id sid tid token lemma pos cana-767 1 1 communications communication NOUN cana-767 1 2 on on ADP cana-767 1 3 applied apply VERB cana-767 1 4 nonlinear nonlinear ADJ cana-767 1 5 analysis analysis NOUN cana-767 1 6 issn issn NOUN cana-767 1 7 : : PUNCT cana-767 1 8 1074 1074 NUM cana-767 1 9 - - PUNCT cana-767 1 10 133x 133x NUM cana-767 1 11 vol vol NOUN cana-767 1 12 31 31 NUM cana-767 1 13 no no NOUN cana-767 1 14 . . PUNCT cana-767 2 1 3s 3s NUM cana-767 2 2 ( ( PUNCT cana-767 2 3 2024 2024 NUM cana-767 2 4 ) ) PUNCT cana-767 2 5 303 303 NUM cana-767 2 6 https://internationalpubls.com https://internationalpubls.com X cana-767 2 7 optimizing optimize VERB cana-767 2 8 inventory inventory NOUN cana-767 2 9 management management NOUN cana-767 2 10 for for ADP cana-767 2 11 perishable perishable ADJ cana-767 2 12 goods good NOUN cana-767 2 13 : : PUNCT cana-767 2 14 managing manage VERB cana-767 2 15 exponential exponential ADJ cana-767 2 16 demand demand NOUN cana-767 2 17 variations variation NOUN cana-767 2 18 , , PUNCT cana-767 2 19 stable stable ADJ cana-767 2 20 holding holding NOUN cana-767 2 21 charges charge NOUN cana-767 2 22 , , PUNCT cana-767 2 23 and and CCONJ cana-767 2 24 partial partial ADJ cana-767 2 25 backlog backlog NOUN cana-767 2 26 handling handle VERB cana-767 2 27 s.ramya1 s.ramya1 ADJ cana-767 2 28 and and CCONJ cana-767 2 29 d.sivakumar2 d.sivakumar2 ADJ cana-767 2 30 1 1 NUM cana-767 2 31 department department NOUN cana-767 2 32 of of ADP cana-767 2 33 mathematics mathematic NOUN cana-767 2 34 , , PUNCT cana-767 2 35 sri sri PROPN cana-767 2 36 vasavi vasavi PROPN cana-767 2 37 college college PROPN cana-767 2 38 , , PUNCT cana-767 2 39 erode erode VERB cana-767 2 40 , , PUNCT cana-767 2 41 tamil tamil PROPN cana-767 2 42 nadu nadu PROPN cana-767 2 43 , , PUNCT cana-767 2 44 india india PROPN cana-767 2 45 . . PUNCT cana-767 2 46 email email NOUN cana-767 2 47 : : PUNCT cana-767 2 48 sramyavasavi@gmail.com sramyavasavi@gmail.com X cana-767 2 49 2 2 NUM cana-767 2 50 department department NOUN cana-767 2 51 of of ADP cana-767 2 52 mathematics mathematic NOUN cana-767 2 53 , , PUNCT cana-767 2 54 kongu kongu PROPN cana-767 2 55 arts art NOUN cana-767 2 56 and and CCONJ cana-767 2 57 science science PROPN cana-767 2 58 college college PROPN cana-767 2 59 , , PUNCT cana-767 2 60 erode erode VERB cana-767 2 61 , , PUNCT cana-767 2 62 tamil tamil PROPN cana-767 2 63 nadu nadu PROPN cana-767 2 64 , , PUNCT cana-767 2 65 india india PROPN cana-767 2 66 . . PUNCT cana-767 3 1 email email NOUN cana-767 3 2 : : PUNCT cana-767 4 1 profsiva75@gmail.com profsiva75@gmail.com X cana-767 4 2 article article NOUN cana-767 4 3 history history NOUN cana-767 4 4 : : PUNCT cana-767 4 5 received receive VERB cana-767 4 6 : : PUNCT cana-767 4 7 14 14 NUM cana-767 4 8 - - PUNCT cana-767 4 9 04 04 NUM cana-767 4 10 - - PUNCT cana-767 4 11 2024 2024 NUM cana-767 4 12 revised revise VERB cana-767 4 13 : : PUNCT cana-767 4 14 18 18 NUM cana-767 4 15 - - SYM cana-767 4 16 05 05 NUM cana-767 4 17 - - PUNCT cana-767 4 18 2024 2024 NUM cana-767 4 19 accepted accept VERB cana-767 4 20 : : PUNCT cana-767 4 21 15 15 NUM cana-767 4 22 - - SYM cana-767 4 23 06 06 NUM cana-767 4 24 - - PUNCT cana-767 4 25 2024 2024 NUM cana-767 4 26 abstract abstract NOUN cana-767 4 27 : : PUNCT cana-767 4 28 in in ADP cana-767 4 29 the the DET cana-767 4 30 ever ever ADV cana-767 4 31 - - PUNCT cana-767 4 32 evolving evolve VERB cana-767 4 33 landscape landscape NOUN cana-767 4 34 of of ADP cana-767 4 35 modern modern ADJ cana-767 4 36 business business NOUN cana-767 4 37 , , PUNCT cana-767 4 38 adept adept ADJ cana-767 4 39 inventory inventory NOUN cana-767 4 40 management management NOUN cana-767 4 41 stands stand VERB cana-767 4 42 as as ADP cana-767 4 43 a a DET cana-767 4 44 cornerstone cornerstone NOUN cana-767 4 45 of of ADP cana-767 4 46 competitiveness competitiveness NOUN cana-767 4 47 and and CCONJ cana-767 4 48 profitability profitability NOUN cana-767 4 49 . . PUNCT cana-767 5 1 this this DET cana-767 5 2 research research NOUN cana-767 5 3 unveils unveil VERB cana-767 5 4 a a DET cana-767 5 5 tailored tailor VERB cana-767 5 6 inventory inventory NOUN cana-767 5 7 optimization optimization NOUN cana-767 5 8 model model NOUN cana-767 5 9 designed design VERB cana-767 5 10 for for ADP cana-767 5 11 perishable perishable ADJ cana-767 5 12 goods good NOUN cana-767 5 13 , , PUNCT cana-767 5 14 accounting account VERB cana-767 5 15 for for ADP cana-767 5 16 critical critical ADJ cana-767 5 17 factors factor NOUN cana-767 5 18 including include VERB cana-767 5 19 exponential exponential ADJ cana-767 5 20 time time NOUN cana-767 5 21 - - PUNCT cana-767 5 22 varying vary VERB cana-767 5 23 demand demand NOUN cana-767 5 24 , , PUNCT cana-767 5 25 consistent consistent ADJ cana-767 5 26 holding holding NOUN cana-767 5 27 costs cost NOUN cana-767 5 28 , , PUNCT cana-767 5 29 and and CCONJ cana-767 5 30 partial partial ADJ cana-767 5 31 backlog backlog NOUN cana-767 5 32 management management NOUN cana-767 5 33 . . PUNCT cana-767 6 1 the the DET cana-767 6 2 model model NOUN cana-767 6 3 's 's PART cana-767 6 4 objective objective NOUN cana-767 6 5 is be AUX cana-767 6 6 to to PART cana-767 6 7 find find VERB cana-767 6 8 an an DET cana-767 6 9 equilibrium equilibrium NOUN cana-767 6 10 , , PUNCT cana-767 6 11 optimizing optimize VERB cana-767 6 12 inventory inventory NOUN cana-767 6 13 expenses expense NOUN cana-767 6 14 while while SCONJ cana-767 6 15 maintaining maintain VERB cana-767 6 16 sufficient sufficient ADJ cana-767 6 17 stock stock NOUN cana-767 6 18 to to ADP cana-767 6 19 fulfil fulfil NOUN cana-767 6 20 customer customer NOUN cana-767 6 21 needs need NOUN cana-767 6 22 . . PUNCT cana-767 7 1 by by ADP cana-767 7 2 incorporating incorporate VERB cana-767 7 3 these these DET cana-767 7 4 key key ADJ cana-767 7 5 elements element NOUN cana-767 7 6 , , PUNCT cana-767 7 7 businesses business NOUN cana-767 7 8 can can AUX cana-767 7 9 enhance enhance VERB cana-767 7 10 their their PRON cana-767 7 11 inventory inventory NOUN cana-767 7 12 management management NOUN cana-767 7 13 strategies strategy NOUN cana-767 7 14 to to PART cana-767 7 15 adapt adapt VERB cana-767 7 16 to to ADP cana-767 7 17 changing change VERB cana-767 7 18 market market NOUN cana-767 7 19 