7 - - PUNCT fbem-5851 14 8 level level NOUN fbem-5851 14 9 supply supply NOUN fbem-5851 14 10 chain chain NOUN fbem-5851 14 11 for for ADP fbem-5851 14 12 the the DET fbem-5851 14 13 transportation transportation NOUN fbem-5851 14 14 of of ADP fbem-5851 14 15 perishables perishable NOUN fbem-5851 14 16 , , PUNCT fbem-5851 14 17 introduced introduce VERB fbem-5851 14 18 product product NOUN fbem-5851 14 19 shelf shelf NOUN fbem-5851 14 20 life life NOUN fbem-5851 14 21 into into ADP fbem-5851 14 22 the the DET fbem-5851 14 23 decision decision NOUN fbem-5851 14 24 model model NOUN fbem-5851 14 25 , , PUNCT fbem-5851 14 26 and and CCONJ fbem-5851 14 27 constructed construct VERB fbem-5851 14 28 a a DET fbem-5851 14 29 collaborative collaborative ADJ fbem-5851 14 30 replenishment replenishment NOUN fbem-5851 14 31 model model NOUN fbem-5851 14 32 with with ADP fbem-5851 14 33 supply supply NOUN fbem-5851 14 34 chain chain NOUN fbem-5851 14 35 profit profit NOUN fbem-5851 14 36 maximisation maximisation NOUN fbem-5851 14 37 as as ADP fbem-5851 14 38 the the DET fbem-5851 14 39 objective objective ADJ fbem-5851 14 40 function function NOUN fbem-5851 14 41 . . PUNCT fbem-5851 15 1 jianhong jianhong PROPN fbem-5851 15 2 yu yu PROPN fbem-5851 15 3 et et PROPN fbem-5851 15 4 al al PROPN fbem-5851 15 5 . . PUNCT fbem-5851 16 1 [ [ X fbem-5851 16 2 6 6 NUM fbem-5851 16 3 ] ] PUNCT fbem-5851 16 4 study study VERB fbem-5851 16 5 a a DET fbem-5851 16 6 three three NUM fbem-5851 16 7 - - PUNCT fbem-5851 16 8 tier tier NOUN fbem-5851 16 9 supply supply NOUN fbem-5851 16 10 chain chain NOUN fbem-5851 16 11 assembly assembly NOUN fbem-5851 16 12 system system NOUN fbem-5851 16 13 in in ADP fbem-5851 16 14 which which PRON fbem-5851 16 15 suppliers supplier NOUN fbem-5851 16 16 perform perform VERB fbem-5851 16 17 decentralised decentralised ADJ fbem-5851 16 18 replenishment replenishment NOUN fbem-5851 16 19 , , PUNCT fbem-5851 16 20 replenishment replenishment NOUN fbem-5851 16 21 without without ADP fbem-5851 16 22 coordinated coordinate VERB fbem-5851 16 23 quantities quantity NOUN fbem-5851 16 24 and and CCONJ fbem-5851 16 25 replenishment replenishment NOUN fbem-5851 16 26 with with ADP fbem-5851 16 27 coordinated coordinate VERB fbem-5851 16 28 quantities quantity NOUN fbem-5851 16 29 in in ADP fbem-5851 16 30 three three NUM fbem-5851 16 31 areas area NOUN fbem-5851 16 32 to to PART fbem-5851 16 33 propose propose VERB fbem-5851 16 34 optimal optimal ADJ fbem-5851 16 35 decisions decision NOUN fbem-5851 16 36 under under ADP fbem-5851 16 37 different different ADJ fbem-5851 16 38 strategies strategy NOUN fbem-5851 16 39 . . PUNCT fbem-5851 17 1 the the DET fbem-5851 17 2 existing exist VERB fbem-5851 17 3 literature literature NOUN fbem-5851 17 4 has have AUX fbem-5851 17 5 studied study VERB fbem-5851 17 6 the the DET fbem-5851 17 7 operation operation NOUN fbem-5851 17 8 mode mode NOUN fbem-5851 17 9 and and CCONJ fbem-5851 17 10 characteristics characteristic NOUN fbem-5851 17 11 of of ADP fbem-5851 17 12 supply supply NOUN fbem-5851 17 13 - - PUNCT fbem-5851 17 14 hub hub NOUN fbem-5851 17 15 in in ADP fbem-5851 17 16 depth depth NOUN fbem-5851 17 17 , , PUNCT fbem-5851 17 18 proving prove VERB fbem-5851 17 19 the the DET fbem-5851 17 20 advantages advantage NOUN fbem-5851 17 21 of of ADP fbem-5851 17 22 supply supply NOUN fbem-5851 17 23 - - PUNCT fbem-5851 17 24 hub hub NOUN fbem-5851 17 25 in in ADP fbem-5851 17 26 reducing reduce VERB fbem-5851 17 27 the the DET fbem-5851 17 28 replenishment replenishment NOUN fbem-5851 17 29 cost cost NOUN fbem-5851 17 30 of of ADP fbem-5851 17 31 enterprise enterprise NOUN fbem-5851 17 32 supply supply NOUN fbem-5851 17 33 logistics logistic NOUN fbem-5851 17 34 from from ADP fbem-5851 17 35 both both PRON fbem-5851 17 36 qualitative qualitative ADJ fbem-5851 17 37 and and CCONJ fbem-5851 17 38 quantitative quantitative ADJ fbem-5851 17 39 perspectives perspective NOUN fbem-5851 17 40 . . PUNCT fbem-5851 18 1 most most ADJ fbem-5851 18 2 of of ADP fbem-5851 18 3 the the DET fbem-5851 18 4 research research NOUN fbem-5851 18 5 on on ADP fbem-5851 18 6 supply supply NOUN fbem-5851 18 7 logistics logistic NOUN fbem-5851 18 8 under under ADP fbem-5851 18 9 uncertain uncertain ADJ fbem-5851 18 10 demand demand NOUN fbem-5851 18 11 is be AUX fbem-5851 18 12 focused focus VERB fbem-5851 18 13 on on ADP fbem-5851 18 14 the the DET fbem-5851 18 15 vertical vertical ADJ fbem-5851 18 16 collaboration collaboration NOUN fbem-5851 18 17 of of ADP fbem-5851 18 18 different different ADJ fbem-5851 18 19 nodes node NOUN fbem-5851 18 20 upstream upstream ADJ fbem-5851 18 21 and and CCONJ fbem-5851 18 22 downstream downstream ADJ fbem-5851 18 23 in in ADP fbem-5851 18 24 the the DET fbem-5851 18 25 supply supply NOUN fbem-5851 18 26 chain chain NOUN fbem-5851 18 27 , , PUNCT fbem-5851 18 28 while while SCONJ fbem-5851 18 29 there there PRON fbem-5851 18 30 is be VERB fbem-5851 18 31 little little ADJ fbem-5851 18 32 research research NOUN fbem-5851 18 33 on on ADP fbem-5851 18 34 replenishment replenishment NOUN fbem-5851 18 35 under under ADP fbem-5851 18 36 horizontal horizontal ADJ fbem-5851 18 37 collaboration collaboration NOUN fbem-5851 18 38 at at ADP fbem-5851 18 39 the the DET fbem-5851 18 40 same same ADJ fbem-5851 18 41 level level NOUN fbem-5851 18 42 . . PUNCT fbem-5851 19 1 2 2 X fbem-5851 19 2 . . X fbem-5851 19 3 question question NOUN fbem-5851 19 4 description description NOUN fbem-5851 19 5 a a DET fbem-5851 19 6 supply supply NOUN fbem-5851 19 7 logistics logistic NOUN fbem-5851 19 8 operation operation NOUN fbem-5851 19 9 system system NOUN fbem-5851 19 10 consisting consist VERB fbem-5851 19 11 of of ADP fbem-5851 19 12 multiple multiple ADJ fbem-5851 19 13 suppliers supplier NOUN fbem-5851 19 14 , , PUNCT fbem-5851 19 15 a a DET fbem-5851 19 16 supply supply NOUN fbem-5851 19 17 - - PUNCT fbem-5851 19 18 hub hub NOUN fbem-5851 19 19 and and CCONJ fbem-5851 19 20 a a DET fbem-5851 19 21 single single ADJ fbem-5851 19 22 core core NOUN fbem-5851 19 23 manufacturer manufacturer NOUN fbem-5851 19 24 is be AUX fbem-5851 19 25 shown show VERB fbem-5851 19 26 in in ADP fbem-5851 19 27 figure figure NOUN fbem-5851 19 28 1 1 NUM fbem-5851 19 29 . . PUNCT fbem-5851 20 1 each each DET fbem-5851 20 2 supplier supplier NOUN fbem-5851 20 3 meets meet VERB fbem-5851 20 4 the the DET fbem-5851 20 5 manufacturer manufacturer NOUN fbem-5851 20 6 's 's PART fbem-5851 20 7 jit jit NOUN fbem-5851 20 8 demand demand NOUN fbem-5851 20 9 through through ADP fbem-5851 20 10 bulk bulk ADJ fbem-5851 20 11 distribution distribution NOUN fbem-5851 20 12 under under ADP fbem-5851 20 13 a a DET fbem-5851 20 14 circular circular ADJ fbem-5851 20 15 pick pick VERB fbem-5851 20 16 - - PUNCT fbem-5851 20 17 up up ADP fbem-5851 20 18 method method NOUN fbem-5851 20 19 , , PUNCT fbem-5851 20 20 and and CCONJ fbem-5851 20 21 the the DET fbem-5851 20 22 supply supply NOUN fbem-5851 20 23 - - PUNCT fbem-5851 20 24 hub hub NOUN fbem-5851 20 25 adopts adopt VERB fbem-5851 20 26 a a DET fbem-5851 20 27 unified unified ADJ fbem-5851 20 28 deployment deployment NOUN fbem-5851 20 29 measure measure NOUN fbem-5851 20 30 to to PART fbem-5851 20 31 supply supply VERB fbem-5851 20 32 the the DET fbem-5851 20 33 parts part NOUN fbem-5851 20 34 required require VERB fbem-5851 20 35 by by ADP fbem-5851 20 36 the the DET fbem-5851 20 37 manufacturer manufacturer NOUN fbem-5851 20 38 for for ADP fbem-5851 20 39 production production NOUN fbem-5851 20 40 . . PUNCT fbem-5851 21 1 due due ADP fbem-5851 21 2 to to ADP fbem-5851 21 3 changes change NOUN fbem-5851 21 4 in in ADP fbem-5851 21 5 demand demand NOUN fbem-5851 21 6 , , PUNCT fbem-5851 21 7 when when SCONJ fbem-5851 21 8 a a DET fbem-5851 21 9 certain certain ADJ fbem-5851 21 10 component component NOUN fbem-5851 21 11 is be AUX fbem-5851 21 12 in in ADP fbem-5851 21 13 short short ADJ fbem-5851 21 14 supply supply NOUN fbem-5851 21 15 and and CCONJ fbem-5851 21 16 out out ADP fbem-5851 21 17 of of ADP fbem-5851 21 18 stock stock NOUN fbem-5851 21 19 , , PUNCT fbem-5851 21 20 it it PRON fbem-5851 21 21 will will AUX fbem-5851 21 22 cause cause VERB fbem-5851 21 23 other other ADJ fbem-5851 21 24 components component NOUN fbem-5851 21 25 used use VERB fbem-5851 21 26 in in ADP fbem-5851 21 27 conjunction conjunction NOUN fbem-5851 21 28 with with ADP fbem-5851 21 29 it it PRON fbem-5851 21 30 to to PART fbem-5851 21 31 be be AUX fbem-5851 21 32 held hold VERB fbem-5851 21 33 in in ADP fbem-5851 21 34 stock stock NOUN fbem-5851 21 35 , , PUNCT fbem-5851 21 36 thus thus ADV fbem-5851 21 37 incurring incur VERB fbem-5851 21 38 demurrage demurrage NOUN fbem-5851 21 39 costs cost NOUN fbem-5851 21 40 ; ; PUNCT fbem-5851 21 41 this this PRON fbem-5851 21 42 in in ADP fbem-5851 21 43 turn turn NOUN fbem-5851 21 44 will will AUX fbem-5851 21 45 lead lead VERB fbem-5851 21 46 to to ADP fbem-5851 21 47 out out ADP fbem-5851 21 48 of of ADP fbem-5851 21 49 stock stock NOUN fbem-5851 21 50 for for ADP fbem-5851 21 51 the the DET fbem-5851 21 52 manufacturer manufacturer NOUN fbem-5851 21 53 and and CCONJ fbem-5851 21 54 increase increase VERB fbem-5851 21 55 product product NOUN fbem-5851 21 56 out out ADP fbem-5851 21 57 - - PUNCT fbem-5851 21 58 ofstock ofstock NOUN fbem-5851 21 59 costs cost NOUN fbem-5851 21 60 . . PUNCT fbem-5851 22 1 78 78 NUM fbem-5851 22 2 manufacturers manufacturer NOUN fbem-5851 22 3 suppliers supplier NOUN fbem-5851 22 4 suppliers supplier NOUN fbem-5851 22 5 supply supply NOUN fbem-5851 22 6 -hub -hub PUNCT fbem-5851 22 7 suppliers supplier NOUN fbem-5851 22 8 material material NOUN fbem-5851 22 9 flow flow NOUN fbem-5851 22 10 information information NOUN fbem-5851 22 11 flow flow NOUN fbem-5851 22 12 replenishment replenishment NOUN fbem-5851 22 13 time time NOUN fbem-5851 22 14 restocking restock VERB fbem-5851 22 15 information information NOUN fbem-5851 22 16 jit jit PROPN fbem-5851 22 17 distribution distribution NOUN fbem-5851 22 18 material material NOUN fbem-5851 22 19 daily daily ADJ fbem-5851 22 20 requirement requirement NOUN fbem-5851 22 21 plan plan NOUN fbem-5851 22 22 vehicles vehicle NOUN fbem-5851 22 23 figure figure VERB fbem-5851 22 24 1 1 NUM fbem-5851 22 25 . . PUNCT fbem-5851 22 26 supply supply NOUN fbem-5851 22 27 - - PUNCT fbem-5851 22 28 hub hub NOUN fbem-5851 22 29 - - PUNCT fbem-5851 22 30 based base VERB fbem-5851 22 31 collaborative collaborative ADJ fbem-5851 22 32 replenishment replenishment NOUN fbem-5851 22 33 model model NOUN fbem-5851 22 34 for for ADP fbem-5851 22 35 enterprise enterprise NOUN fbem-5851 22 36 supply