id sid tid token lemma pos fbem-8403 1 1 frontiers frontier NOUN fbem-8403 1 2 in in ADP fbem-8403 1 3 business business NOUN fbem-8403 1 4 , , PUNCT fbem-8403 1 5 economics economic NOUN fbem-8403 1 6 and and CCONJ fbem-8403 1 7 management management NOUN fbem-8403 1 8 issn issn PROPN fbem-8403 1 9 : : PUNCT fbem-8403 1 10 2766 2766 NUM fbem-8403 1 11 - - PUNCT fbem-8403 1 12 824x 824x NUM fbem-8403 1 13 | | ADJ fbem-8403 1 14 vol vol NOUN fbem-8403 1 15 . . PROPN fbem-8403 2 1 9 9 NUM fbem-8403 2 2 , , PUNCT fbem-8403 2 3 no no INTJ fbem-8403 2 4 . . NOUN fbem-8403 2 5 1 1 NUM fbem-8403 2 6 , , PUNCT fbem-8403 2 7 2023 2023 NUM fbem-8403 2 8 107 107 NUM fbem-8403 2 9 research research NOUN fbem-8403 2 10 on on ADP fbem-8403 2 11 retailers retailer NOUN fbem-8403 2 12 ' ' PART fbem-8403 2 13 ordering ordering NOUN fbem-8403 2 14 strategies strategy NOUN fbem-8403 2 15 considering consider VERB fbem-8403 2 16 customer customer NOUN fbem-8403 2 17 behavior behavior NOUN fbem-8403 2 18 responses response NOUN fbem-8403 2 19 under under ADP fbem-8403 2 20 the the DET fbem-8403 2 21 risk risk NOUN fbem-8403 2 22 of of ADP fbem-8403 2 23 supply supply NOUN fbem-8403 2 24 disruption disruption NOUN fbem-8403 2 25 xiaoying xiaoye VERB fbem-8403 2 26 guo guo PROPN fbem-8403 2 27 * * SYM fbem-8403 2 28 hebei hebei PROPN fbem-8403 2 29 university university PROPN fbem-8403 2 30 of of ADP fbem-8403 2 31 technology technology PROPN fbem-8403 2 32 , , PUNCT fbem-8403 2 33 tianjin tianjin PROPN fbem-8403 2 34 , , PUNCT fbem-8403 2 35 china china PROPN fbem-8403 2 36 * * PUNCT fbem-8403 2 37 corresponding correspond VERB fbem-8403 2 38 author author NOUN fbem-8403 2 39 : : PUNCT fbem-8403 2 40 guoxy9802@163.com guoxy9802@163.com X fbem-8403 2 41 abstract abstract NOUN fbem-8403 2 42 : : PUNCT fbem-8403 2 43 on on ADP fbem-8403 2 44 the the DET fbem-8403 2 45 basis basis NOUN fbem-8403 2 46 of of ADP fbem-8403 2 47 considering consider VERB fbem-8403 2 48 a a DET fbem-8403 2 49 two two NUM fbem-8403 2 50 - - PUNCT fbem-8403 2 51 level level NOUN fbem-8403 2 52 supply supply NOUN fbem-8403 2 53 chain chain NOUN fbem-8403 2 54 consisting consist VERB fbem-8403 2 55 of of ADP fbem-8403 2 56 a a DET fbem-8403 2 57 retailer retailer NOUN fbem-8403 2 58 and and CCONJ fbem-8403 2 59 two two NUM fbem-8403 2 60 suppliers supplier NOUN fbem-8403 2 61 , , PUNCT fbem-8403 2 62 the the DET fbem-8403 2 63 expected expect VERB fbem-8403 2 64 profit profit NOUN fbem-8403 2 65 model model NOUN fbem-8403 2 66 under under ADP fbem-8403 2 67 the the DET fbem-8403 2 68 single single ADJ fbem-8403 2 69 - - PUNCT fbem-8403 2 70 source source NOUN fbem-8403 2 71 and and CCONJ fbem-8403 2 72 dual dual ADJ fbem-8403 2 73 - - PUNCT fbem-8403 2 74 source source NOUN fbem-8403 2 75 procurement procurement NOUN fbem-8403 2 76 patterns pattern NOUN fbem-8403 2 77 of of ADP fbem-8403 2 78 the the DET fbem-8403 2 79 retailer retailer NOUN fbem-8403 2 80 was be AUX fbem-8403 2 81 constructed construct VERB fbem-8403 2 82 to to PART fbem-8403 2 83 explore explore VERB fbem-8403 2 84 the the DET fbem-8403 2 85 impact impact NOUN fbem-8403 2 86 of of ADP fbem-8403 2 87 supply supply NOUN fbem-8403 2 88 disruption disruption NOUN fbem-8403 2 89 risk risk NOUN fbem-8403 2 90 on on ADP fbem-8403 2 91 the the DET fbem-8403 2 92 retailer retailer NOUN fbem-8403 2 93 's 's PART fbem-8403 2 94 choice choice NOUN fbem-8403 2 95 of of ADP fbem-8403 2 96 suppliers supplier NOUN fbem-8403 2 97 , , PUNCT fbem-8403 2 98 and and CCONJ fbem-8403 2 99 then then ADV fbem-8403 2 100 to to PART fbem-8403 2 101 obtain obtain VERB fbem-8403 2 102 the the DET fbem-8403 2 103 optimal optimal ADJ fbem-8403 2 104 ordering ordering NOUN fbem-8403 2 105 strategy strategy NOUN fbem-8403 2 106 and and CCONJ fbem-8403 2 107 the the DET fbem-8403 2 108 expected expect VERB fbem-8403 2 109 profit profit NOUN fbem-8403 2 110 of of ADP fbem-8403 2 111 the the DET fbem-8403 2 112 retailer retailer NOUN fbem-8403 2 113 under under ADP fbem-8403 2 114 different different ADJ fbem-8403 2 115 conditions condition NOUN fbem-8403 2 116 . . PUNCT fbem-8403 3 1 results result NOUN fbem-8403 3 2 show show VERB fbem-8403 3 3 that that SCONJ fbem-8403 3 4 : : PUNCT fbem-8403 3 5 ( ( PUNCT fbem-8403 3 6 1 1 X fbem-8403 3 7 ) ) PUNCT fbem-8403 3 8 retailers retailer NOUN fbem-8403 3 9 ' ' PART fbem-8403 3 10 ordering ordering NOUN fbem-8403 3 11 strategies strategy NOUN fbem-8403 3 12 are be AUX fbem-8403 3 13 influenced influence VERB fbem-8403 3 14 by by ADP fbem-8403 3 15 a a DET fbem-8403 3 16 variety variety NOUN fbem-8403 3 17 of of ADP fbem-8403 3 18 factors factor NOUN fbem-8403 3 19 , , PUNCT fbem-8403 3 20 such such ADJ fbem-8403 3 21 as as ADP fbem-8403 3 22 the the DET fbem-8403 3 23 risk risk NOUN fbem-8403 3 24 of of ADP fbem-8403 3 25 supply supply NOUN fbem-8403 3 26 disruption disruption NOUN fbem-8403 3 27 , , PUNCT fbem-8403 3 28 the the DET fbem-8403 3 29 selling selling NOUN fbem-8403 3 30 price price NOUN fbem-8403 3 31 of of ADP fbem-8403 3 32 goods good NOUN fbem-8403 3 33 , , PUNCT fbem-8403 3 34 the the DET fbem-8403 3 35 retailer retailer NOUN fbem-8403 3 36 's 's PART fbem-8403 3 37 out out ADV fbem-8403 3 38 - - PUNCT fbem-8403 3 39 of of ADP fbem-8403 3 40 - - PUNCT fbem-8403 3 41 stock stock NOUN fbem-8403 3 42 costs cost NOUN fbem-8403 3 43 , , PUNCT fbem-8403 3 44 option option NOUN fbem-8403 3 45 contract contract NOUN fbem-8403 3 46 prices price NOUN fbem-8403 3 47 , , PUNCT fbem-8403 3 48 and and CCONJ fbem-8403 3 49 execution execution NOUN fbem-8403 3 50 prices price NOUN fbem-8403 3 51 . . PUNCT fbem-8403 4 1 that that PRON fbem-8403 4 2 is be AUX fbem-8403 4 3 , , PUNCT fbem-8403 4 4 retailers retailer NOUN fbem-8403 4 5 are be AUX fbem-8403 4 6 more more ADV fbem-8403 4 7 inclined inclined ADJ fbem-8403 4 8 to to PART fbem-8403 4 9 adopt adopt VERB fbem-8403 4 10 a a DET fbem-8403 4 11 dual dual ADJ fbem-8403 4 12 - - PUNCT fbem-8403 4 13 source source NOUN fbem-8403 4 14 sourcing sourcing NOUN fbem-8403 4 15 strategy strategy NOUN fbem-8403 4 16 when when SCONJ fbem-8403 4 17 option option NOUN fbem-8403 4 18 prices price NOUN fbem-8403 4 19 and and CCONJ fbem-8403 4 20 strike strike VERB fbem-8403 4 21 prices price NOUN fbem-8403 4 22 decrease decrease VERB fbem-8403 4 23 or or CCONJ fbem-8403 4 24 when when SCONJ fbem-8403 4 25 selling sell VERB fbem-8403 4 26 prices price NOUN fbem-8403 4 27 and and CCONJ fbem-8403 4 28 out out ADP fbem-8403 4 29 - - PUNCT fbem-8403 4 30 of of ADP fbem-8403 4 31 - - PUNCT fbem-8403 4 32 stock stock NOUN fbem-8403 4 33 costs cost NOUN fbem-8403 4 34 increase increase NOUN fbem-8403 4 35 . . PUNCT fbem-8403 5 1 ( ( PUNCT fbem-8403 5 2 2 2 X fbem-8403 5 3 ) ) PUNCT fbem-8403 5 4 retailers retailer NOUN fbem-8403 5 5 would would AUX fbem-8403 5 6 choose choose VERB fbem-8403 5 7 to to PART fbem-8403 5 8 single single ADJ fbem-8403 5 9 source source NOUN fbem-8403 5 10 from from ADP fbem-8403 5 11 risk risk NOUN fbem-8403 5 12 suppliers supplier NOUN fbem-8403 5 13 rather rather ADV fbem-8403 5 14 than than ADP fbem-8403 5 15 option option NOUN fbem-8403 5 16 suppliers supplier NOUN fbem-8403 5 17 in in ADP fbem-8403 5 18 order order NOUN fbem-8403 5 19 to to PART fbem-8403 5 20 maximize maximize VERB fbem-8403 5 21 profits profit NOUN fbem-8403 5 22 . . PUNCT fbem-8403 6 1 ( ( PUNCT fbem-8403 6 2 3 3 X fbem-8403 6 3 ) ) PUNCT fbem-8403 6 4 when when SCONJ fbem-8403 6 5 the the DET fbem-8403 6 6 risk risk NOUN fbem-8403 6 7 of of ADP fbem-8403 6 8 supply supply NOUN fbem-8403 6 9 interruption interruption NOUN fbem-8403 6 10 increases increase NOUN fbem-8403 6 11 , , PUNCT fbem-8403 6 12 the the DET fbem-8403 6 13 expected expect VERB fbem-8403 6 14 profit profit NOUN fbem-8403 6 15 of of ADP fbem-8403 6 16 retailers retailer NOUN fbem-8403 6 17 would would AUX fbem-8403 6 18 decrease decrease VERB fbem-8403 6 19 . . PUNCT fbem-8403 7 1 although although SCONJ fbem-8403 7 2 the the DET fbem-8403 7 3 use use NOUN fbem-8403 7 4 of of ADP fbem-8403 7 5 option option NOUN fbem-8403 7 6 contracts contract NOUN fbem-8403 7 7 can can AUX fbem-8403 7 8 withstand withstand VERB fbem-8403 7 9 certain certain ADJ fbem-8403 7 10 interruption interruption NOUN fbem-8403 7 11 risks risk NOUN fbem-8403 7 12 , , PUNCT fbem-8403 7 13 adding add VERB fbem-8403 7 14 option option NOUN fbem-8403 7 15 suppliers supplier NOUN fbem-8403 7 16 is be AUX fbem-8403 7 17 not not PART fbem-8403 7 18 always always ADV fbem-8403 7 19 better well ADJ fbem-8403 7 20 than than ADP fbem-8403 7 21 purchasing purchase VERB fbem-8403 7 22 from from ADP fbem-8403 7 23 risk risk NOUN fbem-8403 7 24 suppliers supplier NOUN fbem-8403 7 25 alone alone ADV fbem-8403 7 26 . . PUNCT fbem-8403 8 1 keywords keyword NOUN fbem-8403 8 2 : : PUNCT fbem-8403 8 3 supply supply VERB fbem-8403 8 4 disruption disruption NOUN fbem-8403 8 5 risk risk NOUN fbem-8403 8 6 , , PUNCT fbem-8403 8 7 option option NOUN fbem-8403 8 8 contracts contract NOUN fbem-8403 8 9 , , PUNCT fbem-8403 8 10 ordering order VERB fbem-8403 8 11 strategy strategy NOUN fbem-8403 8 12 . . PUNCT fbem-8403 9 1 1 1 X fbem-8403 9 2 . . X fbem-8403 9 3 introduction introduction NOUN fbem-8403 9 4 with with ADP fbem-8403 9 5 the the DET fbem-8403 9 6 development development NOUN fbem-8403 9 7 of of ADP fbem-8403 9 8 global global ADJ fbem-8403 9 9 purchasing purchasing NOUN fbem-8403 9 10 and and CCONJ fbem-8403 9 11 sales sale NOUN fbem-8403 9 12 , , PUNCT fbem-8403 9 13 business business NOUN fbem-8403 9 14 outsourcing outsourcing NOUN fbem-8403 9 15 , , PUNCT fbem-8403 9 16 lean lean ADJ fbem-8403 9 17 production production NOUN fbem-8403 9 18 and and CCONJ fbem-8403 9 19 other other ADJ fbem-8403 9 20 operation operation NOUN fbem-8403 9 21 modes mode NOUN fbem-8403 9 22 , , PUNCT fbem-8403 9 23 the the DET fbem-8403 9 24 supply supply NOUN fbem-8403 9 25 chain chain NOUN fbem-8403 9 26 has have VERB fbem-8403 9 27 a a DET fbem-8403 9 28 more more ADV fbem-8403 9 29 complex complex ADJ fbem-8403 9 30 network network NOUN fbem-8403 9 31 structure structure NOUN fbem-8403 9 32 , , PUNCT fbem-8403 9 33 and and CCONJ fbem-8403 9 34 its its PRON fbem-8403 9 35 interruption interruption NOUN fbem-8403 9 36 risk risk NOUN fbem-8403 9 37 has have AUX fbem-8403 9 38 also also ADV fbem-8403 9 39 shown show VERB fbem-8403 9 40 an an DET fbem-8403 9 41 increasing increase VERB fbem-8403 9 42 trend trend NOUN fbem-8403 10 1 [ [ X fbem-8403 10 2 1 1 NUM fbem-8403 10 3 ] ] PUNCT fbem-8403 10 4 . . PUNCT fbem-8403 11 1 accenture accenture PROPN fbem-8403 11 2 surveyed survey VERB fbem-8403 11 3 151 151 NUM fbem-8403 11 4 large large ADJ fbem-8403 11 5 u.s u.s PROPN fbem-8403 11 6 . . PROPN fbem-8403 11 7 supply supply NOUN fbem-8403 11 8 chain chain NOUN fbem-8403 11 9 companies company NOUN fbem-8403 11 10 , , PUNCT fbem-8403 11 11 and and CCONJ fbem-8403 11 12 73 73 NUM fbem-8403 11 13 % % NOUN fbem-8403 11 14 of of ADP fbem-8403 11 15 them they PRON fbem-8403 11 16 experienced experience VERB fbem-8403 11 17 severe severe ADJ fbem-8403 11 18 supply supply NOUN fbem-8403 11 19 disruptions disruption NOUN fbem-8403 11 20 in in ADP fbem-8403 11 21 the the DET fbem-8403 11 22 past past ADJ fbem-8403 11 23 five five NUM fbem-8403 11 24 years year NOUN fbem-8403 11 25 , , PUNCT fbem-8403 11 26 resulting result VERB fbem-8403 11 27 in in ADP fbem-8403 11 28 significant significant ADJ fbem-8403 11 29 losses loss NOUN fbem-8403 11 30 , , PUNCT fbem-8403 11 31 and and CCONJ fbem-8403 11 32 36 36 NUM fbem-8403 11 33 % % NOUN fbem-8403 11 34 of of ADP fbem-8403 11 35 them they PRON fbem-8403 11 36 took take VERB fbem-8403 11 37 more more ADJ fbem-8403 11 38 than than ADP fbem-8403 11 39 a a PRON fbem-8403 11 40 month month NOUN fbem-8403 11 41 to to PART fbem-8403 11 42 recover recover VERB fbem-8403 11 43 [ [ X fbem-8403 11 44 2 2 NUM fbem-8403 11 45 ] ] PUNCT fbem-8403 11 46 . . PUNCT fbem-8403 12 1 the the DET fbem-8403 12 2 increased increase VERB fbem-8403 12 3 uncertainty uncertainty NOUN fbem-8403 12 4 of of ADP fbem-8403 12 5 international international ADJ fbem-8403 12 6 trade trade NOUN fbem-8403 12 7 relations relation NOUN fbem-8403 12 8 and and CCONJ fbem-8403 12 9 the the DET fbem-8403 12 10 unstable unstable ADJ fbem-8403 12 11 development development NOUN fbem-8403 12 12 of of ADP fbem-8403 12 13 the the DET fbem-8403 12 14 new new ADJ fbem-8403 12 15 crown crown NOUN fbem-8403 12 16 epidemic epidemic NOUN fbem-8403 12 17 have have AUX fbem-8403 12 18 led lead VERB fbem-8403 12 19 many many ADJ fbem-8403 12 20 parts part NOUN fbem-8403 12 21 of of ADP fbem-8403 12 22 the the DET fbem-8403 12 23 country country NOUN fbem-8403 12 24 to to PART fbem-8403 12 25 adopt adopt VERB fbem-8403 12 26 a a DET fbem-8403 12 27 series series NOUN fbem-8403 12 28 of of ADP fbem-8403 12 29 control control NOUN fbem-8403 12 30 measures measure NOUN fbem-8403 12 31 such such ADJ fbem-8403 12 32 as as ADP fbem-8403 12 33 " " PUNCT fbem-8403 12 34 lockdown lockdown NOUN fbem-8403 12 35 " " PUNCT fbem-8403 12 36 , , PUNCT fbem-8403 12 37 control control NOUN fbem-8403 12 38 of of ADP fbem-8403 12 39 the the DET fbem-8403 12 40 movement movement NOUN fbem-8403 12 41 of of ADP fbem-8403 12 42 people people NOUN fbem-8403 12 43 , , PUNCT fbem-8403 12 44 extension extension NOUN fbem-8403 12 45 of of ADP fbem-8403 12 46 public public ADJ fbem-8403 12 47 holidays holiday NOUN fbem-8403 12 48 and and CCONJ fbem-8403 12 49 control control NOUN fbem-8403 12 50 of of ADP fbem-8403 12 51 transportation transportation NOUN fbem-8403 12 52 , , PUNCT fbem-8403 12 53 which which PRON fbem-8403 12 54 have have AUX fbem-8403 12 55 exacerbated exacerbate VERB fbem-8403 12 56 the the DET fbem-8403 12 57 risk risk NOUN fbem-8403 12 58 of of ADP fbem-8403 12 59 supply supply NOUN fbem-8403 12 60 disruption disruption NOUN fbem-8403 12 61 . . PUNCT fbem-8403 13 1 in in ADP fbem-8403 13 2 the the DET fbem-8403 13 3 face face NOUN fbem-8403 13 4 of of ADP fbem-8403 13 5 frequent frequent ADJ fbem-8403 13 6 supply supply NOUN fbem-8403 13 7 interruptions interruption NOUN fbem-8403 13 8 , , PUNCT fbem-8403 13 9 enterprises enterprise NOUN fbem-8403 13 10 need need VERB fbem-8403 13 11 to to PART fbem-8403 13 12 formulate formulate VERB fbem-8403 13 13 reasonable reasonable ADJ fbem-8403 13 14 ordering ordering NOUN fbem-8403 13 15 strategies strategy NOUN fbem-8403 13 16 for for ADP fbem-8403 13 17 risk risk NOUN fbem-8403 13 18 control control NOUN fbem-8403 13 19 . . PUNCT fbem-8403 14 1 at at ADP fbem-8403 14 2 present present ADJ fbem-8403 14 3 , , PUNCT fbem-8403 14 4 the the DET fbem-8403 14 5 research research NOUN fbem-8403 14 6 on on ADP fbem-8403 14 7 ordering order VERB fbem-8403 14 8 strategy strategy NOUN fbem-8403 14 9 mainly mainly ADV fbem-8403 14 10 includes include VERB fbem-8403 14 11 : : PUNCT fbem-8403 14 12 the the DET fbem-8403 14 13 number number NOUN fbem-8403 14 14 of of ADP fbem-8403 14 15 suppliers supplier NOUN fbem-8403 14 16 [ [ X fbem-8403 14 17 3 3 NUM fbem-8403 14 18 - - SYM fbem-8403 14 19 6 6 NUM fbem-8403 14 20 ] ] PUNCT fbem-8403 14 21 , , PUNCT fbem-8403 14 22 order order NOUN fbem-8403 14 23 allocation allocation NOUN fbem-8403 14 24 [ [ X fbem-8403 14 25 710 710 X fbem-8403 14 26 ] ] PUNCT fbem-8403 14 27 and and CCONJ fbem-8403 14 28 combined combined ADJ fbem-8403 14 29 contract contract NOUN fbem-8403 14 30 theory theory NOUN fbem-8403 14 31 [ [ X fbem-8403 14 32 11 11 NUM fbem-8403 14 33 - - SYM fbem-8403 14 34 17 17 NUM fbem-8403 14 35 ] ] PUNCT fbem-8403 14 36 coordinate coordinate NOUN fbem-8403 14 37 the the DET fbem-8403 14 38 entire entire ADJ fbem-8403 14 39 supply supply NOUN fbem-8403 14 40 chain chain NOUN fbem-8403 14 41 , , PUNCT fbem-8403 14 42 etc etc X fbem-8403 14 43 . . X fbem-8403 14 44 among among ADP fbem-8403 14 45 them they PRON fbem-8403 14 46 , , PUNCT fbem-8403 14 47 huang huang PROPN fbem-8403 14 48 ran run VERB fbem-8403 14 49 [ [ X fbem-8403 14 50 3 3 X fbem-8403 14 51 ] ] PUNCT fbem-8403 14 52 explored explore VERB fbem-8403 14 53 the the DET fbem-8403 14 54 relationship relationship NOUN fbem-8403 14 55 between between ADP fbem-8403 14 56 enterprise enterprise NOUN fbem-8403 14 57 default default NOUN fbem-8403 14 58 risk risk NOUN fbem-8403 14 59 and and CCONJ fbem-8403 14 60 the the DET fbem-8403 14 61 selection selection NOUN fbem-8403 14 62 of of ADP fbem-8403 14 63 supplier supplier NOUN fbem-8403 14 64 number number NOUN fbem-8403 14 65 , , PUNCT fbem-8403 14 66 and and CCONJ fbem-8403 14 67 the the DET fbem-8403 14 68 results result NOUN fbem-8403 14 69 show show VERB fbem-8403 14 70 that that SCONJ fbem-8403 14 71 the the DET fbem-8403 14 72 enterprise enterprise NOUN fbem-8403 14 73 default default NOUN fbem-8403 14 74 risk risk NOUN fbem-8403 14 75 changes change NOUN fbem-8403 14 76 positively positively ADV fbem-8403 14 77 u u NOUN fbem-8403 14 78 - - VERB fbem-8403 14 79 shaped shape VERB fbem-8403 14 80 with with ADP fbem-8403 14 81 the the DET fbem-8403 14 82 increase increase NOUN fbem-8403 14 83 of of ADP fbem-8403 14 84 the the DET fbem-8403 14 85 number number NOUN fbem-8403 14 86 of of ADP fbem-8403 14 87 suppliers supplier NOUN fbem-8403 14 88 . . PUNCT fbem-8403 15 1 arnt arnt VERB fbem-8403 16 1 [ [ X fbem-8403 16 2 4 4 X fbem-8403 16 3 ] ] PUNCT fbem-8403 16 4 found find VERB fbem-8403 16 5 that that SCONJ fbem-8403 16 6 increasing increase