conditions condition NOUN cana-767 7 20 and and CCONJ cana-767 7 21 improve improve VERB cana-767 7 22 overall overall ADJ cana-767 7 23 operational operational ADJ cana-767 7 24 efficiency efficiency NOUN cana-767 7 25 . . PUNCT cana-767 8 1 through through ADP cana-767 8 2 analytical analytical ADJ cana-767 8 3 insights insight NOUN cana-767 8 4 and and CCONJ cana-767 8 5 numerical numerical ADJ cana-767 8 6 simulations simulation NOUN cana-767 8 7 , , PUNCT cana-767 8 8 this this DET cana-767 8 9 research research NOUN cana-767 8 10 provides provide VERB cana-767 8 11 valuable valuable ADJ cana-767 8 12 guidance guidance NOUN cana-767 8 13 for for ADP cana-767 8 14 decision decision NOUN cana-767 8 15 - - PUNCT cana-767 8 16 makers maker NOUN cana-767 8 17 in in ADP cana-767 8 18 optimizing optimize VERB cana-767 8 19 inventory inventory NOUN cana-767 8 20 policies policy NOUN cana-767 8 21 for for ADP cana-767 8 22 perishable perishable ADJ cana-767 8 23 goods good NOUN cana-767 8 24 . . PUNCT cana-767 9 1 keywords keyword NOUN cana-767 9 2 : : PUNCT cana-767 9 3 perishable perishable ADJ cana-767 9 4 goods good NOUN cana-767 9 5 , , PUNCT cana-767 9 6 exponential exponential ADJ cana-767 9 7 demand demand NOUN cana-767 9 8 variations variation NOUN cana-767 9 9 , , PUNCT cana-767 9 10 stable stable ADJ cana-767 9 11 holding holding NOUN cana-767 9 12 charge charge NOUN cana-767 9 13 , , PUNCT cana-767 9 14 shortages shortage NOUN cana-767 9 15 and and CCONJ cana-767 9 16 partial partial ADJ cana-767 9 17 backlog backlog NOUN cana-767 9 18 . . PUNCT cana-767 10 1 1 1 X cana-767 10 2 . . X cana-767 10 3 introduction introduction NOUN cana-767 10 4 efficient efficient ADJ cana-767 10 5 inventory inventory NOUN cana-767 10 6 management management NOUN cana-767 10 7 is be AUX cana-767 10 8 fundamental fundamental ADJ cana-767 10 9 for for ADP cana-767 10 10 businesses business NOUN cana-767 10 11 operating operate VERB cana-767 10 12 in in ADP cana-767 10 13 various various ADJ cana-767 10 14 industries industry NOUN cana-767 10 15 to to PART cana-767 10 16 meet meet VERB cana-767 10 17 customer customer NOUN cana-767 10 18 demands demand NOUN cana-767 10 19 while while SCONJ cana-767 10 20 minimizing minimize VERB cana-767 10 21 costs cost NOUN cana-767 10 22 and and CCONJ cana-767 10 23 maximizing maximize VERB cana-767 10 24 profitability profitability NOUN cana-767 10 25 . . PUNCT cana-767 11 1 in in ADP cana-767 11 2 particular particular ADJ cana-767 11 3 , , PUNCT cana-767 11 4 the the DET cana-767 11 5 management management NOUN cana-767 11 6 of of ADP cana-767 11 7 deteriorating deteriorate VERB cana-767 11 8 items item NOUN cana-767 11 9 presents present VERB cana-767 11 10 unique unique ADJ cana-767 11 11 challenges challenge NOUN cana-767 11 12 due due ADJ cana-767 11 13 to to ADP cana-767 11 14 factors factor NOUN cana-767 11 15 such such ADJ cana-767 11 16 as as ADP cana-767 11 17 time time NOUN cana-767 11 18 - - PUNCT cana-767 11 19 varying vary VERB cana-767 11 20 demand demand NOUN cana-767 11 21 patterns pattern NOUN cana-767 11 22 and and CCONJ cana-767 11 23 the the DET cana-767 11 24 potential potential NOUN cana-767 11 25 for for ADP cana-767 11 26 inventory inventory NOUN cana-767 11 27 deterioration deterioration NOUN cana-767 11 28 over over ADP cana-767 11 29 time time NOUN cana-767 11 30 . . PUNCT cana-767 12 1 this this DET cana-767 12 2 paper paper NOUN cana-767 12 3 focuses focus VERB cana-767 12 4 on on ADP cana-767 12 5 developing develop VERB cana-767 12 6 an an DET cana-767 12 7 inventory inventory NOUN cana-767 12 8 optimization optimization NOUN cana-767 12 9 model model NOUN cana-767 12 10 specifically specifically ADV cana-767 12 11 tailored tailor VERB cana-767 12 12 to to PART cana-767 12 13 address address VERB cana-767 12 14 these these DET cana-767 12 15 challenges challenge NOUN cana-767 12 16 , , PUNCT cana-767 12 17 with with ADP cana-767 12 18 a a DET cana-767 12 19 particular particular ADJ cana-767 12 20 emphasis emphasis NOUN cana-767 12 21 on on ADP cana-767 12 22 items item NOUN cana-767 12 23 subject subject ADJ cana-767 12 24 to to ADP cana-767 12 25 exponential exponential ADJ cana-767 12 26 time time NOUN cana-767 12 27 - - PUNCT cana-767 12 28 varying vary VERB cana-767 12 29 demand demand NOUN cana-767 12 30 , , PUNCT cana-767 12 31 stable stable ADJ cana-767 12 32 holding holding NOUN cana-767 12 33 costs cost NOUN cana-767 12 34 , , PUNCT cana-767 12 35 and and CCONJ cana-767 12 36 partial partial ADJ cana-767 12 37 backlog backlog NOUN cana-767 12 38 management management NOUN cana-767 12 39 . . PUNCT cana-767 13 1 deteriorating deteriorate VERB cana-767 13 2 items item NOUN cana-767 13 3 , , PUNCT cana-767 13 4 such such ADJ cana-767 13 5 as as ADP cana-767 13 6 perishable perishable ADJ cana-767 13 7 goods good NOUN cana-767 13 8 or or CCONJ cana-767 13 9 products product NOUN cana-767 13 10 with with ADP cana-767 13 11 limited limited ADJ cana-767 13 12 shelf shelf NOUN cana-767 13 13 lives life NOUN cana-767 13 14 , , PUNCT cana-767 13 15 require require VERB cana-767 13 16 careful careful ADJ cana-767 13 17 handling handling NOUN cana-767 13 18 to to PART cana-767 13 19 avoid avoid VERB cana-767 13 20 obsolescence obsolescence NOUN cana-767 13 21 and and CCONJ cana-767 13 22 minimize minimize VERB cana-767 13 23 wastage wastage NOUN cana-767 13 24 . . PUNCT cana-767 14 1 moreover moreover ADV cana-767 14 2 , , PUNCT cana-767 14 3 the the DET cana-767 14 4 demand demand NOUN cana-767 14 5 for for ADP cana-767 14 6 such such ADJ cana-767 14 7 items item NOUN cana-767 14 8 often often ADV cana-767 14 9 fluctuates fluctuate VERB cana-767 14 10 over over ADP cana-767 14 11 time time NOUN cana-767 14 12 , , PUNCT cana-767 14 13 influenced influence VERB cana-767 14 14 by by ADP cana-767 14 15 factors factor NOUN cana-767 14 16 such such ADJ cana-767 14 17 as as ADP cana-767 14 18 seasonality seasonality NOUN cana-767 14 19 , , PUNCT cana-767 14 20 market market NOUN cana-767 14 21 trends trend NOUN cana-767 14 22 , , PUNCT cana-767 14 23 and and CCONJ cana-767 14 24 promotional promotional ADJ cana-767 14 25 activities activity NOUN cana-767 14 26 . . PUNCT cana-767 15 1 conventional conventional ADJ cana-767 15 2 inventory inventory NOUN cana-767 15 3 models model NOUN cana-767 15 