supply NOUN fbem-5851 22 37 logistics logistic NOUN fbem-5851 22 38 3 3 NUM fbem-5851 22 39 . . PUNCT fbem-5851 22 40 basic basic ADJ fbem-5851 22 41 assumptions assumption NOUN fbem-5851 22 42 and and CCONJ fbem-5851 22 43 symbolic symbolic ADJ fbem-5851 22 44 definitions definition NOUN fbem-5851 22 45 3.1 3.1 NUM fbem-5851 22 46 . . PUNCT fbem-5851 23 1 basic basic ADJ fbem-5851 23 2 assumptions assumption NOUN fbem-5851 23 3 ( ( PUNCT fbem-5851 23 4 1 1 X fbem-5851 23 5 ) ) PUNCT fbem-5851 23 6 the the DET fbem-5851 23 7 quantity quantity NOUN fbem-5851 23 8 of of ADP fbem-5851 23 9 each each DET fbem-5851 23 10 component component NOUN fbem-5851 23 11 in in ADP fbem-5851 23 12 the the DET fbem-5851 23 13 final final ADJ fbem-5851 23 14 product product NOUN fbem-5851 23 15 is be AUX fbem-5851 23 16 1:1 1:1 NUM fbem-5851 23 17 . . PUNCT fbem-5851 24 1 ( ( PUNCT fbem-5851 24 2 2 2 X fbem-5851 24 3 ) ) PUNCT fbem-5851 24 4 suppliers supplier NOUN fbem-5851 24 5 do do AUX fbem-5851 24 6 not not PART fbem-5851 24 7 take take VERB fbem-5851 24 8 into into ADP fbem-5851 24 9 account account NOUN fbem-5851 24 10 production production NOUN fbem-5851 24 11 costs cost NOUN fbem-5851 24 12 , , PUNCT fbem-5851 24 13 only only ADV fbem-5851 24 14 inventory inventory NOUN fbem-5851 24 15 costs cost NOUN fbem-5851 24 16 . . PUNCT fbem-5851 25 1 only only ADV fbem-5851 25 2 one one NUM fbem-5851 25 3 type type NOUN fbem-5851 25 4 of of ADP fbem-5851 25 5 component component NOUN fbem-5851 25 6 is be AUX fbem-5851 25 7 supplied supply VERB fbem-5851 25 8 by by ADP fbem-5851 25 9 each each DET fbem-5851 25 10 supplier supplier NOUN fbem-5851 25 11 and and CCONJ fbem-5851 25 12 one one NUM fbem-5851 25 13 component component NOUN fbem-5851 25 14 is be AUX fbem-5851 25 15 supplied supply VERB fbem-5851 25 16 by by ADP fbem-5851 25 17 only only ADV fbem-5851 25 18 one one NUM fbem-5851 25 19 supplier supplier NOUN fbem-5851 25 20 . . PUNCT fbem-5851 26 1 ( ( PUNCT fbem-5851 26 2 3 3 X fbem-5851 26 3 ) ) PUNCT fbem-5851 26 4 production production NOUN fbem-5851 26 5 preparation preparation NOUN fbem-5851 26 6 costs cost NOUN fbem-5851 26 7 and and CCONJ fbem-5851 26 8 adjustment adjustment NOUN fbem-5851 26 9 lead lead NOUN fbem-5851 26 10 times time NOUN fbem-5851 26 11 for for ADP fbem-5851 26 12 suppliers supplier NOUN fbem-5851 26 13 remain remain VERB fbem-5851 26 14 unchanged unchanged ADJ fbem-5851 26 15 . . PUNCT fbem-5851 27 1 ( ( PUNCT fbem-5851 27 2 4 4 X fbem-5851 27 3 ) ) PUNCT fbem-5851 27 4 total total ADJ fbem-5851 27 5 annual annual ADJ fbem-5851 27 6 demand demand NOUN fbem-5851 27 7 d d NOUN fbem-5851 27 8 is be AUX fbem-5851 27 9 fixed fix VERB fbem-5851 27 10 . . PUNCT fbem-5851 28 1 ( ( PUNCT fbem-5851 28 2 5 5 X fbem-5851 28 3 ) ) PUNCT fbem-5851 28 4 the the DET fbem-5851 28 5 daily daily ADJ fbem-5851 28 6 demand demand NOUN fbem-5851 28 7 for for ADP fbem-5851 28 8 spare spare ADJ fbem-5851 28 9 parts part NOUN fbem-5851 28 10 follows follow VERB fbem-5851 28 11 a a DET fbem-5851 28 12 normal normal ADJ fbem-5851 28 13 distribution distribution NOUN fbem-5851 28 14 n n NOUN fbem-5851 28 15 πœ‡ πœ‡ X fbem-5851 28 16 , , PUNCT fbem-5851 28 17 𝜎 𝜎 PROPN fbem-5851 28 18 and and CCONJ fbem-5851 28 19 is be AUX fbem-5851 28 20 independent independent ADJ fbem-5851 28 21 of of ADP fbem-5851 28 22 each each DET fbem-5851 28 23 other other ADJ fbem-5851 28 24 . . PUNCT fbem-5851 29 1 ( ( PUNCT fbem-5851 29 2 6 6 NUM fbem-5851 29 3 ) ) PUNCT fbem-5851 29 4 supply supply NOUN fbem-5851 29 5 - - PUNCT fbem-5851 29 6 hub hub NOUN fbem-5851 29 7 uses use VERB fbem-5851 29 8 a a DET fbem-5851 29 9 ( ( PUNCT fbem-5851 29 10 q q NOUN fbem-5851 29 11 , , PUNCT fbem-5851 29 12 r r NOUN fbem-5851 29 13 ) ) PUNCT fbem-5851 29 14 inventory inventory NOUN fbem-5851 29 15 strategy strategy NOUN fbem-5851 29 16 . . PUNCT fbem-5851 30 1 ( ( PUNCT fbem-5851 30 2 7 7 X fbem-5851 30 3 ) ) PUNCT fbem-5851 30 4 supply supply NOUN fbem-5851 30 5 - - PUNCT fbem-5851 30 6 hub hub NOUN fbem-5851 30 7 's 's PART fbem-5851 30 8 replenishment replenishment NOUN fbem-5851 30 9 of of ADP fbem-5851 30 10 manufacturers manufacturer NOUN fbem-5851 30 11 does do AUX fbem-5851 30 12 not not PART fbem-5851 30 13 take take VERB fbem-5851 30 14 into into ADP fbem-5851 30 15 account account NOUN fbem-5851 30 16 time time NOUN fbem-5851 30 17 costs cost NOUN fbem-5851 30 18 and and CCONJ fbem-5851 30 19 is be AUX fbem-5851 30 20 assumed assume VERB fbem-5851 30 21 to to PART fbem-5851 30 22 be be AUX fbem-5851 30 23 instantaneous instantaneous ADJ fbem-5851 30 24 . . PUNCT fbem-5851 31 1 ( ( PUNCT fbem-5851 31 2 8) 8) NUM fbem-5851 31 3 consider consider VERB fbem-5851 31 4 safety safety NOUN fbem-5851 31 5 stock stock PROPN fbem-5851 31 6 𝑆𝑆 𝑆𝑆 PROPN fbem-5851 31 7 𝑧 𝑧 PROPN fbem-5851 31 8 𝜎 𝜎 PROPN fbem-5851 31 9 𝐿 𝐿 PROPN fbem-5851 31 10 , , PUNCT fbem-5851 31 11 with with ADP fbem-5851 31 12 𝑧 𝑧 PRON fbem-5851 31 13 being be AUX fbem-5851 31 14 the the DET fbem-5851 31 15 safety safety NOUN fbem-5851 31 16 stock stock NOUN fbem-5851 31 17 factor factor NOUN fbem-5851 31 18 and and CCONJ fbem-5851 31 19 𝑧 𝑧 DET fbem-5851 31 20 0 0 NUM fbem-5851 31 21 . . PUNCT fbem-5851 32 1 ( ( PUNCT fbem-5851 32 2 9 9 X fbem-5851 32 3 ) ) PUNCT fbem-5851 32 4 out out ADP fbem-5851 32 5 - - PUNCT fbem-5851 32 6 of of ADP fbem-5851 32 7 - - PUNCT fbem-5851 32 8 stocks stock NOUN fbem-5851 32 9 are be AUX fbem-5851 32 10 allowed allow VERB fbem-5851 32 11 for for ADP fbem-5851 32 12 the the DET fbem-5851 32 13 final final ADJ fbem-5851 32 14 product product NOUN fbem-5851 32 15 and and CCONJ fbem-5851 32 16 the the DET fbem-5851 32 17 cost cost NOUN fbem-5851 32 18 of of ADP fbem-5851 32 19 penalties penalty NOUN fbem-5851 32 20 caused cause VERB fbem-5851 32 21 by by ADP fbem-5851 32 22 out out ADV fbem-5851 32 23 - - PUNCT fbem-5851 32 24 of of ADP fbem-5851 32 25 - - PUNCT fbem-5851 32 26 stocks stock NOUN fbem-5851 32 27 is be AUX fbem-5851 32 28 borne bear VERB fbem-5851 32 29 by by ADP fbem-5851 32 30 the the DET fbem-5851 32 31 manufacturer manufacturer NOUN fbem-5851 32 32 . . PUNCT fbem-5851 33 1 ( ( PUNCT fbem-5851 33 2 10 10 NUM fbem-5851 33 3 ) ) PUNCT fbem-5851 33 4 service service NOUN fbem-5851 33 5 levels level NOUN fbem-5851 33 6 remain remain VERB fbem-5851 33 7 consistent consistent ADJ fbem-5851 33 8 across across ADP fbem-5851 33 9 suppliers supplier NOUN fbem-5851 33 10 , , PUNCT fbem-5851 33 11 above above ADP fbem-5851 33 12 96 96 NUM fbem-5851 33 13 % % NOUN fbem-5851 33 14 . . PUNCT fbem-5851 34 1 3.2 3.2 NUM fbem-5851 34 2 . . PUNCT fbem-5851 35 1 symbolic symbolic ADJ fbem-5851 35 2 definitions definition NOUN fbem-5851 35 3 n n PRON fbem-5851 35 4 β€” β€” PUNCT fbem-5851 35 5 β€” β€” PUNCT fbem-5851 35 6 number number NOUN fbem-5851 35 7 of of ADP fbem-5851 35 8 suppliers supplier NOUN fbem-5851 35 9 of of ADP fbem-5851 35 10 spare spare ADJ fbem-5851 35 11 parts part NOUN fbem-5851 35 12 . . PUNCT fbem-5851 36 1 i i PRON fbem-5851 36 2 β€” β€” PUNCT fbem-5851 36 3 β€” β€” PUNCT fbem-5851 36 4 suppliers supplier NOUN fbem-5851 36 5 and and CCONJ fbem-5851 36 6 their their PRON fbem-5851 36 7 part part NOUN fbem-5851 36 8 codes code NOUN fbem-5851 36 9 . . PUNCT fbem-5851 37 1 i i PRON fbem-5851 37 2 = = NOUN fbem-5851 37 3 1,2, 1,2, NUM fbem-5851 37 4 … … PUNCT fbem-5851 37 5 ,n ,n NOUN fbem-5851 37 6 ; ; PUNCT fbem-5851 37 7 d d X fbem-5851 37 8 β€” β€” PUNCT fbem-5851 37 9 β€” β€” PUNCT fbem-5851 37 10 the the DET fbem-5851 37 11 manufacturer manufacturer NOUN fbem-5851 37 12 's 's PART fbem-5851 37 13 demand demand NOUN fbem-5851 37 14 for for ADP fbem-5851 37 15 parts part NOUN fbem-5851 37 16 for for ADP fbem-5851 37 17 a a DET fbem-5851 37 18 cycle cycle NOUN fbem-5851 37 19 year year NOUN fbem-5851 37 20 . . PUNCT fbem-5851 38 1 𝑄 𝑄 PRON fbem-5851 38 2 β€” β€” PUNCT fbem-5851 38 3 β€” β€” PUNCT fbem-5851 38 4 replenishment replenishment NOUN fbem-5851 38 5 quantity quantity NOUN fbem-5851 38 6 for for ADP fbem-5851 38 7 supplier supplier NOUN fbem-5851 38 8 i i PRON fbem-5851 38 9 ( ( PUNCT fbem-5851 38 10 decision decision NOUN fbem-5851 38 11 variable variable NOUN fbem-5851 38 12 ) ) PUNCT fbem-5851 38 13 ; ; PUNCT fbem-5851 38 14 𝑄 𝑄 PRON fbem-5851 38 15 β€” β€” PUNCT fbem-5851 38 16 β€” β€” PUNCT fbem-5851 38 17 the the DET fbem-5851 38 18 quantity quantity NOUN fbem-5851 38 19 produced produce VERB fbem-5851 38 20 by by ADP fbem-5851 38 21 supplier supplier NOUN fbem-5851 38 22 i. i. NOUN fbem-5851 38 23 𝑄 𝑄 PROPN fbem-5851 38 24 π‘˜π‘„ π‘˜π‘„ VERB fbem-5851 38 25 , , PUNCT fbem-5851 38 26 π‘˜ π‘˜ PRON fbem-5851 38 27 1 1 NUM fbem-5851 38 28 ; ; PUNCT fbem-5851 38 29 𝑏 𝑏 PROPN fbem-5851 38 30 , , PUNCT fbem-5851 38 31 𝐡 𝐡 NOUN fbem-5851 38 32 β€” β€” PUNCT fbem-5851 38 33 β€” β€” PUNCT fbem-5851 38 34 denotes denote VERB fbem-5851 38 35 the the DET fbem-5851 38 36 lead lead ADJ fbem-5851 38 37 time time NOUN fbem-5851 38 38 for for ADP fbem-5851 38 39 a a DET fbem-5851 38 40 single single ADJ fbem-5851 38 41 adjustment adjustment NOUN fbem-5851 38 42 of of ADP fbem-5851 38 43 a a DET fbem-5851 38 44 component component NOUN fbem-5851 38 45 produced produce VERB fbem-5851 38 46 by by ADP fbem-5851 38 47 supplier supplier NOUN fbem-5851 38 48 i i PRON fbem-5851 38 49 and and CCONJ fbem-5851 38 50 its its PRON fbem-5851 38 51 corresponding corresponding ADJ fbem-5851 38 52 cost cost NOUN fbem-5851 38 53 , , PUNCT fbem-5851 38 54 respectively respectively ADV fbem-5851 38 55 . . PUNCT fbem-5851 39 1 𝑆𝐿 𝑆𝐿 INTJ fbem-5851 39 2 β€” β€” PUNCT fbem-5851 39 3 β€” β€” PUNCT fbem-5851 39 4 the the DET fbem-5851 39 5 service service NOUN fbem-5851 39 6 level level NOUN fbem-5851 39 7 of of ADP fbem-5851 39 8 supplier supplier NOUN fbem-5851 39 9 i. i. NOUN fbem-5851 39 10 𝐹 𝐹 PROPN fbem-5851 39 11 β€” β€” PUNCT fbem-5851 39 12 β€” β€” PUNCT fbem-5851 39 13 a a DET fbem-5851 39 14 fixed fix VERB fbem-5851 39 15 fee fee NOUN fbem-5851 39 16 for for ADP fbem-5851 39 17 one one NUM fbem-5851 39 18 delivery delivery NOUN fbem-5851 39 19 of of ADP fbem-5851 39 20 replenishment replenishment NOUN fbem-5851 39 21 to to ADP fbem-5851 39 22 supply supply NOUN fbem-5851 39 23 - - PUNCT fbem-5851 39 24 hub hub NOUN fbem-5851 39 25 by by ADP fbem-5851 39 26 supplier supplier NOUN fbem-5851 39 27 i. i. NOUN fbem-5851 39 28 β„Ž β„Ž PROPN fbem-5851 39 29 、 、 NOUN fbem-5851 39 30 β„Ž β„Ž NOUN fbem-5851 39 31 β€” β€” PUNCT fbem-5851 39 32 β€” β€” PUNCT fbem-5851 39 33 denotes denote VERB fbem-5851 39 34 the the DET fbem-5851 39 35 unit unit NOUN fbem-5851 39 36 inventory inventory NOUN fbem-5851 39 37 cost cost NOUN fbem-5851 39 38 of of ADP fbem-5851 