VERB fbem-8403 16 7 the the DET fbem-8403 16 8 number number NOUN fbem-8403 16 9 of of ADP fbem-8403 16 10 suppliers supplier NOUN fbem-8403 16 11 can can AUX fbem-8403 16 12 reduce reduce VERB fbem-8403 16 13 the the DET fbem-8403 16 14 negative negative ADJ fbem-8403 16 15 impact impact NOUN fbem-8403 16 16 of of ADP fbem-8403 16 17 information information NOUN fbem-8403 16 18 asymmetry asymmetry NOUN fbem-8403 16 19 on on ADP fbem-8403 16 20 enterprises enterprise NOUN fbem-8403 16 21 . . PUNCT fbem-8403 17 1 xie xie PROPN fbem-8403 17 2 xia xia PROPN fbem-8403 18 1 [ [ X fbem-8403 18 2 5 5 NUM fbem-8403 18 3 ] ] PUNCT fbem-8403 18 4 explored explore VERB fbem-8403 18 5 the the DET fbem-8403 18 6 specific specific ADJ fbem-8403 18 7 changes change NOUN fbem-8403 18 8 of of ADP fbem-8403 18 9 ordering order VERB fbem-8403 18 10 strategies strategy NOUN fbem-8403 18 11 under under ADP fbem-8403 18 12 dual dual ADJ fbem-8403 18 13 - - PUNCT fbem-8403 18 14 source source NOUN fbem-8403 18 15 procurement procurement NOUN fbem-8403 18 16 or or CCONJ fbem-8403 18 17 single single ADJ fbem-8403 18 18 - - PUNCT fbem-8403 18 19 source source NOUN fbem-8403 18 20 procurement procurement NOUN fbem-8403 18 21 from from ADP fbem-8403 18 22 the the DET fbem-8403 18 23 perspective perspective NOUN fbem-8403 18 24 of of ADP fbem-8403 18 25 manufacturers manufacturer NOUN fbem-8403 18 26 . . PUNCT fbem-8403 19 1 niu niu PROPN fbem-8403 19 2 baozhuang baozhuang PROPN fbem-8403 20 1 [ [ X fbem-8403 20 2 6 6 NUM fbem-8403 20 3 ] ] PUNCT fbem-8403 20 4 conducted conduct VERB fbem-8403 20 5 a a DET fbem-8403 20 6 separate separate ADJ fbem-8403 20 7 exploration exploration NOUN fbem-8403 20 8 on on ADP fbem-8403 20 9 the the DET fbem-8403 20 10 dual dual ADJ fbem-8403 20 11 - - PUNCT fbem-8403 20 12 source source NOUN fbem-8403 20 13 procurement procurement NOUN fbem-8403 20 14 strategy strategy NOUN fbem-8403 20 15 and and CCONJ fbem-8403 20 16 found find VERB fbem-8403 20 17 that that SCONJ fbem-8403 20 18 the the DET fbem-8403 20 19 dual dual ADJ fbem-8403 20 20 - - PUNCT fbem-8403 20 21 source source NOUN fbem-8403 20 22 procurement procurement NOUN fbem-8403 20 23 strategy strategy NOUN fbem-8403 20 24 can can AUX fbem-8403 20 25 make make VERB fbem-8403 20 26 the the DET fbem-8403 20 27 supply supply NOUN fbem-8403 20 28 more more ADV fbem-8403 20 29 stable stable ADJ fbem-8403 20 30 , , PUNCT fbem-8403 20 31 and and CCONJ fbem-8403 20 32 at at ADP fbem-8403 20 33 the the DET fbem-8403 20 34 same same ADJ fbem-8403 20 35 time time NOUN fbem-8403 20 36 , , PUNCT fbem-8403 20 37 the the DET fbem-8403 20 38 addition addition NOUN fbem-8403 20 39 of of ADP fbem-8403 20 40 local local ADJ fbem-8403 20 41 backup backup ADJ fbem-8403 20 42 suppliers supplier NOUN fbem-8403 20 43 can can AUX fbem-8403 20 44 resist resist VERB fbem-8403 20 45 cross cross ADJ fbem-8403 20 46 - - ADJ fbem-8403 20 47 border border ADJ fbem-8403 20 48 to to ADP fbem-8403 20 49 a a DET fbem-8403 20 50 certain certain ADJ fbem-8403 20 51 extent extent NOUN fbem-8403 20 52 risk risk NOUN fbem-8403 20 53 of of ADP fbem-8403 20 54 disruption disruption NOUN fbem-8403 20 55 and and CCONJ fbem-8403 20 56 enhance enhance VERB fbem-8403 20 57 supply supply NOUN fbem-8403 20 58 chain chain NOUN fbem-8403 20 59 robustness robustness NOUN fbem-8403 20 60 . . PUNCT fbem-8403 21 1 if if SCONJ fbem-8403 21 2 you you PRON fbem-8403 21 3 have have VERB fbem-8403 21 4 multiple multiple ADJ fbem-8403 21 5 suppliers supplier NOUN fbem-8403 21 6 , , PUNCT fbem-8403 21 7 proper proper ADJ fbem-8403 21 8 order order NOUN fbem-8403 21 9 allocation allocation NOUN fbem-8403 21 10 is be AUX fbem-8403 21 11 critical critical ADJ fbem-8403 21 12 . . PUNCT fbem-8403 22 1 under under ADP fbem-8403 22 2 the the DET fbem-8403 22 3 condition condition NOUN fbem-8403 22 4 of of ADP fbem-8403 22 5 information information NOUN fbem-8403 22 6 asymmetry asymmetry NOUN fbem-8403 22 7 , , PUNCT fbem-8403 22 8 pan pan PROPN fbem-8403 22 9 wei wei PROPN fbem-8403 22 10 [ [ X fbem-8403 22 11 7 7 NUM fbem-8403 22 12 ] ] PUNCT fbem-8403 22 13 constructed construct VERB fbem-8403 22 14 and and CCONJ fbem-8403 22 15 analyzed analyze VERB fbem-8403 22 16 a a DET fbem-8403 22 17 multi multi ADJ fbem-8403 22 18 - - ADJ fbem-8403 22 19 product product ADJ fbem-8403 22 20 linear linear ADJ fbem-8403 22 21 order order NOUN fbem-8403 22 22 allocation allocation NOUN fbem-8403 22 23 model model NOUN fbem-8403 22 24 with with ADP fbem-8403 22 25 fuzzy fuzzy ADJ fbem-8403 22 26 targets target NOUN fbem-8403 22 27 , , PUNCT fbem-8403 22 28 random random ADJ fbem-8403 22 29 constraints constraint NOUN fbem-8403 22 30 and and CCONJ fbem-8403 22 31 scenario scenario NOUN fbem-8403 22 32 analysis analysis NOUN fbem-8403 22 33 , , PUNCT fbem-8403 22 34 and and CCONJ fbem-8403 22 35 formulated formulate VERB fbem-8403 22 36 an an DET fbem-8403 22 37 optimal optimal ADJ fbem-8403 22 38 demand demand NOUN fbem-8403 22 39 allocation allocation NOUN fbem-8403 22 40 strategy strategy NOUN fbem-8403 22 41 . . PUNCT fbem-8403 23 1 nengmin nengmin VERB fbem-8403 24 1 [ [ X fbem-8403 24 2 8 8 NUM fbem-8403 24 3 ] ] PUNCT fbem-8403 24 4 establishes establish VERB fbem-8403 24 5 a a DET fbem-8403 24 6 dynamic dynamic ADJ fbem-8403 24 7 game game NOUN fbem-8403 24 8 theory theory NOUN fbem-8403 24 9 model model NOUN fbem-8403 24 10 to to PART fbem-8403 24 11 obtain obtain VERB fbem-8403 24 12 the the DET fbem-8403 24 13 optimal optimal ADJ fbem-8403 24 14 order order NOUN fbem-8403 24 15 quantity quantity NOUN fbem-8403 24 16 and and CCONJ fbem-8403 24 17 supplier supplier NOUN fbem-8403 24 18 arrangement arrangement NOUN fbem-8403 24 19 decision decision NOUN fbem-8403 24 20 of of ADP fbem-8403 24 21 the the DET fbem-8403 24 22 enterprise enterprise NOUN fbem-8403 24 23 . . PUNCT fbem-8403 25 1 furthermore furthermore ADV fbem-8403 25 2 , , PUNCT fbem-8403 25 3 dong dong PROPN fbem-8403 25 4 yinhong yinhong NOUN fbem-8403 25 5 [ [ X fbem-8403 25 6 9 9 NUM fbem-8403 25 7 ] ] PUNCT fbem-8403 25 8 incorporated incorporated ADJ fbem-8403 25 9 supply supply NOUN fbem-8403 25 10 risk risk NOUN fbem-8403 25 11 into into ADP fbem-8403 25 12 the the DET fbem-8403 25 13 model model NOUN fbem-8403 25 14 and and CCONJ fbem-8403 25 15 studied study VERB fbem-8403 25 16 the the DET fbem-8403 25 17 impact impact NOUN fbem-8403 25 18 of of ADP fbem-8403 25 19 supply supply NOUN fbem-8403 25 20 risk risk NOUN fbem-8403 25 21 on on ADP fbem-8403 25 22 order order NOUN fbem-8403 25 23 allocation allocation NOUN fbem-8403 25 24 under under ADP fbem-8403 25 25 the the DET fbem-8403 25 26 dualsource dualsource PROPN fbem-8403 25 27 procurement procurement NOUN fbem-8403 25 28 model model NOUN fbem-8403 25 29 . . PUNCT fbem-8403 26 1 some some DET fbem-8403 26 2 scholars scholar NOUN fbem-8403 26 3 have have AUX fbem-8403 26 4 introduced introduce VERB fbem-8403 26 5 contract contract NOUN fbem-8403 26 6 theory theory NOUN fbem-8403 26 7 into into ADP fbem-8403 26 8 supply supply NOUN fbem-8403 26 9 chain chain NOUN fbem-8403 26 10 risk risk NOUN fbem-8403 26 11 management management NOUN fbem-8403 26 12 to to PART fbem-8403 26 13 increase increase VERB fbem-8403 26 14 supply supply NOUN fbem-8403 26 15 chain chain NOUN fbem-8403 26 16 flexibility flexibility NOUN fbem-8403 26 17 and and CCONJ fbem-8403 26 18 reduce reduce VERB fbem-8403 26 19 the the DET fbem-8403 26 20 negative negative ADJ fbem-8403 26 21 impact impact NOUN fbem-8403 26 22 of of ADP fbem-8403 26 23 supply supply NOUN fbem-8403 26 24 interruption interruption NOUN fbem-8403 26 25 risk risk NOUN fbem-8403 26 26 . . PUNCT fbem-8403 27 1 the the DET fbem-8403 27 2 current current ADJ fbem-8403 27 3 literature literature NOUN fbem-8403 27 4 on on ADP fbem-8403 27 5 contract contract NOUN fbem-8403 27 6 theory theory NOUN fbem-8403 27 7 mainly mainly ADV fbem-8403 27 8 includes include VERB fbem-8403 27 9 wholesale wholesale ADJ fbem-8403 27 10 price price NOUN fbem-8403 27 11 contracts contract NOUN fbem-8403 27 12 [ [ X fbem-8403 27 13 10 10 NUM fbem-8403 27 14 ] ] PUNCT fbem-8403 27 15 , , PUNCT fbem-8403 27 16 revenue revenue NOUN fbem-8403 27 17 sharing sharing NOUN fbem-8403 27 18 contracts contract NOUN fbem-8403 28 1 [ [ X fbem-8403 28 2 11 11 NUM fbem-8403 28 3 ] ] PUNCT fbem-8403 28 4 , , PUNCT fbem-8403 28 5 and and CCONJ fbem-8403 28 6 repurchase repurchase VERB fbem-8403 28 7 contracts contract NOUN fbem-8403 28 8 [ [ X fbem-8403 28 9 12 12 NUM fbem-8403 28 10 ] ] PUNCT fbem-8403 28 11 , , PUNCT fbem-8403 28 12 option option NOUN fbem-8403 28 13 contracts contract NOUN fbem-8403 28 14 [ [ PUNCT fbem-8403 28 15 13 13 NUM fbem-8403 28 16 - - SYM fbem-8403 28 17 17 17 NUM fbem-8403 28 18 ] ] PUNCT fbem-8403 28 19 . . PUNCT fbem-8403 29 1 the the DET fbem-8403 29 2 main main ADJ fbem-8403 29 3 purpose purpose NOUN fbem-8403 29 4 of of ADP fbem-8403 29 5 the the DET fbem-8403 29 6 contract contract NOUN fbem-8403 29 7 is be AUX fbem-8403 29 8 to to PART fbem-8403 29 9 urge urge VERB fbem-8403 29 10 participants participant NOUN fbem-8403 29 11 to to PART fbem-8403 29 12 maximize maximize VERB fbem-8403 29 13 profits profit NOUN fbem-8403 29 14 by by ADP fbem-8403 29 15 sharing share VERB fbem-8403 29 16 the the DET fbem-8403 29 17 required require VERB fbem-8403 29 18 resources resource NOUN fbem-8403 29 19 , , PUNCT fbem-8403 29 20 enhance enhance VERB fbem-8403 29 21 communication communication NOUN fbem-8403 29 22 and and CCONJ fbem-8403 29 23 collaboration collaboration NOUN fbem-8403 29 24 between between ADP fbem-8403 29 25 enterprises enterprise NOUN fbem-8403 29 26 , , PUNCT fbem-8403 29 27 and and CCONJ fbem-8403 29 28 jointly jointly ADV fbem-8403 29 29 resist resist VERB fbem-8403 29 30 the the DET fbem-8403 29 31 risk risk NOUN fbem-8403 29 32 of of ADP fbem-8403 29 33 supply supply NOUN fbem-8403 29 34 disruption disruption NOUN fbem-8403 29 35 and and CCONJ fbem-8403 29 36 reduce reduce VERB fbem-8403 29 37 losses loss NOUN fbem-8403 29 38 . . PUNCT fbem-8403 30 1 among among ADP fbem-8403 30 2 them they PRON fbem-8403 30 3 , , PUNCT fbem-8403 30 4 options option NOUN fbem-8403 30 5 , , PUNCT fbem-8403 30 6 as as ADP fbem-8403 30 7 a a DET fbem-8403 30 8 risk risk NOUN fbem-8403 30 9 avoidance avoidance NOUN fbem-8403 30 10 tool tool NOUN fbem-8403 30 11 derived derive VERB fbem-8403 30 12 from from ADP fbem-8403 30 13 futures future NOUN fbem-8403 30 14 , , PUNCT fbem-8403 30 15 are be AUX fbem-8403 30 16 a a DET fbem-8403 30 17 financial financial ADJ fbem-8403 30 18 means mean NOUN fbem-8403 30 19 , , PUNCT fbem-8403 30 20 which which PRON fbem-8403 30 21 have have VERB fbem-8403 30 22 the the DET fbem-8403 30 23 characteristics characteristic NOUN fbem-8403 30 24 of of ADP fbem-8403 30 25 quantitative quantitative ADJ fbem-8403 30 26 flexible flexible ADJ fbem-8403 30 27 contracts contract NOUN fbem-8403 30 28 and and CCONJ fbem-8403 30 29 the the DET fbem-8403 30 30 essence essence NOUN fbem-8403 30 31 of of ADP fbem-8403 30 32 return return NOUN fbem-8403 30 33 strategies strategy NOUN fbem-8403 30 34 . . PUNCT fbem-8403 31 1 among among ADP fbem-8403 31 2 them they PRON fbem-8403 31 3 , , PUNCT fbem-8403 31 4 merzifonluoglu merzifonluoglu PROPN fbem-8403 32 1 [ [ X fbem-8403 32 2 13 13 NUM fbem-8403 32 3 ] ] PUNCT fbem-8403 32 4 determines determine VERB fbem-8403 32 5 customer customer NOUN fbem-8403 32 6 demand demand NOUN fbem-8403 32 7 , , PUNCT fbem-8403 32 8 selection selection NOUN fbem-8403 32 9 , , PUNCT fbem-8403 32 10 and and CCONJ fbem-8403 32 11 commodity commodity NOUN fbem-8403 32 12 purchase purchase NOUN fbem-8403 32 13 quantity quantity NOUN fbem-8403 32 14 with with ADP fbem-8403 32 15 the the DET fbem-8403 32 16 goal goal NOUN fbem-8403 32 17 of of ADP fbem-8403 32 18 optimizing optimize VERB fbem-8403 32 19 option option NOUN fbem-8403 32 20 contracts contract NOUN fbem-8403 32 21 in in ADP fbem-8403 32 22 the the DET fbem-8403 32 23 presence presence NOUN fbem-8403 32 24 of of ADP fbem-8403 32 25 the the DET fbem-8403 32 26 spot spot NOUN fbem-8403 32 27 market market NOUN fbem-8403 32 28 . . PUNCT fbem-8403 33 1 options option NOUN fbem-8403 33 2 are be AUX fbem-8403 33 3 further far ADV fbem-8403 33 4 divided divide VERB fbem-8403 33 5 into into ADP fbem-8403 33 6 one one NUM fbem-8403 33 7 - - PUNCT fbem-8403 33 8 way way NOUN fbem-8403 33 9 options option NOUN fbem-8403 33 10 and and CCONJ fbem-8403 33 11 two two NUM fbem-8403 33 12 - - PUNCT fbem-8403 33 13 way way NOUN fbem-8403 33 14 options option NOUN fbem-8403 33 15 , , PUNCT fbem-8403 33 16 and and CCONJ fbem-8403 33 17 one one NUM fbem-8403 33 18 - - PUNCT fbem-8403 33 19 way way NOUN fbem-8403 33 20 options option NOUN fbem-8403 33 21 include include VERB fbem-8403 33 22 put put VERB fbem-8403 33 23 options option NOUN fbem-8403 33 24 and and CCONJ fbem-8403 33 25 call call NOUN fbem-8403 33 26 options option NOUN fbem-8403 33 27 . . PUNCT fbem-8403 34 1 wang wang PROPN fbem-8403 35 1 [ [ X fbem-8403 35 2 14 14 NUM fbem-8403 35 3 ] ] PUNCT fbem-8403 35 4 introduced introduce VERB fbem-8403 35 5 put put NOUN fbem-8403 35 6 options option NOUN fbem-8403 35 7 into into ADP fbem-8403 35 8 the the DET fbem-8403 35 9 ordering ordering NOUN fbem-8403 35 10 strategy strategy NOUN fbem-8403 35 11 of of ADP fbem-8403 35 12 fresh fresh ADJ fbem-8403 35 13 products product NOUN fbem-8403 35 14 to to PART fbem-8403 35 15 explore explore VERB fbem-8403 35 16 the the DET fbem-8403 35 17 impact impact NOUN fbem-8403 35 18 of of ADP fbem-8403 35 19 option option NOUN fbem-8403 35 20 contracts contract NOUN fbem-8403 35 21 on on ADP fbem-8403 35 22 the the DET fbem-8403 35 23 optimal optimal ADJ fbem-8403 35 24 ordering ordering NOUN fbem-8403 35 25 strategy strategy NOUN fbem-8403 35 26 , , PUNCT fbem-8403 35 27 while while SCONJ fbem-8403 35 28 hu hu PROPN fbem-8403 36 1 [ [ X fbem-8403 36 2 15 15 NUM fbem-8403 36 3 ] ] PUNCT fbem-8403 36 4 introduced introduce VERB fbem-8403 36 5 put put NOUN fbem-8403 36 6 options option NOUN fbem-8403 36 7 and and CCONJ fbem-8403 36 8 call call VERB fbem-8403 36 9 options option NOUN fbem-8403 36 10 into into ADP fbem-8403 36 11 the the DET fbem-8403 36 12 research research NOUN fbem-8403 36 13 of of ADP fbem-8403 36 14 rescue rescue NOUN fbem-8403 36 15 material material NOUN fbem-8403 36 16 108 108 NUM fbem-8403 36 17 ordering ordering NOUN fbem-8403 36 18 strategies strategy NOUN fbem-8403 36 19 , , PUNCT fbem-8403 36 20 respectively respectively ADV fbem-8403 36 21 , , PUNCT fbem-8403 36 22 to to PART fbem-8403 36 23 seek seek VERB fbem-8403 36 24 the the DET fbem-8403 36 25 optimal optimal ADJ fbem-8403 36 26 purchase purchase NOUN fbem-8403 36 27 quantity quantity NOUN fbem-8403 36 28 under under ADP fbem-8403 36 29 the the DET fbem-8403 36 30 option option NOUN fbem-8403 36 31 contract contract NOUN fbem-8403 36 32 to to PART fbem-8403 36 33 achieve achieve VERB fbem-8403 36 34 the the DET fbem-8403 36 35 best good ADJ fbem-8403 36 36 rescue rescue NOUN fbem-8403 36 37 effect effect NOUN fbem-8403 36 38 . . PUNCT fbem-8403 37 1 patra patra PROPN fbem-8403 38 1 [ [ X fbem-8403 38 2 16 16 NUM fbem-8403 38 3 ] ] PUNCT fbem-8403 38 4 introduced introduce VERB fbem-8403 38 5 two two NUM fbem-8403 38 6 - - PUNCT fbem-8403 38 7 way way NOUN fbem-8403 38 8 option option NOUN fbem-8403 38 9 contracts contract NOUN fbem-8403 38 10 into into ADP fbem-8403 38 11 the the DET fbem-8403 38 12 procurement procurement NOUN fbem-8403 38 13 strategy strategy NOUN fbem-8403 38 14 model model NOUN fbem-8403 38 15 , , PUNCT fbem-8403 38 16 and and CCONJ fbem-8403 38 17 flexibly flexibly ADV fbem-8403 38 18 adjusted adjust VERB fbem-8403 38 19 the the DET fbem-8403 38 20 purchase purchase NOUN fbem-8403 38 21 volume volume NOUN fbem-8403 38 22 to to PART fbem-8403 38 23 reduce reduce VERB fbem-8403 38 24 the the DET fbem-8403 38 25 risk risk NOUN fbem-8403 38 26 of of ADP fbem-8403 38 27 supply supply NOUN fbem-8403 38 28 interruption interruption NOUN fbem-8403 38 29 and and CCONJ fbem-8403 38 30 the the DET fbem-8403 38 31 risk risk NOUN fbem-8403 38 32 of of ADP fbem-8403 38 33 excess excess ADJ fbem-8403 38 34 inventory inventory NOUN fbem-8403 38 35 . . PUNCT fbem-8403 39 1 in in ADP fbem-8403 39 2 addition addition NOUN fbem-8403 39 3 , , PUNCT fbem-8403 39 4 aghajani aghajani PROPN fbem-8403 39 5 [ [ X fbem-8403 39 6 17 17 NUM fbem-8403 39 7 ] ] PUNCT fbem-8403 39 8 designed design VERB fbem-8403 39 9 a a DET fbem-8403 39 10 new new ADJ fbem-8403 39 11 two two NUM fbem-8403 39 12 - - PUNCT fbem-8403 39 13 phase phase NOUN fbem-8403 39 14 option option NOUN fbem-8403 39 15 contract contract NOUN fbem-8403 39 16 combining combine VERB fbem-8403 39 17 supplier supplier NOUN fbem-8403 39 18 selection selection NOUN fbem-8403 39 19 to to PART fbem-8403 39 20 explore explore VERB fbem-8403 39 21 the the DET fbem-8403 39 22 impact impact NOUN fbem-8403 39 23 of of ADP fbem-8403 39 24 increasing increase VERB fbem-8403 39 25 the the DET fbem-8403 39 26 option option NOUN fbem-8403 39 27 duration duration NOUN fbem-8403 39 28 on on ADP fbem-8403 39 29 retailers retailer NOUN fbem-8403 39 30 ' ' PART fbem-8403 39 31 purchasing purchasing NOUN fbem-8403 39 32 strategies strategy NOUN fbem-8403 39 33 . . PUNCT fbem-8403 40 1 from from ADP fbem-8403 40 2 the the DET fbem-8403 40 3 existing exist VERB fbem-8403 40 4 literature