4 might might AUX cana-767 15 5 overlook overlook VERB cana-767 15 6 these these DET cana-767 15 7 dynamics dynamic NOUN cana-767 15 8 , , PUNCT cana-767 15 9 potentially potentially ADV cana-767 15 10 resulting result VERB cana-767 15 11 in in ADP cana-767 15 12 suboptimal suboptimal ADJ cana-767 15 13 inventory inventory NOUN cana-767 15 14 levels level NOUN cana-767 15 15 and and CCONJ cana-767 15 16 higher high ADJ cana-767 15 17 expenses expense NOUN cana-767 15 18 . . PUNCT cana-767 16 1 in in ADP cana-767 16 2 addition addition NOUN cana-767 16 3 to to AUX cana-767 16 4 demand demand VERB cana-767 16 5 variability variability NOUN cana-767 16 6 , , PUNCT cana-767 16 7 the the DET cana-767 16 8 management management NOUN cana-767 16 9 communications communication NOUN cana-767 16 10 on on ADP cana-767 16 11 applied apply VERB cana-767 16 12 nonlinear nonlinear ADJ cana-767 16 13 analysis analysis NOUN cana-767 16 14 issn issn NOUN cana-767 16 15 : : PUNCT cana-767 16 16 1074 1074 NUM cana-767 16 17 - - PUNCT cana-767 16 18 133x 133x NUM cana-767 16 19 vol vol NOUN cana-767 16 20 31 31 NUM cana-767 16 21 no no NOUN cana-767 16 22 . . PUNCT cana-767 17 1 3s 3s NUM cana-767 17 2 ( ( PUNCT cana-767 17 3 2024 2024 NUM cana-767 17 4 ) ) PUNCT cana-767 17 5 304 304 NUM cana-767 17 6 https://internationalpubls.com https://internationalpubls.com X cana-767 17 7 of of ADP cana-767 17 8 deteriorating deteriorate VERB cana-767 17 9 items item NOUN cana-767 17 10 must must AUX cana-767 17 11 also also ADV cana-767 17 12 consider consider VERB cana-767 17 13 the the DET cana-767 17 14 cost cost NOUN cana-767 17 15 implications implication NOUN cana-767 17 16 of of ADP cana-767 17 17 holding hold VERB cana-767 17 18 inventory inventory NOUN cana-767 17 19 over over ADP cana-767 17 20 time time NOUN cana-767 17 21 . . PUNCT cana-767 18 1 stable stable ADJ cana-767 18 2 holding hold VERB cana-767 18 3 costs cost NOUN cana-767 18 4 , , PUNCT cana-767 18 5 representing represent VERB cana-767 18 6 the the DET cana-767 18 7 expenses expense NOUN cana-767 18 8 associated associate VERB cana-767 18 9 with with ADP cana-767 18 10 storing store VERB cana-767 18 11 and and CCONJ cana-767 18 12 maintaining maintain VERB cana-767 18 13 inventory inventory NOUN cana-767 18 14 , , PUNCT cana-767 18 15 play play VERB cana-767 18 16 a a DET cana-767 18 17 significant significant ADJ cana-767 18 18 role role NOUN cana-767 18 19 in in ADP cana-767 18 20 determining determine VERB cana-767 18 21 the the DET cana-767 18 22 optimal optimal ADJ cana-767 18 23 inventory inventory NOUN cana-767 18 24 policy policy NOUN cana-767 18 25 . . PUNCT cana-767 19 1 balancing balance VERB cana-767 19 2 these these DET cana-767 19 3 costs cost NOUN cana-767 19 4 with with ADP cana-767 19 5 the the DET cana-767 19 6 need need NOUN cana-767 19 7 to to PART cana-767 19 8 fulfil fulfil VERB cana-767 19 9 customer customer NOUN cana-767 19 10 orders order NOUN cana-767 19 11 in in ADP cana-767 19 12 a a DET cana-767 19 13 timely timely ADJ cana-767 19 14 manner manner NOUN cana-767 19 15 is be AUX cana-767 19 16 essential essential ADJ cana-767 19 17 for for ADP cana-767 19 18 achieving achieve VERB cana-767 19 19 operational operational ADJ cana-767 19 20 efficiency efficiency NOUN cana-767 19 21 and and CCONJ cana-767 19 22 customer customer NOUN cana-767 19 23 satisfaction satisfaction NOUN cana-767 19 24 . . PUNCT cana-767 20 1 furthermore furthermore ADV cana-767 20 2 , , PUNCT cana-767 20 3 the the DET cana-767 20 4 presence presence NOUN cana-767 20 5 of of ADP cana-767 20 6 partial partial ADJ cana-767 20 7 backlog backlog NOUN cana-767 20 8 management management NOUN cana-767 20 9 introduces introduce VERB cana-767 20 10 another another DET cana-767 20 11 layer layer NOUN cana-767 20 12 of of ADP cana-767 20 13 complexity complexity NOUN cana-767 20 14 to to ADP cana-767 20 15 the the DET cana-767 20 16 inventory inventory NOUN cana-767 20 17 optimization optimization NOUN cana-767 20 18 problem problem NOUN cana-767 20 19 . . PUNCT cana-767 21 1 partial partial ADJ cana-767 21 2 backlogging backlogging NOUN cana-767 21 3 occurs occur VERB cana-767 21 4 when when SCONJ cana-767 21 5 customer customer NOUN cana-767 21 6 demand demand NOUN cana-767 21 7 exceeds exceed VERB cana-767 21 8 available available ADJ cana-767 21 9 inventory inventory NOUN cana-767 21 10 , , PUNCT cana-767 21 11 resulting result VERB cana-767 21 12 in in ADP cana-767 21 13 unfulfilled unfulfilled ADJ cana-767 21 14 orders order NOUN cana-767 21 15 that that PRON cana-767 21 16 may may AUX cana-767 21 17 be be AUX cana-767 21 18 partially partially ADV cana-767 21 19 satisfied satisfied ADJ cana-767 21 20 in in ADP cana-767 21 21 subsequent subsequent ADJ cana-767 21 22 periods period NOUN cana-767 21 23 . . PUNCT cana-767 22 1 effective effective ADJ cana-767 22 2 management management NOUN cana-767 22 3 of of ADP cana-767 22 4 partial partial ADJ cana-767 22 5 backlogs backlog NOUN cana-767 22 6 requires require VERB cana-767 22 7 careful careful ADJ cana-767 22 8 consideration consideration NOUN cana-767 22 9 of of ADP cana-767 22 10 order order NOUN cana-767 22 11 fulfilment fulfilment NOUN cana-767 22 12 priorities priority NOUN cana-767 22 13 and and CCONJ cana-767 22 14 inventory inventory NOUN cana-767 22 15 replenishment replenishment NOUN cana-767 22 16 strategies strategy NOUN cana-767 22 17 to to PART cana-767 22 18 minimize minimize VERB cana-767 22 19 stockouts stockout NOUN cana-767 22 20 and and CCONJ cana-767 22 21 associated associated ADJ cana-767 22 22 costs cost NOUN cana-767 22 23 . . PUNCT cana-767 23 1 against against ADP cana-767 23 2 this this DET cana-767 23 3 backdrop backdrop NOUN cana-767 23 4 , , PUNCT cana-767 23 5 this this DET cana-767 23 6 paper paper NOUN cana-767 23 7 proposes propose VERB cana-767 23 8 an an DET cana-767 23 9 inventory inventory NOUN cana-767 23 10 optimization optimization NOUN cana-767 23 11 model model NOUN cana-767 23 12 that that PRON cana-767 23 13 integrates integrate VERB cana-767 23 14 these these DET cana-767 23 15 key key ADJ cana-767 23 16 factors factor NOUN cana-767 23 17 to to PART cana-767 23 18 provide provide VERB cana-767 23 19 decision decision NOUN cana-767 23 20 - - PUNCT cana-767 23 21 makers maker NOUN cana-767 23 22 with with ADP