39 39 component component NOUN fbem-5851 39 40 i i PRON fbem-5851 39 41 at at ADP fbem-5851 39 42 the the DET fbem-5851 39 43 supplier supplier NOUN fbem-5851 39 44 , , PUNCT fbem-5851 39 45 supply supply NOUN fbem-5851 39 46 - - PUNCT fbem-5851 39 47 hub hub NOUN fbem-5851 39 48 , , PUNCT fbem-5851 39 49 respectively respectively ADV fbem-5851 39 50 . . PUNCT fbem-5851 40 1 Ο€ Ο€ X fbem-5851 40 2 β€”β€” β€”β€” PUNCT fbem-5851 40 3 the the DET fbem-5851 40 4 cost cost NOUN fbem-5851 40 5 of of ADP fbem-5851 40 6 out out ADP fbem-5851 40 7 - - PUNCT fbem-5851 40 8 of of ADP fbem-5851 40 9 - - PUNCT fbem-5851 40 10 stock stock NOUN fbem-5851 40 11 penalties penalty NOUN fbem-5851 40 12 per per ADP fbem-5851 40 13 unit unit NOUN fbem-5851 40 14 of of ADP fbem-5851 40 15 product product NOUN fbem-5851 40 16 per per ADP fbem-5851 40 17 unit unit NOUN fbem-5851 40 18 of of ADP fbem-5851 40 19 time time NOUN fbem-5851 40 20 . . PUNCT fbem-5851 41 1 f f X fbem-5851 41 2 ( ( PUNCT fbem-5851 41 3 . . PUNCT fbem-5851 41 4 ) ) PUNCT fbem-5851 41 5 β€” β€” PUNCT fbem-5851 41 6 β€” β€” PUNCT fbem-5851 41 7 the the DET fbem-5851 41 8 probability probability NOUN fbem-5851 41 9 density density NOUN fbem-5851 41 10 function function NOUN fbem-5851 41 11 of of ADP fbem-5851 41 12 demand demand NOUN fbem-5851 41 13 per per ADP fbem-5851 41 14 unit unit NOUN fbem-5851 41 15 of of ADP fbem-5851 41 16 time time NOUN fbem-5851 41 17 . . PUNCT fbem-5851 42 1 𝑓 𝑓 DET fbem-5851 42 2 π‘₯ π‘₯ INTJ fbem-5851 42 3 √ √ ADJ fbem-5851 42 4 𝑒π‘₯𝑝 𝑒π‘₯𝑝 INTJ fbem-5851 42 5 ; ; PUNCT fbem-5851 42 6 𝐿 𝐿 PROPN fbem-5851 42 7 β€” β€” PUNCT fbem-5851 42 8 β€” β€” PUNCT fbem-5851 42 9 lead lead ADJ fbem-5851 42 10 time time NOUN fbem-5851 42 11 for for ADP fbem-5851 42 12 replenishment replenishment NOUN fbem-5851 42 13 of of ADP fbem-5851 42 14 part part NOUN fbem-5851 42 15 i. i. PROPN fbem-5851 42 16 𝑓 𝑓 PROPN fbem-5851 42 17 π‘₯ π‘₯ X fbem-5851 42 18 β€” β€” PUNCT fbem-5851 42 19 β€” β€” PUNCT fbem-5851 42 20 probability probability NOUN fbem-5851 42 21 density density NOUN fbem-5851 42 22 function function NOUN fbem-5851 42 23 of of ADP fbem-5851 42 24 the the DET fbem-5851 42 25 demand demand NOUN fbem-5851 42 26 occurring occur VERB fbem-5851 42 27 within within ADP fbem-5851 42 28 the the DET fbem-5851 42 29 replenishment replenishment NOUN fbem-5851 42 30 lead lead NOUN fbem-5851 42 31 time time NOUN fbem-5851 42 32 l_i l_i PUNCT fbem-5851 42 33 for for ADP fbem-5851 42 34 part part NOUN fbem-5851 42 35 i. i. PROPN fbem-5851 42 36 𝑓 𝑓 PROPN fbem-5851 42 37 π‘₯ π‘₯ X fbem-5851 43 1 𝑒π‘₯𝑝 𝑒π‘₯𝑝 INTJ fbem-5851 43 2 ; ; PUNCT fbem-5851 43 3 π‘Ÿ π‘Ÿ X fbem-5851 43 4 β€” β€” PUNCT fbem-5851 43 5 β€” β€” PUNCT fbem-5851 43 6 denotes denote VERB fbem-5851 43 7 the the DET fbem-5851 43 8 order order NOUN fbem-5851 43 9 point point NOUN fbem-5851 43 10 for for ADP fbem-5851 43 11 part part NOUN fbem-5851 43 12 i. i. NOUN fbem-5851 43 13 π‘Ÿ π‘Ÿ PROPN fbem-5851 43 14 πœ‡ πœ‡ ADP fbem-5851 43 15 𝐿 𝐿 PROPN fbem-5851 43 16 𝑧 𝑧 PROPN fbem-5851 43 17 𝜎 𝜎 PROPN fbem-5851 43 18 𝐿 𝐿 PROPN fbem-5851 43 19 . . PUNCT fbem-5851 44 1 4 4 X fbem-5851 44 2 . . X fbem-5851 44 3 mathematical mathematical ADJ fbem-5851 44 4 models model NOUN fbem-5851 44 5 a a DET fbem-5851 44 6 mathematical mathematical ADJ fbem-5851 44 7 model model NOUN fbem-5851 44 8 is be AUX fbem-5851 44 9 constructed construct VERB fbem-5851 44 10 with with ADP fbem-5851 44 11 the the DET fbem-5851 44 12 objective objective NOUN fbem-5851 44 13 of of ADP fbem-5851 44 14 minimising minimise VERB fbem-5851 44 15 the the DET fbem-5851 44 16 operational operational ADJ fbem-5851 44 17 costs cost NOUN fbem-5851 44 18 of of ADP fbem-5851 44 19 supply supply NOUN fbem-5851 44 20 logistics logistic NOUN fbem-5851 44 21 , , PUNCT fbem-5851 44 22 and and CCONJ fbem-5851 44 23 the the DET fbem-5851 44 24 analytical analytical ADJ fbem-5851 44 25 equations equation NOUN fbem-5851 44 26 for for ADP fbem-5851 44 27 the the DET fbem-5851 44 28 order order NOUN fbem-5851 44 29 points point NOUN fbem-5851 44 30 and and CCONJ fbem-5851 44 31 replenishment replenishment NOUN fbem-5851 44 32 batches batch NOUN fbem-5851 44 33 of of ADP fbem-5851 44 34 components component NOUN fbem-5851 44 35 are be AUX fbem-5851 44 36 derived derive VERB fbem-5851 44 37 using use VERB fbem-5851 44 38 mathematical mathematical ADJ fbem-5851 44 39 theory theory NOUN fbem-5851 44 40 . . PUNCT fbem-5851 45 1 in in ADP fbem-5851 45 2 order order NOUN fbem-5851 45 3 to to PART fbem-5851 45 4 simplify simplify VERB fbem-5851 45 5 the the DET fbem-5851 45 6 calculations calculation NOUN fbem-5851 45 7 and and CCONJ fbem-5851 45 8 to to PART fbem-5851 45 9 keep keep VERB fbem-5851 45 10 the the DET fbem-5851 45 11 service service NOUN fbem-5851 45 12 levels level NOUN fbem-5851 45 13 consistent consistent ADJ fbem-5851 45 14 across across ADP fbem-5851 45 15 suppliers supplier NOUN fbem-5851 45 16 , , PUNCT fbem-5851 45 17 𝑆𝐿 𝑆𝐿 PROPN fbem-5851 45 18 𝑆𝐿 𝑆𝐿 PROPN fbem-5851 45 19 𝑖 𝑖 NOUN fbem-5851 45 20 1,2 1,2 NUM fbem-5851 45 21 , , PUNCT fbem-5851 45 22 … … PUNCT fbem-5851 45 23 , , PUNCT fbem-5851 45 24 𝑛 𝑛 PRON fbem-5851 45 25 , , PUNCT fbem-5851 45 26 this this DET fbem-5851 45 27 gives:𝑧 gives:𝑧 NOUN fbem-5851 45 28 𝑧 𝑧 VERB fbem-5851 45 29 𝑖 𝑖 SYM fbem-5851 45 30 1,2 1,2 NUM fbem-5851 45 31 , , PUNCT fbem-5851 45 32 … … PUNCT fbem-5851 45 33 , , PUNCT fbem-5851 45 34 𝑛 𝑛 PROPN fbem-5851 45 35 . . PUNCT fbem-5851 46 1 under under ADP fbem-5851 46 2 demand demand NOUN fbem-5851 46 3 uncertainty uncertainty NOUN fbem-5851 46 4 , , PUNCT fbem-5851 46 5 the the DET fbem-5851 46 6 components component NOUN fbem-5851 46 7 of of ADP fbem-5851 46 8 supply supply NOUN fbem-5851 46 9 logistics logistic NOUN fbem-5851 46 10 synergy synergy NOUN fbem-5851 46 11 operating operating NOUN fbem-5851 46 12 costs cost NOUN fbem-5851 46 13 are be AUX fbem-5851 46 14 considered consider VERB fbem-5851 46 15 to to PART fbem-5851 46 16 include include VERB fbem-5851 46 17 mainly mainly ADV fbem-5851 46 18 inventory inventory NOUN fbem-5851 46 19 holding hold VERB fbem-5851 46 20 costs cost NOUN fbem-5851 46 21 , , PUNCT fbem-5851 46 22 replenishment replenishment NOUN fbem-5851 46 23 costs cost NOUN fbem-5851 46 24 , , PUNCT fbem-5851 46 25 component component NOUN fbem-5851 46 26 demurrage demurrage NOUN fbem-5851 46 27 costs cost NOUN fbem-5851 46 28 and and CCONJ fbem-5851 46 29 penalty penalty NOUN fbem-5851 46 30 costs cost NOUN fbem-5851 46 31 when when SCONJ fbem-5851 46 32 the the DET fbem-5851 46 33 final final ADJ fbem-5851 46 34 product product NOUN fbem-5851 46 35 is be AUX fbem-5851 46 36 out out ADP fbem-5851 46 37 of of ADP fbem-5851 46 38 stock stock NOUN fbem-5851 46 39 for for ADP fbem-5851 46 40 each each DET fbem-5851 46 41 node node ADJ fbem-5851 46 42 company company NOUN fbem-5851 46 43 . . PUNCT fbem-5851 47 1 the the DET fbem-5851 47 2 planned plan VERB fbem-5851 47 3 supply supply NOUN fbem-5851 47 4 logistics logistic NOUN fbem-5851 47 5 operating operating NOUN fbem-5851 47 6 cost cost NOUN fbem-5851 47 7 for for ADP fbem-5851 47 8 a a DET fbem-5851 47 9 cycle cycle NOUN fbem-5851 47 10 ( ( PUNCT fbem-5851 47 11 year year NOUN fbem-5851 47 12 ) ) PUNCT fbem-5851 47 13 is be AUX fbem-5851 47 14 𝐸 𝐸 PRON fbem-5851 47 15 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 47 16 : : PUNCT fbem-5851 48 1 𝐸 𝐸 ADJ fbem-5851 48 2 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 48 3 𝐷𝐡 𝐷𝐡 NOUN fbem-5851 48 4 π‘˜π‘„ π‘˜π‘„ NOUN fbem-5851 48 5 π‘˜ π‘˜ PRON fbem-5851 48 6 1 1 NUM fbem-5851 48 7 𝑄 𝑄 NOUN fbem-5851 48 8 β„Ž β„Ž ADP fbem-5851 48 9 2 2 NUM fbem-5851 48 10 𝐷 𝐷 NOUN fbem-5851 48 11 𝑄 𝑄 NOUN fbem-5851 48 12 𝐹 𝐹 PROPN fbem-5851 48 13 β„Ž β„Ž VERB fbem-5851 48 14 𝑄 𝑄 PROPN fbem-5851 48 15 2 2 NUM fbem-5851 48 16 𝑧 𝑧 PRON fbem-5851 48 17 𝜎 𝜎 ADJ fbem-5851 48 18 𝐿 𝐿 NOUN fbem-5851 48 19 β„Ž β„Ž PROPN fbem-5851 48 20 𝐷 𝐷 NOUN fbem-5851 48 21 𝑄 𝑄 NOUN fbem-5851 48 22 π‘₯ π‘₯ VERB fbem-5851 48 23 π‘Ÿ π‘Ÿ NOUN fbem-5851 48 24 𝑓 𝑓 PRON fbem-5851 48 25 π‘₯ π‘₯ NOUN fbem-5851 48 26 𝑑π‘₯ 𝑑π‘₯ ADP fbem-5851 48 27 πœ‹ πœ‹ NOUN fbem-5851 48 28 𝐷 𝐷 NOUN fbem-5851 48 29 𝑄 𝑄 NOUN fbem-5851 48 30 π‘₯ π‘₯ VERB fbem-5851 48 31 π‘Ÿ π‘Ÿ NOUN fbem-5851 48 32 𝑓 𝑓 PRON fbem-5851 48 33 π‘₯ π‘₯ ADV fbem-5851 48 34 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-5851 48 35 ( ( PUNCT fbem-5851 48 36 1 1 X fbem-5851 48 37 ) ) PUNCT fbem-5851 48 38 taking take VERB fbem-5851 48 39 the the DET fbem-5851 48 40 derivative derivative NOUN fbem-5851 48 41 of of ADP fbem-5851 48 42 𝐸 𝐸 NOUN fbem-5851 48 43 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 48 44 with with ADP fbem-5851 48 45 respect respect NOUN fbem-5851 48 46 to to ADP fbem-5851 48 47 𝑄 𝑄 PROPN fbem-5851 48 48 yields yield NOUN fbem-5851 48 49 : : PUNCT fbem-5851 48 50 79 79 NUM fbem-5851 48 51 πœ•πΈ πœ•πΈ ADP fbem-5851 48 52 𝑇𝐢 𝑇𝐢 PROPN fbem-5851 48 53 πœ•π‘„ πœ•π‘„ NUM fbem-5851 48 54 𝐷𝐡 𝐷𝐡 NOUN fbem-5851 49 1 π‘˜π‘„ π‘˜π‘„ VERB fbem-5851 49 2 π‘˜ π‘˜ PRON fbem-5851 49 3 1 1 NUM fbem-5851 49 4 β„Ž β„Ž SYM fbem-5851 49 5 2 2 NUM fbem-5851 49 6 𝐷𝐹 𝐷𝐹 PROPN fbem-5851 49 7 𝑄 𝑄 PROPN fbem-5851 49 8 β„Ž β„Ž PROPN fbem-5851 49 9 2 2 NUM fbem-5851 49 10 β„Ž β„Ž NOUN fbem-5851 49 11 β„Ž β„Ž ADP fbem-5851 49 12 β„Ž β„Ž PROPN fbem-5851 49 13 β‹― β‹― PROPN fbem-5851 49 14 β„Ž β„Ž PROPN fbem-5851 49 15 𝐷 𝐷 VERB fbem-5851 49 16 𝑄 𝑄 NOUN fbem-5851 49 17 π‘₯ π‘₯ PROPN fbem-5851 49 18 π‘Ÿ π‘Ÿ NOUN fbem-5851 49 19 𝑓 𝑓 PRON fbem-5851 49 20 π‘₯ π‘₯ NOUN fbem-5851 49 21 𝑑π‘₯ 𝑑π‘₯ ADP fbem-5851 49 22 πœ‹ πœ‹ NOUN fbem-5851 49 23 𝐷 𝐷 NOUN fbem-5851 49 24 𝑄 𝑄 NOUN fbem-5851 49 25 π‘₯ π‘₯ VERB fbem-5851 49 26 π‘Ÿ π‘Ÿ NOUN fbem-5851 49 27 𝑓 𝑓 PRON fbem-5851 49 28 π‘₯ π‘₯ ADV fbem-5851 49 29 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-5851 49 30 ( ( PUNCT fbem-5851 49 31 2 2 NUM fbem-5851 49 32 ) ) PUNCT fbem-5851 49 33 πœ• πœ• NOUN fbem-5851 49 34 𝐸 𝐸 PROPN fbem-5851 49 35 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 49 36 πœ•π‘„ πœ•π‘„ NUM fbem-5851 49 37 2𝐷𝐡 2𝐷𝐡 NUM fbem-5851 49 38 π‘˜π‘„ π‘˜π‘„ NOUN fbem-5851 49 39 2𝐷𝐹 2𝐷𝐹 NUM fbem-5851 49 40 𝑄 𝑄 NOUN fbem-5851 49 41 β„Ž β„Ž NOUN fbem-5851 49 42 β„Ž β„Ž ADP fbem-5851 49 43 β„Ž β„Ž NOUN fbem-5851 49 44 β‹― β‹― NOUN fbem-5851 49 45 β„Ž β„Ž NOUN fbem-5851 49 46 2𝐷 2𝐷 ADJ fbem-5851 49 47 𝑄 𝑄 ADV fbem-5851 50 1 π‘₯ π‘₯ VERB fbem-5851 51 1 π‘Ÿ π‘Ÿ NOUN fbem-5851 52 1 𝑓 𝑓 DET fbem-5851 52 2 π‘₯ π‘₯ NOUN fbem-5851 52 3 𝑑π‘₯ 𝑑π‘₯ ADP fbem-5851 52 4 πœ‹ πœ‹ NOUN fbem-5851 52 5 2𝐷 2𝐷 ADJ fbem-5851 52 6 𝑄 𝑄 ADP fbem-5851 52 7 π‘₯ π‘₯ VERB fbem-5851 52 8 π‘Ÿ π‘Ÿ NOUN fbem-5851 52 9 𝑓 𝑓 DET fbem-5851 52 10 π‘₯ π‘₯ ADV fbem-5851 52 11 