literature NOUN fbem-8403 40 5 , , PUNCT fbem-8403 40 6 the the DET fbem-8403 40 7 research research NOUN fbem-8403 40 8 of of ADP fbem-8403 40 9 option option NOUN fbem-8403 40 10 contracts contract NOUN fbem-8403 40 11 in in ADP fbem-8403 40 12 the the DET fbem-8403 40 13 supply supply NOUN fbem-8403 40 14 chain chain NOUN fbem-8403 40 15 is be AUX fbem-8403 40 16 mostly mostly ADV fbem-8403 40 17 the the DET fbem-8403 40 18 impact impact NOUN fbem-8403 40 19 of of ADP fbem-8403 40 20 option option NOUN fbem-8403 40 21 contracts contract NOUN fbem-8403 40 22 on on ADP fbem-8403 40 23 the the DET fbem-8403 40 24 optimal optimal ADJ fbem-8403 40 25 order order NOUN fbem-8403 40 26 quantity quantity NOUN fbem-8403 40 27 and and CCONJ fbem-8403 40 28 pricing pricing NOUN fbem-8403 40 29 under under ADP fbem-8403 40 30 single single ADJ fbem-8403 40 31 - - PUNCT fbem-8403 40 32 source source NOUN fbem-8403 40 33 procurement procurement NOUN fbem-8403 40 34 , , PUNCT fbem-8403 40 35 while while SCONJ fbem-8403 40 36 this this DET fbem-8403 40 37 paper paper NOUN fbem-8403 40 38 studies study VERB fbem-8403 40 39 the the DET fbem-8403 40 40 ordering ordering NOUN fbem-8403 40 41 strategy strategy NOUN fbem-8403 40 42 of of ADP fbem-8403 40 43 retailers retailer NOUN fbem-8403 40 44 in in ADP fbem-8403 40 45 a a DET fbem-8403 40 46 two two NUM fbem-8403 40 47 - - PUNCT fbem-8403 40 48 level level NOUN fbem-8403 40 49 supply supply NOUN fbem-8403 40 50 chain chain NOUN fbem-8403 40 51 composed compose VERB fbem-8403 40 52 of of ADP fbem-8403 40 53 one one NUM fbem-8403 40 54 retailer retailer NOUN fbem-8403 40 55 and and CCONJ fbem-8403 40 56 two two NUM fbem-8403 40 57 suppliers supplier NOUN fbem-8403 40 58 , , PUNCT fbem-8403 40 59 one one NUM fbem-8403 40 60 supplier supplier NOUN fbem-8403 40 61 is be AUX fbem-8403 40 62 a a DET fbem-8403 40 63 risk risk NOUN fbem-8403 40 64 supplier supplier NOUN fbem-8403 40 65 , , PUNCT fbem-8403 40 66 the the DET fbem-8403 40 67 goods good NOUN fbem-8403 40 68 provided provide VERB fbem-8403 40 69 are be AUX fbem-8403 40 70 at at ADP fbem-8403 40 71 risk risk NOUN fbem-8403 40 72 of of ADP fbem-8403 40 73 supply supply NOUN fbem-8403 40 74 interruption interruption NOUN fbem-8403 40 75 , , PUNCT fbem-8403 40 76 and and CCONJ fbem-8403 40 77 the the DET fbem-8403 40 78 other other ADJ fbem-8403 40 79 supplier supplier NOUN fbem-8403 40 80 provides provide VERB fbem-8403 40 81 goods good NOUN fbem-8403 40 82 to to ADP fbem-8403 40 83 retailers retailer NOUN fbem-8403 40 84 in in ADP fbem-8403 40 85 the the DET fbem-8403 40 86 form form NOUN fbem-8403 40 87 of of ADP fbem-8403 40 88 option option NOUN fbem-8403 40 89 contracts contract NOUN fbem-8403 40 90 , , PUNCT fbem-8403 40 91 called call VERB fbem-8403 40 92 option option NOUN fbem-8403 40 93 suppliers supplier NOUN fbem-8403 40 94 . . PUNCT fbem-8403 41 1 this this DET fbem-8403 41 2 paper paper NOUN fbem-8403 41 3 discusses discuss VERB fbem-8403 41 4 the the DET fbem-8403 41 5 objective objective ADJ fbem-8403 41 6 function function NOUN fbem-8403 41 7 of of ADP fbem-8403 41 8 retailers retailer NOUN fbem-8403 41 9 with with ADP fbem-8403 41 10 the the DET fbem-8403 41 11 highest high ADJ fbem-8403 41 12 expected expect VERB fbem-8403 41 13 return return NOUN fbem-8403 41 14 under under ADP fbem-8403 41 15 constant constant ADJ fbem-8403 41 16 demand demand NOUN fbem-8403 41 17 , , PUNCT fbem-8403 41 18 constructs construct VERB fbem-8403 41 19 a a DET fbem-8403 41 20 model model NOUN fbem-8403 41 21 to to PART fbem-8403 41 22 obtain obtain VERB fbem-8403 41 23 the the DET fbem-8403 41 24 optimal optimal ADJ fbem-8403 41 25 order order NOUN fbem-8403 41 26 quantity quantity NOUN fbem-8403 41 27 under under ADP fbem-8403 41 28 the the DET fbem-8403 41 29 implementation implementation NOUN fbem-8403 41 30 of of ADP fbem-8403 41 31 single single ADJ fbem-8403 41 32 - - PUNCT fbem-8403 41 33 source source NOUN fbem-8403 41 34 procurement procurement NOUN fbem-8403 41 35 or or CCONJ fbem-8403 41 36 dual dual ADJ fbem-8403 41 37 - - PUNCT fbem-8403 41 38 source source NOUN fbem-8403 41 39 procurement procurement NOUN fbem-8403 41 40 strategy strategy NOUN fbem-8403 41 41 , , PUNCT fbem-8403 41 42 and and CCONJ fbem-8403 41 43 finally finally ADV fbem-8403 41 44 discusses discuss VERB fbem-8403 41 45 the the DET fbem-8403 41 46 influence influence NOUN fbem-8403 41 47 of of ADP fbem-8403 41 48 relevant relevant ADJ fbem-8403 41 49 parameters parameter NOUN fbem-8403 41 50 on on ADP fbem-8403 41 51 the the DET fbem-8403 41 52 optimal optimal ADJ fbem-8403 41 53 order order NOUN fbem-8403 41 54 quantity quantity NOUN fbem-8403 41 55 and and CCONJ fbem-8403 41 56 expected expect VERB fbem-8403 41 57 profit profit NOUN fbem-8403 41 58 through through ADP fbem-8403 41 59 numerical numerical ADJ fbem-8403 41 60 analysis analysis NOUN fbem-8403 41 61 . . PUNCT fbem-8403 42 1 2 2 X fbem-8403 42 2 . . X fbem-8403 42 3 description description NOUN fbem-8403 42 4 of of ADP fbem-8403 42 5 the the DET fbem-8403 42 6 problem problem NOUN fbem-8403 42 7 and and CCONJ fbem-8403 42 8 assumptions assumption VERB fbem-8403 42 9 2.1 2.1 NUM fbem-8403 42 10 . . PUNCT fbem-8403 43 1 problem problem NOUN fbem-8403 43 2 description description NOUN fbem-8403 43 3 and and CCONJ fbem-8403 43 4 assumptions assumption NOUN fbem-8403 43 5 this this DET fbem-8403 43 6 paper paper NOUN fbem-8403 43 7 considers consider VERB fbem-8403 43 8 a a DET fbem-8403 43 9 two two NUM fbem-8403 43 10 - - PUNCT fbem-8403 43 11 tier tier NOUN fbem-8403 43 12 supply supply NOUN fbem-8403 43 13 chain chain NOUN fbem-8403 43 14 consisting consist VERB fbem-8403 43 15 of of ADP fbem-8403 43 16 two two NUM fbem-8403 43 17 suppliers supplier NOUN fbem-8403 43 18 and and CCONJ fbem-8403 43 19 one one NUM fbem-8403 43 20 retailer retailer NOUN fbem-8403 43 21 , , PUNCT fbem-8403 43 22 as as SCONJ fbem-8403 43 23 shown show VERB fbem-8403 43 24 in in ADP fbem-8403 43 25 figure figure NOUN fbem-8403 43 26 1 1 NUM fbem-8403 43 27 . . PUNCT fbem-8403 44 1 providers provider NOUN fbem-8403 44 2 are be AUX fbem-8403 44 3 divided divide VERB fbem-8403 44 4 into into ADP fbem-8403 44 5 risk risk NOUN fbem-8403 44 6 providers provider NOUN fbem-8403 44 7 and and CCONJ fbem-8403 44 8 options option NOUN fbem-8403 44 9 providers provider NOUN fbem-8403 44 10 . . PUNCT fbem-8403 45 1 when when SCONJ fbem-8403 45 2 a a DET fbem-8403 45 3 retailer retailer NOUN fbem-8403 45 4 orders order VERB fbem-8403 45 5 a a DET fbem-8403 45 6 quantity quantity NOUN fbem-8403 45 7 of of ADP fbem-8403 45 8 goods good NOUN fbem-8403 45 9 from from ADP fbem-8403 45 10 supplier supplier NOUN fbem-8403 45 11 a a DET fbem-8403 45 12 with with ADP fbem-8403 45 13 q q NOUN fbem-8403 45 14 , , PUNCT fbem-8403 45 15 supplier supplier NOUN fbem-8403 45 16 a a PRON fbem-8403 45 17 provides provide VERB fbem-8403 45 18 a a DET fbem-8403 45 19 quantity quantity NOUN fbem-8403 45 20 of of ADP fbem-8403 45 21 goods good NOUN fbem-8403 45 22 of of ADP fbem-8403 45 23 xq xq PROPN fbem-8403 45 24 . . PUNCT fbem-8403 46 1 x x PUNCT fbem-8403 46 2 is be AUX fbem-8403 46 3 the the DET fbem-8403 46 4 interrupt interrupt ADJ fbem-8403 46 5 risk risk NOUN fbem-8403 46 6 coefficient coefficient NOUN fbem-8403 46 7 , , PUNCT fbem-8403 46 8 which which PRON fbem-8403 46 9 is be AUX fbem-8403 46 10 a a DET fbem-8403 46 11 random random ADJ fbem-8403 46 12 variable variable NOUN fbem-8403 46 13 between between ADP fbem-8403 46 14 [ [ X fbem-8403 46 15 0,1 0,1 NUM fbem-8403 46 16 ] ] PUNCT fbem-8403 46 17 with with ADP fbem-8403 46 18 a a DET fbem-8403 46 19 probability probability NOUN fbem-8403 46 20 density density NOUN fbem-8403 46 21 function function NOUN fbem-8403 46 22 f(x f(x PROPN fbem-8403 46 23 ) ) PUNCT fbem-8403 46 24 and and CCONJ fbem-8403 46 25 a a DET fbem-8403 46 26 distribution distribution NOUN fbem-8403 46 27 function function NOUN fbem-8403 46 28 f(x f(x PROPN fbem-8403 46 29 ) ) PUNCT fbem-8403 46 30 . . PUNCT fbem-8403 47 1 b b X fbem-8403 47 2 option option NOUN fbem-8403 47 3 supplier supplier NOUN fbem-8403 47 4 through through ADP fbem-8403 47 5 the the DET fbem-8403 47 6 signing signing NOUN fbem-8403 47 7 of of ADP fbem-8403 47 8 option option NOUN fbem-8403 47 9 contract contract NOUN fbem-8403 47 10 stable stable ADJ fbem-8403 47 11 supply supply NOUN fbem-8403 47 12 , , PUNCT fbem-8403 47 13 option option NOUN fbem-8403 47 14 unit unit NOUN fbem-8403 47 15 price price NOUN fbem-8403 47 16 is be AUX fbem-8403 47 17 𝑐 𝑐 PROPN fbem-8403 47 18 , , PUNCT fbem-8403 47 19 contract contract NOUN fbem-8403 47 20 execution execution NOUN fbem-8403 47 21 unit unit NOUN fbem-8403 47 22 price price NOUN fbem-8403 47 23 is be AUX fbem-8403 47 24 𝑐 𝑐 PROPN fbem-8403 47 25 , , PUNCT fbem-8403 47 26 if if SCONJ fbem-8403 47 27 the the DET fbem-8403 47 28 option option NOUN fbem-8403 47 29 contract contract NOUN fbem-8403 47 30 signing signing NOUN fbem-8403 47 31 quantity quantity NOUN fbem-8403 47 32 is be AUX fbem-8403 47 33 q q ADJ fbem-8403 47 34 , , PUNCT fbem-8403 47 35 the the DET fbem-8403 47 36 maximum maximum ADJ fbem-8403 47 37 number number NOUN fbem-8403 47 38 of of ADP fbem-8403 47 39 goods good NOUN fbem-8403 47 40 supplied supply VERB fbem-8403 47 41 by by ADP fbem-8403 47 42 the the DET fbem-8403 47 43 option option NOUN fbem-8403 47 44 supplier supplier NOUN fbem-8403 47 45 is be AUX fbem-8403 47 46 q. q. NOUN fbem-8403 47 47 this this DET fbem-8403 47 48 paper paper NOUN fbem-8403 47 49 assumes assume VERB fbem-8403 47 50 that that SCONJ fbem-8403 47 51 suppliers supplier NOUN fbem-8403 47 52 and and CCONJ fbem-8403 47 53 retailers retailer NOUN fbem-8403 47 54 in in ADP fbem-8403 47 55 the the DET fbem-8403 47 56 twotier twoti ADJ fbem-8403 47 57 supply supply NOUN fbem-8403 47 58 chain chain NOUN fbem-8403 47 59 are be AUX fbem-8403 47 60 information information NOUN fbem-8403 47 61 - - PUNCT fbem-8403 47 62 symmetrical symmetrical ADJ fbem-8403 47 63 , , PUNCT fbem-8403 47 64 and and CCONJ fbem-8403 47 65 that that PRON fbem-8403 47 66 decision decision NOUN fbem-8403 47 67 - - PUNCT fbem-8403 47 68 makers maker NOUN fbem-8403 47 69 are be AUX fbem-8403 47 70 risk risk NOUN fbem-8403 47 71 - - PUNCT fbem-8403 47 72 neutral neutral ADJ fbem-8403 47 73 and and CCONJ fbem-8403 47 74 in in ADP fbem-8403 47 75 a a DET fbem-8403 47 76 perfectly perfectly ADV fbem-8403 47 77 competitive competitive ADJ fbem-8403 47 78 market market NOUN fbem-8403 47 79 . . PUNCT fbem-8403 48 1 two two NUM fbem-8403 48 2 suppliers supplier NOUN fbem-8403 48 3 offer offer VERB fbem-8403 48 4 a a DET fbem-8403 48 5 single single ADJ fbem-8403 48 6 homogeneous homogeneous ADJ fbem-8403 48 7 commodity commodity NOUN fbem-8403 48 8 , , PUNCT fbem-8403 48 9 allowing allow VERB fbem-8403 48 10 for for ADP fbem-8403 48 11 shortages shortage NOUN fbem-8403 48 12 and and CCONJ fbem-8403 48 13 backlogs backlog NOUN fbem-8403 48 14 of of ADP fbem-8403 48 15 goods good NOUN fbem-8403 48 16 ; ; PUNCT fbem-8403 48 17 retailers retailer NOUN fbem-8403 48 18 are be AUX fbem-8403 48 19 completely completely ADV fbem-8403 48 20 rational rational ADJ fbem-8403 48 21 and and CCONJ fbem-8403 48 22 only only ADV fbem-8403 48 23 consider consider VERB fbem-8403 48 24 the the DET fbem-8403 48 25 maximization maximization NOUN fbem-8403 48 26 of of ADP fbem-8403 48 27 their their PRON fbem-8403 48 28 own own ADJ fbem-8403 48 29 interests interest NOUN fbem-8403 48 30 ; ; PUNCT fbem-8403 48 31 when when SCONJ fbem-8403 48 32 the the DET fbem-8403 48 33 market market NOUN fbem-8403 48 34 environment environment NOUN fbem-8403 48 35 is be AUX fbem-8403 48 36 stable stable ADJ fbem-8403 48 37 , , PUNCT fbem-8403 48 38 the the DET fbem-8403 48 39 market market NOUN fbem-8403 48 40 demand demand NOUN fbem-8403 48 41 is be AUX fbem-8403 48 42 constant constant ADJ fbem-8403 48 43 d. d. NOUN fbem-8403 48 44 figure figure NOUN fbem-8403 48 45 1 1 NUM fbem-8403 48 46 . . X fbem-8403 48 47 two two NUM fbem-8403 48 48 - - PUNCT fbem-8403 48 49 tier tier NOUN fbem-8403 48 50 supply supply NOUN fbem-8403 48 51 chain chain NOUN fbem-8403 48 52 model model NOUN fbem-8403 48 53 2.2 2.2 NUM fbem-8403 48 54 . . PUNCT fbem-8403 49 1 definition definition NOUN fbem-8403 49 2 of of ADP fbem-8403 49 3 parameters parameter NOUN fbem-8403 49 4 and and CCONJ fbem-8403 49 5 decision decision NOUN fbem-8403 49 6 variables variable NOUN fbem-8403 49 7 table table NOUN fbem-8403 49 8 1 1 NUM fbem-8403 49 9 describes describe VERB fbem-8403 49 10 the the DET fbem-8403 49 11 variables variable NOUN fbem-8403 49 12 used use VERB fbem-8403 49 13 in in ADP fbem-8403 49 14 this this DET fbem-8403 49 15 article article NOUN fbem-8403 49 16 and and CCONJ fbem-8403 49 17 their their PRON fbem-8403 49 18 descriptions description NOUN fbem-8403 49 19 table table NOUN fbem-8403 49 20 1 1 NUM fbem-8403 49 21 . . PUNCT fbem-8403 49 22 related relate VERB fbem-8403 49 23 variables variable NOUN fbem-8403 49 24 and and CCONJ fbem-8403 49 25 descriptions description NOUN fbem-8403 49 26 symbol symbol NOUN fbem-8403 49 27 illustrate illustrate VERB fbem-8403 49 28 decision decision NOUN fbem-8403 49 29 variables variable VERB fbem-8403 49 30 𝑄 𝑄 PRON fbem-8403 49 31 order order VERB fbem-8403 49 32 quantity quantity NOUN fbem-8403 49 33 from from ADP fbem-8403 49 34 risk risk NOUN fbem-8403 49 35 supplier supplier NOUN fbem-8403 49 36 a a DET fbem-8403 49 37 π‘ž π‘ž X fbem-8403 49 38 purchase purchase VERB fbem-8403 49 39 the the DET fbem-8403 49 40 amount amount NOUN fbem-8403 49 41 of of ADP fbem-8403 49 42 the the DET fbem-8403 49 43 option option NOUN fbem-8403 49 44 from from ADP fbem-8403 49 45 option option NOUN fbem-8403 49 46 provider provider NOUN fbem-8403 49 47 b b PROPN fbem-8403 49 48 objective objective ADJ fbem-8403 49 49 function function NOUN fbem-8403 49 50 Ο€ Ο€ PROPN fbem-8403 49 51 the the DET fbem-8403 49 52 retailer retailer NOUN fbem-8403 49 53 only only ADV fbem-8403 49 54 purchases purchase VERB fbem-8403 49 55 profit profit NOUN fbem-8403 49 56 from from ADP fbem-8403 49 57 risk risk NOUN fbem-8403 49 58 supplier supplier NOUN fbem-8403 49 59 a a DET fbem-8403 49 60 Ο€ Ο€ NOUN fbem-8403 49 61 the the DET fbem-8403 49 62 retailer retailer NOUN fbem-8403 49 63 makes make VERB fbem-8403 49 64 a a DET fbem-8403 49 65 profit profit NOUN fbem-8403 49 66 when when SCONJ fbem-8403 49 67 entering enter VERB fbem-8403 49 68 into into ADP fbem-8403 49 69 an an DET fbem-8403 49 70 option option NOUN fbem-8403 49 71 contract contract NOUN fbem-8403 49 72 parameter parameter NOUN fbem-8403 49 73 c c PROPN fbem-8403 50 1 the the DET fbem-8403 50 2 unit unit NOUN fbem-8403 50 3 price price NOUN fbem-8403 50 4 of of ADP fbem-8403 50 5 purchase purchase NOUN fbem-8403 50 6 from from ADP fbem-8403 50 7 risk risk NOUN fbem-8403 50 8 vendor vendor NOUN fbem-8403 50 9 a a DET fbem-8403 50 10 c c NOUN fbem-8403 50 11 the the DET fbem-8403 50 12 unit unit NOUN fbem-8403 50 13 purchase purchase NOUN fbem-8403 50 14 price price NOUN fbem-8403 50 15 of of ADP fbem-8403 50 16 the the DET fbem-8403 50 17 option option NOUN fbem-8403 50 18 c c AUX fbem-8403 50 19 the the DET fbem-8403 50 20 unit unit NOUN fbem-8403 50 21 strike strike NOUN fbem-8403 50 22 price price NOUN fbem-8403 50 23 of of ADP fbem-8403 50 24 the the DET fbem-8403 50 25 option option NOUN fbem-8403 50 26 𝑏 𝑏 DET fbem-8403 50 27 unit unit NOUN fbem-8403 50 28 out out ADP fbem-8403 50 29 - - PUNCT fbem-8403 50 30 of of ADP fbem-8403 50 31 - - PUNCT fbem-8403 50 32 stock stock NOUN fbem-8403 50 33 cost cost NOUN fbem-8403 50 34 β„Ž β„Ž ADP fbem-8403 50 35 salvage salvage NOUN fbem-8403 50 36 value value NOUN fbem-8403 50 37 per per ADP fbem-8403 50 38 unit unit NOUN fbem-8403 50 39 of of ADP fbem-8403 50 40 goods good NOUN fbem-8403 50 41 𝑃 𝑃 VERB fbem-8403 50 42 the the DET fbem-8403 50 43 unit unit NOUN fbem-8403 50 44 item item NOUN fbem-8403 50 45 sales sale NOUN fbem-8403 50 46 price price NOUN fbem-8403 50 47 𝐷 𝐷 NOUN fbem-8403 50 48 market market NOUN fbem-8403 50 49 demand demand NOUN fbem-8403 50 50 under under ADP fbem-8403 50 51 market market NOUN fbem-8403 50 52 stability stability NOUN fbem-8403 50 53 109 109 NUM fbem-8403 50 54 in in ADP fbem-8403 50 55 this this DET fbem-8403 50 56 model model NOUN fbem-8403 50 57 , , PUNCT fbem-8403 50 58 the the DET fbem-8403 50 59 main main ADJ fbem-8403 50 60 difference difference NOUN fbem-8403 50 61 between between ADP fbem-8403 50 62 a a DET fbem-8403 50 63 risk risk NOUN fbem-8403 50 64 provider provider NOUN fbem-8403 50 65 and and CCONJ fbem-8403 50 66 an an DET fbem-8403 50 67 options option NOUN fbem-8403 50 68 provider provider NOUN fbem-8403 50 69 is be AUX fbem-8403 50 70 the the DET fbem-8403 50 71 price price NOUN fbem-8403 50 72 at at ADP fbem-8403 50 73 which which PRON fbem-8403 50 74 the the DET fbem-8403 50 75 commodity commodity NOUN fbem-8403 50 76 is be AUX fbem-8403 50 77 offered offer VERB fbem-8403 50 78 . . PUNCT fbem-8403 51 1 options option NOUN fbem-8403 51 2 contracts contract NOUN fbem-8403 51 3 have have VERB fbem-8403 51 4 a a DET fbem-8403 51 5 purchase purchase NOUN fbem-8403 51 6 price price NOUN fbem-8403 51 7 and and CCONJ fbem-8403 51 8 an an DET fbem-8403 51 9 execution execution NOUN fbem-8403 51 10 price price NOUN fbem-8403 51 11 . . PUNCT fbem-8403 52 1 in in ADP fbem-8403 52 2 order order NOUN