cana-767 23 23 actionable actionable ADJ cana-767 23 24 insights insight NOUN cana-767 23 25 for for ADP cana-767 23 26 managing manage VERB cana-767 23 27 deteriorating deteriorate VERB cana-767 23 28 items item NOUN cana-767 23 29 effectively effectively ADV cana-767 23 30 . . PUNCT cana-767 24 1 by by ADP cana-767 24 2 capturing capture VERB cana-767 24 3 the the DET cana-767 24 4 interplay interplay NOUN cana-767 24 5 between between ADP cana-767 24 6 exponential exponential ADJ cana-767 24 7 time time NOUN cana-767 24 8 - - PUNCT cana-767 24 9 varying vary VERB cana-767 24 10 demand demand NOUN cana-767 24 11 , , PUNCT cana-767 24 12 stable stable ADJ cana-767 24 13 holding holding NOUN cana-767 24 14 costs cost NOUN cana-767 24 15 , , PUNCT cana-767 24 16 and and CCONJ cana-767 24 17 partial partial ADJ cana-767 24 18 backlog backlog NOUN cana-767 24 19 management management NOUN cana-767 24 20 , , PUNCT cana-767 24 21 the the DET cana-767 24 22 proposed propose VERB cana-767 24 23 model model NOUN cana-767 24 24 offers offer VERB cana-767 24 25 a a DET cana-767 24 26 comprehensive comprehensive ADJ cana-767 24 27 framework framework NOUN cana-767 24 28 for for ADP cana-767 24 29 optimizing optimize VERB cana-767 24 30 inventory inventory NOUN cana-767 24 31 policies policy NOUN cana-767 24 32 and and CCONJ cana-767 24 33 enhancing enhance VERB cana-767 24 34 overall overall ADJ cana-767 24 35 supply supply NOUN cana-767 24 36 chain chain NOUN cana-767 24 37 performance performance NOUN cana-767 24 38 . . PUNCT cana-767 25 1 through through ADP cana-767 25 2 empirical empirical ADJ cana-767 25 3 validation validation NOUN cana-767 25 4 and and CCONJ cana-767 25 5 numerical numerical ADJ cana-767 25 6 experiments experiment NOUN cana-767 25 7 , , PUNCT cana-767 25 8 we we PRON cana-767 25 9 demonstrate demonstrate VERB cana-767 25 10 the the DET cana-767 25 11 practical practical ADJ cana-767 25 12 applicability applicability NOUN cana-767 25 13 and and CCONJ cana-767 25 14 the the DET cana-767 25 15 efficacy efficacy NOUN cana-767 25 16 of of ADP cana-767 25 17 the the DET cana-767 25 18 suggested suggest VERB cana-767 25 19 model model NOUN cana-767 25 20 in in ADP cana-767 25 21 real real ADJ cana-767 25 22 - - PUNCT cana-767 25 23 world world NOUN cana-767 25 24 inventory inventory NOUN cana-767 25 25 management management NOUN cana-767 25 26 scenarios scenario NOUN cana-767 25 27 . . PUNCT cana-767 26 1 2 2 X cana-767 26 2 . . X cana-767 26 3 literature literature NOUN cana-767 26 4 overview overview VERB cana-767 26 5 the the DET cana-767 26 6 literature literature NOUN cana-767 26 7 on on ADP cana-767 26 8 inventory inventory NOUN cana-767 26 9 optimization optimization NOUN cana-767 26 10 for for ADP cana-767 26 11 deteriorating deteriorate VERB cana-767 26 12 things thing NOUN cana-767 26 13 through through ADP cana-767 26 14 various various ADJ cana-767 26 15 demand demand NOUN cana-767 26 16 patterns pattern NOUN cana-767 26 17 , , PUNCT cana-767 26 18 holding hold VERB cana-767 26 19 charge charge NOUN cana-767 26 20 structures structure NOUN cana-767 26 21 , , PUNCT cana-767 26 22 also also ADV cana-767 26 23 backlog backlog NOUN cana-767 26 24 management management NOUN cana-767 26 25 strategies strategy NOUN cana-767 26 26 is be AUX cana-767 26 27 rich rich ADJ cana-767 26 28 and and CCONJ cana-767 26 29 diverse diverse ADJ cana-767 26 30 . . PUNCT cana-767 27 1 several several ADJ cana-767 27 2 notable notable ADJ cana-767 27 3 studies study NOUN cana-767 27 4 have have AUX cana-767 27 5 contributed contribute VERB cana-767 27 6 to to ADP cana-767 27 7 this this DET cana-767 27 8 field field NOUN cana-767 27 9 , , PUNCT cana-767 27 10 offering offer VERB cana-767 27 11 insights insight NOUN cana-767 27 12 into into ADP cana-767 27 13 the the DET cana-767 27 14 development development NOUN cana-767 27 15 of of ADP cana-767 27 16 effective effective ADJ cana-767 27 17 inventory inventory NOUN cana-767 27 18 models model NOUN cana-767 27 19 tailored tailor VERB cana-767 27 20 to to ADP cana-767 27 21 specific specific ADJ cana-767 27 22 contexts contexts NOUN cana-767 27 23 . . PUNCT cana-767 28 1 here here ADV cana-767 28 2 , , PUNCT cana-767 28 3 we we PRON cana-767 28 4 review review VERB cana-767 28 5 relevant relevant ADJ cana-767 28 6 literature literature NOUN cana-767 28 7 that that PRON cana-767 28 8 addresses address VERB cana-767 28 9 the the DET cana-767 28 10 complexities complexity NOUN cana-767 28 11 of of ADP cana-767 28 12 managing manage VERB cana-767 28 13 perishable perishable ADJ cana-767 28 14 goods good NOUN cana-767 28 15 , , PUNCT cana-767 28 16 encompassing encompass VERB cana-767 28 17 aspects aspect NOUN cana-767 28 18 such such ADJ cana-767 28 19 as as ADP cana-767 28 20 time time NOUN cana-767 28 21 - - PUNCT cana-767 28 22 varying vary VERB cana-767 28 23 demand demand NOUN cana-767 28 24 , , PUNCT cana-767 28 25 stable stable ADJ cana-767 28 26 holding holding NOUN cana-767 28 27 charges charge NOUN cana-767 28 28 , , PUNCT cana-767 28 29 also also ADV cana-767 28 30 partial partial ADJ cana-767 28 31 backlog backlog NOUN cana-767 28 32 management management NOUN cana-767 28 33 . . PUNCT cana-767 29 1 su su PROPN cana-767 29 2 , , PUNCT cana-767 29 3 lin lin PROPN cana-767 29 4 , , PUNCT cana-767 29 5 and and CCONJ cana-767 29 6 tsai tsai PROPN cana-767 29 7 ( ( PUNCT cana-767 29 8 1999 1999 NUM cana-767 29 9 ) ) PUNCT cana-767 29 10 investigated investigate VERB cana-767 29 11 a a DET cana-767 29 12 deterministic deterministic ADJ cana-767 29 13 model model NOUN cana-767 29 14 for for ADP cana-767 29 15 inventory inventory NOUN cana-767 29 16 management management NOUN cana-767 29 17 of of ADP cana-767 29 18 perishable perishable ADJ cana-767 29 19 goods good NOUN cana-767 29 20 experiencing experience VERB cana-767 29 21 an an DET cana-767 29 22 exponential exponential ADJ cana-767 29 23 decline decline NOUN cana-767 29 24 in in ADP cana-767 29 25 demand demand NOUN cana-767 29 26 . . PUNCT cana-767 30 1 their their PRON cana-767 30 2 study study NOUN cana-767 30 3 aimed aim VERB cana-767 30 4 to to PART cana-767 30 5 provide provide VERB cana-767 30 6 insights insight NOUN cana-767 30 7 into into ADP cana-767 30 8 optimal optimal ADJ cana-767 30 9 inventory inventory NOUN cana-767 30 10 