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-5851 52 12 ( ( PUNCT fbem-5851 52 13 3 3 NUM fbem-5851 52 14 ) ) PUNCT fbem-5851 52 15 from from ADP fbem-5851 52 16 ( ( PUNCT fbem-5851 52 17 3 3 NUM fbem-5851 52 18 ) ) PUNCT fbem-5851 52 19 , , PUNCT fbem-5851 52 20 the the DET fbem-5851 52 21 supply supply NOUN fbem-5851 52 22 logistics logistic NOUN fbem-5851 52 23 operating operating NOUN fbem-5851 52 24 cost cost NOUN fbem-5851 52 25 𝐸 𝐸 PROPN fbem-5851 52 26 𝑇𝐢 𝑇𝐢 PROPN fbem-5851 52 27 is be AUX fbem-5851 52 28 a a DET fbem-5851 52 29 strictly strictly ADV fbem-5851 52 30 downward downward ADJ fbem-5851 52 31 convex convex NOUN fbem-5851 52 32 function function NOUN fbem-5851 52 33 with with ADP fbem-5851 52 34 respect respect NOUN fbem-5851 52 35 to to ADP fbem-5851 52 36 𝑄 𝑄 PRON fbem-5851 52 37 such such ADJ fbem-5851 52 38 that that SCONJ fbem-5851 52 39 its its PRON fbem-5851 52 40 first first ADJ fbem-5851 52 41 - - PUNCT fbem-5851 52 42 order order NOUN fbem-5851 52 43 partial partial ADJ fbem-5851 52 44 derivative derivative NOUN fbem-5851 52 45 0 0 NUM fbem-5851 52 46 , , PUNCT fbem-5851 52 47 which which PRON fbem-5851 52 48 gives give VERB fbem-5851 52 49 : : PUNCT fbem-5851 52 50 π‘„βˆ— π‘„βˆ— NUM fbem-5851 52 51 2𝐷 2𝐷 NOUN fbem-5851 52 52 𝐡 𝐡 NOUN fbem-5851 53 1 π‘˜ π‘˜ ADP fbem-5851 53 2 𝐹 𝐹 PROPN fbem-5851 53 3 β„Ž β„Ž VERB fbem-5851 53 4 β„Ž β„Ž NOUN fbem-5851 53 5 β‹― β‹― PROPN fbem-5851 53 6 β„Ž β„Ž PROPN fbem-5851 53 7 πœ‹ πœ‹ NOUN fbem-5851 53 8 π‘₯ π‘₯ VERB fbem-5851 53 9 π‘Ÿ π‘Ÿ NOUN fbem-5851 53 10 𝑓 𝑓 DET fbem-5851 53 11 π‘₯ π‘₯ NOUN fbem-5851 53 12 𝑑π‘₯ 𝑑π‘₯ VERB fbem-5851 53 13 π‘˜ π‘˜ PROPN fbem-5851 53 14 1 1 NUM fbem-5851 53 15 β„Ž β„Ž PART fbem-5851 53 16 β„Ž β„Ž PROPN fbem-5851 53 17 ( ( PUNCT fbem-5851 53 18 4 4 NUM fbem-5851 53 19 ) ) PUNCT fbem-5851 53 20 β„Ž β„Ž PROPN fbem-5851 53 21 𝑀 𝑀 PROPN fbem-5851 53 22 ， ， PUNCT fbem-5851 53 23 β„Ž β„Ž PROPN fbem-5851 53 24 πœ‹ πœ‹ NOUN fbem-5851 53 25 𝐼 𝐼 PROPN fbem-5851 53 26 ， ， PUNCT fbem-5851 53 27 π‘₯ π‘₯ PROPN fbem-5851 53 28 π‘Ÿ π‘Ÿ NOUN fbem-5851 54 1 𝑓 𝑓 PRON fbem-5851 54 2 π‘₯ π‘₯ NOUN fbem-5851 54 3 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-5851 54 4 𝑁 𝑁 PROPN fbem-5851 54 5 , , PUNCT fbem-5851 54 6 π‘˜ π‘˜ PRON fbem-5851 54 7 1 1 NUM fbem-5851 54 8 β„Ž β„Ž X fbem-5851 54 9 β„Ž β„Ž PROPN fbem-5851 54 10 𝐴 𝐴 PROPN fbem-5851 54 11 : : PUNCT fbem-5851 54 12 π‘„βˆ— π‘„βˆ— NUM fbem-5851 55 1 2𝐷 2𝐷 NOUN fbem-5851 55 2 𝐡 𝐡 NOUN fbem-5851 55 3 π‘˜ π‘˜ ADP fbem-5851 55 4 𝐹 𝐹 PROPN fbem-5851 55 5 𝐼𝑁 𝐼𝑁 PROPN fbem-5851 55 6 𝐴 𝐴 PROPN fbem-5851 55 7 ( ( PUNCT fbem-5851 55 8 5 5 NUM fbem-5851 55 9 ) ) PUNCT fbem-5851 55 10 substituting substitute VERB fbem-5851 55 11 π‘„βˆ— π‘„βˆ— PROPN fbem-5851 55 12 into into ADP fbem-5851 55 13 ( ( PUNCT fbem-5851 55 14 1 1 NUM fbem-5851 55 15 ) ) PUNCT fbem-5851 55 16 , , PUNCT fbem-5851 55 17 we we PRON fbem-5851 55 18 get get VERB fbem-5851 55 19 : : PUNCT fbem-5851 55 20 𝐸 𝐸 PROPN fbem-5851 55 21 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 55 22 2𝐷𝐴 2𝐷𝐴 NUM fbem-5851 55 23 𝐡 𝐡 NOUN fbem-5851 55 24 π‘˜ π‘˜ X fbem-5851 55 25 𝐹 𝐹 PROPN fbem-5851 55 26 𝐼𝑁 𝐼𝑁 PROPN fbem-5851 55 27 β„Ž β„Ž PROPN fbem-5851 55 28 π‘§πœŽ π‘§πœŽ PROPN fbem-5851 55 29 𝐿 𝐿 PROPN fbem-5851 55 30 ( ( PUNCT fbem-5851 55 31 6 6 NUM fbem-5851 55 32 ) ) PUNCT fbem-5851 55 33 this this PRON fbem-5851 55 34 will will AUX fbem-5851 55 35 be be AUX fbem-5851 55 36 given give VERB fbem-5851 55 37 byπ‘Ÿ byπ‘Ÿ PROPN fbem-5851 55 38 πœ‡ πœ‡ ADP fbem-5851 55 39 𝐿 𝐿 PROPN fbem-5851 55 40 𝑧 𝑧 PROPN fbem-5851 55 41 𝜎 𝜎 PROPN fbem-5851 55 42 𝐿 𝐿 NOUN fbem-5851 55 43 : : PUNCT fbem-5851 55 44 𝑁 𝑁 ADP fbem-5851 55 45 π‘Ÿ π‘Ÿ X fbem-5851 55 46 π‘₯ π‘₯ X fbem-5851 55 47 πœ‡ πœ‡ ADP fbem-5851 55 48 𝐿 𝐿 PROPN fbem-5851 55 49 𝑧 𝑧 X fbem-5851 55 50 𝜎 𝜎 PROPN fbem-5851 55 51 𝐿 𝐿 PROPN fbem-5851 55 52 1 1 NUM fbem-5851 55 53 𝜎 𝜎 NOUN fbem-5851 55 54 2πœ‹πΏ 2πœ‹πΏ NUM fbem-5851 55 55 𝑒π‘₯𝑝 𝑒π‘₯𝑝 INTJ fbem-5851 55 56 π‘₯ π‘₯ X fbem-5851 55 57 πœ‡ πœ‡ ADP fbem-5851 55 58 𝐿 𝐿 PROPN fbem-5851 55 59 2𝜎 2𝜎 PROPN fbem-5851 55 60 𝐿 𝐿 PROPN fbem-5851 55 61 𝑑π‘₯ 𝑑π‘₯ VERB fbem-5851 55 62 𝑁 𝑁 PROPN fbem-5851 55 63 π‘Ÿ π‘Ÿ NOUN fbem-5851 55 64 𝜎 𝜎 NOUN fbem-5851 55 65 𝐿 𝐿 NOUN fbem-5851 55 66 πœ‘ πœ‘ NOUN fbem-5851 55 67 𝑧 𝑧 NOUN fbem-5851 55 68 𝑧 𝑧 DET fbem-5851 55 69 1 1 NUM fbem-5851 55 70 βˆ… βˆ… NOUN fbem-5851 55 71 𝑧 𝑧 X fbem-5851 55 72 ( ( PUNCT fbem-5851 55 73 7 7 NUM fbem-5851 55 74 ) ) PUNCT fbem-5851 55 75 substituting substitute VERB fbem-5851 55 76 ( ( PUNCT fbem-5851 55 77 7 7 NUM fbem-5851 55 78 ) ) PUNCT fbem-5851 55 79 into into ADP fbem-5851 55 80 ( ( PUNCT fbem-5851 55 81 6 6 NUM fbem-5851 55 82 ) ) PUNCT fbem-5851 55 83 , , PUNCT fbem-5851 55 84 the the DET fbem-5851 55 85 solution solution NOUN fbem-5851 55 86 yields yield VERB fbem-5851 55 87 the the DET fbem-5851 55 88 cost cost NOUN fbem-5851 55 89 of of ADP fbem-5851 55 90 supply supply NOUN fbem-5851 55 91 logistics logistic NOUN fbem-5851 55 92 operations operation NOUN fbem-5851 55 93 under under ADP fbem-5851 55 94 optimal optimal ADJ fbem-5851 55 95 distribution distribution NOUN fbem-5851 55 96 π‘„βˆ— π‘„βˆ— NOUN fbem-5851 55 97 : : PUNCT fbem-5851 55 98 𝐸 𝐸 PROPN fbem-5851 55 99 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 55 100 2𝐷𝐴 2𝐷𝐴 NUM fbem-5851 55 101 𝐡 𝐡 NOUN fbem-5851 55 102 π‘˜ π‘˜ X fbem-5851 55 103 𝐹 𝐹 PROPN fbem-5851 55 104 𝐼𝜎 𝐼𝜎 VERB fbem-5851 55 105 𝐿 𝐿 PROPN fbem-5851 56 1 πœ‘ πœ‘ NOUN fbem-5851 56 2 𝑧 𝑧 PRON fbem-5851 56 3 𝑧 𝑧 DET fbem-5851 56 4 1 1 NUM fbem-5851 56 5 βˆ… βˆ… NOUN fbem-5851 56 6 𝑧 𝑧 VERB fbem-5851 56 7 β„Ž β„Ž PROPN fbem-5851 56 8 π‘§πœŽ π‘§πœŽ PROPN fbem-5851 56 9 𝐿 𝐿 PROPN fbem-5851 56 10 ( ( PUNCT fbem-5851 56 11 8) 8) NUM fbem-5851 56 12 taking take VERB fbem-5851 56 13 the the DET fbem-5851 56 14 derivative derivative NOUN fbem-5851 56 15 of of ADP fbem-5851 56 16 ( ( PUNCT fbem-5851 56 17 8) 8) NUM fbem-5851 56 18 with with ADP fbem-5851 56 19 respect respect NOUN fbem-5851 56 20 to to ADP fbem-5851 56 21 z z NOUN fbem-5851 56 22 yields yield NOUN fbem-5851 56 23 : : PUNCT fbem-5851 56 24 𝑑𝐸 𝑑𝐸 PROPN fbem-5851 56 25 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 56 26 𝑑𝑧 𝑑𝑧 NOUN fbem-5851 56 27 𝐷𝐴 𝐷𝐴 NOUN fbem-5851 56 28 𝐼𝜎 𝐼𝜎 ADP fbem-5851 56 29 𝐿 𝐿 NOUN fbem-5851 56 30 1 1 NUM fbem-5851 56 31 βˆ… βˆ… NOUN fbem-5851 56 32 𝑧 𝑧 DET fbem-5851 56 33 2𝐷𝐴 2𝐷𝐴 NUM fbem-5851 56 34 𝐡 𝐡 NOUN fbem-5851 56 35 π‘˜ π‘˜ X fbem-5851 56 36 𝐹 𝐹 PROPN fbem-5851 56 37 𝐼𝜎 𝐼𝜎 VERB fbem-5851 56 38 𝐿 𝐿 PROPN fbem-5851 56 39 πœ‘ πœ‘ NOUN fbem-5851 56 40 𝑧 𝑧 DET fbem-5851 56 41 𝑧 𝑧 DET fbem-5851 56 42 1 1 NUM fbem-5851 56 43 βˆ… βˆ… NOUN fbem-5851 56 44 𝑧 𝑧 VERB fbem-5851 56 45 β„Ž β„Ž X fbem-5851 56 46 𝜎 𝜎 PROPN fbem-5851 56 47 𝐿 𝐿 PROPN fbem-5851 56 48 𝑑 𝑑 PROPN fbem-5851 56 49 𝐸 𝐸 PROPN fbem-5851 57 1 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 57 2 𝑑𝑧 𝑑𝑧 NOUN fbem-5851 57 3 𝐷𝐴 𝐷𝐴 NOUN fbem-5851 57 4 𝐼𝜎 𝐼𝜎 INTJ fbem-5851 57 5 𝐿 𝐿 NOUN fbem-5851 57 6 πœ‘ πœ‘ NOUN fbem-5851 57 7 𝑧 𝑧 PROPN fbem-5851 57 8 2𝐷𝐴 2𝐷𝐴 NUM fbem-5851 57 9 𝐡 𝐡 NOUN fbem-5851 57 10 π‘˜ π‘˜ X fbem-5851 57 11 𝐹 𝐹 PROPN fbem-5851 57 12 𝐼𝜎 𝐼𝜎 VERB fbem-5851 57 13 𝐿 𝐿 PROPN fbem-5851 57 14 πœ‘ πœ‘ NOUN fbem-5851 57 15 𝑧 𝑧 DET fbem-5851 57 16 𝑧 𝑧 DET fbem-5851 57 17 1 1 NUM fbem-5851 57 18 βˆ… βˆ… NOUN fbem-5851 57 19 𝑧 𝑧 DET fbem-5851 57 20 𝐷𝐴 𝐷𝐴 NOUN fbem-5851 58 1 𝐼𝜎 𝐼𝜎 ADP fbem-5851 58 2 𝐿 𝐿 NOUN fbem-5851 58 3 1 1 NUM fbem-5851 58 4 βˆ… βˆ… NOUN fbem-5851 58 5 𝑧 𝑧 DET fbem-5851 58 6 𝐷𝐴 𝐷𝐴 NOUN fbem-5851 58 7 𝐡 𝐡 NOUN fbem-5851 58 8 π‘˜ π‘˜ INTJ fbem-5851 58 9 𝐹 𝐹 PROPN fbem-5851 59 1 𝐼𝜎 𝐼𝜎 VERB fbem-5851 59 2 𝐿 𝐿 PROPN fbem-5851 59 3 πœ‘ πœ‘ NOUN fbem-5851 59 4 𝑧 𝑧 DET fbem-5851 59 5 𝑧 𝑧 DET fbem-5851 59 6 1 1 NUM fbem-5851 59 7 βˆ… βˆ… NOUN fbem-5851 59 8 𝑧 𝑧 ADV fbem-5851 59 9 0 0 NUM fbem-5851 59 10 it it PRON fbem-5851 59 11 follows follow VERB fbem-5851 59 12 from from ADP fbem-5851 59 13 0 0 NUM fbem-5851 59 14 that that SCONJ fbem-5851 59 15 the the DET fbem-5851 59 16 operating operating NOUN fbem-5851 59 17 cost cost NOUN fbem-5851 59 18 𝐸 𝐸 PROPN fbem-5851 59 19 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 59 20 per per ADP fbem-5851 59 21 unit unit NOUN fbem-5851 59 22 time time NOUN fbem-5851 59 23 of of ADP fbem-5851 59 24 supply supply NOUN fbem-5851 59 25 logistics logistic NOUN fbem-5851 59 26 is be AUX fbem-5851 59 27 a a DET fbem-5851 59 28 strictly strictly ADV fbem-5851 59 29 downward downward ADJ fbem-5851 59 30 convex convex NOUN fbem-5851 59 31 function function NOUN fbem-5851 59 32 about about ADP fbem-5851 59 33 z. z. PROPN fbem-5851 59 34 letting let VERB fbem-5851 59 35 0 0 NUM fbem-5851 59 36 yields yield NOUN fbem-5851 59 37 π‘§βˆ— π‘§βˆ— PROPN fbem-5851 59 38 : : PUNCT fbem-5851 59 39 β„Ž β„Ž PROPN fbem-5851 59 40 𝜎 𝜎 PROPN fbem-5851 59 41 𝐿 𝐿 NOUN fbem-5851 59 42 𝐷𝐴 𝐷𝐴 NOUN fbem-5851 59 43 𝐼𝜎 𝐼𝜎 ADP fbem-5851 59 44 𝐿 𝐿 NOUN fbem-5851 59 45 1 1 NUM fbem-5851 59 46 βˆ… βˆ… NOUN fbem-5851 59 47 𝑧 𝑧 DET fbem-5851 59 48 2𝐷𝐴 2𝐷𝐴 NUM fbem-5851 59 49 𝐡 𝐡 NOUN fbem-5851 59 50 π‘˜ π‘˜ X fbem-5851 59 51 𝐹 𝐹 PROPN fbem-5851 59 52 𝐼𝜎 𝐼𝜎 VERB fbem-5851 59 53 𝐿 𝐿 PROPN fbem-5851 60 1 πœ‘ πœ‘ NOUN fbem-5851 60 2 𝑧 𝑧 PRON fbem-5851 60 3 𝑧 𝑧 DET fbem-5851 60 4 1 1 NUM fbem-5851 60 5 βˆ… βˆ… NOUN fbem-5851 60 6 𝑧 𝑧 ADJ fbem-5851 60 7 0 0 NUM fbem-5851 60 8 ( ( PUNCT fbem-5851 60 9 9 9 X fbem-5851 60 10 ) ) PUNCT fbem-5851 60 11 solving solve VERB fbem-5851 60 12 for for ADP fbem-5851 60 13 ( ( PUNCT fbem-5851 60 14 9 9 NUM fbem-5851 60 15 ) ) PUNCT fbem-5851 60 16 gives give VERB fbem-5851 60 17 a a DET fbem-5851 60 18 safety safety NOUN fbem-5851 60 19 stock stock NOUN fbem-5851 60 20 factor factor NOUN fbem-5851 60 21 π‘§βˆ— π‘§βˆ— PROPN fbem-5851 60 22 , , PUNCT fbem-5851 60 23 which which PRON fbem-5851 60 24 gives give VERB fbem-5851 60 25 the the DET fbem-5851 60 26 service service NOUN fbem-5851 60 27 level level NOUN fbem-5851 60 28 of of ADP fbem-5851 60 29 each each DET fbem-5851 60 30 supplier supplier NOUN fbem-5851 60 31 . . PUNCT fbem-5851 61 1 5 5 X fbem-5851 61 2 . . NOUN fbem-5851 61 3 example example NOUN fbem-5851 61 4 analysis analysis NOUN fbem-5851 61 5 assume assume VERB fbem-5851 61 6 that that SCONJ fbem-5851 61 7 the the DET fbem-5851 61 8 number number NOUN fbem-5851 61 9 of of ADP fbem-5851 61 10 suppliers supplier NOUN fbem-5851 61 11 involved involve VERB fbem-5851 61 12 in in ADP fbem-5851 61 13 this this DET fbem-5851 61 14 supply supply NOUN fbem-5851 61 15 logistics logistic NOUN fbem-5851 61 16 operation operation NOUN fbem-5851 61 17 system system NOUN fbem-5851 61 18 is be AUX fbem-5851 61 19 2 2 NUM fbem-5851 61 20 - - SYM fbem-5851 61 21 4 4 NUM fbem-5851 61 22 , , PUNCT fbem-5851 61 23 and