fbem-8403 52 3 to to ADP fbem-8403 52 4 the the DET fbem-8403 52 5 option option NOUN fbem-8403 52 6 contract contract NOUN fbem-8403 52 7 to to PART fbem-8403 52 8 be be AUX fbem-8403 52 9 meaningful meaningful ADJ fbem-8403 52 10 , , PUNCT fbem-8403 52 11 the the DET fbem-8403 52 12 option option NOUN fbem-8403 52 13 strike strike NOUN fbem-8403 52 14 price price NOUN fbem-8403 52 15 needs need NOUN fbem-8403 52 16 to to PART fbem-8403 52 17 be be AUX fbem-8403 52 18 lower low ADJ fbem-8403 52 19 than than ADP fbem-8403 52 20 the the DET fbem-8403 52 21 commodity commodity NOUN fbem-8403 52 22 price price NOUN fbem-8403 52 23 offered offer VERB fbem-8403 52 24 by by ADP fbem-8403 52 25 the the DET fbem-8403 52 26 risk risk NOUN fbem-8403 52 27 provider provider NOUN fbem-8403 52 28 . . PUNCT fbem-8403 53 1 risky risky ADJ fbem-8403 53 2 suppliers supplier NOUN fbem-8403 53 3 , , PUNCT fbem-8403 53 4 on on ADP fbem-8403 53 5 the the DET fbem-8403 53 6 other other ADJ fbem-8403 53 7 hand hand NOUN fbem-8403 53 8 , , PUNCT fbem-8403 53 9 are be AUX fbem-8403 53 10 subject subject ADJ fbem-8403 53 11 to to ADP fbem-8403 53 12 the the DET fbem-8403 53 13 risk risk NOUN fbem-8403 53 14 of of ADP fbem-8403 53 15 supply supply NOUN fbem-8403 53 16 disruption disruption NOUN fbem-8403 53 17 and and CCONJ fbem-8403 53 18 will will AUX fbem-8403 53 19 not not PART fbem-8403 53 20 offer offer VERB fbem-8403 53 21 retailers retailer NOUN fbem-8403 53 22 at at ADP fbem-8403 53 23 prices price NOUN fbem-8403 53 24 higher high ADJ fbem-8403 53 25 than than ADP fbem-8403 53 26 the the DET fbem-8403 53 27 market market NOUN fbem-8403 53 28 retail retail ADJ fbem-8403 53 29 price price NOUN fbem-8403 53 30 . . PUNCT fbem-8403 54 1 to to PART fbem-8403 54 2 avoid avoid VERB fbem-8403 54 3 unnecessary unnecessary ADJ fbem-8403 54 4 meaningless meaningless ADJ fbem-8403 54 5 solutions solution NOUN fbem-8403 54 6 , , PUNCT fbem-8403 54 7 set set VERB fbem-8403 54 8 𝑃 𝑃 PROPN fbem-8403 54 9 𝑐 𝑐 PROPN fbem-8403 54 10 𝑐 𝑐 PROPN fbem-8403 54 11 . . PUNCT fbem-8403 55 1 based base VERB fbem-8403 55 2 on on ADP fbem-8403 55 3 the the DET fbem-8403 55 4 above above ADJ fbem-8403 55 5 variables variable NOUN fbem-8403 55 6 and and CCONJ fbem-8403 55 7 parameters parameter NOUN fbem-8403 55 8 , , PUNCT fbem-8403 55 9 retailers retailer NOUN fbem-8403 55 10 can can AUX fbem-8403 55 11 build build VERB fbem-8403 55 12 relevant relevant ADJ fbem-8403 55 13 models model NOUN fbem-8403 55 14 to to PART fbem-8403 55 15 analyze analyze VERB fbem-8403 55 16 how how SCONJ fbem-8403 55 17 retailers retailer NOUN fbem-8403 55 18 choose choose VERB fbem-8403 55 19 between between ADP fbem-8403 55 20 two two NUM fbem-8403 55 21 suppliers supplier NOUN fbem-8403 55 22 when when SCONJ fbem-8403 55 23 faced face VERB fbem-8403 55 24 with with ADP fbem-8403 55 25 changes change NOUN fbem-8403 55 26 in in ADP fbem-8403 55 27 various various ADJ fbem-8403 55 28 parameters parameter NOUN fbem-8403 55 29 . . PUNCT fbem-8403 56 1 3 3 X fbem-8403 56 2 . . X fbem-8403 56 3 model model NOUN fbem-8403 56 4 construction construction NOUN fbem-8403 56 5 and and CCONJ fbem-8403 56 6 analysis analysis NOUN fbem-8403 56 7 3.1 3.1 NUM fbem-8403 56 8 . . PUNCT fbem-8403 57 1 single single ADJ fbem-8403 57 2 - - PUNCT fbem-8403 57 3 source source NOUN fbem-8403 57 4 ordering ordering NOUN fbem-8403 57 5 if if SCONJ fbem-8403 57 6 a a DET fbem-8403 57 7 retailer retailer NOUN fbem-8403 57 8 uses use VERB fbem-8403 57 9 a a DET fbem-8403 57 10 single single ADJ fbem-8403 57 11 - - PUNCT fbem-8403 57 12 source source NOUN fbem-8403 57 13 ordering ordering NOUN fbem-8403 57 14 strategy strategy NOUN fbem-8403 57 15 and and CCONJ fbem-8403 57 16 orders order NOUN fbem-8403 57 17 q q PROPN fbem-8403 57 18 unit unit NOUN fbem-8403 57 19 goods good NOUN fbem-8403 57 20 at at ADP fbem-8403 57 21 a a DET fbem-8403 57 22 price price NOUN fbem-8403 57 23 from from ADP fbem-8403 57 24 risk risk NOUN fbem-8403 57 25 supplier supplier NOUN fbem-8403 57 26 𝑐 𝑐 PROPN fbem-8403 57 27 a a NOUN fbem-8403 57 28 , , PUNCT fbem-8403 57 29 the the DET fbem-8403 57 30 retailer retailer NOUN fbem-8403 57 31 's 's PART fbem-8403 57 32 profit profit NOUN fbem-8403 57 33 function function NOUN fbem-8403 57 34 is be AUX fbem-8403 57 35 : : PUNCT fbem-8403 57 36 πœ‹ πœ‹ PROPN fbem-8403 57 37 π‘ƒπ‘šπ‘–π‘› π‘ƒπ‘šπ‘–π‘› PROPN fbem-8403 57 38 𝐷 𝐷 PROPN fbem-8403 57 39 , , PUNCT fbem-8403 57 40 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 57 41 𝑐 𝑐 NOUN fbem-8403 57 42 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 57 43 π‘π‘šπ‘Žπ‘₯ π‘π‘šπ‘Žπ‘₯ VERB fbem-8403 57 44 𝐷 𝐷 NOUN fbem-8403 57 45 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 57 46 , , PUNCT fbem-8403 57 47 0 0 NUM fbem-8403 57 48 β„Žπ‘šπ‘Žπ‘₯ β„Žπ‘šπ‘Žπ‘₯ NOUN fbem-8403 57 49 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 57 50 𝐷 𝐷 PROPN fbem-8403 57 51 , , PUNCT fbem-8403 57 52 0 0 NUM fbem-8403 58 1 ( ( PUNCT fbem-8403 58 2 1 1 X fbem-8403 58 3 ) ) PUNCT fbem-8403 58 4 the the DET fbem-8403 58 5 first first ADJ fbem-8403 58 6 item item NOUN fbem-8403 58 7 on on ADP fbem-8403 58 8 the the DET fbem-8403 58 9 right right ADJ fbem-8403 58 10 side side NOUN fbem-8403 58 11 of of ADP fbem-8403 58 12 the the DET fbem-8403 58 13 medium medium NOUN fbem-8403 58 14 is be AUX fbem-8403 58 15 sales sale NOUN fbem-8403 58 16 revenue revenue NOUN fbem-8403 58 17 , , PUNCT fbem-8403 58 18 the the DET fbem-8403 58 19 second second ADJ fbem-8403 58 20 item item NOUN fbem-8403 58 21 is be AUX fbem-8403 58 22 the the DET fbem-8403 58 23 purchase purchase NOUN fbem-8403 58 24 cost cost NOUN fbem-8403 58 25 , , PUNCT fbem-8403 58 26 the the DET fbem-8403 58 27 third third ADJ fbem-8403 58 28 item item NOUN fbem-8403 58 29 is be AUX fbem-8403 58 30 the the DET fbem-8403 58 31 out out ADJ fbem-8403 58 32 - - PUNCT fbem-8403 58 33 of of ADP fbem-8403 58 34 - - PUNCT fbem-8403 58 35 stock stock NOUN fbem-8403 58 36 cost cost NOUN fbem-8403 58 37 , , PUNCT fbem-8403 58 38 and and CCONJ fbem-8403 58 39 the the DET fbem-8403 58 40 fourth fourth ADJ fbem-8403 58 41 item item NOUN fbem-8403 58 42 is be AUX fbem-8403 58 43 the the DET fbem-8403 58 44 residual residual ADJ fbem-8403 58 45 value value NOUN fbem-8403 58 46 of of ADP fbem-8403 58 47 the the DET fbem-8403 58 48 goods good NOUN fbem-8403 58 49 . . PUNCT fbem-8403 59 1 for for SCONJ fbem-8403 59 2 a a DET fbem-8403 59 3 retailer retailer NOUN fbem-8403 59 4 to to PART fbem-8403 59 5 be be AUX fbem-8403 59 6 profitable profitable ADJ fbem-8403 59 7 , , PUNCT fbem-8403 59 8 the the DET fbem-8403 59 9 variables variable NOUN fbem-8403 59 10 need need VERB fbem-8403 59 11 to to PART fbem-8403 59 12 be be AUX fbem-8403 59 13 satisfied:𝑃 satisfied:𝑃 VERB fbem-8403 59 14 𝑐 𝑐 VERB fbem-8403 59 15 𝑏 𝑏 NOUN fbem-8403 59 16 β„Ž β„Ž PROPN fbem-8403 59 17 0 0 NUM fbem-8403 59 18 . . PUNCT fbem-8403 60 1 according accord VERB fbem-8403 60 2 to to ADP fbem-8403 60 3 this this PRON fbem-8403 60 4 , , PUNCT fbem-8403 60 5 the the DET fbem-8403 60 6 average average NOUN fbem-8403 60 7 of of ADP fbem-8403 60 8 the the DET fbem-8403 60 9 supply supply NOUN fbem-8403 60 10 disruption disruption NOUN fbem-8403 60 11 risk risk NOUN fbem-8403 60 12 factor factor NOUN fbem-8403 60 13 𝐸 𝐸 PROPN fbem-8403 60 14 min min NOUN fbem-8403 60 15 𝑄 𝑄 PROPN fbem-8403 60 16 , , PUNCT fbem-8403 60 17 π‘₯ π‘₯ PROPN fbem-8403 61 1 1 1 NUM fbem-8403 61 2 𝐹 𝐹 NOUN fbem-8403 61 3 π‘₯ π‘₯ PROPN fbem-8403 61 4 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 61 5 , , PUNCT fbem-8403 61 6 the the DET fbem-8403 61 7 mean mean ADJ fbem-8403 61 8 risk risk NOUN fbem-8403 61 9 in in ADP fbem-8403 61 10 supply supply NOUN fbem-8403 61 11 is be AUX fbem-8403 61 12 πœ‡. πœ‡. ADJ fbem-8403 62 1 so so ADV fbem-8403 62 2 the the DET fbem-8403 62 3 retailer retailer NOUN fbem-8403 62 4 's 's PART fbem-8403 62 5 expected expect VERB fbem-8403 62 6 profit profit NOUN fbem-8403 62 7 can can AUX fbem-8403 62 8 be be AUX fbem-8403 62 9 reduced reduce VERB fbem-8403 62 10 to to ADP fbem-8403 62 11 : : PUNCT fbem-8403 62 12 𝐸 𝐸 PROPN fbem-8403 62 13 πœ‹ πœ‹ NOUN fbem-8403 62 14 𝑃 𝑃 NOUN fbem-8403 62 15 𝑏 𝑏 NOUN fbem-8403 62 16 β„Ž β„Ž PART fbem-8403 63 1 𝑄 𝑄 PROPN fbem-8403 64 1 𝐹 𝐹 PROPN fbem-8403 65 1 π‘₯ π‘₯ NOUN fbem-8403 65 2 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-8403 65 3 𝑃 𝑃 NOUN fbem-8403 65 4 β„Ž β„Ž PROPN fbem-8403 65 5 𝐷 𝐷 NOUN fbem-8403 65 6 β„Ž β„Ž NOUN fbem-8403 65 7 𝑐 𝑐 PROPN fbem-8403 65 8 πœ‡π‘„ πœ‡π‘„ NOUN fbem-8403 65 9 ( ( PUNCT fbem-8403 65 10 2 2 NUM fbem-8403 65 11 ) ) PUNCT fbem-8403 65 12 proposition proposition NOUN fbem-8403 65 13 1 1 NUM fbem-8403 65 14 : : PUNCT fbem-8403 65 15 under under ADP fbem-8403 65 16 the the DET fbem-8403 65 17 single single ADJ fbem-8403 65 18 - - PUNCT fbem-8403 65 19 source source NOUN fbem-8403 65 20 procurement procurement NOUN fbem-8403 65 21 strategy strategy NOUN fbem-8403 65 22 , , PUNCT fbem-8403 65 23 the the DET fbem-8403 65 24 optimal optimal ADJ fbem-8403 65 25 purchase purchase NOUN fbem-8403 65 26 volume volume NOUN fbem-8403 65 27 of of ADP fbem-8403 65 28 retailers retailer NOUN fbem-8403 65 29 is be AUX fbem-8403 65 30 satisfied satisfied ADJ fbem-8403 65 31 π‘₯𝑓 π‘₯𝑓 ADP fbem-8403 65 32 π‘₯ π‘₯ PRON fbem-8403 65 33 𝑑π‘₯ 𝑑π‘₯ ADP fbem-8403 65 34 βˆ— βˆ— NOUN fbem-8403 65 35 . . PUNCT fbem-8403 66 1 proof proof NOUN fbem-8403 66 2 : : PUNCT fbem-8403 66 3 the the DET fbem-8403 66 4 𝐸 𝐸 PROPN fbem-8403 66 5 πœ‹ πœ‹ X fbem-8403 66 6 first first ADJ fbem-8403 66 7 derivative derivative ADJ fbem-8403 66 8 and and CCONJ fbem-8403 66 9 second second ADJ fbem-8403 66 10 derivative derivative NOUN fbem-8403 66 11 of of ADP fbem-8403 66 12 q q NOUN fbem-8403 66 13 will will AUX fbem-8403 66 14 be be AUX fbem-8403 66 15 found find VERB fbem-8403 66 16 respectively respectively ADV fbem-8403 66 17 : : PUNCT fbem-8403 66 18 𝑃 𝑃 VERB fbem-8403 66 19 𝑏 𝑏 NOUN fbem-8403 66 20 β„Ž β„Ž PART fbem-8403 66 21 𝐹 𝐹 PROPN fbem-8403 66 22 π‘₯ π‘₯ NOUN fbem-8403 66 23 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 66 24 β„Ž β„Ž PROPN fbem-8403 66 25 𝑐 𝑐 PROPN fbem-8403 66 26 πœ‡ πœ‡ X fbem-8403 66 27 ( ( PUNCT fbem-8403 66 28 3 3 NUM fbem-8403 66 29 ) ) PUNCT fbem-8403 66 30 ( ( PUNCT fbem-8403 66 31 4 4 NUM fbem-8403 66 32 ) ) PUNCT fbem-8403 66 33 because because SCONJ fbem-8403 66 34 , , PUNCT fbem-8403 66 35 𝑃 𝑃 PROPN fbem-8403 66 36 𝑐 𝑐 NOUN fbem-8403 66 37 𝑏 𝑏 NOUN fbem-8403 66 38 β„Ž β„Ž PROPN fbem-8403 66 39 0 0 NUM fbem-8403 66 40 , , PUNCT fbem-8403 66 41 β„Ž β„Ž PROPN fbem-8403 66 42 𝑃 𝑃 VERB fbem-8403 66 43 𝑏 𝑏 NOUN fbem-8403 66 44 0 0 NUM fbem-8403 66 45 , , PUNCT fbem-8403 66 46 launched launch VERB fbem-8403 66 47 0 0 NUM fbem-8403 66 48 . . PUNCT fbem-8403 67 1 so so ADV fbem-8403 67 2 , , PUNCT fbem-8403 67 3 it it PRON fbem-8403 67 4 can can AUX fbem-8403 67 5 be be AUX fbem-8403 67 6 seen see VERB fbem-8403 67 7 that that SCONJ fbem-8403 67 8 equation equation NOUN fbem-8403 67 9 ( ( PUNCT fbem-8403 67 10 4 4 NUM fbem-8403 67 11 ) ) PUNCT fbem-8403 67 12 is be AUX fbem-8403 67 13 a a DET fbem-8403 67 14 concave concave NOUN fbem-8403 67 15 function function NOUN fbem-8403 67 16 . . PUNCT fbem-8403 68 1 then then ADV fbem-8403 68 2 let let VERB fbem-8403 68 3 equation equation NOUN fbem-8403 68 4 ( ( PUNCT fbem-8403 68 5 3 3 X fbem-8403 68 6 ) ) PUNCT fbem-8403 68 7 equal equal ADJ fbem-8403 68 8 to to ADP fbem-8403 68 9 zero zero NUM fbem-8403 68 10 , , PUNCT fbem-8403 68 11 that that ADV fbem-8403 68 12 is is ADV fbem-8403 68 13 , , PUNCT fbem-8403 68 14 we we PRON fbem-8403 68 15 can can AUX fbem-8403 68 16 get get VERB fbem-8403 68 17 the the DET fbem-8403 68 18 optimal optimal ADJ fbem-8403 68 19 order order NOUN fbem-8403 68 20 quantity quantity NOUN fbem-8403 68 21 for for ADP fbem-8403 68 22 single single ADJ fbem-8403 68 23 - - PUNCT fbem-8403 68 24 source source NOUN fbem-8403 68 25 procurement procurement NOUN fbem-8403 68 26 satisfied satisfied ADJ fbem-8403 68 27 π‘„βˆ— π‘„βˆ— PUNCT fbem-8403 68 28 : : PUNCT fbem-8403 69 1 βˆ— βˆ— NOUN fbem-8403 69 2 βˆ— βˆ— VERB fbem-8403 69 3 𝑓 𝑓 ADV fbem-8403 69 4 π‘₯ π‘₯ NOUN fbem-8403 69 5 𝑑π‘₯ 𝑑π‘₯ ADP fbem-8403 69 6 βˆ— βˆ— NOUN fbem-8403 69 7 . . PUNCT fbem-8403 70 1 finally finally ADV fbem-8403 70 2 , , PUNCT fbem-8403 70 3 the the DET fbem-8403 70 4 simplification simplification NOUN fbem-8403 70 5 conversion conversion NOUN fbem-8403 70 6 can can AUX fbem-8403 70 7 be be AUX fbem-8403 70 8 : : PUNCT fbem-8403 70 9 π‘₯𝑓 π‘₯𝑓 ADP fbem-8403 70 10 π‘₯ π‘₯ PRON fbem-8403 70 11 𝑑π‘₯ 𝑑π‘₯ ADP fbem-8403 70 12 βˆ— βˆ— NOUN fbem-8403 70 13 ( ( PUNCT fbem-8403 70 14 5 5 NUM fbem-8403 70 15 ) ) PUNCT fbem-8403 70 16 in in ADP fbem-8403 70 17 the the DET fbem-8403 70 18 common common ADJ fbem-8403 70 19 equation equation NOUN fbem-8403 70 20 ( ( PUNCT fbem-8403 70 21 5 5 NUM fbem-8403 70 22 ) ) PUNCT fbem-8403 70 23 , , PUNCT fbem-8403 70 24 it it PRON fbem-8403 70 25 is be AUX fbem-8403 70 26 assumed assume VERB fbem-8403 70 27 above above ADV fbem-8403 70 28 , , PUNCT fbem-8403 70 29 so so ADV fbem-8403 70 30 𝑃 𝑃 PROPN fbem-8403 70 31 𝑐 𝑐 PROPN fbem-8403 70 32 it it PRON fbem-8403 70 33 is be AUX fbem-8403 70 34 known know VERB fbem-8403 70 35 1 1 NUM fbem-8403 70 36 . . PUNCT fbem-8403 71 1 and and CCONJ fbem-8403 71 2 πœ‡ πœ‡ X fbem-8403 71 3 π‘₯𝑓 π‘₯𝑓 ADP fbem-8403 71 4 π‘₯ π‘₯ NOUN fbem-8403 71 5 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-8403 71 6 in in ADP fbem-8403 71 7 turn turn NOUN fbem-8403 71 8 , , PUNCT fbem-8403 71 9 you you PRON fbem-8403 71 10 can can AUX fbem-8403 71 11 get get VERB fbem-8403 71 12 . . PUNCT fbem-8403 72 1 it it PRON fbem-8403 72 2 shows show VERB fbem-8403 72 3 that that SCONJ fbem-8403 72 4 in in ADP fbem-8403 72 5 the the DET fbem-8403 72 6 case case NOUN fbem-8403 72 7 of of ADP fbem-8403 72 8 a a DET fbem-8403 72 9 retailer retailer NOUN fbem-8403 72 10 adopting adopt VERB fbem-8403 72 11 a a DET fbem-8403 72 12 single single ADJ fbem-8403 72 13 - - PUNCT fbem-8403 72 14 source source NOUN fbem-8403 72 15 order order NOUN fbem-8403 72 16 βˆ— βˆ— NOUN fbem-8403 72 17 1 1 NUM fbem-8403 72 18 , , PUNCT fbem-8403 72 19 the the DET fbem-8403 72 20 optimal optimal ADJ fbem-8403 72 21 order order NOUN fbem-8403 72 22 quantity quantity NOUN fbem-8403 72 23 is be AUX fbem-8403 72 24 greater great ADJ fbem-8403 72 25 than than ADP fbem-8403 72 26 the the DET fbem-8403 72 27 demand demand NOUN fbem-8403 72 28 value value NOUN fbem-8403 72 29 due due ADP fbem-8403 72 30 to to ADP fbem-8403 72 31 the the DET fbem-8403 72 32 risk risk NOUN fbem-8403 72 33 of of ADP fbem-8403 72 34 supply supply NOUN fbem-8403 72 35 interruption interruption NOUN fbem-8403 72 36 . . PUNCT fbem-8403 73 1 nature nature NOUN fbem-8403 73 2 1 1 NUM fbem-8403 73 3 : : PUNCT fbem-8403 73 4 under under ADP fbem-8403 73 5 the the DET fbem-8403 73 6 single single ADJ fbem-8403 73 7 - - PUNCT fbem-8403 73 8 source source NOUN fbem-8403 73 9 procurement procurement NOUN fbem-8403 73 10 strategy strategy NOUN fbem-8403 73 11 , , PUNCT fbem-8403 73 12 the the DET fbem-8403 73 13 optimal optimal ADJ fbem-8403 73 14 order order NOUN fbem-8403 73 15 quantity quantity NOUN fbem-8403 73 16 ( ( PUNCT fbem-8403 73 17 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 73 18 ) ) PUNCT fbem-8403 73 19 , , PUNCT fbem-8403 73 20 increases increase VERB fbem-8403 73 21 with with ADP fbem-8403 73 22 the the DET fbem-8403 73 23 increase increase NOUN fbem-8403 73 24 of of ADP fbem-8403 73 25 purchase purchase NOUN fbem-8403 73 26 price price NOUN fbem-8403 73 27 ( ( PUNCT fbem-8403 73 28 𝑐 𝑐 NOUN fbem-8403 73 29 , , PUNCT fbem-8403 73 30 and and CCONJ fbem-8403 73 31 the the DET fbem-8403 73 32 average average ADJ fbem-8403 73 33 ΞΌ ΞΌ PROPN fbem-8403 73 34 of of ADP fbem-8403 73 35 interruption interruption NOUN fbem-8403 73 36 risk risk NOUN fbem-8403 73 37 , , PUNCT fbem-8403 73 38 and and CCONJ fbem-8403 73 39 decreases decrease VERB fbem-8403 73 40 with with ADP fbem-8403 73 41 the the DET fbem-8403 73 42 increase increase NOUN fbem-8403 73 43 of of ADP fbem-8403 73 44 sales sale NOUN fbem-8403 73 45 price price NOUN fbem-8403 73 46 , , PUNCT fbem-8403 73 47 out out ADV fbem-8403 73 48 - - PUNCT fbem-8403 73 49 of of ADP fbem-8403 73 50 - - PUNCT fbem-8403 73 51 stock stock NOUN fbem-8403 73 52 cost cost NOUN fbem-8403 73 53 , , PUNCT fbem-8403 73 54 and and CCONJ fbem-8403 73 55 salvage salvage NOUN fbem-8403 73 56 value value NOUN fbem-8403 73 57 . . PUNCT fbem-8403 74 1 proof proof NOUN fbem-8403 74 2 : : PUNCT fbem-8403 74 3 suppose suppose VERB fbem-8403 74 4 𝐺 𝐺 NOUN fbem-8403 74 5 π‘„βˆ— π‘„βˆ— NOUN fbem-8403 74 6 π‘₯𝑓 π‘₯𝑓 ADP fbem-8403 74 7 π‘₯ π‘₯ NOUN fbem-8403 74 8 𝑑π‘₯ 𝑑π‘₯ ADP fbem-8403 74 9 βˆ— βˆ— NOUN fbem-8403 74 10 , , PUNCT fbem-8403 74 11 then then ADV fbem-8403 74 12 equation equation NOUN fbem-8403 74 13 ( ( PUNCT fbem-8403 74 14 5 5 X fbem-8403 74 15 ) ) PUNCT fbem-8403 74 16 can can AUX fbem-8403 74 17 be be AUX fbem-8403 74 18 simplified simplify VERB fbem-8403 74 19 to to ADP fbem-8403 74 20 𝐺 𝐺 PROPN fbem-8403 74 21 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 74 22 , , PUNCT fbem-8403 74 23 the the DET fbem-8403 74 24 above above ADJ fbem-8403 74 25 equation equation NOUN fbem-8403 74 26 is be AUX fbem-8403 74 27 paired pair VERB fbem-8403 74 28 , , PUNCT fbem-8403 74 29 and and CCONJ fbem-8403 74 30 𝑐 𝑐 PROPN fbem-8403 74 31 、 、 