policies policy NOUN cana-767 30 11 under under ADP cana-767 30 12 deteriorating deteriorate VERB cana-767 30 13 conditions condition NOUN cana-767 30 14 , , PUNCT cana-767 30 15 considering consider VERB cana-767 30 16 the the DET cana-767 30 17 impact impact NOUN cana-767 30 18 of of ADP cana-767 30 19 demand demand NOUN cana-767 30 20 decline decline VERB cana-767 30 21 on on ADP cana-767 30 22 production production NOUN cana-767 30 23 and and CCONJ cana-767 30 24 inventory inventory NOUN cana-767 30 25 management management NOUN cana-767 30 26 decisions decision NOUN cana-767 30 27 . . PUNCT cana-767 31 1 shah shah NOUN cana-767 31 2 and and CCONJ cana-767 31 3 shah shah PROPN cana-767 31 4 ( ( PUNCT cana-767 31 5 2000 2000 NUM cana-767 31 6 ) ) PUNCT cana-767 31 7 carried carry VERB cana-767 31 8 out out ADP cana-767 31 9 an an DET cana-767 31 10 extensive extensive ADJ cana-767 31 11 literature literature NOUN cana-767 31 12 review review NOUN cana-767 31 13 on on ADP cana-767 31 14 inventory inventory NOUN cana-767 31 15 models model NOUN cana-767 31 16 for for ADP cana-767 31 17 perishable perishable ADJ cana-767 31 18 goods good NOUN cana-767 31 19 , , PUNCT cana-767 31 20 emphasizing emphasize VERB cana-767 31 21 important important ADJ cana-767 31 22 trends trend NOUN cana-767 31 23 , , PUNCT cana-767 31 24 methodologies methodology NOUN cana-767 31 25 , , PUNCT cana-767 31 26 and and CCONJ cana-767 31 27 research research NOUN cana-767 31 28 gaps gap NOUN cana-767 31 29 within within ADP cana-767 31 30 this this DET cana-767 31 31 domain domain NOUN cana-767 31 32 . . PUNCT cana-767 32 1 their their PRON cana-767 32 2 analysis analysis NOUN cana-767 32 3 provided provide VERB cana-767 32 4 valuable valuable ADJ cana-767 32 5 insights insight NOUN cana-767 32 6 into into ADP cana-767 32 7 the the DET cana-767 32 8 progression progression NOUN cana-767 32 9 of of ADP cana-767 32 10 inventory inventory NOUN cana-767 32 11 management management NOUN cana-767 32 12 techniques technique NOUN cana-767 32 13 for for ADP cana-767 32 14 perishable perishable ADJ cana-767 32 15 goods good NOUN cana-767 32 16 throughout throughout ADP cana-767 32 17 history history NOUN cana-767 32 18 . . PUNCT cana-767 33 1 goyal goyal PROPN cana-767 33 2 and and CCONJ cana-767 33 3 giri giri PROPN cana-767 33 4 ( ( PUNCT cana-767 33 5 2001 2001 NUM cana-767 33 6 ) ) PUNCT cana-767 33 7 reviewed review VERB cana-767 33 8 current current ADJ cana-767 33 9 developments development NOUN cana-767 33 10 in in ADP cana-767 33 11 modelling model VERB cana-767 33 12 perishable perishable ADJ cana-767 33 13 inventory inventory NOUN cana-767 33 14 , , PUNCT cana-767 33 15 providing provide VERB cana-767 33 16 a a DET cana-767 33 17 comprehensive comprehensive ADJ cana-767 33 18 overview overview NOUN cana-767 33 19 of of ADP cana-767 33 20 the the DET cana-767 33 21 methodologies methodology NOUN cana-767 33 22 and and CCONJ cana-767 33 23 approaches approach NOUN cana-767 33 24 employed employ VERB cana-767 33 25 in in ADP cana-767 33 26 this this DET cana-767 33 27 field field NOUN cana-767 33 28 . . PUNCT cana-767 34 1 their their PRON cana-767 34 2 study study NOUN cana-767 34 3 contributed contribute VERB cana-767 34 4 to to ADP cana-767 34 5 the the DET cana-767 34 6 understanding understanding NOUN cana-767 34 7 of of ADP cana-767 34 8 the the DET cana-767 34 9 challenges challenge NOUN cana-767 34 10 and and CCONJ cana-767 34 11 opportunities opportunity NOUN cana-767 34 12 associated associate VERB cana-767 34 13 with with ADP cana-767 34 14 managing manage VERB cana-767 34 15 deteriorating deteriorate VERB cana-767 34 16 items item NOUN cana-767 34 17 in in ADP cana-767 34 18 various various ADJ cana-767 34 19 industries industry NOUN cana-767 34 20 . . PUNCT cana-767 35 1 abad abad PROPN cana-767 35 2 ( ( PUNCT cana-767 35 3 2001 2001 NUM cana-767 35 4 ) ) PUNCT cana-767 35 5 studied study VERB cana-767 35 6 ideal ideal ADJ cana-767 35 7 pricing pricing NOUN cana-767 35 8 and and CCONJ cana-767 35 9 order order NOUN cana-767 35 10 - - PUNCT cana-767 35 11 sizing size VERB cana-767 35 12 strategies strategy NOUN cana-767 35 13 for for ADP cana-767 35 14 a a DET cana-767 35 15 distributor distributor NOUN cana-767 35 16 , , PUNCT cana-767 35 17 focusing focus VERB cana-767 35 18 on on ADP cana-767 35 19 scenarios scenario NOUN cana-767 35 20 involving involve VERB cana-767 35 21 partial partial ADJ cana-767 35 22 backlog backlog NOUN cana-767 35 23 management management NOUN cana-767 35 24 , , PUNCT cana-767 35 25 addressing address VERB cana-767 35 26 the the DET cana-767 35 27 trade trade NOUN cana-767 35 28 - - PUNCT cana-767 35 29 offs off NOUN cana-767 35 30 between between ADP cana-767 35 31 pricing pricing NOUN cana-767 35 32 decisions decision NOUN cana-767 35 33 and and CCONJ cana-767 35 34 inventory inventory NOUN cana-767 35 35 management management NOUN cana-767 35 36 strategies strategy NOUN cana-767 35 37 in in ADP cana-767 35 38 a a DET cana-767 35 39 dynamic dynamic ADJ cana-767 35 40 market market NOUN cana-767 35 41 environment environment NOUN cana-767 35 42 . . PUNCT cana-767 36 1 communications communication NOUN cana-767 36 2 on on ADP cana-767 36 3 applied apply VERB cana-767 36 4 nonlinear nonlinear ADJ cana-767 36 5 analysis analysis NOUN cana-767 36 6 issn issn NOUN cana-767 36 7 : : PUNCT cana-767 36 8 1074 1074 NUM cana-767 36 9 - - PUNCT cana-767 36 10 133x 133x NUM cana-767 36 11 vol vol NOUN cana-767 36 12 31 31 NUM cana-767 36 13 no no NOUN cana-767 36 14 . . PUNCT cana-767 37 1 3s 3s NUM cana-767 37 2 ( ( PUNCT cana-767 37 3 2024 2024 NUM cana-767 37 4 ) ) PUNCT cana-767 37 5 305 305 NUM cana-767 37 6 https://internationalpubls.com https://internationalpubls.com X cana-767 37 7 ouyang ouyang PROPN cana-767 37 8 and and CCONJ cana-767 37 9 cheng cheng PROPN cana-767 37 10 ( ( PUNCT cana-767 37 11 2005 2005 NUM cana-767 37 12 ) ) PUNCT cana-767 37 13 presented present VERB cana-767 37 14 an an DET cana-767 37 15 inventory inventory NOUN cana-767 37 16 model model NOUN cana-767 37 17 designed design VERB cana-767 37 18 for for ADP cana-767 37 19 perishable perishable ADJ cana-767 37 20 goods good NOUN cana-767 37 21 with with ADP cana-767 37 22 an an DET cana-767 37 23 exponential exponential ADJ cana-767 37 24 decrease decrease NOUN