and CCONJ fbem-5851 61 24 that that SCONJ fbem-5851 61 25 supply supply NOUN fbem-5851 61 26 - - PUNCT fbem-5851 61 27 hub hub NOUN fbem-5851 61 28 is be AUX fbem-5851 61 29 required require VERB fbem-5851 61 30 to to PART fbem-5851 61 31 deliver deliver VERB fbem-5851 61 32 the the DET fbem-5851 61 33 supporting support VERB fbem-5851 61 34 parts part NOUN fbem-5851 61 35 directly directly ADV fbem-5851 61 36 to to ADP fbem-5851 61 37 the the DET fbem-5851 61 38 workstation workstation NOUN fbem-5851 61 39 to to PART fbem-5851 61 40 meet meet VERB fbem-5851 61 41 the the DET fbem-5851 61 42 manufacturer manufacturer NOUN fbem-5851 61 43 's 's PART fbem-5851 61 44 demand demand NOUN fbem-5851 61 45 , , PUNCT fbem-5851 61 46 and and CCONJ fbem-5851 61 47 that that SCONJ fbem-5851 61 48 the the DET fbem-5851 61 49 service service NOUN fbem-5851 61 50 level level NOUN fbem-5851 61 51 of of ADP fbem-5851 61 52 the the DET fbem-5851 61 53 supplier supplier NOUN fbem-5851 61 54 is be AUX fbem-5851 61 55 not not PART fbem-5851 61 56 less less ADJ fbem-5851 61 57 than than ADP fbem-5851 61 58 96 96 NUM fbem-5851 61 59 % % NOUN fbem-5851 61 60 . . PUNCT fbem-5851 62 1 let let VERB fbem-5851 62 2 the the DET fbem-5851 62 3 manufacturer manufacturer NOUN fbem-5851 62 4 's 's PART fbem-5851 62 5 total total ADJ fbem-5851 62 6 demand demand NOUN fbem-5851 62 7 in in ADP fbem-5851 62 8 one one NUM fbem-5851 62 9 cycle cycle NOUN fbem-5851 62 10 d=500 d=500 NOUN fbem-5851 62 11 ; ; PUNCT fbem-5851 62 12 the the DET fbem-5851 62 13 market market NOUN fbem-5851 62 14 penalty penalty NOUN fbem-5851 62 15 cost cost NOUN fbem-5851 62 16 per per ADP fbem-5851 62 17 unit unit NOUN fbem-5851 62 18 of of ADP fbem-5851 62 19 shortage shortage NOUN fbem-5851 62 20 for for ADP fbem-5851 62 21 the the DET fbem-5851 62 22 final final ADJ fbem-5851 62 23 product product NOUN fbem-5851 62 24 Ο€=50 Ο€=50 NOUN fbem-5851 62 25 ; ; PUNCT fbem-5851 62 26 the the DET fbem-5851 62 27 demand demand NOUN fbem-5851 62 28 for for ADP fbem-5851 62 29 part part NOUN fbem-5851 62 30 i i PRON fbem-5851 62 31 per per ADP fbem-5851 62 32 unit unit NOUN fbem-5851 62 33 of of ADP fbem-5851 62 34 time time NOUN fbem-5851 62 35 obeys obey VERB fbem-5851 62 36 a a DET fbem-5851 62 37 normal normal ADJ fbem-5851 62 38 distribution distribution NOUN fbem-5851 62 39 n n NOUN fbem-5851 62 40 πœ‡ πœ‡ X fbem-5851 62 41 , , PUNCT fbem-5851 62 42 𝜎 𝜎 PROPN fbem-5851 62 43 ; ; PUNCT fbem-5851 62 44 and and CCONJ fbem-5851 62 45 the the DET fbem-5851 62 46 parameters parameter NOUN fbem-5851 62 47 are be AUX fbem-5851 62 48 set set VERB fbem-5851 62 49 as as SCONJ fbem-5851 62 50 shown show VERB fbem-5851 62 51 in in ADP fbem-5851 62 52 table table NOUN fbem-5851 62 53 1 1 NUM fbem-5851 62 54 . . SYM fbem-5851 62 55 80 80 NUM fbem-5851 62 56 table table NOUN fbem-5851 62 57 1 1 NUM fbem-5851 62 58 . . PUNCT fbem-5851 63 1 setting set VERB fbem-5851 63 2 of of ADP fbem-5851 63 3 each each DET fbem-5851 63 4 parameter parameter NOUN fbem-5851 63 5 for for ADP fbem-5851 63 6 part part NOUN fbem-5851 63 7 i i PRON fbem-5851 63 8 suppliers supplier VERB fbem-5851 64 1 i i PRON fbem-5851 64 2 𝐡 𝐡 NOUN fbem-5851 64 3 𝐹 𝐹 PROPN fbem-5851 64 4 β„Ž β„Ž VERB fbem-5851 64 5 β„Ž β„Ž ADP fbem-5851 64 6 β„Ž β„Ž ADP fbem-5851 64 7 𝐿 𝐿 PROPN fbem-5851 64 8 πœ‡ πœ‡ ADP fbem-5851 64 9 𝜎 𝜎 PROPN fbem-5851 64 10 1 1 NUM fbem-5851 64 11 200 200 NUM fbem-5851 64 12 100 100 NUM fbem-5851 64 13 20 20 NUM fbem-5851 64 14 22 22 NUM fbem-5851 64 15 17 17 NUM fbem-5851 64 16 9 9 NUM fbem-5851 64 17 11 11 NUM fbem-5851 64 18 9 9 NUM fbem-5851 64 19 2 2 NUM fbem-5851 64 20 250 250 NUM fbem-5851 64 21 140 140 NUM fbem-5851 64 22 30 30 NUM fbem-5851 64 23 25 25 NUM fbem-5851 64 24 11 11 NUM fbem-5851 64 25 18 18 NUM fbem-5851 64 26 15 15 NUM fbem-5851 64 27 16 16 NUM fbem-5851 64 28 3 3 NUM fbem-5851 64 29 220 220 NUM fbem-5851 64 30 180 180 NUM fbem-5851 64 31 25 25 NUM fbem-5851 64 32 28 28 NUM fbem-5851 64 33 22 22 NUM fbem-5851 64 34 10 10 NUM fbem-5851 64 35 20 20 NUM fbem-5851 64 36 4 4 NUM fbem-5851 64 37 4 4 NUM fbem-5851 64 38 280 280 NUM fbem-5851 64 39 210 210 NUM fbem-5851 64 40 35 35 NUM fbem-5851 64 41 30 30 NUM fbem-5851 64 42 17 17 NUM fbem-5851 64 43 15 15 NUM fbem-5851 64 44 16 16 NUM fbem-5851 64 45 9 9 NUM fbem-5851 64 46 based base VERB fbem-5851 64 47 on on ADP fbem-5851 64 48 the the DET fbem-5851 64 49 above above ADJ fbem-5851 64 50 model model NOUN fbem-5851 64 51 and and CCONJ fbem-5851 64 52 solved solve VERB fbem-5851 64 53 in in ADP fbem-5851 64 54 python python PROPN fbem-5851 64 55 , , PUNCT fbem-5851 64 56 the the DET fbem-5851 64 57 optimal optimal ADJ fbem-5851 64 58 distribution distribution NOUN fbem-5851 64 59 lot lot NOUN fbem-5851 64 60 size size NOUN fbem-5851 64 61 , , PUNCT fbem-5851 64 62 order order NOUN fbem-5851 64 63 points point NOUN fbem-5851 64 64 and and CCONJ fbem-5851 64 65 the the DET fbem-5851 64 66 operational operational ADJ fbem-5851 64 67 costs cost NOUN fbem-5851 64 68 of of ADP fbem-5851 64 69 supply supply NOUN fbem-5851 64 70 logistics logistic NOUN fbem-5851 64 71 can can AUX fbem-5851 64 72 be be AUX fbem-5851 64 73 obtained obtain VERB fbem-5851 64 74 . . PUNCT fbem-5851 65 1 the the DET fbem-5851 65 2 influence influence NOUN fbem-5851 65 3 of of ADP fbem-5851 65 4 different different ADJ fbem-5851 65 5 factors factor NOUN fbem-5851 65 6 on on ADP fbem-5851 65 7 the the DET fbem-5851 65 8 operational operational ADJ fbem-5851 65 9 cost cost NOUN fbem-5851 65 10 of of ADP fbem-5851 65 11 supply supply NOUN fbem-5851 65 12 logistics logistic NOUN fbem-5851 65 13 is be AUX fbem-5851 65 14 analysed analyse VERB fbem-5851 65 15 in in ADP fbem-5851 65 16 the the DET fbem-5851 65 17 following follow VERB fbem-5851 65 18 aspects aspect NOUN fbem-5851 65 19 . . PUNCT fbem-5851 66 1 5.1 5.1 NUM fbem-5851 66 2 . . PUNCT fbem-5851 67 1 the the DET fbem-5851 67 2 impact impact NOUN fbem-5851 67 3 of of ADP fbem-5851 67 4 the the DET fbem-5851 67 5 number number NOUN fbem-5851 67 6 of of ADP fbem-5851 67 7 supplier supplier NOUN fbem-5851 67 8 participants participant NOUN fbem-5851 67 9 on on ADP fbem-5851 67 10 the the DET fbem-5851 67 11 operational operational ADJ fbem-5851 67 12 costs cost NOUN fbem-5851 67 13 of of ADP fbem-5851 67 14 supply supply NOUN fbem-5851 67 15 logistics logistic NOUN fbem-5851 67 16 the the DET fbem-5851 67 17 operating operating NOUN fbem-5851 67 18 costs cost NOUN fbem-5851 67 19 of of ADP fbem-5851 67 20 supply supply NOUN fbem-5851 67 21 logistics logistic NOUN fbem-5851 67 22 and and CCONJ fbem-5851 67 23 the the DET fbem-5851 67 24 corresponding correspond VERB fbem-5851 67 25 service service NOUN fbem-5851 67 26 levels level NOUN fbem-5851 67 27 are be AUX fbem-5851 67 28 calculated calculate VERB fbem-5851 67 29 when when SCONJ fbem-5851 67 30 the the DET fbem-5851 67 31 number number NOUN fbem-5851 67 32 of of ADP fbem-5851 67 33 suppliers supplier NOUN fbem-5851 67 34 in in ADP fbem-5851 67 35 the the DET fbem-5851 67 36 supply supply NOUN fbem-5851 67 37 logistics logistic NOUN fbem-5851 67 38 operation operation NOUN fbem-5851 67 39 is be AUX fbem-5851 67 40 2 2 NUM fbem-5851 67 41 , , PUNCT fbem-5851 67 42 3 3 NUM fbem-5851 67 43 and and CCONJ fbem-5851 67 44 4 4 NUM fbem-5851 67 45 respectively respectively ADV fbem-5851 67 46 . . PUNCT fbem-5851 68 1 the the DET fbem-5851 68 2 results result NOUN fbem-5851 68 3 of of ADP fbem-5851 68 4 the the DET fbem-5851 68 5 calculation calculation NOUN fbem-5851 68 6 are be AUX fbem-5851 68 7 shown show VERB fbem-5851 68 8 in in ADP fbem-5851 68 9 table table NOUN fbem-5851 68 10 2 2 NUM fbem-5851 68 11 : : PUNCT fbem-5851 68 12 table table NOUN fbem-5851 68 13 2 2 NUM fbem-5851 68 14 . . PUNCT fbem-5851 68 15 results result NOUN fbem-5851 68 16 of of ADP fbem-5851 68 17 model model NOUN fbem-5851 68 18 calculations calculation NOUN fbem-5851 68 19 with with ADP fbem-5851 68 20 varying vary VERB fbem-5851 68 21 number number NOUN fbem-5851 68 22 of of ADP fbem-5851 68 23 suppliers supplier NOUN fbem-5851 68 24 n n PRON fbem-5851 68 25 number number NOUN fbem-5851 68 26 of of ADP fbem-5851 68 27 suppliers supplier NOUN fbem-5851 68 28 n n CCONJ fbem-5851 68 29 suppliers supplier NOUN fbem-5851 68 30 i i PRON fbem-5851 68 31 distribution distribution NOUN fbem-5851 68 32 lot lot NOUN fbem-5851 68 33 𝑄 𝑄 PRON fbem-5851 68 34 order order NOUN fbem-5851 68 35 points point VERB fbem-5851 68 36 π‘Ÿ π‘Ÿ NOUN fbem-5851 68 37 safety safety NOUN fbem-5851 68 38 stock stock NOUN fbem-5851 68 39 factor factor NOUN fbem-5851 68 40 z z PROPN fbem-5851 68 41 service service NOUN fbem-5851 68 42 level level NOUN fbem-5851 68 43 sl sl NOUN fbem-5851 68 44 supply supply NOUN fbem-5851 68 45 logistics logistic NOUN fbem-5851 68 46 operating operating NOUN fbem-5851 68 47 costs cost NOUN fbem-5851 68 48 𝑇𝐢 𝑇𝐢 ADJ fbem-5851 68 49 2 2 NUM fbem-5851 68 50 1 1 NUM fbem-5851 68 51 463.66 463.66 NUM fbem-5851 68 52 116.09 116.09 NUM fbem-5851 68 53 1.90 1.90 NUM fbem-5851 68 54 97.13 97.13 NUM fbem-5851 68 55 % % NOUN fbem-5851 68 56 7596.08 7596.08 NUM fbem-5851 68 57 2 2 NUM fbem-5851 68 58 541.53 541.53 NUM fbem-5851 68 59 302.22 302.22 NUM fbem-5851 68 60 3 3 NUM fbem-5851 68 61 1 1 NUM fbem-5851 68 62 462.51 462.51 NUM fbem-5851 68 63 117.70 117.70 NUM fbem-5851 68 64 2.08 2.08 NUM fbem-5851 68 65 98.12 98.12 NUM fbem-5851 68 66 % % NOUN fbem-5851 68 67 11783.06 11783.06 NUM fbem-5851 68 68 2 2 NUM fbem-5851 68 69 539.68 539.68 NUM fbem-5851 68 70 305.26 305.26 NUM fbem-5851 68 71 3 3 NUM fbem-5851 68 72 547.53 547.53 NUM fbem-5851 68 73 213.14 213.14 NUM fbem-5851 68 74 4 4 NUM fbem-5851 68 75 1 1 NUM fbem-5851 68 76 463.61 463.61 NUM fbem-5851 68 77 118.51 118.51 NUM fbem-5851 68 78 2.17 2.17 NUM fbem-5851 68 79 98.50 98.50 NUM fbem-5851 68 80 % % NOUN fbem-5851 68 81 17145.37 17145.37 NUM fbem-5851 68 82 2 2 NUM fbem-5851 69 1 541.44 541.44 NUM fbem-5851 69 2 306.79 306.79 NUM fbem-5851 69 3 3 3 NUM fbem-5851 69 4 548.17 548.17 NUM fbem-5851 69 5 213.71 213.71 NUM fbem-5851 69 6 4 4 NUM fbem-5851 69 7 607.69 607.69 NUM fbem-5851 69 8 265.19 265.19 NUM fbem-5851 69 9 according accord VERB fbem-5851 69 10 to to ADP fbem-5851 69 11 the the DET fbem-5851 69 12 calculations calculation NOUN fbem-5851 69 13 in in ADP fbem-5851 69 14 table table NOUN fbem-5851 69 15 2 2 NUM fbem-5851 69 16 , , PUNCT fbem-5851 69 17 when when SCONJ fbem-5851 69 18 the the DET fbem-5851 69 19 number number NOUN fbem-5851 69 20 of of ADP fbem-5851 69 21 suppliers supplier NOUN fbem-5851 69 22 involved involve VERB fbem-5851 69 23 in in ADP fbem-5851 69 24 the the DET fbem-5851 69 25 supply supply NOUN fbem-5851 