NOUN fbem-8403 74 32 πœ‡γ€p、b、h πœ‡γ€p、b、h ADJ fbem-8403 74 33 can can AUX fbem-8403 74 34 be be AUX fbem-8403 74 35 derived derive VERB fbem-8403 74 36 : : PUNCT fbem-8403 74 37 𝑑𝐺 𝑑𝐺 VERB fbem-8403 74 38 𝑑𝑐 𝑑𝑐 NOUN fbem-8403 74 39 πœ‡ πœ‡ ADP fbem-8403 74 40 𝑃 𝑃 NOUN fbem-8403 74 41 𝑏 𝑏 NOUN fbem-8403 74 42 β„Ž β„Ž PART fbem-8403 74 43 0 0 NUM fbem-8403 74 44 𝑑𝐺 𝑑𝐺 NOUN fbem-8403 74 45 π‘‘πœ‡ π‘‘πœ‡ SCONJ fbem-8403 74 46 𝑐 𝑐 NOUN fbem-8403 74 47 β„Ž β„Ž PART fbem-8403 74 48 𝑃 𝑃 VERB fbem-8403 74 49 𝑏 𝑏 PRON fbem-8403 74 50 β„Ž β„Ž PART fbem-8403 74 51 0 0 NUM fbem-8403 74 52 𝑑𝐺 𝑑𝐺 NOUN fbem-8403 74 53 𝑑𝑃 𝑑𝑃 PROPN fbem-8403 74 54 𝑐 𝑐 NOUN fbem-8403 74 55 β„Ž β„Ž X fbem-8403 74 56 πœ‡ πœ‡ ADP fbem-8403 74 57 𝑃 𝑃 NOUN fbem-8403 74 58 𝑏 𝑏 NOUN fbem-8403 74 59 β„Ž β„Ž PART fbem-8403 74 60 0 0 NUM fbem-8403 74 61 𝑑𝐺 𝑑𝐺 NOUN fbem-8403 74 62 𝑑𝑏 𝑑𝑏 ADP fbem-8403 74 63 𝑐 𝑐 PROPN fbem-8403 74 64 β„Ž β„Ž PROPN fbem-8403 74 65 πœ‡ πœ‡ ADP fbem-8403 74 66 𝑃 𝑃 NOUN fbem-8403 74 67 𝑏 𝑏 NOUN fbem-8403 74 68 β„Ž β„Ž SYM fbem-8403 74 69 0 0 NUM fbem-8403 74 70 𝑑𝐺 𝑑𝐺 NOUN fbem-8403 74 71 π‘‘β„Ž π‘‘β„Ž PROPN fbem-8403 74 72 𝑐 𝑐 VERB fbem-8403 74 73 β„Ž β„Ž PROPN fbem-8403 74 74 πœ‡ πœ‡ ADP fbem-8403 74 75 πœ‡ πœ‡ ADP fbem-8403 74 76 𝑃 𝑃 NOUN fbem-8403 74 77 𝑏 𝑏 NOUN fbem-8403 74 78 β„Ž β„Ž NOUN fbem-8403 74 79 𝑃 𝑃 VERB fbem-8403 74 80 𝑏 𝑏 NOUN fbem-8403 74 81 β„Ž β„Ž ADP fbem-8403 74 82 𝑐 𝑐 PROPN fbem-8403 74 83 𝑃 𝑃 VERB fbem-8403 74 84 𝑏 𝑏 NOUN fbem-8403 74 85 πœ‡ πœ‡ ADP fbem-8403 74 86 𝑃 𝑃 NOUN fbem-8403 74 87 𝑏 𝑏 NOUN fbem-8403 74 88 β„Ž β„Ž NOUN fbem-8403 74 89 0 0 NUM fbem-8403 74 90 therefore therefore ADV fbem-8403 74 91 , , PUNCT fbem-8403 74 92 the the DET fbem-8403 74 93 optimal optimal ADJ fbem-8403 74 94 order order NOUN fbem-8403 74 95 quantity quantity NOUN fbem-8403 74 96 is be AUX fbem-8403 74 97 about about ADP fbem-8403 74 98 the the DET fbem-8403 74 99 commodity commodity NOUN fbem-8403 74 100 price price NOUN fbem-8403 74 101 of of ADP fbem-8403 74 102 the the DET fbem-8403 74 103 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 74 104 risk risk NOUN fbem-8403 74 105 supplier supplier NOUN fbem-8403 74 106 , , PUNCT fbem-8403 74 107 the the DET fbem-8403 74 108 𝑐 𝑐 PROPN fbem-8403 74 109 average average ADJ fbem-8403 74 110 value value NOUN fbem-8403 74 111 of of ADP fbem-8403 74 112 interruption interruption NOUN fbem-8403 74 113 risk risk NOUN fbem-8403 74 114 ΞΌ ΞΌ PROPN fbem-8403 74 115 monotonically monotonically ADV fbem-8403 74 116 increasing increase VERB fbem-8403 74 117 , , PUNCT fbem-8403 74 118 the the DET fbem-8403 74 119 sales sale NOUN fbem-8403 74 120 price price NOUN fbem-8403 74 121 p p X fbem-8403 74 122 , , PUNCT fbem-8403 74 123 the the DET fbem-8403 74 124 out out ADV fbem-8403 74 125 - - PUNCT fbem-8403 74 126 of of ADP fbem-8403 74 127 - - PUNCT fbem-8403 74 128 stock stock NOUN fbem-8403 74 129 cost cost NOUN fbem-8403 74 130 b b NOUN fbem-8403 74 131 , , PUNCT fbem-8403 74 132 and and CCONJ fbem-8403 74 133 the the DET fbem-8403 74 134 residual residual ADJ fbem-8403 74 135 value value NOUN fbem-8403 74 136 of of ADP fbem-8403 74 137 the the DET fbem-8403 74 138 commodity commodity NOUN fbem-8403 74 139 h h NOUN fbem-8403 74 140 monotonically monotonically ADV fbem-8403 74 141 diminishing diminish VERB fbem-8403 74 142 . . PUNCT fbem-8403 75 1 3.2 3.2 NUM fbem-8403 75 2 . . PUNCT fbem-8403 76 1 dual dual ADJ fbem-8403 76 2 - - PUNCT fbem-8403 76 3 source source NOUN fbem-8403 76 4 ordering ordering NOUN fbem-8403 76 5 strategy strategy NOUN fbem-8403 76 6 the the DET fbem-8403 76 7 retailer retailer NOUN fbem-8403 76 8 adopts adopt VERB fbem-8403 76 9 a a DET fbem-8403 76 10 dual dual ADJ fbem-8403 76 11 - - PUNCT fbem-8403 76 12 source source NOUN fbem-8403 76 13 ordering ordering NOUN fbem-8403 76 14 strategy strategy NOUN fbem-8403 76 15 , , PUNCT fbem-8403 76 16 i.e. i.e. X fbem-8403 76 17 ordering order VERB fbem-8403 76 18 q q PROPN fbem-8403 76 19 units unit NOUN fbem-8403 76 20 at at ADP fbem-8403 76 21 price price NOUN fbem-8403 76 22 from from ADP fbem-8403 76 23 risk risk NOUN fbem-8403 76 24 supplier supplier NOUN fbem-8403 76 25 a a DET fbem-8403 76 26 𝑐 𝑐 NOUN fbem-8403 76 27 and and CCONJ fbem-8403 76 28 option option NOUN fbem-8403 76 29 supplier supplier NOUN fbem-8403 76 30 b b NOUN fbem-8403 76 31 conclude conclude VERB fbem-8403 76 32 an an DET fbem-8403 76 33 option option NOUN fbem-8403 76 34 contract contract NOUN fbem-8403 76 35 with with ADP fbem-8403 76 36 a a DET fbem-8403 76 37 unit unit NOUN fbem-8403 76 38 price price NOUN fbem-8403 76 39 of of ADP fbem-8403 76 40 𝑐 𝑐 PROPN fbem-8403 76 41 the the DET fbem-8403 76 42 option option NOUN fbem-8403 76 43 quantity quantity NOUN fbem-8403 76 44 is be AUX fbem-8403 76 45 q q ADJ fbem-8403 76 46 and and CCONJ fbem-8403 76 47 the the DET fbem-8403 76 48 option option NOUN fbem-8403 76 49 strike strike NOUN fbem-8403 76 50 price price NOUN fbem-8403 76 51 is be AUX fbem-8403 76 52 𝑐 𝑐 NOUN fbem-8403 76 53 in in ADP fbem-8403 76 54 order order NOUN fbem-8403 76 55 to to PART fbem-8403 76 56 ensure ensure VERB fbem-8403 76 57 that that SCONJ fbem-8403 76 58 the the DET fbem-8403 76 59 retailer retailer NOUN fbem-8403 76 60 is be AUX fbem-8403 76 61 profitable profitable ADJ fbem-8403 76 62 , , PUNCT fbem-8403 76 63 it it PRON fbem-8403 76 64 is be AUX fbem-8403 76 65 assumed assume VERB fbem-8403 76 66 that that SCONJ fbem-8403 76 67 𝑃 𝑃 VERB fbem-8403 76 68 𝑏 𝑏 PROPN fbem-8403 76 69 𝑐 𝑐 PROPN fbem-8403 76 70 𝑐 𝑐 PROPN fbem-8403 76 71 , , PUNCT fbem-8403 76 72 the the DET fbem-8403 76 73 profit profit NOUN fbem-8403 76 74 function function NOUN fbem-8403 76 75 of of ADP fbem-8403 76 76 the the DET fbem-8403 76 77 retailer retailer NOUN fbem-8403 76 78 under under ADP fbem-8403 76 79 the the DET fbem-8403 76 80 dual dual ADJ fbem-8403 76 81 - - PUNCT fbem-8403 76 82 source source NOUN fbem-8403 76 83 ordering ordering NOUN fbem-8403 76 84 strategy strategy NOUN fbem-8403 76 85 is be AUX fbem-8403 76 86 : : PUNCT fbem-8403 76 87 πœ‹ πœ‹ PROPN fbem-8403 76 88 π‘ƒπ‘šπ‘–π‘› π‘ƒπ‘šπ‘–π‘› PROPN fbem-8403 76 89 𝐷 𝐷 PROPN fbem-8403 76 90 , , PUNCT fbem-8403 76 91 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 76 92 π‘ž π‘ž X fbem-8403 76 93 𝑐 𝑐 NOUN fbem-8403 76 94 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 76 95 𝑐 𝑐 PROPN fbem-8403 76 96 π‘ž π‘ž PROPN fbem-8403 76 97 𝑐 𝑐 PROPN fbem-8403 76 98 min min PROPN fbem-8403 76 99 max max PROPN fbem-8403 76 100 𝐷 𝐷 PROPN fbem-8403 76 101 π‘₯𝑄 π‘₯𝑄 PROPN fbem-8403 76 102 , , PUNCT fbem-8403 76 103 0 0 NUM fbem-8403 76 104 , , PUNCT fbem-8403 76 105 π‘ž π‘ž PROPN fbem-8403 76 106 π‘π‘šπ‘Žπ‘₯ π‘π‘šπ‘Žπ‘₯ NOUN fbem-8403 76 107 𝐷 𝐷 PROPN fbem-8403 76 108 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 76 109 π‘ž π‘ž PROPN fbem-8403 76 110 , , PUNCT fbem-8403 76 111 0 0 NUM fbem-8403 76 112 β„Žπ‘šπ‘Žπ‘₯ β„Žπ‘šπ‘Žπ‘₯ NOUN fbem-8403 76 113 π‘₯𝑄 π‘₯𝑄 NOUN fbem-8403 76 114 𝐷 𝐷 PROPN fbem-8403 76 115 , , PUNCT fbem-8403 76 116 0 0 NUM fbem-8403 76 117 ( ( PUNCT fbem-8403 76 118 6 6 NUM fbem-8403 76 119 ) ) PUNCT fbem-8403 76 120 the the DET fbem-8403 76 121 first first ADJ fbem-8403 76 122 item item NOUN fbem-8403 76 123 on on ADP fbem-8403 76 124 the the DET fbem-8403 76 125 right right ADJ fbem-8403 76 126 side side NOUN fbem-8403 76 127 of of ADP fbem-8403 76 128 the the DET fbem-8403 76 129 equation equation NOUN fbem-8403 76 130 is be AUX fbem-8403 76 131 the the DET fbem-8403 76 132 total total ADJ fbem-8403 76 133 revenue revenue NOUN fbem-8403 76 134 received receive VERB fbem-8403 76 135 by by ADP fbem-8403 76 136 the the DET fbem-8403 76 137 retailer retailer NOUN fbem-8403 76 138 , , PUNCT fbem-8403 76 139 the the DET fbem-8403 76 140 second second ADJ fbem-8403 76 141 item item NOUN fbem-8403 76 142 is be AUX fbem-8403 76 143 the the DET fbem-8403 76 144 cost cost NOUN fbem-8403 76 145 of of ADP fbem-8403 76 146 the the DET fbem-8403 76 147 retailer retailer NOUN fbem-8403 76 148 ordering order VERB fbem-8403 76 149 from from ADP fbem-8403 76 150 risk risk NOUN fbem-8403 76 151 supplier supplier NOUN fbem-8403 76 152 a a ADP fbem-8403 76 153 , , PUNCT fbem-8403 76 154 the the DET fbem-8403 76 155 third third ADJ fbem-8403 76 156 item item NOUN fbem-8403 76 157 is be AUX fbem-8403 76 158 the the DET fbem-8403 76 159 price price NOUN fbem-8403 76 160 of of ADP fbem-8403 76 161 the the DET fbem-8403 76 162 option option NOUN fbem-8403 76 163 contract contract NOUN fbem-8403 76 164 with with ADP fbem-8403 76 165 option option NOUN fbem-8403 76 166 supplier supplier NOUN fbem-8403 76 167 b b NOUN fbem-8403 76 168 , , PUNCT fbem-8403 76 169 and and CCONJ fbem-8403 76 170 the the DET fbem-8403 76 171 fourth fourth ADJ fbem-8403 76 172 item item NOUN fbem-8403 76 173 is be AUX fbem-8403 76 174 the the DET fbem-8403 76 175 option option NOUN fbem-8403 76 176 contract contract NOUN fbem-8403 76 177 after after SCONJ fbem-8403 76 178 it it PRON fbem-8403 76 179 becomes become VERB fbem-8403 76 180 effective effective ADJ fbem-8403 76 181 option option NOUN fbem-8403 76 182 supplier supplier NOUN fbem-8403 76 183 b b NOUN fbem-8403 76 184 's 's PART fbem-8403 76 185 purchase purchase NOUN fbem-8403 76 186 cost cost NOUN fbem-8403 76 187 , , PUNCT fbem-8403 76 188 the the DET fbem-8403 76 189 fifth fifth ADJ fbem-8403 76 190 item item NOUN fbem-8403 76 191 is be AUX fbem-8403 76 192 the the DET fbem-8403 76 193 out out ADJ fbem-8403 76 194 - - PUNCT fbem-8403 76 195 ofstock ofstock NOUN fbem-8403 76 196 cost cost NOUN fbem-8403 76 197 , , PUNCT fbem-8403 76 198 and and CCONJ fbem-8403 76 199 the the DET fbem-8403 76 200 last last ADJ fbem-8403 76 201 item item NOUN fbem-8403 76 202 is be AUX fbem-8403 76 203 the the DET fbem-8403 76 204 residual residual ADJ fbem-8403 76 205 value value NOUN fbem-8403 76 206 of of ADP fbem-8403 76 207 the the DET fbem-8403 76 208 remaining remain VERB fbem-8403 76 209 goods good NOUN fbem-8403 76 210 . . PUNCT fbem-8403 77 1 the the DET fbem-8403 77 2 retailer retailer NOUN fbem-8403 77 3 's 's PART fbem-8403 77 4 profit profit NOUN fbem-8403 77 5 expectations expectation NOUN fbem-8403 77 6 can can AUX fbem-8403 77 7 be be AUX fbem-8403 77 8 reduced reduce VERB fbem-8403 77 9 to to ADP fbem-8403 77 10 : : PUNCT fbem-8403 77 11 𝐸 𝐸 PROPN fbem-8403 77 12 πœ‹ πœ‹ NOUN fbem-8403 77 13 𝑃 𝑃 NOUN fbem-8403 77 14 𝑐 𝑐 NOUN fbem-8403 77 15 𝑏 𝑏 NOUN fbem-8403 77 16 𝑄 𝑄 PROPN fbem-8403 78 1 𝐹 𝐹 PROPN fbem-8403 78 2 π‘₯ π‘₯ VERB fbem-8403 78 3 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 78 4 𝑐 𝑐 PROPN fbem-8403 78 5 β„Ž β„Ž ADP fbem-8403 78 6 𝑄 𝑄 PROPN fbem-8403 79 1 𝐹 𝐹 PROPN fbem-8403 79 2 π‘₯ π‘₯ NOUN fbem-8403 79 3 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-8403 79 4 𝑃 𝑃 NOUN fbem-8403 79 5 β„Ž β„Ž PROPN fbem-8403 79 6 𝐷 𝐷 NOUN fbem-8403 79 7 β„Ž β„Ž NOUN fbem-8403 79 8 𝑐 𝑐 PROPN fbem-8403 79 9 πœ‡π‘„ πœ‡π‘„ NOUN fbem-8403 79 10 𝑐 𝑐 PROPN fbem-8403 79 11 π‘ž π‘ž PROPN fbem-8403 79 12 ( ( PUNCT fbem-8403 79 13 7 7 NUM fbem-8403 79 14 ) ) PUNCT fbem-8403 79 15 110 110 NUM fbem-8403 79 16 𝐸 𝐸 PROPN fbem-8403 79 17 πœ‹ πœ‹ NOUN fbem-8403 79 18 𝑃 𝑃 NOUN fbem-8403 79 19 𝑐 𝑐 NOUN fbem-8403 79 20 𝑏 𝑏 NOUN fbem-8403 79 21 𝑄 𝑄 PROPN fbem-8403 80 1 𝐹 𝐹 PROPN fbem-8403 80 2 π‘₯ π‘₯ VERB fbem-8403 80 3 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 80 4 𝑐 𝑐 PROPN fbem-8403 80 5 β„Ž β„Ž ADP fbem-8403 80 6 𝑄 𝑄 PROPN fbem-8403 81 1 𝐹 𝐹 PROPN fbem-8403 81 2 π‘₯ π‘₯ NOUN fbem-8403 81 3 𝑑π‘₯ 𝑑π‘₯ NOUN fbem-8403 81 4 𝑃 𝑃 NOUN fbem-8403 81 5 β„Ž β„Ž PROPN fbem-8403 81 6 𝐷 𝐷 NOUN fbem-8403 81 7 β„Ž β„Ž NOUN fbem-8403 81 8 𝑐 𝑐 PROPN fbem-8403 81 9 πœ‡π‘„ πœ‡π‘„ NOUN fbem-8403 81 10 𝑐 𝑐 NOUN fbem-8403 81 11 π‘ž π‘ž PRON fbem-8403 81 12 proposition proposition NOUN fbem-8403 81 13 2 2 NUM fbem-8403 81 14 : : PUNCT fbem-8403 81 15 the the DET fbem-8403 81 16 retailer retailer NOUN fbem-8403 81 17 's 's PART fbem-8403 81 18 expected expect VERB fbem-8403 81 19 profit profit NOUN fbem-8403 81 20 is be AUX fbem-8403 81 21 a a DET fbem-8403 81 22 𝐸 𝐸 PROPN fbem-8403 81 23 πœ‹ πœ‹ NOUN fbem-8403 81 24 joint joint ADJ fbem-8403 81 25 concave concave NOUN fbem-8403 81 26 function function NOUN fbem-8403 81 27 about about ADP fbem-8403 81 28 q q PROPN fbem-8403 81 29 and and CCONJ fbem-8403 81 30 q. q. PROPN fbem-8403 81 31 prove prove VERB fbem-8403 81 32 : : PUNCT fbem-8403 81 33 𝑃 𝑃 VERB fbem-8403 81 34 𝑐 𝑐 NOUN fbem-8403 81 35 𝑏 𝑏 NOUN fbem-8403 81 36 𝐹 𝐹 PROPN fbem-8403 81 37 π‘₯ π‘₯ NOUN fbem-8403 81 38 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 81 39 𝐹 𝐹 PROPN fbem-8403 81 40 𝑐 𝑐 NOUN fbem-8403 81 41 β„Ž β„Ž PART fbem-8403 81 42 𝐹 𝐹 PROPN fbem-8403 81 43 π‘₯ π‘₯ NOUN fbem-8403 81 44 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 81 45 𝐹 𝐹 PROPN fbem-8403 81 46 β„Ž β„Ž PROPN fbem-8403 81 47 𝑐 𝑐 PROPN fbem-8403 81 48 πœ‡ πœ‡ ADP fbem-8403 81 49 𝑃 𝑃 PROPN fbem-8403 81 50 𝑐 𝑐 NOUN fbem-8403 81 51 𝑏 𝑏 NOUN fbem-8403 81 52 𝐹 𝐹 PROPN fbem-8403 81 53 𝑐 𝑐 PROPN fbem-8403 81 54 |𝐻 |𝐻 NOUN fbem-8403 81 55 | | ADV fbem-8403 81 56 0 0 NUM fbem-8403 81 57 |𝐻 |𝐻 NOUN fbem-8403 81 58 | | ADV fbem-8403 81 59 0 0 PUNCT fbem-8403 82 1 because because SCONJ fbem-8403 82 2 the the DET fbem-8403 82 3 hesse hesse PROPN fbem-8403 82 4 matrix matrix NOUN fbem-8403 82 5 is be AUX fbem-8403 82 6 negative negative ADJ fbem-8403 82 7 , , PUNCT fbem-8403 82 8 the the DET fbem-8403 82 9 retailer retailer NOUN fbem-8403 82 10 's 's PART fbem-8403 82 11 𝐸 𝐸 PROPN fbem-8403 82 12 πœ‹ πœ‹ PRON fbem-8403 82 13 expected expect VERB fbem-8403 82 14 profit profit NOUN fbem-8403 82 15 is be AUX fbem-8403 82 16 a a DET fbem-8403 82 17 joint joint ADJ fbem-8403 82 18 concave concave NOUN fbem-8403 82 19 function function NOUN fbem-8403 82 20 of of ADP fbem-8403 82 21 q q PROPN fbem-8403 82 22 and and CCONJ fbem-8403 82 23 q. q. NOUN fbem-8403 82 24 so so ADV fbem-8403 82 25 , , PUNCT fbem-8403 82 26 0 0 PUNCT fbem-8403 82 27 the the DET fbem-8403 82 28 order order NOUN fbem-8403 82 29 can can AUX fbem-8403 82 30 get get VERB fbem-8403 82 31 the the DET fbem-8403 82 32 optimal optimal ADJ fbem-8403 82 33 order order NOUN fbem-8403 82 34 quantity quantity NOUN fbem-8403 82 35 0 0 NUM fbem-8403 82 36 of of ADP fbem-8403 82 37 the the DET fbem-8403 82 38 retailer retailer NOUN fbem-8403 82 39 to to PART fbem-8403 82 40 risk risk VERB fbem-8403 82 41 provider provider NOUN fbem-8403 82 42 a a DET fbem-8403 82 43 and and CCONJ fbem-8403 82 44 option option NOUN fbem-8403 82 45 supplier supplier NOUN fbem-8403 82 46 b b NOUN fbem-8403 82 47 , , PUNCT fbem-8403 82 48 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 82 49 and and CCONJ fbem-8403 82 50 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 82 51 proposition proposition NOUN fbem-8403 82 52 3 3 NUM fbem-8403 82 53 : : PUNCT fbem-8403 82 54 the the DET fbem-8403 82 55 retailer retailer NOUN fbem-8403 82 56 needs need VERB fbem-8403 82 57 to to PART fbem-8403 82 58 order order VERB fbem-8403 82 59 quantities quantity NOUN fbem-8403 82 60 from from ADP fbem-8403 82 61 risk risk NOUN fbem-8403 82 62 supplier supplier NOUN fbem-8403 82 63 a. a. NOUN fbem-8403 82 64 proof proof NOUN fbem-8403 82 65 : : PUNCT fbem-8403 82 66 using use VERB fbem-8403 82 67 the the DET fbem-8403 82 68 lagrange lagrange NOUN fbem-8403 82 69 multiplier multipli ADJ fbem-8403 82 70 method method NOUN fbem-8403 82 71 for for ADP fbem-8403 82 72 calculation calculation NOUN fbem-8403 82 73 , , PUNCT fbem-8403 82 74 the the DET fbem-8403 82 75 lagrange lagrange NOUN fbem-8403 82 76 multiplier multiplier ADV fbem-8403 82 77 πœ† πœ† NOUN fbem-8403 82 78 is be AUX fbem-8403 82 79 introduced introduce VERB fbem-8403 82 80 to to ADP fbem-8403 82 81 πœ† πœ† DET fbem-8403 82 82 form form NOUN fbem-8403 82 83 the the DET fbem-8403 82 84 lagrange lagrange NOUN fbem-8403 82 85 function function NOUN fbem-8403 82 86 as as ADP fbem-8403 82 87 , , PUNCT fbem-8403 82 88 and and CCONJ fbem-8403 82 89 the the DET fbem-8403 82 90 kkt kkt PROPN fbem-8403 82 91 condition condition NOUN fbem-8403 82 92 has have VERB fbem-8403 82 93 the the DET fbem-8403 82 94 following follow VERB fbem-8403 82 95 formula formula NOUN fbem-8403 82 96 : : PUNCT fbem-8403 82 97 𝐿 𝐿 PROPN fbem-8403 82 98 𝑄 𝑄 PROPN fbem-8403 82 99 , , PUNCT fbem-8403 82 100 π‘ž π‘ž X fbem-8403 82 101 , , PUNCT fbem-8403 82 102 πœ† πœ† INTJ fbem-8403 82 103 , , PUNCT fbem-8403 82 104 πœ† πœ† PROPN fbem-8403 82 105 𝐸 𝐸 PROPN fbem-8403 82 106 πœ‹ πœ‹ VERB fbem-8403 82 107 πœ† πœ† PRON fbem-8403 82 108 𝑄 𝑄 PROPN fbem-8403 82 109 πœ† πœ† ADP fbem-8403 82 110 π‘ž π‘ž NOUN fbem-8403 82 111 : : PUNCT fbem-8403 82 112 ⎩ ⎩ PROPN fbem-8403 82 113 βŽͺβŽͺ βŽͺβŽͺ PROPN fbem-8403 82 114 ⎨ ⎨ PROPN fbem-8403 82 115 βŽͺβŽͺ βŽͺβŽͺ PROPN fbem-8403 82 116 ⎧ ⎧ PROPN fbem-8403 83 1 πœ† πœ† ADP fbem-8403 83 2 𝑄 𝑄 PROPN fbem-8403 83 3 0 0 NUM fbem-8403 83 4 β‘  β‘  PROPN fbem-8403 83 5 πœ† πœ† ADP fbem-8403 83 6 π‘ž π‘ž X fbem-8403 83 7 0 0 NUM fbem-8403 83 8 β‘‘ β‘‘ NUM fbem-8403 83 9 πœ† πœ† DET fbem-8403 83 10 0 0 NUM fbem-8403 83 11 β‘’ β‘’ NUM fbem-8403 83 12 πœ† πœ† NOUN fbem-8403 83 13 0 0 NUM fbem-8403 83 14 β‘£ β‘£ NUM fbem-8403 83 15 π‘ž π‘ž PROPN fbem-8403 83 16 0 0 NUM fbem-8403 83 17 , , PUNCT fbem-8403 83 18 𝑄 𝑄 PROPN fbem-8403 83 19 0 0 NUM fbem-8403 83 20 , , PUNCT fbem-8403 83 21 πœ† πœ† PRON fbem-8403 83 22 0οΌŒπœ† 0οΌŒπœ† NUM fbem-8403 83 23 0 0 NUM fbem-8403 83 24 β‘€ β‘€ PROPN fbem-8403 83 25 ( ( PUNCT fbem-8403 83 26 8) 8) NUM fbem-8403 83 27 if if