cana-767 37 25 in in ADP cana-767 37 26 demand demand NOUN cana-767 37 27 , , PUNCT cana-767 37 28 incorporating incorporate VERB cana-767 37 29 the the DET cana-767 37 30 concept concept NOUN cana-767 37 31 of of ADP cana-767 37 32 partial partial ADJ cana-767 37 33 backlog backlog NOUN cana-767 37 34 management management NOUN cana-767 37 35 , , PUNCT cana-767 37 36 aiming aim VERB cana-767 37 37 to to PART cana-767 37 38 optimize optimize VERB cana-767 37 39 inventory inventory NOUN cana-767 37 40 policies policy NOUN cana-767 37 41 while while SCONJ cana-767 37 42 considering consider VERB cana-767 37 43 the the DET cana-767 37 44 dynamics dynamic NOUN cana-767 37 45 of of ADP cana-767 37 46 demand demand NOUN cana-767 37 47 and and CCONJ cana-767 37 48 backlog backlog NOUN cana-767 37 49 fulfilment fulfilment NOUN cana-767 37 50 . . PUNCT cana-767 38 1 tripathy tripathy PROPN cana-767 38 2 and and CCONJ cana-767 38 3 mishra mishra PROPN cana-767 38 4 ( ( PUNCT cana-767 38 5 2010 2010 NUM cana-767 38 6 ) ) PUNCT cana-767 38 7 examined examine VERB cana-767 38 8 inventory inventory NOUN cana-767 38 9 replenishment replenishment NOUN cana-767 38 10 strategies strategy NOUN cana-767 38 11 for for ADP cana-767 38 12 weibull weibull NOUN cana-767 38 13 deteriorating deteriorate VERB cana-767 38 14 items item NOUN cana-767 38 15 with with ADP cana-767 38 16 quadratic quadratic ADJ cana-767 38 17 demand demand NOUN cana-767 38 18 and and CCONJ cana-767 38 19 allowable allowable ADJ cana-767 38 20 payment payment NOUN cana-767 38 21 delays delay NOUN cana-767 38 22 , , PUNCT cana-767 38 23 contributing contribute VERB cana-767 38 24 to to ADP cana-767 38 25 the the DET cana-767 38 26 body body NOUN cana-767 38 27 of of ADP cana-767 38 28 literature literature NOUN cana-767 38 29 on on ADP cana-767 38 30 inventory inventory NOUN cana-767 38 31 management management NOUN cana-767 38 32 amidst amidst ADP cana-767 38 33 uncertainty uncertainty NOUN cana-767 38 34 and and CCONJ cana-767 38 35 credit credit NOUN cana-767 38 36 limitations limitation NOUN cana-767 38 37 . . PUNCT cana-767 39 1 singh singh NOUN cana-767 39 2 and and CCONJ cana-767 39 3 pattnayak pattnayak NOUN cana-767 39 4 ( ( PUNCT cana-767 39 5 2012 2012 NUM cana-767 39 6 , , PUNCT cana-767 39 7 2013 2013 NUM cana-767 39 8 ) ) PUNCT cana-767 39 9 proposed propose VERB cana-767 39 10 eoq eoq NOUN cana-767 39 11 models model NOUN cana-767 39 12 for for ADP cana-767 39 13 perishable perishable ADJ cana-767 39 14 goods good NOUN cana-767 39 15 with with ADP cana-767 39 16 time time NOUN cana-767 39 17 - - PUNCT cana-767 39 18 dependent dependent ADJ cana-767 39 19 demand demand NOUN cana-767 39 20 , , PUNCT cana-767 39 21 variable variable ADJ cana-767 39 22 deterioration deterioration NOUN cana-767 39 23 , , PUNCT cana-767 39 24 also also ADV cana-767 39 25 partial partial ADJ cana-767 39 26 backlog backlog NOUN cana-767 39 27 , , PUNCT cana-767 39 28 offering offer VERB cana-767 39 29 practical practical ADJ cana-767 39 30 insights insight NOUN cana-767 39 31 into into ADP cana-767 39 32 inventory inventory NOUN cana-767 39 33 optimization optimization NOUN cana-767 39 34 strategies strategy NOUN cana-767 39 35 under under ADP cana-767 39 36 various various ADJ cana-767 39 37 demand demand NOUN cana-767 39 38 and and CCONJ cana-767 39 39 cost cost NOUN cana-767 39 40 structures structure NOUN cana-767 39 41 . . PUNCT cana-767 40 1 amutha amutha NOUN cana-767 40 2 and and CCONJ cana-767 40 3 chandrasekaran chandrasekaran ADJ cana-767 40 4 ( ( PUNCT cana-767 40 5 2013 2013 NUM cana-767 40 6 ) ) PUNCT cana-767 40 7 investigated investigate VERB cana-767 40 8 an an DET cana-767 40 9 economic economic ADJ cana-767 40 10 order order NOUN cana-767 40 11 quantity quantity NOUN cana-767 40 12 model model NOUN cana-767 40 13 for for ADP cana-767 40 14 perishable perishable ADJ cana-767 40 15 goods good NOUN cana-767 40 16 with with ADP cana-767 40 17 quadratic quadratic ADJ cana-767 40 18 demand demand NOUN cana-767 40 19 and and CCONJ cana-767 40 20 time time NOUN cana-767 40 21 - - PUNCT cana-767 40 22 dependent dependent ADJ cana-767 40 23 holding holding NOUN cana-767 40 24 charges charge NOUN cana-767 40 25 , , PUNCT cana-767 40 26 highlighting highlight VERB cana-767 40 27 the the DET cana-767 40 28 importance importance NOUN cana-767 40 29 of of ADP cana-767 40 30 considering consider VERB cana-767 40 31 nonlinear nonlinear ADJ cana-767 40 32 cost cost NOUN cana-767 40 33 functions function NOUN cana-767 40 34 in in ADP cana-767 40 35 inventory inventory NOUN cana-767 40 36 management management NOUN cana-767 40 37 decisions decision NOUN cana-767 40 38 . . PUNCT cana-767 41 1 dash dash NOUN cana-767 41 2 , , PUNCT cana-767 41 3 singh singh NOUN cana-767 41 4 , , PUNCT cana-767 41 5 and and CCONJ cana-767 41 6 pattnayak pattnayak NOUN cana-767 41 7 ( ( PUNCT cana-767 41 8 2014 2014 NUM cana-767 41 9 ) ) PUNCT cana-767 41 10 proposed propose VERB cana-767 41 11 an an DET cana-767 41 12 inventory inventory NOUN cana-767 41 13 model model NOUN cana-767 41 14 for for ADP cana-767 41 15 perishable perishable ADJ cana-767 41 16 items item NOUN cana-767 41 17 with with ADP cana-767 41 18 exponentially exponentially ADV cana-767 41 19 decreasing decrease VERB cana-767 41 20 demand demand NOUN cana-767 41 21 and and CCONJ cana-767 41 22 holding hold VERB cana-767 41 23 costs cost NOUN cana-767 41 24 that that PRON cana-767 41 25 vary vary VERB cana-767 41 26 over over ADP cana-767 41 27 time time NOUN cana-767 41 28 , , PUNCT cana-767 41 29 addressing address VERB cana-767 41 30 the the DET cana-767 41 31 complexities complexity NOUN cana-767 41 32 of of ADP cana-767 41 33 inventory inventory NOUN cana-767 41 34 management management NOUN cana-767 41 35 amidst amidst ADP cana-767 41 36 fluctuating fluctuate VERB cana-767 41 37 cost cost NOUN cana-767 41 38 structures structure NOUN cana-767 41 39 . . PUNCT cana-767 42 1 dutta dutta PROPN cana-767 42 2 and and CCONJ cana-767 42 3 kumar kumar PROPN cana-767 42 4 ( ( PUNCT cana-767 42 5 2015 2015 NUM cana-767 42 6 ) ) PUNCT cana-767 42 7 formulated formulate VERB cana-767 42 8 a a DET cana-767 42 9 model model NOUN cana-767 42 10 for for ADP cana-767 42 11 managing manage VERB cana-767 42 12 partially partially ADV cana-767 42 13 backlogged backlogge