69 26 logistics logistic NOUN fbem-5851 69 27 operation operation NOUN fbem-5851 69 28 system system NOUN fbem-5851 69 29 increases increase VERB fbem-5851 69 30 from from ADP fbem-5851 69 31 2 2 NUM fbem-5851 69 32 to to ADP fbem-5851 69 33 3 3 NUM fbem-5851 69 34 , , PUNCT fbem-5851 69 35 the the DET fbem-5851 69 36 increase increase NOUN fbem-5851 69 37 in in ADP fbem-5851 69 38 the the DET fbem-5851 69 39 cost cost NOUN fbem-5851 69 40 of of ADP fbem-5851 69 41 supply supply NOUN fbem-5851 69 42 logistics logistic NOUN fbem-5851 69 43 operation operation NOUN fbem-5851 69 44 is be AUX fbem-5851 69 45 δ𝑇𝐢1 δ𝑇𝐢1 NOUN fbem-5851 69 46 11783.06 11783.06 NUM fbem-5851 69 47 7596.08 7596.08 NUM fbem-5851 69 48 7596.08 7596.08 NUM fbem-5851 69 49 % % NOUN fbem-5851 69 50 55.12 55.12 NUM fbem-5851 69 51 % % NOUN fbem-5851 69 52 . . PUNCT fbem-5851 70 1 when when SCONJ fbem-5851 70 2 the the DET fbem-5851 70 3 number number NOUN fbem-5851 70 4 of of ADP fbem-5851 70 5 suppliers supplier NOUN fbem-5851 70 6 involved involve VERB fbem-5851 70 7 in in ADP fbem-5851 70 8 the the DET fbem-5851 70 9 supply supply NOUN fbem-5851 70 10 logistics logistic NOUN fbem-5851 70 11 operation operation NOUN fbem-5851 70 12 system system NOUN fbem-5851 70 13 increases increase VERB fbem-5851 70 14 from from ADP fbem-5851 70 15 3 3 NUM fbem-5851 70 16 to to ADP fbem-5851 70 17 4 4 NUM fbem-5851 70 18 , , PUNCT fbem-5851 70 19 the the DET fbem-5851 70 20 increase increase NOUN fbem-5851 70 21 in in ADP fbem-5851 70 22 the the DET fbem-5851 70 23 cost cost NOUN fbem-5851 70 24 of of ADP fbem-5851 70 25 supply supply NOUN fbem-5851 70 26 logistics logistic NOUN fbem-5851 70 27 operations operation NOUN fbem-5851 70 28 isδ𝑇𝐢2 isδ𝑇𝐢2 ADV fbem-5851 70 29 17145.37 17145.37 NUM fbem-5851 70 30 11783.06 11783.06 NUM fbem-5851 70 31 11783.06 11783.06 NUM fbem-5851 70 32 % % NOUN fbem-5851 70 33 45.51 45.51 NUM fbem-5851 70 34 % % NOUN fbem-5851 70 35 . . PUNCT fbem-5851 71 1 δ𝑇𝐢1 δ𝑇𝐢1 NOUN fbem-5851 71 2 δ𝑇𝐢2 δ𝑇𝐢2 NOUN fbem-5851 71 3 , , PUNCT fbem-5851 71 4 as as SCONJ fbem-5851 71 5 the the DET fbem-5851 71 6 number number NOUN fbem-5851 71 7 of of ADP fbem-5851 71 8 participating participate VERB fbem-5851 71 9 suppliers supplier NOUN fbem-5851 71 10 increases increase NOUN fbem-5851 71 11 , , PUNCT fbem-5851 71 12 supply supply NOUN fbem-5851 71 13 logistics logistic NOUN fbem-5851 71 14 operating operating NOUN fbem-5851 71 15 costs cost NOUN fbem-5851 71 16 and and CCONJ fbem-5851 71 17 service service NOUN fbem-5851 71 18 levels level NOUN fbem-5851 71 19 increase increase VERB fbem-5851 71 20 , , PUNCT fbem-5851 71 21 but but CCONJ fbem-5851 71 22 the the DET fbem-5851 71 23 increase increase NOUN fbem-5851 71 24 in in ADP fbem-5851 71 25 supply supply NOUN fbem-5851 71 26 logistics logistic NOUN fbem-5851 71 27 operating operating NOUN fbem-5851 71 28 costs cost NOUN fbem-5851 71 29 decreases decrease VERB fbem-5851 71 30 . . PUNCT fbem-5851 72 1 the the DET fbem-5851 72 2 reason reason NOUN fbem-5851 72 3 for for ADP fbem-5851 72 4 this this PRON fbem-5851 72 5 is be AUX fbem-5851 72 6 that that SCONJ fbem-5851 72 7 the the DET fbem-5851 72 8 increase increase NOUN fbem-5851 72 9 in in ADP fbem-5851 72 10 the the DET fbem-5851 72 11 number number NOUN fbem-5851 72 12 of of ADP fbem-5851 72 13 suppliers supplier NOUN fbem-5851 72 14 makes make VERB fbem-5851 72 15 it it PRON fbem-5851 72 16 easier easy ADJ fbem-5851 72 17 to to PART fbem-5851 72 18 meet meet VERB fbem-5851 72 19 the the DET fbem-5851 72 20 manufacturer manufacturer NOUN fbem-5851 72 21 's 's PART fbem-5851 72 22 component component NOUN fbem-5851 72 23 requirements requirement NOUN fbem-5851 72 24 through through ADP fbem-5851 72 25 centralised centralised ADJ fbem-5851 72 26 management management NOUN fbem-5851 72 27 and and CCONJ fbem-5851 72 28 distribution distribution NOUN fbem-5851 72 29 by by ADP fbem-5851 72 30 supply supply NOUN fbem-5851 72 31 - - PUNCT fbem-5851 72 32 hub hub NOUN fbem-5851 72 33 , , PUNCT fbem-5851 72 34 resulting result VERB fbem-5851 72 35 in in ADP fbem-5851 72 36 economies economy NOUN fbem-5851 72 37 of of ADP fbem-5851 72 38 scale scale NOUN fbem-5851 72 39 in in ADP fbem-5851 72 40 the the DET fbem-5851 72 41 supply supply NOUN fbem-5851 72 42 process process NOUN fbem-5851 72 43 , , PUNCT fbem-5851 72 44 which which PRON fbem-5851 72 45 not not PART fbem-5851 72 46 only only ADV fbem-5851 72 47 reduces reduce VERB fbem-5851 72 48 the the DET fbem-5851 72 49 cost cost NOUN fbem-5851 72 50 of of ADP fbem-5851 72 51 the the DET fbem-5851 72 52 supply supply NOUN fbem-5851 72 53 logistics logistic NOUN fbem-5851 72 54 operation operation NOUN fbem-5851 72 55 system system NOUN fbem-5851 72 56 , , PUNCT fbem-5851 72 57 but but CCONJ fbem-5851 72 58 also also ADV fbem-5851 72 59 increases increase VERB fbem-5851 72 60 the the DET fbem-5851 72 61 level level NOUN fbem-5851 72 62 of of ADP fbem-5851 72 63 supplier supplier NOUN fbem-5851 72 64 service service NOUN fbem-5851 72 65 . . PUNCT fbem-5851 73 1 5.2 5.2 NUM fbem-5851 73 2 . . PUNCT fbem-5851 74 1 the the DET fbem-5851 74 2 impact impact NOUN fbem-5851 74 3 of of ADP fbem-5851 74 4 suppliers supplier NOUN fbem-5851 74 5 ' ' PART fbem-5851 74 6 service service NOUN fbem-5851 74 7 levels level NOUN fbem-5851 74 8 on on ADP fbem-5851 74 9 supply supply NOUN fbem-5851 74 10 logistics logistic NOUN fbem-5851 74 11 operating operating NOUN fbem-5851 74 12 costs cost NOUN fbem-5851 74 13 assuming assume VERB fbem-5851 74 14 that that SCONJ fbem-5851 74 15 the the DET fbem-5851 74 16 service service NOUN fbem-5851 74 17 level level NOUN fbem-5851 74 18 varies vary VERB fbem-5851 74 19 between between ADP fbem-5851 74 20 90 90 NUM fbem-5851 74 21 % % NOUN fbem-5851 74 22 and and CCONJ fbem-5851 74 23 100 100 NUM fbem-5851 74 24 % % NOUN fbem-5851 74 25 and and CCONJ fbem-5851 74 26 taking take VERB fbem-5851 74 27 a a DET fbem-5851 74 28 step step NOUN fbem-5851 74 29 of of ADP fbem-5851 74 30 0.05 0.05 NUM fbem-5851 74 31 , , PUNCT fbem-5851 74 32 the the DET fbem-5851 74 33 calculation calculation NOUN fbem-5851 74 34 yields yield VERB fbem-5851 74 35 the the DET fbem-5851 74 36 operational operational ADJ fbem-5851 74 37 cost cost NOUN fbem-5851 74 38 of of ADP fbem-5851 74 39 supply supply NOUN fbem-5851 74 40 logistics logistic NOUN fbem-5851 74 41 at at ADP fbem-5851 74 42 different different ADJ fbem-5851 74 43 service service NOUN fbem-5851 74 44 levels level NOUN fbem-5851 74 45 . . PUNCT fbem-5851 75 1 the the DET fbem-5851 75 2 results result NOUN fbem-5851 75 3 are be AUX fbem-5851 75 4 shown show VERB fbem-5851 75 5 in in ADP fbem-5851 75 6 figure figure NOUN fbem-5851 75 7 2 2 NUM fbem-5851 75 8 . . PUNCT fbem-5851 75 9 figure figure NOUN fbem-5851 75 10 2 2 NUM fbem-5851 75 11 . . PUNCT fbem-5851 75 12 impact impact NOUN fbem-5851 75 13 of of ADP fbem-5851 75 14 changes change NOUN fbem-5851 75 15 in in ADP fbem-5851 75 16 supplier supplier NOUN fbem-5851 75 17 service service NOUN fbem-5851 75 18 levels level NOUN fbem-5851 75 19 on on ADP fbem-5851 75 20 supply supply NOUN fbem-5851 75 21 logistics logistic NOUN fbem-5851 75 22 operating operating NOUN fbem-5851 75 23 costs cost NOUN fbem-5851 75 24 17000 17000 NUM fbem-5851 75 25 17500 17500 NUM fbem-5851 75 26 18000 18000 NUM fbem-5851 75 27 18500 18500 NUM fbem-5851 75 28 19000 19000 NUM fbem-5851 75 29 19500 19500 NUM fbem-5851 75 30 0.9 0.9 NUM fbem-5851 75 31 0.91 0.91 NUM fbem-5851 75 32 0.92 0.92 NUM fbem-5851 75 33 0.93 0.93 NUM fbem-5851 75 34 0.94 0.94 NUM fbem-5851 75 35 0.95 0.95 NUM fbem-5851 75 36 0.96 0.96 NUM fbem-5851 75 37 0.97 0.97 NUM fbem-5851 75 38 0.98 0.98 NUM fbem-5851 75 39 0.99 0.99 NUM fbem-5851 75 40 1 1 NUM fbem-5851 76 1 tc tc NUM fbem-5851 77 1 sl sl NOUN fbem-5851 77 2 81 81 NUM fbem-5851 77 3 as as SCONJ fbem-5851 77 4 can can AUX fbem-5851 77 5 be be AUX fbem-5851 77 6 seen see VERB fbem-5851 77 7 from from ADP fbem-5851 77 8 figure figure NOUN fbem-5851 77 9 2 2 NUM fbem-5851 77 10 , , PUNCT fbem-5851 77 11 the the DET fbem-5851 77 12 operational operational ADJ fbem-5851 77 13 cost cost NOUN fbem-5851 77 14 of of ADP fbem-5851 77 15 supply supply NOUN fbem-5851 77 16 logistics logistic NOUN fbem-5851 77 17 decreases decrease NOUN fbem-5851 77 18 and and CCONJ fbem-5851 77 19 then then ADV fbem-5851 77 20 increases increase VERB fbem-5851 77 21 as as SCONJ fbem-5851 77 22 the the DET fbem-5851 77 23 service service NOUN fbem-5851 77 24 level level NOUN fbem-5851 77 25 of of ADP fbem-5851 77 26 the the DET fbem-5851 77 27 supplier supplier NOUN fbem-5851 77 28 gradually gradually ADV fbem-5851 77 29 increases increase VERB fbem-5851 77 30 . . PUNCT fbem-5851 78 1 the the DET fbem-5851 78 2 reason reason NOUN fbem-5851 78 3 for for ADP fbem-5851 78 4 the the DET fbem-5851 78 5 decrease decrease NOUN fbem-5851 78 6 in in ADP fbem-5851 78 7 supply supply NOUN fbem-5851 78 8 logistics logistic NOUN fbem-5851 78 9 operating operating NOUN fbem-5851 78 10 costs cost NOUN fbem-5851 78 11 with with ADP fbem-5851 78 12 increasing increase VERB fbem-5851 78 13 service service NOUN fbem-5851 78 14 levels level NOUN fbem-5851 78 15 is be AUX fbem-5851 78 16 that that SCONJ fbem-5851 78 17 the the DET fbem-5851 78 18 increase increase NOUN fbem-5851 78 19 in in ADP fbem-5851 78 20 supplier supplier NOUN fbem-5851 78 21 and and CCONJ fbem-5851 78 22 supply supply NOUN fbem-5851 78 23 - - PUNCT fbem-5851 78 24 hub hub NOUN fbem-5851 78 25 inventory inventory NOUN fbem-5851 78 26 costs cost NOUN fbem-5851 78 27 is be AUX fbem-5851 78 28 smaller small ADJ fbem-5851 78 29 than than ADP fbem-5851 78 30 the the DET fbem-5851 78 31 decrease decrease NOUN fbem-5851 78 32 in in ADP fbem-5851 78 33 supplier supplier NOUN fbem-5851 78 34 replenishment replenishment NOUN fbem-5851 78 35 costs cost NOUN fbem-5851 78 36 , , PUNCT fbem-5851 78 37 the the DET fbem-5851 78 38 stranded strand VERB fbem-5851 78 39 cost cost NOUN fbem-5851 78 40 of of ADP fbem-5851 78 41 parts part NOUN fbem-5851 78 42 in in ADP fbem-5851 78 43 the the DET fbem-5851 78 44 supplyhub supplyhub NOUN fbem-5851 78 45 and and CCONJ fbem-5851 78 46 the the DET fbem-5851 78 47 cost cost NOUN fbem-5851 78 48 of of ADP fbem-5851 78 49 product product NOUN fbem-5851 78 50 out out ADP fbem-5851 78 51 - - PUNCT fbem-5851 78 52 of of ADP fbem-5851 78 53 - - PUNCT fbem-5851 78 54 stock stock NOUN fbem-5851 78 55 penalties penalty NOUN fbem-5851 78 56 . . PUNCT fbem-5851 79 1 in in ADP fbem-5851 79 2 particular particular ADJ fbem-5851 79 3 , , PUNCT fbem-5851 79 4 when when SCONJ fbem-5851 79 5 sl sl PROPN fbem-5851 79 6 β‰₯ β‰₯ NUM fbem-5851 79 7 