SCONJ fbem-8403 83 28 q=0 q=0 NOUN fbem-8403 83 29 , , PUNCT fbem-8403 83 30 then then ADV fbem-8403 83 31 the the DET fbem-8403 83 32 retailer retailer NOUN fbem-8403 83 33 does do AUX fbem-8403 83 34 not not PART fbem-8403 83 35 𝐹 𝐹 PROPN fbem-8403 83 36 𝐹 𝐹 PROPN fbem-8403 83 37 1 1 NUM fbem-8403 83 38 order order NOUN fbem-8403 83 39 from from ADP fbem-8403 83 40 risk risk NOUN fbem-8403 83 41 supplier supplier NOUN fbem-8403 83 42 a a NOUN fbem-8403 83 43 , , PUNCT fbem-8403 83 44 then then ADV fbem-8403 83 45 it it PRON fbem-8403 83 46 must must AUX fbem-8403 83 47 order order VERB fbem-8403 83 48 from from ADP fbem-8403 83 49 option option NOUN fbem-8403 83 50 supplier supplier NOUN fbem-8403 83 51 b b NOUN fbem-8403 83 52 , , PUNCT fbem-8403 83 53 so so ADV fbem-8403 83 54 π‘ž π‘ž X fbem-8403 83 55 0 0 PROPN fbem-8403 83 56 . . PUNCT fbem-8403 84 1 according accord VERB fbem-8403 84 2 to to ADP fbem-8403 84 3 ( ( PUNCT fbem-8403 84 4 2 2 X fbem-8403 84 5 ) ) PUNCT fbem-8403 84 6 can can AUX fbem-8403 84 7 be be AUX fbem-8403 84 8 obtained obtain VERB fbem-8403 84 9 πœ† πœ† ADP fbem-8403 84 10 0 0 NUM fbem-8403 84 11 , , PUNCT fbem-8403 84 12 the the DET fbem-8403 84 13 above above ADJ fbem-8403 84 14 conditions condition NOUN fbem-8403 84 15 can can AUX fbem-8403 84 16 be be AUX fbem-8403 84 17 brought bring VERB fbem-8403 84 18 into into ADP fbem-8403 84 19 ( ( PUNCT fbem-8403 84 20 4 4 NUM fbem-8403 84 21 ) ) PUNCT fbem-8403 84 22 to to PART fbem-8403 84 23 solve solve VERB fbem-8403 84 24 : : PUNCT fbem-8403 84 25 𝑃 𝑃 VERB fbem-8403 84 26 𝑐 𝑐 NOUN fbem-8403 84 27 𝑏 𝑏 NOUN fbem-8403 84 28 𝐹 𝐹 PROPN fbem-8403 84 29 𝐷 𝐷 PROPN fbem-8403 84 30 π‘ž π‘ž NOUN fbem-8403 84 31 𝑄 𝑄 PROPN fbem-8403 84 32 𝑐 𝑐 PROPN fbem-8403 84 33 πœ† πœ† ADP fbem-8403 84 34 0 0 NUM fbem-8403 84 35 the the DET fbem-8403 84 36 above above ADJ fbem-8403 84 37 formula formula NOUN fbem-8403 84 38 can can AUX fbem-8403 84 39 be be AUX fbem-8403 84 40 simplified simplify VERB fbem-8403 84 41 , , PUNCT fbem-8403 84 42 indicating indicate VERB fbem-8403 84 43 that that SCONJ fbem-8403 84 44 if if SCONJ fbem-8403 84 45 the the DET fbem-8403 84 46 retailer retailer NOUN fbem-8403 84 47 only only ADV fbem-8403 84 48 𝑃 𝑃 VERB fbem-8403 84 49 𝑏 𝑏 PROPN fbem-8403 84 50 𝑐 𝑐 PROPN fbem-8403 84 51 𝑐 𝑐 PROPN fbem-8403 84 52 purchases purchase VERB fbem-8403 84 53 goods good NOUN fbem-8403 84 54 from from ADP fbem-8403 84 55 supplier supplier NOUN fbem-8403 84 56 b b NOUN fbem-8403 84 57 , , PUNCT fbem-8403 84 58 the the DET fbem-8403 84 59 breakeven breakeven NOUN fbem-8403 84 60 is be AUX fbem-8403 84 61 inconsistent inconsistent ADJ fbem-8403 84 62 with with ADP fbem-8403 84 63 the the DET fbem-8403 84 64 previous previous ADJ fbem-8403 84 65 assumptions assumption NOUN fbem-8403 84 66 , , PUNCT fbem-8403 84 67 so so SCONJ fbem-8403 84 68 the the DET fbem-8403 84 69 retailer retailer NOUN fbem-8403 84 70 will will AUX fbem-8403 84 71 purchase purchase VERB fbem-8403 84 72 goods good NOUN fbem-8403 84 73 from from ADP fbem-8403 84 74 risk risk NOUN fbem-8403 84 75 supplier supplier NOUN fbem-8403 84 76 a a PRON fbem-8403 84 77 in in ADP fbem-8403 84 78 order order NOUN fbem-8403 84 79 to to PART fbem-8403 84 80 make make VERB fbem-8403 84 81 a a DET fbem-8403 84 82 profit profit NOUN fbem-8403 84 83 𝑃 𝑃 NOUN fbem-8403 84 84 𝑏 𝑏 PROPN fbem-8403 84 85 𝑐 𝑐 PROPN fbem-8403 84 86 𝑐 𝑐 PROPN fbem-8403 84 87 . . PUNCT fbem-8403 85 1 instead instead ADV fbem-8403 85 2 of of ADP fbem-8403 85 3 relying rely VERB fbem-8403 85 4 solely solely ADV fbem-8403 85 5 on on ADP fbem-8403 85 6 option option NOUN fbem-8403 85 7 contracts contract NOUN fbem-8403 85 8 for for ADP fbem-8403 85 9 the the DET fbem-8403 85 10 purchase purchase NOUN fbem-8403 85 11 and and CCONJ fbem-8403 85 12 sale sale NOUN fbem-8403 85 13 of of ADP fbem-8403 85 14 goods good NOUN fbem-8403 85 15 . . PUNCT fbem-8403 86 1 according accord VERB fbem-8403 86 2 to to ADP fbem-8403 86 3 propositions proposition NOUN fbem-8403 86 4 2 2 NUM fbem-8403 86 5 and and CCONJ fbem-8403 86 6 3 3 NUM fbem-8403 86 7 , , PUNCT fbem-8403 86 8 there there PRON fbem-8403 86 9 are be VERB fbem-8403 86 10 two two NUM fbem-8403 86 11 types type NOUN fbem-8403 86 12 of of ADP fbem-8403 86 13 retailer retailer NOUN fbem-8403 86 14 procurement procurement NOUN fbem-8403 86 15 strategies strategy NOUN fbem-8403 86 16 , , PUNCT fbem-8403 86 17 one one NUM fbem-8403 86 18 is be AUX fbem-8403 86 19 to to PART fbem-8403 86 20 purchase purchase VERB fbem-8403 86 21 goods good NOUN fbem-8403 86 22 from from ADP fbem-8403 86 23 risk risk NOUN fbem-8403 86 24 supplier supplier NOUN fbem-8403 86 25 a a DET fbem-8403 86 26 separately separately ADV fbem-8403 86 27 , , PUNCT fbem-8403 86 28 which which PRON fbem-8403 86 29 confirms confirm VERB fbem-8403 86 30 that that SCONJ fbem-8403 86 31 the the DET fbem-8403 86 32 previous previous ADJ fbem-8403 86 33 single single ADJ fbem-8403 86 34 - - PUNCT fbem-8403 86 35 source source NOUN fbem-8403 86 36 procurement procurement NOUN fbem-8403 86 37 strategy strategy NOUN fbem-8403 86 38 assumptions assumption NOUN fbem-8403 86 39 are be AUX fbem-8403 86 40 correct correct ADJ fbem-8403 86 41 ; ; PUNCT fbem-8403 86 42 the the DET fbem-8403 86 43 second second NOUN fbem-8403 86 44 is be AUX fbem-8403 86 45 to to PART fbem-8403 86 46 purchase purchase VERB fbem-8403 86 47 from from ADP fbem-8403 86 48 both both DET fbem-8403 86 49 risk risk NOUN fbem-8403 86 50 provider provider NOUN fbem-8403 86 51 a a PRON fbem-8403 86 52 and and CCONJ fbem-8403 86 53 option option NOUN fbem-8403 86 54 supplier supplier NOUN fbem-8403 86 55 b b NOUN fbem-8403 86 56 , , PUNCT fbem-8403 86 57 and and CCONJ fbem-8403 86 58 proposition proposition NOUN fbem-8403 86 59 4 4 NUM fbem-8403 86 60 can can AUX fbem-8403 86 61 be be AUX fbem-8403 86 62 obtained obtain VERB fbem-8403 86 63 when when SCONJ fbem-8403 86 64 seeking seek VERB fbem-8403 86 65 the the DET fbem-8403 86 66 optimal optimal ADJ fbem-8403 86 67 order order NOUN fbem-8403 86 68 quantity quantity NOUN fbem-8403 86 69 . . PUNCT fbem-8403 87 1 proposition proposition NOUN fbem-8403 87 2 4 4 NUM fbem-8403 87 3 : : PUNCT fbem-8403 87 4 if if SCONJ fbem-8403 87 5 the the DET fbem-8403 87 6 optimal optimal ADJ fbem-8403 87 7 strategy strategy NOUN fbem-8403 87 8 of of ADP fbem-8403 87 9 the the DET fbem-8403 87 10 retailer retailer NOUN fbem-8403 87 11 is be AUX fbem-8403 87 12 to to PART fbem-8403 87 13 order order VERB fbem-8403 87 14 from from ADP fbem-8403 87 15 𝐹 𝐹 PRON fbem-8403 87 16 a a DET fbem-8403 87 17 single single ADJ fbem-8403 87 18 source source NOUN fbem-8403 87 19 , , PUNCT fbem-8403 87 20 that that ADV fbem-8403 87 21 is is ADV fbem-8403 87 22 , , PUNCT fbem-8403 87 23 only only ADV fbem-8403 87 24 order order VERB fbem-8403 87 25 unit unit NOUN fbem-8403 87 26 goods good NOUN fbem-8403 87 27 from from ADP fbem-8403 87 28 risk risk NOUN fbem-8403 87 29 supplier supplier NOUN fbem-8403 87 30 a a PRON fbem-8403 87 31 ; ; PUNCT fbem-8403 87 32 if if SCONJ fbem-8403 87 33 so so ADV fbem-8403 87 34 , , PUNCT fbem-8403 87 35 the the DET fbem-8403 87 36 retailer retailer NOUN fbem-8403 87 37 's 's PART fbem-8403 87 38 𝐹 𝐹 PROPN fbem-8403 87 39 optimal optimal ADJ fbem-8403 87 40 strategy strategy NOUN fbem-8403 87 41 is be AUX fbem-8403 87 42 a a DET fbem-8403 87 43 dual dual ADJ fbem-8403 87 44 - - PUNCT fbem-8403 87 45 source source NOUN fbem-8403 87 46 ordering ordering NOUN fbem-8403 87 47 strategy strategy NOUN fbem-8403 87 48 π‘„βˆ— π‘„βˆ— PUNCT fbem-8403 88 1 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 88 2 , , PUNCT fbem-8403 88 3 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 88 4 π‘žβˆ—. π‘žβˆ—. X fbem-8403 88 5 proof proof NOUN fbem-8403 88 6 : : PUNCT fbem-8403 88 7 π‘ž π‘ž PROPN fbem-8403 88 8 0 0 PROPN fbem-8403 88 9 , , PUNCT fbem-8403 88 10 𝑄 𝑄 PROPN fbem-8403 88 11 0 0 NUM fbem-8403 88 12 . . PUNCT fbem-8403 89 1 according accord VERB fbem-8403 89 2 to to ADP fbem-8403 89 3 equation equation NOUN fbem-8403 89 4 ( ( PUNCT fbem-8403 89 5 8) 8) NUM fbem-8403 89 6 , , PUNCT fbem-8403 89 7 it it PRON fbem-8403 89 8 is be AUX fbem-8403 89 9 πœ† πœ† DET fbem-8403 89 10 0 0 NUM fbem-8403 89 11 , , PUNCT fbem-8403 89 12 πœ† πœ† ADP fbem-8403 89 13 0substituted 0substitute VERB fbem-8403 89 14 into into ADP fbem-8403 89 15 ( ( PUNCT fbem-8403 89 16 3)(4 3)(4 NUM fbem-8403 89 17 ): ): PUNCT fbem-8403 89 18 𝑃 𝑃 NOUN fbem-8403 89 19 β„Ž β„Ž NOUN fbem-8403 89 20 𝑏 𝑏 NOUN fbem-8403 89 21 𝐹 𝐹 NOUN fbem-8403 89 22 π‘₯ π‘₯ NOUN fbem-8403 89 23 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 89 24 𝐹 𝐹 PROPN fbem-8403 89 25 β„Ž β„Ž ADP fbem-8403 89 26 𝑐 𝑐 PROPN fbem-8403 89 27 πœ‡ πœ‡ ADP fbem-8403 89 28 0 0 NUM fbem-8403 89 29 𝑃 𝑃 NOUN fbem-8403 89 30 𝑐 𝑐 NOUN fbem-8403 89 31 𝑏 𝑏 NOUN fbem-8403 90 1 𝐹 𝐹 PROPN fbem-8403 90 2 𝑐 𝑐 PROPN fbem-8403 90 3 πœ† πœ† ADP fbem-8403 90 4 0 0 NUM fbem-8403 90 5 the the DET fbem-8403 90 6 solution solution NOUN fbem-8403 90 7 can can AUX fbem-8403 90 8 be be AUX fbem-8403 90 9 obtained obtain VERB fbem-8403 90 10 πœ† πœ† PRON fbem-8403 90 11 𝑐 𝑐 PROPN fbem-8403 90 12 𝑃 𝑃 PROPN fbem-8403 90 13 𝑐 𝑐 NOUN fbem-8403 90 14 𝑏 𝑏 NOUN fbem-8403 91 1 𝐹 𝐹 PROPN fbem-8403 91 2 π‘₯ π‘₯ PROPN fbem-8403 91 3 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 91 4 0 0 NUM fbem-8403 91 5 , , PUNCT fbem-8403 91 6 reduced reduce VERB fbem-8403 91 7 to to ADP fbem-8403 91 8 . . PUNCT fbem-8403 92 1 𝐹 𝐹 PRON fbem-8403 93 1 π‘₯ π‘₯ INTJ fbem-8403 93 2 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 93 3 . . PUNCT fbem-8403 94 1 if if SCONJ fbem-8403 94 2 , , PUNCT fbem-8403 94 3 π‘ž π‘ž PROPN fbem-8403 94 4 0 0 NUM fbem-8403 94 5 , , PUNCT fbem-8403 94 6 𝑄 𝑄 PROPN fbem-8403 94 7 0 0 PUNCT fbem-8403 94 8 then then ADV fbem-8403 94 9 q q X fbem-8403 94 10 satisfies satisfie NOUN fbem-8403 94 11 equation equation NOUN fbem-8403 94 12 ( ( PUNCT fbem-8403 94 13 5 5 NUM fbem-8403 94 14 ) ) PUNCT fbem-8403 94 15 , , PUNCT fbem-8403 94 16 substitution substitution NOUN fbem-8403 94 17 yields yield NOUN fbem-8403 94 18 𝐹 𝐹 PROPN fbem-8403 94 19 π‘₯ π‘₯ NOUN fbem-8403 94 20 𝑑π‘₯ 𝑑π‘₯ VERB fbem-8403 94 21 . . PUNCT fbem-8403 95 1 then then ADV fbem-8403 95 2 simplify simplify VERB fbem-8403 95 3 to to PART fbem-8403 95 4 get get VERB fbem-8403 95 5 𝐹 𝐹 PRON fbem-8403 95 6 . . PUNCT fbem-8403 96 1 so so ADV fbem-8403 96 2 , , PUNCT fbem-8403 96 3 at at ADP fbem-8403 96 4 that that DET fbem-8403 96 5 time time NOUN fbem-8403 96 6 , , PUNCT fbem-8403 96 7 retailers retailer NOUN fbem-8403 96 8 used use VERB fbem-8403 96 9 single single ADJ fbem-8403 96 10 - - PUNCT fbem-8403 96 11 source source NOUN fbem-8403 96 12 𝐹 𝐹 PROPN fbem-8403 96 13 ordering ordering NOUN fbem-8403 96 14 . . PUNCT fbem-8403 97 1 if if SCONJ fbem-8403 97 2 , , PUNCT fbem-8403 97 3 according accord VERB fbem-8403 97 4 to to ADP fbem-8403 97 5 𝐹 𝐹 PROPN fbem-8403 97 6 proposition proposition NOUN fbem-8403 97 7 3 3 NUM fbem-8403 97 8 , , PUNCT fbem-8403 97 9 it it PRON fbem-8403 97 10 can can AUX fbem-8403 97 11 be be AUX fbem-8403 97 12 seen see VERB fbem-8403 97 13 that that SCONJ fbem-8403 97 14 the the DET fbem-8403 97 15 situation situation NOUN fbem-8403 97 16 does do AUX fbem-8403 97 17 not not PART fbem-8403 97 18 exist exist VERB fbem-8403 97 19 , , PUNCT fbem-8403 97 20 so so ADV fbem-8403 97 21 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 97 22 0 0 NUM fbem-8403 97 23 , , PUNCT fbem-8403 97 24 π‘„βˆ— π‘„βˆ— PUNCT fbem-8403 98 1 0only 0only ADV fbem-8403 98 2 there there PRON fbem-8403 98 3 is be VERB fbem-8403 98 4 , , PUNCT fbem-8403 98 5 that that PRON fbem-8403 98 6 is be AUX fbem-8403 98 7 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 98 8 0 0 NUM fbem-8403 98 9 , , PUNCT fbem-8403 98 10 π‘„βˆ— π‘„βˆ— NUM fbem-8403 98 11 0 0 NUM fbem-8403 98 12 , , PUNCT fbem-8403 98 13 the the DET fbem-8403 98 14 retailer retailer NOUN fbem-8403 98 15 adopts adopt VERB fbem-8403 98 16 a a DET fbem-8403 98 17 dualsource dualsource NOUN fbem-8403 98 18 purchasing purchasing NOUN fbem-8403 98 19 strategy strategy NOUN fbem-8403 98 20 . . PUNCT fbem-8403 99 1 nature nature NOUN fbem-8403 99 2 2 2 NUM fbem-8403 99 3 : : PUNCT fbem-8403 99 4 when when SCONJ fbem-8403 99 5 the the DET fbem-8403 99 6 strike strike NOUN fbem-8403 99 7 price price NOUN fbem-8403 99 8 of of ADP fbem-8403 99 9 an an DET fbem-8403 99 10 option option NOUN fbem-8403 99 11 contract contract NOUN fbem-8403 99 12 increases increase NOUN fbem-8403 99 13 or or CCONJ fbem-8403 99 14 the the DET fbem-8403 99 15 purchase purchase NOUN fbem-8403 99 16 price price NOUN fbem-8403 99 17 of of ADP fbem-8403 99 18 an an DET fbem-8403 99 19 option option NOUN fbem-8403 99 20 unit unit NOUN fbem-8403 99 21 decreases decrease VERB fbem-8403 99 22 , , PUNCT fbem-8403 99 23 the the DET fbem-8403 99 24 retailer retailer NOUN fbem-8403 99 25 increases increase VERB fbem-8403 99 26 the the DET fbem-8403 99 27 likelihood likelihood NOUN fbem-8403 99 28 that that SCONJ fbem-8403 99 29 the the DET fbem-8403 99 30 retailer retailer NOUN fbem-8403 99 31 will will AUX fbem-8403 99 32 order order VERB fbem-8403 99 33 from from ADP fbem-8403 99 34 two two NUM fbem-8403 99 35 suppliers supplier NOUN fbem-8403 99 36 at at ADP fbem-8403 99 37 the the DET fbem-8403 99 38 same same ADJ fbem-8403 99 39 time time NOUN fbem-8403 99 40 . . PUNCT fbem-8403 100 1 it it PRON fbem-8403 100 2 can can AUX fbem-8403 100 3 be be AUX fbem-8403 100 4 seen see VERB fbem-8403 100 5 from from ADP fbem-8403 100 6 the the DET fbem-8403 100 7 condition condition NOUN fbem-8403 100 8 of of ADP fbem-8403 100 9 proposition proposition NOUN fbem-8403 100 10 4 4 NUM fbem-8403 100 11 that that SCONJ fbem-8403 100 12 when when SCONJ fbem-8403 100 13 𝑐 𝑐 PROPN fbem-8403 100 14 increasing increase VERB fbem-8403 100 15 , , PUNCT fbem-8403 100 16 𝑐 𝑐 NOUN fbem-8403 100 17 decreasing decrease VERB fbem-8403 100 18 , , PUNCT fbem-8403 100 19 decreasing decrease VERB fbem-8403 100 20 , , PUNCT fbem-8403 100 21 the the DET fbem-8403 100 22 probability probability NOUN fbem-8403 100 23 of of ADP fbem-8403 100 24 𝐹 𝐹 PROPN fbem-8403 100 25 decreases decrease VERB fbem-8403 100 26 , , PUNCT fbem-8403 100 27 and and CCONJ fbem-8403 100 28 the the DET fbem-8403 100 29 retailer retailer NOUN fbem-8403 100 30 increases increase VERB fbem-8403 100 31 the the DET fbem-8403 100 32 possibility possibility NOUN fbem-8403 100 33 of of ADP fbem-8403 100 34 adopting adopt VERB fbem-8403 100 35 a a DET fbem-8403 100 36 dual dual ADJ fbem-8403 100 37 source source NOUN fbem-8403 100 38 purchasing purchasing NOUN fbem-8403 100 39 strategy strategy NOUN fbem-8403 100 40 . . PUNCT fbem-8403 101 1 nature nature NOUN fbem-8403 101 2 3 3 NUM fbem-8403 101 3 : : PUNCT fbem-8403 101 4 when when SCONJ fbem-8403 101 5 retailers retailer NOUN fbem-8403 101 6 adopt adopt VERB fbem-8403 101 7 a a DET fbem-8403 101 8 dual dual ADJ fbem-8403 101 9 - - PUNCT fbem-8403 101 10 source source NOUN fbem-8403 101 11 procurement procurement NOUN fbem-8403 101 12 strategy strategy NOUN fbem-8403 101 13 , , PUNCT fbem-8403 101 14 ( ( PUNCT fbem-8403 101 15 1 1 X fbem-8403 101 16 ) ) PUNCT fbem-8403 101 17 the the DET fbem-8403 101 18 optimal optimal ADJ fbem-8403 101 19 order order NOUN fbem-8403 101 20 quantity quantity NOUN fbem-8403 101 21 π‘„βˆ— π‘„βˆ— X fbem-8403 102 1 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 102 2 increases increase NOUN fbem-8403 102 3 ( ( PUNCT fbem-8403 102 4 increases increase NOUN fbem-8403 102 5 ) ) PUNCT fbem-8403 102 6 with with ADP fbem-8403 102 7 the the DET fbem-8403 102 8 increase increase NOUN fbem-8403 102 9 of of ADP fbem-8403 102 10 retail retail ADJ fbem-8403 102 11 price price NOUN fbem-8403 102 12 and and CCONJ fbem-8403 102 13 out out ADP fbem-8403 102 14 - - PUNCT fbem-8403 102 15 of of ADP fbem-8403 102 16 - - PUNCT fbem-8403 102 17 stock stock NOUN fbem-8403 102 18 cost cost NOUN fbem-8403 102 19 , , PUNCT fbem-8403 102 20 respectively respectively ADV fbem-8403 102 21 ; ; PUNCT fbem-8403 102 22 ( ( PUNCT fbem-8403 102 23 2 2 X fbem-8403 102 24 ) ) PUNCT fbem-8403 102 25 π‘„βˆ— π‘„βˆ— PROPN fbem-8403 103 1 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 103 2 increases increase VERB fbem-8403 103 3 ( ( PUNCT fbem-8403 103 4 decreasing decrease VERB fbem-8403 103 5 ) ) PUNCT fbem-8403 103 6 as as ADP fbem-8403 103 7 the the DET fbem-8403 103 8 option option NOUN fbem-8403 103 9 provider provider NOUN fbem-8403 103 10 's 's PART fbem-8403 103 11 option option NOUN fbem-8403 103 12 strike strike NOUN fbem-8403 103 13 price price NOUN fbem-8403 103 14 and and CCONJ fbem-8403 103 15 option option NOUN fbem-8403 103 16 unit unit NOUN fbem-8403 103 17 price price NOUN fbem-8403 103 18 increase increase NOUN fbem-8403 103 19 ; ; PUNCT fbem-8403 103 20 ( ( PUNCT fbem-8403 103 21 3 3 X fbem-8403 103 22 ) ) PUNCT fbem-8403 103 23 π‘„βˆ— π‘„βˆ— X fbem-8403 104 1 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 104 2 decreasing decrease VERB fbem-8403 104 3 ( ( PUNCT fbem-8403 104 4 increasing increase VERB fbem-8403 104 5 ) ) PUNCT fbem-8403 104 6 as as ADP fbem-8403 104 7 the the DET fbem-8403 104 8 unit unit NOUN fbem-8403 104 9 price price NOUN fbem-8403 104 10 of of ADP fbem-8403 104 11 the the DET fbem-8403 104 12 risk risk NOUN fbem-8403 104 13 supplier supplier NOUN fbem-8403 104 14 increases increase NOUN fbem-8403 104 15 . . PUNCT fbem-8403 105 1 proof