VERB cana-767 42 14 inventory inventory NOUN cana-767 42 15 of of ADP cana-767 42 16 deteriorating deteriorate VERB cana-767 42 17 items item NOUN cana-767 42 18 , , PUNCT cana-767 42 19 considering consider VERB cana-767 42 20 fluctuating fluctuate VERB cana-767 42 21 demand demand NOUN cana-767 42 22 and and CCONJ cana-767 42 23 holding hold VERB cana-767 42 24 costs cost NOUN cana-767 42 25 over over ADP cana-767 42 26 time time NOUN cana-767 42 27 , , PUNCT cana-767 42 28 offering offer VERB cana-767 42 29 insights insight NOUN cana-767 42 30 into into ADP cana-767 42 31 inventory inventory NOUN cana-767 42 32 management management NOUN cana-767 42 33 strategies strategy NOUN cana-767 42 34 under under ADP cana-767 42 35 uncertain uncertain ADJ cana-767 42 36 demand demand NOUN cana-767 42 37 and and CCONJ cana-767 42 38 cost cost NOUN cana-767 42 39 conditions condition NOUN cana-767 42 40 . . PUNCT cana-767 43 1 uthayakumar uthayakumar PROPN cana-767 43 2 and and CCONJ cana-767 43 3 karuppasamy karuppasamy NOUN cana-767 43 4 ( ( PUNCT cana-767 43 5 2017 2017 NUM cana-767 43 6 ) ) PUNCT cana-767 43 7 explored explore VERB cana-767 43 8 a a DET cana-767 43 9 model model NOUN cana-767 43 10 for for ADP cana-767 43 11 managing manage VERB cana-767 43 12 inventory inventory NOUN cana-767 43 13 of of ADP cana-767 43 14 variable variable ADJ cana-767 43 15 deteriorating deteriorate VERB cana-767 43 16 pharmaceutical pharmaceutical ADJ cana-767 43 17 items item NOUN cana-767 43 18 , , PUNCT cana-767 43 19 considering consider VERB cana-767 43 20 time time NOUN cana-767 43 21 - - PUNCT cana-767 43 22 dependent dependent ADJ cana-767 43 23 demand demand NOUN cana-767 43 24 and and CCONJ cana-767 43 25 holding hold VERB cana-767 43 26 costs cost NOUN cana-767 43 27 while while SCONJ cana-767 43 28 utilizing utilize VERB cana-767 43 29 trade trade NOUN cana-767 43 30 credit credit NOUN cana-767 43 31 , , PUNCT cana-767 43 32 addressing address VERB cana-767 43 33 the the DET cana-767 43 34 unique unique ADJ cana-767 43 35 challenges challenge NOUN cana-767 43 36 faced face VERB cana-767 43 37 by by ADP cana-767 43 38 the the DET cana-767 43 39 healthcare healthcare NOUN cana-767 43 40 industry industry NOUN cana-767 43 41 in in ADP cana-767 43 42 managing manage VERB cana-767 43 43 perishable perishable ADJ cana-767 43 44 inventory inventory NOUN cana-767 43 45 . . PUNCT cana-767 44 1 sekar sekar PROPN cana-767 44 2 and and CCONJ cana-767 44 3 uthayakumar uthayakumar PROPN cana-767 44 4 ( ( PUNCT cana-767 44 5 2018 2018 NUM cana-767 44 6 ) ) PUNCT cana-767 44 7 investigated investigate VERB cana-767 44 8 a a DET cana-767 44 9 manufacturing manufacture VERB cana-767 44 10 inventory inventory NOUN cana-767 44 11 model model NOUN cana-767 44 12 for for ADP cana-767 44 13 coping cope VERB cana-767 44 14 with with ADP cana-767 44 15 exponentially exponentially ADV cana-767 44 16 rising rise VERB cana-767 44 17 demand demand NOUN cana-767 44 18 , , PUNCT cana-767 44 19 incorporating incorporate VERB cana-767 44 20 preservation preservation NOUN cana-767 44 21 technology technology NOUN cana-767 44 22 to to PART cana-767 44 23 mitigate mitigate VERB cana-767 44 24 shortages shortage NOUN cana-767 44 25 , , PUNCT cana-767 44 26 contributing contribute VERB cana-767 44 27 to to ADP cana-767 44 28 the the DET cana-767 44 29 understanding understanding NOUN cana-767 44 30 of of ADP cana-767 44 31 inventory inventory NOUN cana-767 44 32 management management NOUN cana-767 44 33 in in ADP cana-767 44 34 dynamic dynamic ADJ cana-767 44 35 production production NOUN cana-767 44 36 environments environment NOUN cana-767 44 37 . . PUNCT cana-767 45 1 babangida babangida ADJ cana-767 45 2 and and CCONJ cana-767 45 3 baraya baraya NOUN cana-767 45 4 ( ( PUNCT cana-767 45 5 2020 2020 NUM cana-767 45 6 ) ) PUNCT cana-767 45 7 proposed propose VERB cana-767 45 8 a a DET cana-767 45 9 model model NOUN cana-767 45 10 for for ADP cana-767 45 11 managing manage VERB cana-767 45 12 inventory inventory NOUN cana-767 45 13 of of ADP cana-767 45 14 non non ADJ cana-767 45 15 - - ADJ cana-767 45 16 instantaneously instantaneously ADV cana-767 45 17 perishable perishable ADJ cana-767 45 18 items item NOUN cana-767 45 19 with with ADP cana-767 45 20 time time NOUN cana-767 45 21 - - PUNCT cana-767 45 22 dependent dependent ADJ cana-767 45 23 quadratic quadratic ADJ cana-767 45 24 demand demand NOUN cana-767 45 25 , , PUNCT cana-767 45 26 involving involve VERB cana-767 45 27 two two NUM cana-767 45 28 storage storage NOUN cana-767 45 29 facilities facility NOUN cana-767 45 30 and and CCONJ cana-767 45 31 accounting account VERB cana-767 45 32 for for ADP cana-767 45 33 shortages shortage NOUN cana-767 45 34 within within ADP cana-767 45 35 a a DET cana-767 45 36 trade trade NOUN cana-767 45 37 credit credit NOUN cana-767 45 38 policy policy NOUN cana-767 45 39 , , PUNCT cana-767 45 40 addressing address VERB cana-767 45 41 the the DET cana-767 45 42 complexities complexity NOUN cana-767 45 43 of of ADP cana-767 45 44 managing manage VERB cana-767 45 45 inventory inventory NOUN cana-767 45 46 with with ADP cana-767 45 47 multiple multiple ADJ cana-767 45 48 constraints constraint NOUN cana-767 45 49 and and CCONJ cana-767 45 50 cost cost NOUN cana-767 45 51 considerations consideration NOUN cana-767 45 52 . . PUNCT cana-767 46 1 overall overall ADV cana-767 46 2 , , PUNCT cana-767 46 3 the the DET cana-767 46 4 reviewed review VERB cana-767 46 5 literature literature NOUN cana-767 46 6 underscores underscore VERB cana-767 46 7 the the DET cana-767 46 8 importance importance NOUN cana-767 46 9 of of ADP cana-767 46 10 developing develop VERB cana-767 46 11 tailored tailor VERB cana-767 46 12 inventory inventory NOUN cana-767 46 13 optimization optimization NOUN cana-767 46 14 models model NOUN cana-767 46 15 to to PART cana-767 46 16 address address VERB cana-767 46 17 the the DET cana-767 46 18 challenges challenge NOUN cana-767 46 19 of of ADP cana-767 46 20 managing manage VERB cana-767 46 21 deteriorating deteriorate VERB cana-767 46 22 items item NOUN cana-767 46 23 effectively effectively ADV cana-767 46 24 . . PUNCT cana-767 47 1 by by ADP cana-767 47 2 considering consider VERB cana-767 47 3 factors factor NOUN cana-767 47 4 such such ADJ cana-767 47 5 as as ADP cana-767 47 6 