98.5 98.5 NUM fbem-5851 79 8 % % NOUN fbem-5851 79 9 , , PUNCT fbem-5851 79 10 the the DET fbem-5851 79 11 operational operational ADJ fbem-5851 79 12 costs cost NOUN fbem-5851 79 13 of of ADP fbem-5851 79 14 supplyhub supplyhub NOUN fbem-5851 79 15 - - PUNCT fbem-5851 79 16 based base VERB fbem-5851 79 17 collaborative collaborative ADJ fbem-5851 79 18 replenishment replenishment NOUN fbem-5851 79 19 of of ADP fbem-5851 79 20 supply supply NOUN fbem-5851 79 21 logistics logistic NOUN fbem-5851 79 22 increase increase NOUN fbem-5851 79 23 . . PUNCT fbem-5851 80 1 this this PRON fbem-5851 80 2 is be AUX fbem-5851 80 3 because because SCONJ fbem-5851 80 4 the the DET fbem-5851 80 5 replenishment replenishment NOUN fbem-5851 80 6 and and CCONJ fbem-5851 80 7 inventory inventory NOUN fbem-5851 80 8 costs cost NOUN fbem-5851 80 9 incurred incur VERB fbem-5851 80 10 by by ADP fbem-5851 80 11 suppliers supplier NOUN fbem-5851 80 12 to to PART fbem-5851 80 13 achieve achieve VERB fbem-5851 80 14 higher high ADJ fbem-5851 80 15 service service NOUN fbem-5851 80 16 levels level NOUN fbem-5851 80 17 are be AUX fbem-5851 80 18 much much ADV fbem-5851 80 19 higher high ADJ fbem-5851 80 20 than than ADP fbem-5851 80 21 their their PRON fbem-5851 80 22 reduced reduce VERB fbem-5851 80 23 costs cost NOUN fbem-5851 80 24 when when SCONJ fbem-5851 80 25 considering consider VERB fbem-5851 80 26 coreplenishment coreplenishment NOUN fbem-5851 80 27 . . PUNCT fbem-5851 81 1 therefore therefore ADV fbem-5851 81 2 , , PUNCT fbem-5851 81 3 higher high ADJ fbem-5851 81 4 service service NOUN fbem-5851 81 5 levels level NOUN fbem-5851 81 6 are be AUX fbem-5851 81 7 not not PART fbem-5851 81 8 better well ADJ fbem-5851 81 9 , , PUNCT fbem-5851 81 10 but but CCONJ fbem-5851 81 11 should should AUX fbem-5851 81 12 be be AUX fbem-5851 81 13 kept keep VERB fbem-5851 81 14 within within ADP fbem-5851 81 15 a a DET fbem-5851 81 16 certain certain ADJ fbem-5851 81 17 range range NOUN fbem-5851 81 18 . . PUNCT fbem-5851 82 1 5.3 5.3 NUM fbem-5851 82 2 . . PUNCT fbem-5851 83 1 the the DET fbem-5851 83 2 impact impact NOUN fbem-5851 83 3 of of ADP fbem-5851 83 4 demand demand NOUN fbem-5851 83 5 uncertainty uncertainty NOUN fbem-5851 83 6 on on ADP fbem-5851 83 7 supply supply NOUN fbem-5851 83 8 logistics logistic NOUN fbem-5851 83 9 operating operating NOUN fbem-5851 83 10 costs cost NOUN fbem-5851 83 11 assuming assume VERB fbem-5851 83 12 that that SCONJ fbem-5851 83 13 the the DET fbem-5851 83 14 supplier supplier NOUN fbem-5851 83 15 service service NOUN fbem-5851 83 16 level level NOUN fbem-5851 83 17 remains remain VERB fbem-5851 83 18 constant constant ADJ fbem-5851 83 19 at at ADP fbem-5851 83 20 96 96 NUM fbem-5851 83 21 % % NOUN fbem-5851 83 22 , , PUNCT fbem-5851 83 23 the the DET fbem-5851 83 24 change change NOUN fbem-5851 83 25 in in ADP fbem-5851 83 26 supply supply NOUN fbem-5851 83 27 logistics logistic NOUN fbem-5851 83 28 operating operating NOUN fbem-5851 83 29 cost cost NOUN fbem-5851 83 30 tc tc NOUN fbem-5851 83 31 is be AUX fbem-5851 83 32 calculated calculate VERB fbem-5851 83 33 from from ADP fbem-5851 83 34 the the DET fbem-5851 83 35 perspective perspective NOUN fbem-5851 83 36 of of ADP fbem-5851 83 37 demand demand NOUN fbem-5851 83 38 ( ( PUNCT fbem-5851 83 39 i.e. i.e. X fbem-5851 83 40 𝜎 𝜎 PROPN fbem-5851 83 41 as as ADP fbem-5851 83 42 the the DET fbem-5851 83 43 independent independent ADJ fbem-5851 83 44 variable variable NOUN fbem-5851 83 45 ) ) PUNCT fbem-5851 83 46 when when SCONJ fbem-5851 83 47 𝜎 𝜎 PROPN fbem-5851 83 48 takes take VERB fbem-5851 83 49 a a DET fbem-5851 83 50 change change NOUN fbem-5851 83 51 step step NOUN fbem-5851 83 52 of of ADP fbem-5851 83 53 1 1 NUM fbem-5851 83 54 . . PUNCT fbem-5851 83 55 as as SCONJ fbem-5851 83 56 shown show VERB fbem-5851 83 57 in in ADP fbem-5851 83 58 figure figure NOUN fbem-5851 83 59 3 3 NUM fbem-5851 83 60 . . PUNCT fbem-5851 83 61 figure figure VERB fbem-5851 83 62 3 3 NUM fbem-5851 83 63 . . PUNCT fbem-5851 83 64 impact impact NOUN fbem-5851 83 65 of of ADP fbem-5851 83 66 demand demand NOUN fbem-5851 83 67 uncertainty uncertainty NOUN fbem-5851 83 68 on on ADP fbem-5851 83 69 supply supply NOUN fbem-5851 83 70 logistics logistic NOUN fbem-5851 83 71 operating operating NOUN fbem-5851 83 72 costs cost NOUN fbem-5851 83 73 as as SCONJ fbem-5851 83 74 can can AUX fbem-5851 83 75 be be AUX fbem-5851 83 76 seen see VERB fbem-5851 83 77 from from ADP fbem-5851 83 78 figure figure NOUN fbem-5851 83 79 3 3 NUM fbem-5851 83 80 , , PUNCT fbem-5851 83 81 market market NOUN fbem-5851 83 82 demand demand NOUN fbem-5851 83 83 uncertainty uncertainty NOUN fbem-5851 83 84 has have VERB fbem-5851 83 85 a a DET fbem-5851 83 86 significant significant ADJ fbem-5851 83 87 impact impact NOUN fbem-5851 83 88 on on ADP fbem-5851 83 89 supply supply NOUN fbem-5851 83 90 logistics logistic NOUN fbem-5851 83 91 operating operating NOUN fbem-5851 83 92 costs cost NOUN fbem-5851 83 93 . . PUNCT fbem-5851 84 1 this this PRON fbem-5851 84 2 is be AUX fbem-5851 84 3 because because SCONJ fbem-5851 84 4 the the PRON fbem-5851 84 5 greater great ADJ fbem-5851 84 6 the the DET fbem-5851 84 7 uncertainty uncertainty NOUN fbem-5851 84 8 of of ADP fbem-5851 84 9 market market NOUN fbem-5851 84 10 demand demand NOUN fbem-5851 84 11 , , PUNCT fbem-5851 84 12 the the PRON fbem-5851 84 13 more more ADV fbem-5851 84 14 likely likely ADJ fbem-5851 84 15 it it PRON fbem-5851 84 16 is be AUX fbem-5851 84 17 that that SCONJ fbem-5851 84 18 the the DET fbem-5851 84 19 probability probability NOUN fbem-5851 84 20 of of ADP fbem-5851 84 21 stock stock NOUN fbem-5851 84 22 - - PUNCT fbem-5851 84 23 out out NOUN fbem-5851 84 24 in in ADP fbem-5851 84 25 each each DET fbem-5851 84 26 segment segment NOUN fbem-5851 84 27 will will AUX fbem-5851 84 28 increase increase VERB fbem-5851 84 29 , , PUNCT fbem-5851 84 30 thus thus ADV fbem-5851 84 31 affecting affect VERB fbem-5851 84 32 the the DET fbem-5851 84 33 inventory inventory NOUN fbem-5851 84 34 strategy strategy NOUN fbem-5851 84 35 adopted adopt VERB fbem-5851 84 36 by by ADP fbem-5851 84 37 each each DET fbem-5851 84 38 segment segment NOUN fbem-5851 84 39 of of ADP fbem-5851 84 40 supply supply NOUN fbem-5851 84 41 logistics logistic NOUN fbem-5851 84 42 and and CCONJ fbem-5851 84 43 increasing increase VERB fbem-5851 84 44 the the DET fbem-5851 84 45 operating operating NOUN fbem-5851 84 46 costs cost NOUN fbem-5851 84 47 . . PUNCT fbem-5851 85 1 however however ADV fbem-5851 85 2 , , PUNCT fbem-5851 85 3 as as ADP fbem-5851 85 4 the the DET fbem-5851 85 5 unit unit NOUN fbem-5851 85 6 volume volume NOUN fbem-5851 85 7 of of ADP fbem-5851 85 8 𝜎 𝜎 PROPN fbem-5851 85 9 increases increase NOUN fbem-5851 85 10 , , PUNCT fbem-5851 85 11 the the DET fbem-5851 85 12 increase increase NOUN fbem-5851 85 13 in in ADP fbem-5851 85 14 supply supply NOUN fbem-5851 85 15 logistics logistic NOUN fbem-5851 85 16 operating operating NOUN fbem-5851 85 17 costs cost NOUN fbem-5851 85 18 decreases decrease VERB fbem-5851 85 19 , , PUNCT fbem-5851 85 20 indicating indicate VERB fbem-5851 85 21 that that SCONJ fbem-5851 85 22 the the DET fbem-5851 85 23 centralised centralised ADJ fbem-5851 85 24 deployment deployment NOUN fbem-5851 85 25 of of ADP fbem-5851 85 26 supply supply NOUN fbem-5851 85 27 - - PUNCT fbem-5851 85 28 hub hub NOUN fbem-5851 85 29 can can AUX fbem-5851 85 30 alleviate alleviate VERB fbem-5851 85 31 the the DET fbem-5851 85 32 cascading cascade VERB fbem-5851 85 33 effect effect NOUN fbem-5851 85 34 of of ADP fbem-5851 85 35 the the DET fbem-5851 85 36 bullwhip bullwhip NOUN fbem-5851 85 37 effect effect NOUN fbem-5851 85 38 to to ADP fbem-5851 85 39 a a DET fbem-5851 85 40 certain certain ADJ fbem-5851 85 41 extent extent NOUN fbem-5851 85 42 . . PUNCT fbem-5851 86 1 6 6 X fbem-5851 86 2 . . X fbem-5851 86 3 conclusion conclusion NOUN fbem-5851 86 4 this this DET fbem-5851 86 5 paper paper NOUN fbem-5851 86 6 investigates investigate VERB fbem-5851 86 7 the the DET fbem-5851 86 8 problem problem NOUN fbem-5851 86 9 of of ADP fbem-5851 86 10 collaborative collaborative ADJ fbem-5851 86 11 replenishment replenishment NOUN fbem-5851 86 12 decisions decision NOUN fbem-5851 86 13 in in ADP fbem-5851 86 14 the the DET fbem-5851 86 15 supply supply NOUN fbem-5851 86 16 - - PUNCT fbem-5851 86 17 hub hub NOUN fbem-5851 86 18 model model NOUN fbem-5851 86 19 under under ADP fbem-5851 86 20 demand demand NOUN fbem-5851 86 21 uncertainty uncertainty NOUN fbem-5851 86 22 and and CCONJ fbem-5851 86 23 analyses analyse VERB fbem-5851 86 24 the the DET fbem-5851 86 25 impact impact NOUN fbem-5851 86 26 of of ADP fbem-5851 86 27 the the DET fbem-5851 86 28 number number NOUN fbem-5851 86 29 of of ADP fbem-5851 86 30 suppliers supplier NOUN fbem-5851 86 31 involved involve VERB fbem-5851 86 32 , , PUNCT fbem-5851 86 33 the the DET fbem-5851 86 34 level level NOUN fbem-5851 86 35 of of ADP fbem-5851 86 36 supplier supplier NOUN fbem-5851 86 37 service service NOUN fbem-5851 86 38 and and CCONJ fbem-5851 86 39 demand demand VERB fbem-5851 86 40 uncertainty uncertainty NOUN fbem-5851 86 41 on on ADP fbem-5851 86 42 the the DET fbem-5851 86 43 operational operational ADJ fbem-5851 86 44 costs cost NOUN fbem-5851 86 45 of of ADP fbem-5851 86 46 supply supply NOUN fbem-5851 86 47 logistics logistic NOUN fbem-5851 86 48 , , PUNCT fbem-5851 86 49 leading lead VERB fbem-5851 86 50 to to ADP fbem-5851 86 51 the the DET fbem-5851 86 52 following follow VERB fbem-5851 86 53 conclusions conclusion NOUN fbem-5851 86 54 . . PUNCT fbem-5851 87 1 ( ( PUNCT fbem-5851 87 2 1 1 X fbem-5851 87 3 ) ) PUNCT fbem-5851 87 4 supply supply NOUN fbem-5851 87 5 - - PUNCT fbem-5851 87 6 hub hub NOUN fbem-5851 87 7 minimises minimise NOUN fbem-5851 87 8 the the DET fbem-5851 87 9 cost cost NOUN fbem-5851 87 10 of of ADP fbem-5851 87 11 supply supply NOUN fbem-5851 87 12 logistics logistic NOUN fbem-5851 87 13 operations operation NOUN fbem-5851 87 14 by by ADP fbem-5851 87 15 coordinating coordinate VERB fbem-5851 87 16 multiple multiple ADJ fbem-5851 87 17 suppliers supplier NOUN fbem-5851 87 18 in in ADP fbem-5851 87 19 a a DET fbem-5851 87 20 ( ( PUNCT fbem-5851 87 21 q q NOUN fbem-5851 87 22 , , PUNCT fbem-5851 87 23 r r NOUN fbem-5851 87 24 ) ) PUNCT fbem-5851 87 25 model model NOUN fbem-5851 87 26 with with ADP fbem-5851 87 27 an an DET fbem-5851 87 28 inventory inventory NOUN fbem-5851 87 29 strategy strategy NOUN fbem-5851 87 30 that that PRON fbem-5851 87 31 allows allow VERB fbem-5851 87 32 for for ADP fbem-5851 87 33 optimal optimal ADJ fbem-5851 87 34 distribution distribution