proof NOUN fbem-8403 105 2 : : PUNCT fbem-8403 105 3 because because SCONJ fbem-8403 105 4 of of ADP fbem-8403 105 5 the the DET fbem-8403 105 6 complexity complexity NOUN fbem-8403 105 7 of of ADP fbem-8403 105 8 the the DET fbem-8403 105 9 problem problem NOUN fbem-8403 105 10 , , PUNCT fbem-8403 105 11 the the DET fbem-8403 105 12 optimal optimal ADJ fbem-8403 105 13 order order NOUN fbem-8403 105 14 quantity quantity NOUN fbem-8403 105 15 is be AUX fbem-8403 105 16 an an DET fbem-8403 105 17 implicit implicit ADJ fbem-8403 105 18 solution solution NOUN fbem-8403 105 19 , , PUNCT fbem-8403 105 20 and and CCONJ fbem-8403 105 21 it it PRON fbem-8403 105 22 can can AUX fbem-8403 105 23 be be AUX fbem-8403 105 24 assumed assume VERB fbem-8403 105 25 that that SCONJ fbem-8403 105 26 the the DET fbem-8403 105 27 probability probability NOUN fbem-8403 105 28 of of ADP fbem-8403 105 29 interruption interruption NOUN fbem-8403 105 30 risk risk NOUN fbem-8403 105 31 follows follow VERB fbem-8403 105 32 a a DET fbem-8403 105 33 uniform uniform ADJ fbem-8403 105 34 distribution distribution NOUN fbem-8403 105 35 for for ADP fbem-8403 105 36 ease ease NOUN fbem-8403 105 37 of of ADP fbem-8403 105 38 calculation，π‘₯~π‘ˆ calculation，π‘₯~π‘ˆ PROPN fbem-8403 105 39 πœ‡ πœ‡ ADP fbem-8403 105 40 π‘Ž π‘Ž X fbem-8403 105 41 , , PUNCT fbem-8403 105 42 πœ‡ πœ‡ ADP fbem-8403 105 43 π‘Ž π‘Ž X fbem-8403 105 44 , , PUNCT fbem-8403 105 45 𝐹 𝐹 PROPN fbem-8403 106 1 π‘₯ π‘₯ INTJ fbem-8403 106 2 ， ， ADV fbem-8403 107 1 什 什 NOUN fbem-8403 107 2 0 0 PUNCT fbem-8403 108 1 ， ， PROPN fbem-8403 108 2 0 0 NUM fbem-8403 108 3 . . SYM fbem-8403 108 4 111 111 NUM fbem-8403 108 5 simplification simplification NOUN fbem-8403 108 6 is be AUX fbem-8403 108 7 available available ADJ fbem-8403 108 8 : : PUNCT fbem-8403 108 9 π‘š π‘š X fbem-8403 108 10 𝑑 𝑑 PART fbem-8403 108 11 4π‘Žπ‘”πœ‡ 4π‘Žπ‘”πœ‡ NOUN fbem-8403 108 12 0 0 NUM fbem-8403 108 13 π‘Ž π‘Ž PRON fbem-8403 108 14 πœ‡ πœ‡ X fbem-8403 108 15 ( ( PUNCT fbem-8403 108 16 9 9 NUM fbem-8403 108 17 ) ) PUNCT fbem-8403 108 18 solving solve VERB fbem-8403 108 19 the the DET fbem-8403 108 20 above above ADJ fbem-8403 108 21 binary binary ADJ fbem-8403 108 22 primary primary ADJ fbem-8403 108 23 equation equation NOUN fbem-8403 108 24 yields yield VERB fbem-8403 108 25 the the DET fbem-8403 108 26 optimal optimal ADJ fbem-8403 108 27 order order NOUN fbem-8403 108 28 quantity quantity NOUN fbem-8403 108 29 of of ADP fbem-8403 108 30 : : PUNCT fbem-8403 108 31 ⎩ ⎩ NUM fbem-8403 108 32 βŽͺ βŽͺ NOUN fbem-8403 108 33 ⎨ ⎨ ADJ fbem-8403 108 34 βŽͺ βŽͺ NOUN fbem-8403 108 35 ⎧ ⎧ PROPN fbem-8403 108 36 𝑄 𝑄 PROPN fbem-8403 108 37 βˆ— βˆ— VERB fbem-8403 108 38 √ √ VERB fbem-8403 108 39 π‘žβˆ— π‘žβˆ— PROPN fbem-8403 108 40 𝐷 𝐷 PROPN fbem-8403 108 41 π‘Ž π‘Ž NOUN fbem-8403 108 42 πœ‡ πœ‡ NOUN fbem-8403 108 43 √ √ NOUN fbem-8403 108 44 thereinto thereinto ADP fbem-8403 108 45 π‘š π‘š ADP fbem-8403 108 46 𝑃 𝑃 NOUN fbem-8403 108 47 𝑏 𝑏 PROPN fbem-8403 108 48 𝑐 𝑐 PROPN fbem-8403 108 49 , , PUNCT fbem-8403 108 50 𝑑 𝑑 PROPN fbem-8403 108 51 𝑐 𝑐 PROPN fbem-8403 108 52 β„Ž β„Ž PROPN fbem-8403 108 53 , , PUNCT fbem-8403 108 54 𝑔 𝑔 PROPN fbem-8403 108 55 𝑐 𝑐 PROPN fbem-8403 108 56 β„Ž β„Ž PROPN fbem-8403 108 57 。 。 PROPN fbem-8403 108 58 the the DET fbem-8403 108 59 above above ADJ fbem-8403 108 60 formula formula NOUN fbem-8403 108 61 derives derive VERB fbem-8403 108 62 the the DET fbem-8403 108 63 risk risk NOUN fbem-8403 108 64 supplier supplier NOUN fbem-8403 108 65 cost cost NOUN fbem-8403 108 66 , , PUNCT fbem-8403 108 67 option option NOUN fbem-8403 108 68 strike strike NOUN fbem-8403 108 69 price price NOUN fbem-8403 108 70 , , PUNCT fbem-8403 108 71 option option NOUN fbem-8403 108 72 purchase purchase NOUN fbem-8403 108 73 price price NOUN fbem-8403 108 74 , , PUNCT fbem-8403 108 75 sales sale NOUN fbem-8403 108 76 price price NOUN fbem-8403 108 77 , , PUNCT fbem-8403 108 78 out out ADV fbem-8403 108 79 - - PUNCT fbem-8403 108 80 of of ADP fbem-8403 108 81 - - PUNCT fbem-8403 108 82 stock stock NOUN fbem-8403 108 83 cost cost NOUN fbem-8403 108 84 and and CCONJ fbem-8403 108 85 commodity commodity NOUN fbem-8403 108 86 residual residual ADJ fbem-8403 108 87 value value NOUN fbem-8403 108 88 respectively respectively ADV fbem-8403 108 89 to to PART fbem-8403 108 90 obtain obtain VERB fbem-8403 108 91 property property NOUN fbem-8403 108 92 3 3 NUM fbem-8403 108 93 . . NOUN fbem-8403 108 94 4 4 NUM fbem-8403 108 95 . . X fbem-8403 108 96 conclusion conclusion VERB fbem-8403 108 97 this this DET fbem-8403 108 98 paper paper NOUN fbem-8403 108 99 examines examine VERB fbem-8403 108 100 how how SCONJ fbem-8403 108 101 retailers retailer NOUN fbem-8403 108 102 can can AUX fbem-8403 108 103 adopt adopt VERB fbem-8403 108 104 reasonable reasonable ADJ fbem-8403 108 105 ordering ordering NOUN fbem-8403 108 106 strategies strategy NOUN fbem-8403 108 107 to to PART fbem-8403 108 108 resist resist VERB fbem-8403 108 109 the the DET fbem-8403 108 110 risk risk NOUN fbem-8403 108 111 of of ADP fbem-8403 108 112 supply supply NOUN fbem-8403 108 113 disruption disruption NOUN fbem-8403 108 114 in in ADP fbem-8403 108 115 the the DET fbem-8403 108 116 face face NOUN fbem-8403 108 117 of of ADP fbem-8403 108 118 different different ADJ fbem-8403 108 119 market market NOUN fbem-8403 108 120 needs need NOUN fbem-8403 108 121 when when SCONJ fbem-8403 108 122 they they PRON fbem-8403 108 123 expect expect VERB fbem-8403 108 124 to to PART fbem-8403 108 125 maximize maximize VERB fbem-8403 108 126 profits profit NOUN fbem-8403 108 127 . . PUNCT fbem-8403 109 1 through through ADP fbem-8403 109 2 theoretical theoretical ADJ fbem-8403 109 3 and and CCONJ fbem-8403 109 4 numerical numerical ADJ fbem-8403 109 5 analysis analysis NOUN fbem-8403 109 6 , , PUNCT fbem-8403 109 7 the the DET fbem-8403 109 8 conclusions conclusion NOUN fbem-8403 109 9 are be AUX fbem-8403 109 10 as as SCONJ fbem-8403 109 11 follows follow VERB fbem-8403 109 12 : : PUNCT fbem-8403 109 13 ( ( PUNCT fbem-8403 109 14 1 1 X fbem-8403 109 15 ) ) PUNCT fbem-8403 109 16 changes change NOUN fbem-8403 109 17 in in ADP fbem-8403 109 18 supply supply NOUN fbem-8403 109 19 disruption disruption NOUN fbem-8403 109 20 risk risk NOUN fbem-8403 109 21 will will AUX fbem-8403 109 22 revere revere VERB fbem-8403 109 23 retailers retailer NOUN fbem-8403 109 24 ' ' PART fbem-8403 109 25 purchasing purchasing NOUN fbem-8403 109 26 strategies strategy NOUN fbem-8403 109 27 and and CCONJ fbem-8403 109 28 reduce reduce VERB fbem-8403 109 29 their their PRON fbem-8403 109 30 expected expect VERB fbem-8403 109 31 profits profit NOUN fbem-8403 109 32 . . PUNCT fbem-8403 110 1 adding add VERB fbem-8403 110 2 an an DET fbem-8403 110 3 option option NOUN fbem-8403 110 4 provider provider NOUN fbem-8403 110 5 under under ADP fbem-8403 110 6 certain certain ADJ fbem-8403 110 7 conditions condition NOUN fbem-8403 110 8 can can AUX fbem-8403 110 9 effectively effectively ADV fbem-8403 110 10 reduce reduce VERB fbem-8403 110 11 losses loss NOUN fbem-8403 110 12 caused cause VERB fbem-8403 110 13 by by ADP fbem-8403 110 14 the the DET fbem-8403 110 15 risk risk NOUN fbem-8403 110 16 of of ADP fbem-8403 110 17 supply supply NOUN fbem-8403 110 18 disruption disruption NOUN fbem-8403 110 19 , , PUNCT fbem-8403 110 20 but but CCONJ fbem-8403 110 21 this this PRON fbem-8403 110 22 is be AUX fbem-8403 110 23 not not PART fbem-8403 110 24 always always ADV fbem-8403 110 25 better well ADJ fbem-8403 110 26 than than ADP fbem-8403 110 27 single single ADJ fbem-8403 110 28 - - PUNCT fbem-8403 110 29 source source NOUN fbem-8403 110 30 procurement procurement NOUN fbem-8403 110 31 . . PUNCT fbem-8403 111 1 ( ( PUNCT fbem-8403 111 2 2 2 X fbem-8403 111 3 ) ) PUNCT fbem-8403 111 4 the the DET fbem-8403 111 5 selection selection NOUN fbem-8403 111 6 of of ADP fbem-8403 111 7 suppliers supplier NOUN fbem-8403 111 8 depends depend VERB fbem-8403 111 9 on on ADP fbem-8403 111 10 the the DET fbem-8403 111 11 value value NOUN fbem-8403 111 12 relationship relationship NOUN fbem-8403 111 13 between between ADP fbem-8403 111 14 option option NOUN fbem-8403 111 15 price price NOUN fbem-8403 111 16 , , PUNCT fbem-8403 111 17 commodity commodity NOUN fbem-8403 111 18 sales sale NOUN fbem-8403 111 19 price price NOUN fbem-8403 111 20 , , PUNCT fbem-8403 111 21 out out ADV fbem-8403 111 22 - - PUNCT fbem-8403 111 23 of of ADP fbem-8403 111 24 - - PUNCT fbem-8403 111 25 stock stock NOUN fbem-8403 111 26 loss loss NOUN fbem-8403 111 27 and and CCONJ fbem-8403 111 28 supply supply NOUN fbem-8403 111 29 interruption interruption NOUN fbem-8403 111 30 risk risk NOUN fbem-8403 111 31 . . PUNCT fbem-8403 112 1 when when SCONJ fbem-8403 112 2 the the DET fbem-8403 112 3 option option NOUN fbem-8403 112 4 strike strike NOUN fbem-8403 112 5 price price NOUN fbem-8403 112 6 and and CCONJ fbem-8403 112 7 the the DET fbem-8403 112 8 option option NOUN fbem-8403 112 9 purchase purchase NOUN fbem-8403 112 10 price price NOUN fbem-8403 112 11 gradually gradually ADV fbem-8403 112 12 decrease decrease VERB fbem-8403 112 13 , , PUNCT fbem-8403 112 14 or or CCONJ fbem-8403 112 15 the the DET fbem-8403 112 16 commodity commodity NOUN fbem-8403 112 17 price price NOUN fbem-8403 112 18 sales sale NOUN fbem-8403 112 19 grid grid NOUN fbem-8403 112 20 gradually gradually ADV fbem-8403 112 21 increases increase VERB fbem-8403 112 22 , , PUNCT fbem-8403 112 23 the the DET fbem-8403 112 24 retailer retailer NOUN fbem-8403 112 25 moves move VERB fbem-8403 112 26 to to ADP fbem-8403 112 27 the the DET fbem-8403 112 28 same same ADJ fbem-8403 112 29 time time NOUN fbem-8403 112 30 the the DET fbem-8403 112 31 likelihood likelihood NOUN fbem-8403 112 32 of of ADP fbem-8403 112 33 purchasing purchase VERB fbem-8403 112 34 from from ADP fbem-8403 112 35 two two NUM fbem-8403 112 36 suppliers supplier NOUN fbem-8403 112 37 increases increase NOUN fbem-8403 112 38 . . PUNCT fbem-8403 113 1 ( ( PUNCT fbem-8403 113 2 3 3 X fbem-8403 113 3 ) ) PUNCT fbem-8403 113 4 for for ADP fbem-8403 113 5 retailers retailer NOUN fbem-8403 113 6 , , PUNCT fbem-8403 113 7 only only ADV fbem-8403 113 8 ordering order VERB fbem-8403 113 9 from from ADP fbem-8403 113 10 option option NOUN fbem-8403 113 11 suppliers supplier NOUN fbem-8403 113 12 , , PUNCT fbem-8403 113 13 reducing reduce VERB fbem-8403 113 14 inventory inventory NOUN fbem-8403 113 15 costs cost NOUN fbem-8403 113 16 and and CCONJ fbem-8403 113 17 resisting resist VERB fbem-8403 113 18 the the DET fbem-8403 113 19 risk risk NOUN fbem-8403 113 20 of of ADP fbem-8403 113 21 supply supply NOUN fbem-8403 113 22 interruption interruption NOUN fbem-8403 113 23 is be AUX fbem-8403 113 24 not not PART fbem-8403 113 25 the the DET fbem-8403 113 26 optimal optimal ADJ fbem-8403 113 27 strategy strategy NOUN fbem-8403 113 28 ; ; PUNCT fbem-8403 113 29 for for ADP fbem-8403 113 30 options option NOUN fbem-8403 113 31 providers provider NOUN fbem-8403 113 32 , , PUNCT fbem-8403 113 33 offering offer VERB fbem-8403 113 34 options option NOUN fbem-8403 113 35 contracts contract NOUN fbem-8403 113 36 at at ADP fbem-8403 113 37 lower low ADJ fbem-8403 113 38 prices price NOUN fbem-8403 113 39 does do AUX fbem-8403 113 40 not not PART fbem-8403 113 41 necessarily necessarily ADV fbem-8403 113 42 increase increase VERB fbem-8403 113 43 retailers retailer NOUN fbem-8403 113 44 ' ' PART fbem-8403 113 45 orders order NOUN fbem-8403 113 46 ; ; PUNCT fbem-8403 113 47 for for ADP fbem-8403 113 48 at at ADP fbem-8403 113 49 - - PUNCT fbem-8403 113 50 risk risk NOUN fbem-8403 113 51 suppliers supplier NOUN fbem-8403 113 52 , , PUNCT fbem-8403 113 53 efforts effort NOUN fbem-8403 113 54 to to PART fbem-8403 113 55 improve improve VERB fbem-8403 113 56 their their PRON fbem-8403 113 57 capabilities capability NOUN fbem-8403 113 58 and and CCONJ fbem-8403 113 59 reduce reduce VERB fbem-8403 113 60 the the DET fbem-8403 113 61 risk risk NOUN fbem-8403 113 62 of of ADP fbem-8403 113 63 disruption disruption NOUN fbem-8403 113 64 caused cause VERB fbem-8403 113 65 by by ADP fbem-8403 113 66 endogenous endogenous ADJ fbem-8403 113 67 causes cause NOUN fbem-8403 113 68 will will AUX fbem-8403 113 69 increase increase VERB fbem-8403 113 70 the the DET fbem-8403 113 71 number number NOUN fbem-8403 113 72 of of ADP fbem-8403 113 73 orders order NOUN fbem-8403 113 74 retailers retailer NOUN fbem-8403 113 75 place place NOUN fbem-8403 113 76 from from ADP fbem-8403 113 77 them they PRON fbem-8403 113 78 . . PUNCT fbem-8403 114 1 this this DET fbem-8403 114 2 paper paper NOUN fbem-8403 114 3 only only ADV fbem-8403 114 4 considers consider VERB fbem-8403 114 5 the the DET fbem-8403 114 6 impact impact NOUN fbem-8403 114 7 of of ADP fbem-8403 114 8 supply supply NOUN fbem-8403 114 9 - - PUNCT fbem-8403 114 10 side side NOUN fbem-8403 114 11 uncertainty uncertainty NOUN fbem-8403 114 12 on on ADP fbem-8403 114 13 retailers retailer NOUN fbem-8403 114 14 ' ' PART fbem-8403 114 15 ordering ordering NOUN fbem-8403 114 16 strategies strategy NOUN fbem-8403 114 17 and and CCONJ fbem-8403 114 18 does do AUX fbem-8403 114 19 not not PART fbem-8403 114 20 consider consider VERB fbem-8403 114 21 the the DET fbem-8403 114 22 uncertainty uncertainty NOUN fbem-8403 114 23 on on ADP fbem-8403 114 24 the the DET fbem-8403 114 25 demand demand NOUN fbem-8403 114 26 side side NOUN fbem-8403 114 27 , , PUNCT fbem-8403 114 28 which which PRON fbem-8403 114 29 is be AUX fbem-8403 114 30 also also ADV fbem-8403 114 31 the the DET fbem-8403 114 32 next next ADJ fbem-8403 114 33 research research NOUN fbem-8403 114 34 content content NOUN fbem-8403 114 35 . . PUNCT fbem-8403 115 1 references reference NOUN fbem-8403 115 2 [ [ X fbem-8403 115 3 1 1 X fbem-8403 115 4 ] ] PUNCT fbem-8403 115 5 rajesh rajesh PROPN fbem-8403 115 6 r r PROPN fbem-8403 115 7 , , PUNCT fbem-8403 115 8 ravi ravi NOUN fbem-8403 115 9 v. v. ADP fbem-8403 115 10 modeling model VERB fbem-8403 115 11 enablers enabler NOUN fbem-8403 115 12 of of ADP fbem-8403 115 13 supply supply NOUN fbem-8403 115 14 chain chain NOUN fbem-8403 115 15 risk risk NOUN fbem-8403 115 16 mitigation mitigation NOUN fbem-8403 115 17 in in ADP fbem-8403 115 18 electronic electronic ADJ fbem-8403 115 19 supply supply NOUN fbem-8403 115 20 chains chain NOUN fbem-8403 115 21 : : PUNCT fbem-8403 115 22 a a DET fbem-8403 115 23 grey grey ADJ fbem-8403 115 24 – – PUNCT fbem-8403 115 25 dematel dematel NOUN fbem-8403 115 26 approach[j approach[j PROPN fbem-8403 115 27 ] ] X fbem-8403 115 28 . . PUNCT fbem-8403 116 1 computers computer NOUN fbem-8403 116 2 & & CCONJ fbem-8403 116 3 industrial industrial ADJ fbem-8403 116 4 engineering engineering NOUN fbem-8403 116 5 , , PUNCT fbem-8403 116 6 2015 2015 NUM fbem-8403 116 7 , , PUNCT fbem-8403 116 8 87 87 NUM fbem-8403 116 9 , , PUNCT fbem-8403 116 10 126 126 NUM fbem-8403 116 11 - - SYM fbem-8403 116 12 139 139 NUM fbem-8403 116 13 . . PUNCT fbem-8403 117 1 [ [ X fbem-8403 117 2 2 2 X fbem-8403 117 3 ] ] PUNCT fbem-8403 117 4 schmitt schmitt PROPN fbem-8403 117 5 t t PROPN fbem-8403 117 6 g g PROPN fbem-8403 117 7 , , PUNCT fbem-8403 117 8 kumar kumar PROPN fbem-8403 117 9 s s PROPN fbem-8403 117 10 , , PUNCT fbem-8403 117 11 stecke stecke PROPN fbem-8403 117 12 k k PROPN fbem-8403 117 13 e e PROPN fbem-8403 117 14 , , PUNCT fbem-8403 117 15 et et PROPN fbem-8403 117 16 al al PROPN fbem-8403 117 17 . . PUNCT fbem-8403 118 1 mitigating mitigate VERB fbem-8403 118 2 disruptions disruption NOUN fbem-8403 118 3 in in ADP fbem-8403 118 4 a a DET fbem-8403 118 5 multi multi ADJ fbem-8403 118 6 - - ADJ fbem-8403 118 7 echelon echelon ADJ fbem-8403 118 8 supply supply NOUN fbem-8403 118 9 chain chain NOUN fbem-8403 118 10 using use VERB fbem-8403 118 11 adaptive adaptive ADJ fbem-8403 118 12 ordering[j ordering[j NOUN fbem-8403 118 13 ] ] PUNCT fbem-8403 118 14 . . PUNCT fbem-8403 119 1 omega omega NOUN fbem-8403 119 2 , , PUNCT fbem-8403 119 3 2017 2017 NUM fbem-8403 119 4 , , PUNCT fbem-8403 119 5 68:185 68:185 NUM fbem-8403 119 6 - - SYM fbem-8403 119 7 198 198 NUM fbem-8403 119 8 . . PUNCT fbem-8403 120 1 [ [ X fbem-8403 120 2 3 3 X fbem-8403 120 3 ] ] X fbem-8403 120 4 huang huang PROPN fbem-8403 120 5 ran run VERB fbem-8403 120 6 , , PUNCT fbem-8403 120 7 song song PROPN fbem-8403 120 8 yu yu PROPN fbem-8403 120 9 , , PUNCT fbem-8403 120 10 hu hu PROPN fbem-8403 120 11 liqin liqin PROPN fbem-8403 120 12 . . PUNCT fbem-8403 121 1 research research NOUN fbem-8403 121 2 on on ADP fbem-8403 121 3 supplier supplier NOUN fbem-8403 121 4 dependence dependence NOUN fbem-8403 121 5 and and CCONJ fbem-8403 121 6 default default NOUN fbem-8403 121 7 risk risk NOUN fbem-8403 121 8 based base VERB fbem-8403 121 9 on on ADP fbem-8403 121 10 supply supply NOUN fbem-8403 121 11 chain chain NOUN fbem-8403 121 12 revenue revenue NOUN fbem-8403 121 13 structure structure NOUN fbem-8403 121 14 analysis[j analysis[j PROPN fbem-8403 121 15 ] ] PUNCT fbem-8403 121 16 . . PUNCT fbem-8403 122 1 journal journal PROPN fbem-8403 122 2 of of ADP fbem-8403 122 3 industrial industrial ADJ fbem-8403 122 4 engineering engineering NOUN fbem-8403 122 5 and and CCONJ fbem-8403 122 6 engineering engineering NOUN fbem-8403 122 7 management management NOUN fbem-8403 122 8 , , PUNCT fbem-8403 122 9 2021 2021 NUM fbem-8403 122 10 , , PUNCT fbem-8403 122 11 35(06):183 35(06):183 NUM fbem-8403 