NOUN fbem-5851 87 35 lots lot NOUN fbem-5851 87 36 and and CCONJ fbem-5851 87 37 order order NOUN fbem-5851 87 38 points point NOUN fbem-5851 87 39 for for ADP fbem-5851 87 40 each each DET fbem-5851 87 41 supplier supplier NOUN fbem-5851 87 42 . . PUNCT fbem-5851 88 1 ( ( PUNCT fbem-5851 88 2 2 2 X fbem-5851 88 3 ) ) PUNCT fbem-5851 88 4 the the DET fbem-5851 88 5 number number NOUN fbem-5851 88 6 of of ADP fbem-5851 88 7 suppliers supplier NOUN fbem-5851 88 8 involved involve VERB fbem-5851 88 9 in in ADP fbem-5851 88 10 the the DET fbem-5851 88 11 supply supply NOUN fbem-5851 88 12 logistics logistic NOUN fbem-5851 88 13 system system NOUN fbem-5851 88 14 has have VERB fbem-5851 88 15 a a DET fbem-5851 88 16 significant significant ADJ fbem-5851 88 17 impact impact NOUN fbem-5851 88 18 on on ADP fbem-5851 88 19 the the DET fbem-5851 88 20 operating operating NOUN fbem-5851 88 21 costs cost NOUN fbem-5851 88 22 . . PUNCT fbem-5851 89 1 as as ADP fbem-5851 89 2 the the DET fbem-5851 89 3 number number NOUN fbem-5851 89 4 of of ADP fbem-5851 89 5 suppliers supplier NOUN fbem-5851 89 6 increases increase NOUN fbem-5851 89 7 , , PUNCT fbem-5851 89 8 the the DET fbem-5851 89 9 increase increase NOUN fbem-5851 89 10 in in ADP fbem-5851 89 11 supply supply NOUN fbem-5851 89 12 logistics logistic NOUN fbem-5851 89 13 operating operating NOUN fbem-5851 89 14 costs cost NOUN fbem-5851 89 15 decreases decrease VERB fbem-5851 89 16 , , PUNCT fbem-5851 89 17 indicating indicate VERB fbem-5851 89 18 that that SCONJ fbem-5851 89 19 there there PRON fbem-5851 89 20 is be VERB fbem-5851 89 21 a a DET fbem-5851 89 22 certain certain ADJ fbem-5851 89 23 scale scale NOUN fbem-5851 89 24 effect effect NOUN fbem-5851 89 25 when when SCONJ fbem-5851 89 26 multiple multiple ADJ fbem-5851 89 27 suppliers supplier NOUN fbem-5851 89 28 collaborate collaborate VERB fbem-5851 89 29 to to ADP fbem-5851 89 30 replenish replenish NOUN fbem-5851 89 31 goods good NOUN fbem-5851 89 32 , , PUNCT fbem-5851 89 33 and and CCONJ fbem-5851 89 34 the the DET fbem-5851 89 35 cost cost NOUN fbem-5851 89 36 is be AUX fbem-5851 89 37 controlled control VERB fbem-5851 89 38 under under ADP fbem-5851 89 39 the the DET fbem-5851 89 40 unified unify VERB fbem-5851 89 41 allocation allocation NOUN fbem-5851 89 42 management management NOUN fbem-5851 89 43 of of ADP fbem-5851 89 44 supply supply NOUN fbem-5851 89 45 - - PUNCT fbem-5851 89 46 hub hub NOUN fbem-5851 89 47 . . PUNCT fbem-5851 90 1 ( ( PUNCT fbem-5851 90 2 3 3 X fbem-5851 90 3 ) ) PUNCT fbem-5851 90 4 the the DET fbem-5851 90 5 supply supply NOUN fbem-5851 90 6 - - PUNCT fbem-5851 90 7 hub hub NOUN fbem-5851 90 8 model model NOUN fbem-5851 90 9 has have VERB fbem-5851 90 10 a a DET fbem-5851 90 11 certain certain ADJ fbem-5851 90 12 degree degree NOUN fbem-5851 90 13 of of ADP fbem-5851 90 14 integration integration NOUN fbem-5851 90 15 and and CCONJ fbem-5851 90 16 coordination coordination NOUN fbem-5851 90 17 that that PRON fbem-5851 90 18 can can AUX fbem-5851 90 19 mitigate mitigate VERB fbem-5851 90 20 this this DET fbem-5851 90 21 effect effect NOUN fbem-5851 90 22 to to ADP fbem-5851 90 23 a a DET fbem-5851 90 24 certain certain ADJ fbem-5851 90 25 extent extent NOUN fbem-5851 90 26 . . PUNCT fbem-5851 91 1 references reference NOUN fbem-5851 91 2 [ [ X fbem-5851 91 3 1 1 NUM fbem-5851 91 4 ] ] X fbem-5851 91 5 gb gb PROPN fbem-5851 91 6 / / SYM fbem-5851 91 7 t t NOUN fbem-5851 91 8 18354 18354 NUM fbem-5851 91 9 - - SYM fbem-5851 91 10 2021 2021 NUM fbem-5851 91 11 , , PUNCT fbem-5851 91 12 logistics logistic NOUN fbem-5851 91 13 terminology terminology NOUN fbem-5851 92 1 [ [ X fbem-5851 92 2 s s X fbem-5851 92 3 ] ] X fbem-5851 92 4 . . PUNCT fbem-5851 93 1 [ [ X fbem-5851 93 2 2 2 NUM fbem-5851 93 3 ] ] X fbem-5851 93 4 bowersox bowersox PROPN fbem-5851 93 5 , , PUNCT fbem-5851 93 6 d.j d.j PROPN fbem-5851 93 7 . . PROPN fbem-5851 93 8 , , PUNCT fbem-5851 93 9 closs closs PROPN fbem-5851 93 10 , , PUNCT fbem-5851 93 11 d. d. PROPN fbem-5851 93 12 j. j. PROPN fbem-5851 93 13 logistical logistical PROPN fbem-5851 93 14 management management NOUN fbem-5851 93 15 : : PUNCT fbem-5851 93 16 the the DET fbem-5851 93 17 integrated integrate VERB fbem-5851 93 18 supply supply NOUN fbem-5851 93 19 chain chain NOUN fbem-5851 93 20 process process NOUN fbem-5851 93 21 [ [ X fbem-5851 93 22 m m X fbem-5851 93 23 ] ] X fbem-5851 93 24 . . PUNCT fbem-5851 94 1 new new PROPN fbem-5851 94 2 york york PROPN fbem-5851 94 3 : : PUNCT fbem-5851 94 4 mcgraw mcgraw PROPN fbem-5851 94 5 hill,1996 hill,1996 NOUN fbem-5851 94 6 . . PUNCT fbem-5851 95 1 [ [ X fbem-5851 95 2 3 3 NUM fbem-5851 95 3 ] ] X fbem-5851 95 4 gui gui NOUN fbem-5851 95 5 , , PUNCT fbem-5851 95 6 h. h. PROPN fbem-5851 95 7 m. m. PROPN fbem-5851 95 8 ,and ,and PUNCT fbem-5851 95 9 ma ma PROPN fbem-5851 95 10 , , PUNCT fbem-5851 95 11 s. s. PROPN fbem-5851 95 12 h h PROPN fbem-5851 95 13 .. .. PUNCT fbem-5851 95 14 " " PUNCT fbem-5851 95 15 a a DET fbem-5851 95 16 study study NOUN fbem-5851 95 17 on on ADP fbem-5851 95 18 multi multi ADJ fbem-5851 95 19 - - ADJ fbem-5851 95 20 source source ADJ fbem-5851 95 21 supply supply NOUN fbem-5851 95 22 model model NOUN fbem-5851 95 23 and and CCONJ fbem-5851 95 24 collaborative collaborative ADJ fbem-5851 95 25 batch batch NOUN fbem-5851 95 26 decision decision NOUN fbem-5851 95 27 making making NOUN fbem-5851 95 28 in in ADP fbem-5851 95 29 supply supply NOUN fbem-5851 95 30 - - PUNCT fbem-5851 95 31 hub hub NOUN fbem-5851 95 32 environment environment NOUN fbem-5851 95 33 . . PUNCT fbem-5851 95 34 " " PUNCT fbem-5851 96 1 china china PROPN fbem-5851 96 2 management management PROPN fbem-5851 96 3 science science NOUN fbem-5851 96 4 18.01(2010):78 18.01(2010):78 PROPN fbem-5851 96 5 - - PROPN fbem-5851 96 6 82 82 NUM fbem-5851 96 7 . . PUNCT fbem-5851 96 8 doi:10.16381 doi:10.16381 PROPN fbem-5851 96 9 / / SYM fbem-5851 96 10 j.cnki.issn1003 j.cnki.issn1003 PROPN fbem-5851 96 11 - - PUNCT fbem-5851 96 12 207x.2010.01.015 207x.2010.01.015 NUM fbem-5851 96 13 . . PUNCT fbem-5851 97 1 [ [ X fbem-5851 97 2 4 4 NUM fbem-5851 97 3 ] ] X fbem-5851 97 4 huang huang PROPN fbem-5851 97 5 , , PUNCT fbem-5851 97 6 xiao xiao PROPN fbem-5851 97 7 - - PUNCT fbem-5851 97 8 ling ling PROPN fbem-5851 97 9 , , PUNCT fbem-5851 97 10 et et PROPN fbem-5851 97 11 al al PROPN fbem-5851 97 12 . . PUNCT fbem-5851 98 1 " " PUNCT fbem-5851 98 2 demand demand VERB fbem-5851 98 3 detachable detachable ADJ fbem-5851 98 4 milk milk NOUN fbem-5851 98 5 - - PUNCT fbem-5851 98 6 run run VERB fbem-5851 98 7 and and CCONJ fbem-5851 98 8 supply supply NOUN fbem-5851 98 9 - - PUNCT fbem-5851 98 10 hub hub NOUN fbem-5851 98 11 synergy synergy NOUN fbem-5851 98 12 for for ADP fbem-5851 98 13 inbound inbound ADJ fbem-5851 98 14 logistics logistic NOUN fbem-5851 98 15 optimization optimization NOUN fbem-5851 98 16 of of ADP fbem-5851 98 17 automotive automotive ADJ fbem-5851 98 18 parts part NOUN fbem-5851 98 19 . . PUNCT fbem-5851 98 20 " " PUNCT fbem-5851 99 1 china china PROPN fbem-5851 99 2 management management PROPN fbem-5851 99 3 science science NOUN fbem-5851 99 4 30.07 30.07 NUM fbem-5851 99 5 ( ( PUNCT fbem-5851 99 6 2022):59 2022):59 NUM fbem-5851 99 7 - - SYM fbem-5851 99 8 68 68 NUM fbem-5851 99 9 . . PUNCT fbem-5851 100 1 doi:10.16381 doi:10.16381 NOUN fbem-5851 100 2 / / SYM fbem-5851 100 3 j.cnki.issn1003 j.cnki.issn1003 PROPN fbem-5851 100 4 - - PUNCT fbem-5851 100 5 207x.2019.1806 207x.2019.1806 NOUN fbem-5851 100 6 . . PUNCT fbem-5851 101 1 [ [ X fbem-5851 101 2 5 5 NUM fbem-5851 101 3 ] ] X fbem-5851 101 4 farsi farsi PROPN fbem-5851 101 5 e e NOUN fbem-5851 101 6 , , PUNCT fbem-5851 101 7 yegane yegane PROPN fbem-5851 101 8 b b PROPN fbem-5851 101 9 y y PROPN fbem-5851 101 10 , , PUNCT fbem-5851 101 11 moniri moniri NOUN fbem-5851 101 12 a a PRON fbem-5851 101 13 . . PUNCT fbem-5851 102 1 simultaneous simultaneous ADJ fbem-5851 102 2 pricing pricing NOUN fbem-5851 102 3 , , PUNCT fbem-5851 102 4 routing routing NOUN fbem-5851 102 5 , , PUNCT fbem-5851 102 6 and and CCONJ fbem-5851 102 7 inventory inventory NOUN fbem-5851 102 8 control control NOUN fbem-5851 102 9 for for ADP fbem-5851 102 10 perishable perishable ADJ fbem-5851 102 11 goods good NOUN fbem-5851 102 12 in in ADP fbem-5851 102 13 a a DET fbem-5851 102 14 twoechelon twoechelon NOUN fbem-5851 102 15 supply supply NOUN fbem-5851 102 16 chain chain NOUN fbem-5851 102 17 . . PUNCT fbem-5851 103 1 2018 2018 NUM fbem-5851 103 2 . . PUNCT fbem-5851 104 1 [ [ X fbem-5851 104 2 6 6 NUM fbem-5851 104 3 ] ] PUNCT fbem-5851 104 4 jianhong jianhong PROPN fbem-5851 104 5 yu yu PROPN fbem-5851 104 6 and and CCONJ fbem-5851 104 7 jennifer jennifer PROPN fbem-5851 104 8 shang shang PROPN fbem-5851 104 9 and and CCONJ fbem-5851 104 10 wenchyuan wenchyuan PROPN fbem-5851 104 11 chiang chiang PROPN fbem-5851 104 12 . . PUNCT fbem-5851 105 1 coordinated coordinate VERB fbem-5851 105 2 replenishment replenishment NOUN fbem-5851 105 3 policy policy NOUN fbem-5851 105 4 in in ADP fbem-5851 105 5 an an DET fbem-5851 105 6 assembly assembly NOUN fbem-5851 105 7 system system NOUN fbem-5851 105 8 based base VERB fbem-5851 105 9 on on ADP fbem-5851 105 10 supply supply NOUN fbem-5851 105 11 - - PUNCT fbem-5851 105 12 hub[j hub[j NOUN fbem-5851 105 13 ] ] PUNCT fbem-5851 105 14 . . PUNCT fbem-5851 106 1 american american PROPN fbem-5851 106 2 journal journal PROPN fbem-5851 106 3 of of ADP fbem-5851 106 4 operations operation NOUN fbem-5851 106 5 management management NOUN fbem-5851 106 6 and and CCONJ fbem-5851 106 7 information information NOUN fbem-5851 106 8 systems system NOUN fbem-5851 106 9 , , PUNCT fbem-5851 106 10 2019 2019 NUM fbem-5851 106 11 , , PUNCT fbem-5851 106 12 4(1 4(1 NUM fbem-5851 106 13 ) ) PUNCT fbem-5851 106 14 : : PUNCT fbem-5851 106 15 26 26 NUM fbem-5851 106 16 - - SYM fbem-5851 106 17 38 38 NUM fbem-5851 106 18 . . PUNCT fbem-5851 106 19 16400 16400 NUM fbem-5851 106 20 16600 16600 NUM fbem-5851 106 21 16800 16800 NUM fbem-5851 106 22 17000 17000 NUM fbem-5851 106 23 17200 17200 NUM fbem-5851 106 24 17400 17400 NUM fbem-5851 106 25 17600 17600 NUM fbem-5851 106 26 17800 17800 NUM fbem-5851 106 27 18000 18000 NUM fbem-5851 106 28 18200 18200 NUM fbem-5851 106 29 18400 18400 NUM fbem-5851 106 30 18600 18600 NUM fbem-5851 106 31 1 1 NUM fbem-5851 106 32 2 2 NUM fbem-5851 106 33 3 3 NUM fbem-5851 106 34 4 4 NUM fbem-5851 106 35 5 5 NUM fbem-5851 106 36 6 6 NUM fbem-5851 106 37 7 7 NUM fbem-5851 106 38 8 8 NUM fbem-5851 106 39 9 9 NUM fbem-5851 106 40 10 10 NUM fbem-5851 106 41 tc tc NOUN fbem-5851 106 42 of of ADP fbem-5851 106 43 incremental incremental ADJ