122 12 - - SYM fbem-8403 122 13 193 193 NUM fbem-8403 122 14 . . PUNCT fbem-8403 123 1 [ [ X fbem-8403 123 2 4 4 NUM fbem-8403 123 3 ] ] PUNCT fbem-8403 123 4 arnt arnt PROPN fbem-8403 123 5 b b PROPN fbem-8403 123 6 , , PUNCT fbem-8403 123 7 otto otto PROPN fbem-8403 123 8 a. a. NOUN fbem-8403 123 9 the the DET fbem-8403 123 10 effect effect NOUN fbem-8403 123 11 of of ADP fbem-8403 123 12 multiple multiple ADJ fbem-8403 123 13 sourcing sourcing NOUN fbem-8403 123 14 and and CCONJ fbem-8403 123 15 bilateral bilateral ADJ fbem-8403 123 16 dependency dependency NOUN fbem-8403 123 17 on on ADP fbem-8403 123 18 buyer buyer NOUN fbem-8403 123 19 control control NOUN fbem-8403 123 20 in in ADP fbem-8403 123 21 industrial industrial ADJ fbem-8403 123 22 buyer buyer NOUN fbem-8403 123 23 - - PUNCT fbem-8403 123 24 seller seller NOUN fbem-8403 123 25 relationships[j relationships[j NOUN fbem-8403 123 26 ] ] PUNCT fbem-8403 123 27 . . PUNCT fbem-8403 124 1 int int NOUN fbem-8403 124 2 . . PUNCT fbem-8403 125 1 j. j. PROPN fbem-8403 125 2 of of ADP fbem-8403 125 3 procurement procurement PROPN fbem-8403 125 4 management management NOUN fbem-8403 125 5 , , PUNCT fbem-8403 125 6 2015 2015 NUM fbem-8403 125 7 , , PUNCT fbem-8403 125 8 8(4 8(4 NUM fbem-8403 125 9 ): ): PUNCT fbem-8403 125 10 441 441 NUM fbem-8403 125 11 - - NUM fbem-8403 125 12 456 456 NUM fbem-8403 125 13 . . PUNCT fbem-8403 126 1 [ [ X fbem-8403 126 2 5 5 X fbem-8403 126 3 ] ] PUNCT fbem-8403 126 4 xie xie PROPN fbem-8403 126 5 xia xia PROPN fbem-8403 126 6 , , PUNCT fbem-8403 126 7 dai dai PROPN fbem-8403 126 8 bin bin PROPN fbem-8403 126 9 , , PUNCT fbem-8403 126 10 cao cao PROPN fbem-8403 126 11 leyi leyi PROPN fbem-8403 126 12 . . PUNCT fbem-8403 127 1 dual dual ADJ fbem-8403 127 2 - - PUNCT fbem-8403 127 3 source source NOUN fbem-8403 127 4 procurement procurement NOUN fbem-8403 127 5 or or CCONJ fbem-8403 127 6 single single ADJ fbem-8403 127 7 - - PUNCT fbem-8403 127 8 source source NOUN fbem-8403 127 9 procurement procurement NOUN fbem-8403 127 10 : : PUNCT fbem-8403 127 11 analysis analysis NOUN fbem-8403 127 12 of of ADP fbem-8403 127 13 strategic strategic ADJ fbem-8403 127 14 procurement procurement NOUN fbem-8403 127 15 models model NOUN fbem-8403 127 16 under under ADP fbem-8403 127 17 responsible responsible ADJ fbem-8403 127 18 supply supply NOUN fbem-8403 127 19 chain[j chain[j PROPN fbem-8403 127 20 ] ] PUNCT fbem-8403 127 21 . . PUNCT fbem-8403 128 1 journal journal PROPN fbem-8403 128 2 of of ADP fbem-8403 128 3 industrial industrial ADJ fbem-8403 128 4 engineering engineering NOUN fbem-8403 128 5 and and CCONJ fbem-8403 128 6 engineering engineering NOUN fbem-8403 128 7 management management NOUN fbem-8403 128 8 , , PUNCT fbem-8403 128 9 2021 2021 NUM fbem-8403 128 10 , , PUNCT fbem-8403 128 11 35(06):194207 35(06):194207 NUM fbem-8403 128 12 . . PUNCT fbem-8403 129 1 [ [ X fbem-8403 129 2 6 6 NUM fbem-8403 129 3 ] ] X fbem-8403 129 4 niu niu PROPN fbem-8403 129 5 baozhuang baozhuang PROPN fbem-8403 129 6 , , PUNCT fbem-8403 129 7 xu xu PROPN fbem-8403 129 8 haotao haotao PROPN fbem-8403 129 9 , , PUNCT fbem-8403 129 10 li li PROPN fbem-8403 129 11 qiyang qiyang PROPN fbem-8403 129 12 , , PUNCT fbem-8403 129 13 et et PROPN fbem-8403 129 14 al al PROPN fbem-8403 129 15 . . PROPN fbem-8403 129 16 consider consider VERB fbem-8403 129 17 local local ADJ fbem-8403 129 18 substitution substitution NOUN fbem-8403 129 19 of of ADP fbem-8403 129 20 key key ADJ fbem-8403 129 21 imported import VERB fbem-8403 129 22 parts part NOUN fbem-8403 129 23 and and CCONJ fbem-8403 129 24 adjustment adjustment NOUN fbem-8403 129 25 of of ADP fbem-8403 129 26 procurement procurement NOUN fbem-8403 129 27 strategies strategy NOUN fbem-8403 129 28 for for ADP fbem-8403 129 29 supply supply NOUN fbem-8403 129 30 disruptions[j disruptions[j PROPN fbem-8403 129 31 / / SYM fbem-8403 129 32 ol ol PROPN fbem-8403 129 33 ] ] PUNCT fbem-8403 129 34 . . PUNCT fbem-8403 130 1 systems system NOUN fbem-8403 130 2 engineering engineering NOUN fbem-8403 130 3 theory theory NOUN fbem-8403 130 4 and and CCONJ fbem-8403 130 5 practice practice NOUN fbem-8403 130 6 : : PUNCT fbem-8403 130 7 1 1 NUM fbem-8403 130 8 - - SYM fbem-8403 130 9 15 15 NUM fbem-8403 131 1 [ [ NOUN fbem-8403 131 2 2022 2022 NUM fbem-8403 131 3 - - SYM fbem-8403 131 4 09 09 NUM fbem-8403 131 5 - - SYM fbem-8403 131 6 30 30 NUM fbem-8403 131 7 ] ] PUNCT fbem-8403 131 8 . . PUNCT fbem-8403 132 1 http://kns.cnki.net/kcms/detail/11.2267.n.20220610.1645.006 http://kns.cnki.net/kcms/detail/11.2267.n.20220610.1645.006 ADJ fbem-8403 132 2 . . PUNCT fbem-8403 133 1 [ [ X fbem-8403 133 2 7 7 X fbem-8403 133 3 ] ] X fbem-8403 133 4 pan pan PROPN fbem-8403 133 5 wei wei PROPN fbem-8403 133 6 . . PUNCT fbem-8403 133 7 fuzzy fuzzy ADJ fbem-8403 133 8 multi multi ADJ fbem-8403 133 9 - - ADJ fbem-8403 133 10 objective objective ADJ fbem-8403 133 11 order order NOUN fbem-8403 133 12 allocation allocation NOUN fbem-8403 133 13 model model NOUN fbem-8403 133 14 based base VERB fbem-8403 133 15 on on ADP fbem-8403 133 16 supply supply NOUN fbem-8403 133 17 disruption disruption NOUN fbem-8403 133 18 risk[j risk[j NOUN fbem-8403 133 19 ] ] PUNCT fbem-8403 133 20 . . PUNCT fbem-8403 134 1 journal journal PROPN fbem-8403 134 2 of of ADP fbem-8403 134 3 management management NOUN fbem-8403 134 4 science science NOUN fbem-8403 134 5 , , PUNCT fbem-8403 134 6 2015 2015 NUM fbem-8403 134 7 , , PUNCT fbem-8403 134 8 18(03 18(03 NUM fbem-8403 134 9 ): ): PUNCT fbem-8403 134 10 45 45 NUM fbem-8403 134 11 - - SYM fbem-8403 134 12 51 51 NUM fbem-8403 134 13 . . PUNCT fbem-8403 135 1 [ [ X fbem-8403 135 2 8 8 NUM fbem-8403 135 3 ] ] X fbem-8403 135 4 nengmin nengmin NOUN fbem-8403 135 5 z z PROPN fbem-8403 135 6 , , PUNCT fbem-8403 135 7 qing qe VERB fbem-8403 135 8 h. h. PROPN fbem-8403 135 9 dual dual ADJ fbem-8403 135 10 sourcing sourcing NOUN fbem-8403 135 11 strategy strategy NOUN fbem-8403 135 12 for for ADP fbem-8403 135 13 high high ADJ fbem-8403 135 14 - - PUNCT fbem-8403 135 15 tech tech NOUN fbem-8403 135 16 manufacturer manufacturer NOUN fbem-8403 135 17 under under ADP fbem-8403 135 18 supply supply NOUN fbem-8403 135 19 risk risk NOUN fbem-8403 135 20 and and CCONJ fbem-8403 135 21 capacity capacity NOUN fbem-8403 135 22 constraint.[j constraint.[j PROPN fbem-8403 135 23 ] ] PUNCT fbem-8403 135 24 . . PUNCT fbem-8403 136 1 ieee ieee NOUN fbem-8403 136 2 access access NOUN fbem-8403 136 3 , , PUNCT fbem-8403 136 4 2019 2019 NUM fbem-8403 136 5 , , PUNCT fbem-8403 136 6 7 7 NUM fbem-8403 136 7 : : SYM fbem-8403 136 8 42672 42672 NUM fbem-8403 136 9 - - SYM fbem-8403 136 10 42682 42682 NUM fbem-8403 136 11 . . PUNCT fbem-8403 137 1 [ [ X fbem-8403 137 2 9 9 NUM fbem-8403 137 3 ] ] SYM fbem-8403 137 4 dong dong PROPN fbem-8403 137 5 yinhong yinhong PROPN fbem-8403 137 6 , , PUNCT fbem-8403 137 7 zheng zheng PROPN fbem-8403 137 8 qi qi PROPN fbem-8403 137 9 , , PUNCT fbem-8403 137 10 li li PROPN fbem-8403 137 11 long long PROPN fbem-8403 137 12 . . PUNCT fbem-8403 138 1 a a DET fbem-8403 138 2 two two NUM fbem-8403 138 3 - - PUNCT fbem-8403 138 4 tier tier NOUN fbem-8403 138 5 planning planning NOUN fbem-8403 138 6 model model NOUN fbem-8403 138 7 for for ADP fbem-8403 138 8 multi multi ADJ fbem-8403 138 9 - - ADJ fbem-8403 138 10 source source ADJ fbem-8403 138 11 emergency emergency NOUN fbem-8403 138 12 material material NOUN fbem-8403 138 13 procurement procurement NOUN fbem-8403 138 14 considering consider VERB fbem-8403 138 15 supply supply NOUN fbem-8403 138 16 risks[j risks[j PROPN fbem-8403 138 17 / / SYM fbem-8403 138 18 ol ol PROPN fbem-8403 138 19 ] ] PUNCT fbem-8403 138 20 . . PUNCT fbem-8403 139 1 chinese chinese ADJ fbem-8403 139 2 management management NOUN fbem-8403 139 3 science science NOUN fbem-8403 139 4 : : PUNCT fbem-8403 139 5 1 1 NUM fbem-8403 139 6 - - PUNCT fbem-8403 139 7 9[2021 9[2021 NUM fbem-8403 139 8 - - PUNCT fbem-8403 139 9 09 09 NUM fbem-8403 139 10 - - SYM fbem-8403 139 11 22 22 NUM fbem-8403 139 12 ] ] PUNCT fbem-8403 139 13 . . PUNCT fbem-8403 140 1 https://doi.org/10.16381/j.cnki.issn1003207x.2019.y-04 https://doi.org/10.16381/j.cnki.issn1003207x.2019.y-04 X fbem-8403 140 2 . . PUNCT fbem-8403 141 1 [ [ X fbem-8403 141 2 10 10 NUM fbem-8403 141 3 ] ] X fbem-8403 141 4 zhou zhou PROPN fbem-8403 141 5 y y PROPN fbem-8403 141 6 w w PROPN fbem-8403 141 7 , , PUNCT fbem-8403 141 8 liu liu PROPN fbem-8403 141 9 j j PROPN fbem-8403 141 10 , , PUNCT fbem-8403 141 11 wu wu PROPN fbem-8403 141 12 x x X fbem-8403 141 13 l. l. PROPN fbem-8403 141 14 how how SCONJ fbem-8403 141 15 to to PART fbem-8403 141 16 implement implement VERB fbem-8403 141 17 the the DET fbem-8403 141 18 wholesale wholesale ADJ fbem-8403 141 19 price price NOUN fbem-8403 141 20 contract contract NOUN fbem-8403 141 21 : : PUNCT fbem-8403 141 22 considering consider VERB fbem-8403 141 23 competition competition NOUN fbem-8403 141 24 between between ADP fbem-8403 141 25 supply supply NOUN fbem-8403 141 26 chains[j chains[j PROPN fbem-8403 141 27 ] ] PUNCT fbem-8403 141 28 . . PUNCT fbem-8403 142 1 journal journal PROPN fbem-8403 142 2 of of ADP fbem-8403 142 3 systems system NOUN fbem-8403 142 4 science science NOUN fbem-8403 142 5 and and CCONJ fbem-8403 142 6 systems system NOUN fbem-8403 142 7 engineering engineering NOUN fbem-8403 142 8 , , PUNCT fbem-8403 142 9 2022 2022 NUM fbem-8403 142 10 , , PUNCT fbem-8403 142 11 31(2 31(2 NUM fbem-8403 142 12 ): ): PUNCT fbem-8403 142 13 150 150 NUM fbem-8403 142 14 - - SYM fbem-8403 142 15 173 173 NUM fbem-8403 142 16 . . PUNCT fbem-8403 143 1 [ [ X fbem-8403 143 2 11 11 NUM fbem-8403 143 3 ] ] X fbem-8403 143 4 hou hou PROPN fbem-8403 143 5 j j PROPN fbem-8403 143 6 , , PUNCT fbem-8403 143 7 zeng zeng PROPN fbem-8403 143 8 a a DET fbem-8403 143 9 z z PROPN fbem-8403 143 10 , , PUNCT fbem-8403 143 11 sun sun PROPN fbem-8403 143 12 l. l. PROPN fbem-8403 143 13 backup backup PROPN fbem-8403 143 14 sourcing source VERB fbem-8403 143 15 with with ADP fbem-8403 143 16 capacity capacity NOUN fbem-8403 143 17 reservation reservation NOUN fbem-8403 143 18 under under ADP fbem-8403 143 19 uncertain uncertain ADJ fbem-8403 143 20 disruption disruption NOUN fbem-8403 143 21 risk risk NOUN fbem-8403 143 22 and and CCONJ fbem-8403 143 23 minimum minimum NOUN fbem-8403 143 24 order order NOUN fbem-8403 143 25 quantity[j quantity[j NUM fbem-8403 143 26 ] ] PUNCT fbem-8403 143 27 . . PUNCT fbem-8403 144 1 computers computer NOUN fbem-8403 144 2 & & CCONJ fbem-8403 144 3 industrial industrial ADJ fbem-8403 144 4 engineering,2017 engineering,2017 NOUN fbem-8403 144 5 , , PUNCT fbem-8403 144 6 103 103 NUM fbem-8403 144 7 : : PUNCT fbem-8403 144 8 216 216 NUM fbem-8403 144 9 - - SYM fbem-8403 144 10 226 226 NUM fbem-8403 144 11 . . PUNCT fbem-8403 145 1 [ [ X fbem-8403 145 2 12 12 NUM fbem-8403 145 3 ] ] X fbem-8403 145 4 fan fan PROPN fbem-8403 145 5 bo bo PROPN fbem-8403 145 6 , , PUNCT fbem-8403 145 7 meng meng PROPN fbem-8403 145 8 weidong weidong PROPN fbem-8403 145 9 , , PUNCT fbem-8403 145 10 dai dai PROPN fbem-8403 145 11 jiansheng jiansheng PROPN fbem-8403 145 12 . . PUNCT fbem-8403 146 1 cvar cvar NOUN fbem-8403 146 2 - - PUNCT fbem-8403 146 3 based base VERB fbem-8403 146 4 repurchase repurchase NOUN fbem-8403 146 5 contract contract NOUN fbem-8403 146 6 coordination coordination NOUN fbem-8403 146 7 model model NOUN fbem-8403 146 8 under under ADP fbem-8403 146 9 bilateral bilateral ADJ fbem-8403 146 10 moral moral ADJ fbem-8403 146 11 hazard[j hazard[j NOUN fbem-8403 146 12 ] ] PUNCT fbem-8403 146 13 . . PUNCT fbem-8403 147 1 journal journal PROPN fbem-8403 147 2 of of ADP fbem-8403 147 3 systems system NOUN fbem-8403 147 4 engineering engineering NOUN fbem-8403 147 5 , , PUNCT fbem-8403 147 6 2016 2016 NUM fbem-8403 147 7 , , PUNCT fbem-8403 147 8 31(01):78 31(01):78 NUM fbem-8403 147 9 - - SYM fbem-8403 147 10 87 87 NUM fbem-8403 147 11 . . PUNCT fbem-8403 148 1 [ [ X fbem-8403 148 2 13 13 NUM fbem-8403 148 3 ] ] X fbem-8403 148 4 merzifonluoglu merzifonluoglu PROPN fbem-8403 148 5 y. y. PROPN fbem-8403 148 6 integrated integrate VERB fbem-8403 148 7 demand demand NOUN fbem-8403 148 8 and and CCONJ fbem-8403 148 9 procurement procurement NOUN fbem-8403 148 10 portfolio portfolio NOUN fbem-8403 148 11 management management NOUN fbem-8403 148 12 with with ADP fbem-8403 148 13 spot spot NOUN fbem-8403 148 14 market market NOUN fbem-8403 148 15 volatility volatility NOUN fbem-8403 148 16 and and CCONJ fbem-8403 148 17 option option NOUN fbem-8403 148 18 contracts[j contracts[j NOUN fbem-8403 148 19 ] ] PUNCT fbem-8403 148 20 . . PUNCT fbem-8403 149 1 european european PROPN fbem-8403 149 2 journal journal PROPN fbem-8403 149 3 of of ADP fbem-8403 149 4 operational operational ADJ fbem-8403 149 5 research research NOUN fbem-8403 149 6 , , PUNCT fbem-8403 149 7 2017 2017 NUM fbem-8403 149 8 , , PUNCT fbem-8403 149 9 258(1 258(1 NUM fbem-8403 149 10 ): ): PUNCT fbem-8403 149 11 181 181 NUM fbem-8403 149 12 - - SYM fbem-8403 149 13 192 192 NUM fbem-8403 149 14 . . PUNCT fbem-8403 150 1 [ [ X fbem-8403 150 2 14 14 NUM fbem-8403 150 3 ] ] X fbem-8403 150 4 wang wang PROPN fbem-8403 150 5 c c PROPN fbem-8403 150 6 , , PUNCT fbem-8403 150 7 chen chen PROPN fbem-8403 150 8 x. x. PROPN fbem-8403 150 9 joint joint ADJ fbem-8403 150 10 order order NOUN fbem-8403 150 11 and and CCONJ fbem-8403 150 12 pricing pricing NOUN fbem-8403 150 13 decisions decision NOUN fbem-8403 150 14 for for ADP fbem-8403 150 15 fresh fresh ADJ fbem-8403 150 16 produce produce NOUN fbem-8403 150 17 with with ADP fbem-8403 150 18 put put NOUN fbem-8403 150 19 option option NOUN fbem-8403 150 20 contracts[j contracts[j NOUN fbem-8403 150 21 ] ] PUNCT fbem-8403 150 22 . . PUNCT fbem-8403 151 1 journal journal PROPN fbem-8403 151 2 of of ADP fbem-8403 151 3 the the DET fbem-8403 151 4 operational operational ADJ fbem-8403 151 5 research research NOUN fbem-8403 151 6 society society NOUN fbem-8403 151 7 , , PUNCT fbem-8403 151 8 2018 2018 NUM fbem-8403 151 9 , , PUNCT fbem-8403 151 10 69(3 69(3 NUM fbem-8403 151 11 ): ): PUNCT fbem-8403 151 12 474 474 NUM fbem-8403 151 13 - - SYM fbem-8403 151 14 484 484 NUM fbem-8403 151 15 . . PUNCT fbem-8403 152 1 [ [ X fbem-8403 152 2 15 15 NUM fbem-8403 152 3 ] ] X fbem-8403 152 4 hu hu PROPN fbem-8403 153 1 z z PROPN fbem-8403 153 2 , , PUNCT fbem-8403 153 3 tian tian PROPN fbem-8403 153 4 j j PROPN fbem-8403 153 5 , , PUNCT fbem-8403 153 6 feng feng PROPN fbem-8403 153 7 g. g. PROPN fbem-8403 153 8 a a DET fbem-8403 153 9 relief relief NOUN fbem-8403 153 10 supplies supply NOUN fbem-8403 153 11 purchasing purchasing NOUN fbem-8403 153 12 model model NOUN fbem-8403 153 13 based base VERB fbem-8403 153 14 on on ADP fbem-8403 153 15 a a DET fbem-8403 153 16 put put NOUN fbem-8403 153 17 option option NOUN fbem-8403 153 18 contract[j contract[j NOUN fbem-8403 153 19 ] ] PUNCT fbem-8403 153 20 . . PUNCT fbem-8403 154 1 computers computer NOUN fbem-8403 154 2 & & CCONJ fbem-8403 154 3 industrial industrial ADJ fbem-8403 154 4 engineering engineering NOUN fbem-8403 154 5 , , PUNCT fbem-8403 154 6 2019,127,253–262 2019,127,253–262 NUM fbem-8403 154 7 . . PUNCT fbem-8403 155 1 [ [ X fbem-8403 155 2 16 16 NUM fbem-8403 155 3 ] ] X fbem-8403 155 4 patra patra PROPN fbem-8403 155 5 t t PROPN fbem-8403 155 6 d d PROPN fbem-8403 155 7 p p PROPN fbem-8403 155 8 , , PUNCT fbem-8403 155 9 jha jha PROPN fbem-8403 155 10 j j PROPN fbem-8403 155 11 k. k. PROPN fbem-8403 155 12 bidirectional bidirectional PROPN fbem-8403 155 13 option option NOUN fbem-8403 155 14 contract contract NOUN fbem-8403 155 15 for for ADP fbem-8403 155 16 prepositioning prepositioning NOUN fbem-8403 155 17 of of ADP fbem-8403 155 18 relief relief NOUN fbem-8403 155 19 supplies supply NOUN fbem-8403 155 20 under under ADP fbem-8403 155 21 demand demand NOUN fbem-8403 155 22 uncertainty[j uncertainty[j NOUN fbem-8403 155 23 ] ] PUNCT fbem-8403 155 24 , , PUNCT fbem-8403 155 25 computers computer NOUN fbem-8403 155 26 & & CCONJ fbem-8403 155 27 industrial industrial ADJ fbem-8403 155 28 engineering,2022,107861 engineering,2022,107861 PROPN fbem-8403 155 29 . . PUNCT fbem-8403 156 1 [ [ X fbem-8403 156 2 17 17 NUM fbem-8403 156 3 ] ] X fbem-8403 156 4 aghajani aghajani PROPN fbem-8403 156 5 m m PROPN fbem-8403 156 6 , , PUNCT fbem-8403 156 7 torabi torabi NOUN fbem-8403 156 8 s s VERB fbem-8403 156 9 a a DET fbem-8403 156 10 , , PUNCT fbem-8403 156 11 heydari heydari PROPN fbem-8403 156 12 j. j. PROPN fbem-8403 156 13 a a DET fbem-8403 156 14 novel novel ADJ fbem-8403 156 15 option option NOUN fbem-8403 156 16 contract contract NOUN fbem-8403 156 17 integrated integrate VERB fbem-8403 156 18 with with ADP fbem-8403 156 19 supplier supplier NOUN fbem-8403 156 20 selection selection NOUN fbem-8403 156 21 and and CCONJ fbem-8403 156 22 inventory inventory NOUN fbem-8403 156 23 prepositioning prepositione VERB fbem-8403 156 24 for for ADP fbem-8403 156 25 humanitarian humanitarian ADJ fbem-8403 156 26 relief relief NOUN fbem-8403 156 27 supply supply NOUN fbem-8403 156 28 chains[j chains[j PROPN fbem-8403 156 29 ] ] X fbem-8403 156 30 . . PUNCT fbem-8403 157 1 socioeconomic socioeconomic ADJ fbem-8403 157 2 planning planning NOUN fbem-8403 157 3 sciences science NOUN fbem-8403 157 4 , , PUNCT fbem-8403 157 5 2020 2020 NUM fbem-8403 157 6 , , PUNCT fbem-8403 157 7 100780 100780 NUM fbem-8403 157 8 . . PUNCT