demand demand NOUN cana-767 47 7 variability variability NOUN cana-767 47 8 , , PUNCT cana-767 47 9 cost cost NOUN cana-767 47 10 structures structure NOUN cana-767 47 11 , , PUNCT cana-767 47 12 and and CCONJ cana-767 47 13 backlog backlog NOUN cana-767 47 14 management management NOUN cana-767 47 15 strategies strategy NOUN cana-767 47 16 , , PUNCT cana-767 47 17 businesses business NOUN cana-767 47 18 can can AUX cana-767 47 19 enhance enhance VERB cana-767 47 20 their their PRON cana-767 47 21 inventory inventory NOUN cana-767 47 22 management management NOUN cana-767 47 23 practices practice NOUN cana-767 47 24 and and CCONJ cana-767 47 25 improve improve VERB cana-767 47 26 overall overall ADJ cana-767 47 27 operational operational ADJ cana-767 47 28 efficiency efficiency NOUN cana-767 47 29 . . PUNCT cana-767 48 1 within within ADP cana-767 48 2 this this DET cana-767 48 3 investigation investigation NOUN cana-767 48 4 , , PUNCT cana-767 48 5 we we PRON cana-767 48 6 introduce introduce VERB cana-767 48 7 an an DET cana-767 48 8 eoq eoq NOUN cana-767 48 9 inventory inventory NOUN cana-767 48 10 model model NOUN cana-767 48 11 tailored tailor VERB cana-767 48 12 for for ADP cana-767 48 13 perishable perishable ADJ cana-767 48 14 goods good NOUN cana-767 48 15 . . PUNCT cana-767 49 1 our our PRON cana-767 49 2 model model NOUN cana-767 49 3 considers consider VERB cana-767 49 4 an an DET cana-767 49 5 exponentially exponentially ADV cana-767 49 6 increasing increase VERB cana-767 49 7 demand demand NOUN cana-767 49 8 function function NOUN cana-767 49 9 and and CCONJ cana-767 49 10 incorporates incorporate VERB cana-767 49 11 backlogging backlogge VERB cana-767 49 12 dynamics dynamic NOUN cana-767 49 13 tied tie VERB cana-767 49 14 to to ADP cana-767 49 15 the the DET cana-767 49 16 dwell dwell NOUN cana-767 49 17 time time NOUN cana-767 49 18 for for ADP cana-767 49 19 replenishment replenishment NOUN cana-767 49 20 . . PUNCT cana-767 50 1 the the DET cana-767 50 2 main main ADJ cana-767 50 3 objective objective NOUN cana-767 50 4 is be AUX cana-767 50 5 to to PART cana-767 50 6 reduce reduce VERB cana-767 50 7 total total ADJ cana-767 50 8 inventory inventory NOUN cana-767 50 9 expenses expense NOUN cana-767 50 10 . . PUNCT cana-767 51 1 we we PRON cana-767 51 2 illustrate illustrate VERB cana-767 51 3 the the DET cana-767 51 4 application application NOUN cana-767 51 5 and and CCONJ cana-767 51 6 solution solution NOUN cana-767 51 7 approach approach NOUN cana-767 51 8 of of ADP cana-767 51 9 the the DET cana-767 51 10 model model NOUN cana-767 51 11 through through ADP cana-767 51 12 numerical numerical ADJ cana-767 51 13 examples example NOUN cana-767 51 14 . . PUNCT cana-767 52 1 communications communication NOUN cana-767 52 2 on on ADP cana-767 52 3 applied apply VERB cana-767 52 4 nonlinear nonlinear ADJ cana-767 52 5 analysis analysis NOUN cana-767 52 6 issn issn NOUN cana-767 52 7 : : PUNCT cana-767 52 8 1074 1074 NUM cana-767 52 9 - - PUNCT cana-767 52 10 133x 133x NUM cana-767 52 11 vol vol NOUN cana-767 52 12 31 31 NUM cana-767 52 13 no no NOUN cana-767 52 14 . . PUNCT cana-767 53 1 3s 3s NUM cana-767 53 2 ( ( PUNCT cana-767 53 3 2024 2024 NUM cana-767 53 4 ) ) PUNCT cana-767 53 5 306 306 NUM cana-767 53 6 https://internationalpubls.com https://internationalpubls.com X cana-767 53 7 additionally additionally ADV cana-767 53 8 , , PUNCT cana-767 53 9 we we PRON cana-767 53 10 conduct conduct VERB cana-767 53 11 a a DET cana-767 53 12 sensitivity sensitivity NOUN cana-767 53 13 analysis analysis NOUN cana-767 53 14 on on ADP cana-767 53 15 key key ADJ cana-767 53 16 parameters parameter NOUN cana-767 53 17 to to PART cana-767 53 18 evaluate evaluate VERB cana-767 53 19 their their PRON cana-767 53 20 impact impact NOUN cana-767 53 21 on on ADP cana-767 53 22 the the DET cana-767 53 23 model model NOUN cana-767 53 24 's 's PART cana-767 53 25 performance performance NOUN cana-767 53 26 . . PUNCT cana-767 54 1 3 3 X cana-767 54 2 . . NOUN cana-767 54 3 assumptions assumption NOUN cana-767 54 4 and and CCONJ cana-767 54 5 notations notation NOUN cana-767 54 6 ➒ ➒ VERB cana-767 54 7 the the DET cana-767 54 8 demand demand NOUN cana-767 54 9 rate rate NOUN cana-767 54 10 for for ADP cana-767 54 11 the the DET cana-767 54 12 item item NOUN cana-767 54 13 exhibits exhibit VERB cana-767 54 14 exponential exponential ADJ cana-767 54 15 time time NOUN cana-767 54 16 dependence dependence NOUN cana-767 54 17 . . PUNCT cana-767 55 1 ( ( PUNCT cana-767 55 2 i.e. i.e. X cana-767 55 3 ) ) PUNCT cana-767 55 4 𝐷(𝑑 𝐷(𝑑 NOUN cana-767 55 5 ) ) PUNCT cana-767 55 6 = = SYM cana-767 55 7 π‘’πœ‡π‘‘ π‘’πœ‡π‘‘ PROPN cana-767 55 8 , , PUNCT cana-767 55 9 π‘€β„Žπ‘’π‘Ÿπ‘’ π‘€β„Žπ‘’π‘Ÿπ‘’ NOUN cana-767 55 10 πœ‡ πœ‡ ADP cana-767 55 11 𝑖𝑠 𝑖𝑠 NOUN cana-767 55 12 π‘π‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘. π‘π‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘. NOUN cana-767 55 13 ➒ ➒ NOUN cana-767 55 14 the the DET cana-767 55 15 lead lead ADJ cana-767 55 16 time time NOUN cana-767 55 17 is be AUX cana-767 55 18 constant constant ADJ cana-767 55 19 . . PUNCT cana-767 56 1 ➒ ➒ NOUN cana-767 56 2 shortages shortage NOUN cana-767 56 3 are be AUX cana-767 56 4 permissible permissible ADJ cana-767 56 5 , , PUNCT cana-767 56 6 and and CCONJ cana-767 56 7 during during ADP cana-767 56 8 periods period NOUN cana-767 56 9 of of ADP cana-767 56 10 stockouts stockout NOUN cana-767 56 11 , , PUNCT cana-767 56 12 the the DET cana-767 56 13 backlogging backlogge VERB cana-767 56 14 rate rate NOUN cana-767 56 15 varies vary VERB cana-767 56 16 and and CCONJ cana-767 56 17 is be AUX cana-767 56 18 contingent contingent ADJ cana-767 56 19 upon upon SCONJ cana-767 56 20 the the DET cana-767 56 21 length length NOUN cana-767 56 22 of of ADP cana-767 56 23 the the DET cana-767 56 24 wait wait NOUN cana-767 56 25 for for ADP cana-767 56 26 the the DET cana-767 56 27 next next ADJ cana-767 56 28 restocking restocking NOUN cana-767 56 29 . . PUNCT cana-767 57 1 specifically specifically ADV cana-767 57 2 , , PUNCT cana-767 57 3 the the DET cana-767 57 4 backorder backorder NOUN cana-767 57 5 rate rate NOUN cana-767 57 6 is be AUX cana-767 57 7 defined define VERB cana-767 57 8 as as ADP cana-767 57 9 𝐡(𝑑 𝐡(𝑑 NOUN cana-767 57 10 ) ) PUNCT cana-767 57 11 = = PUNCT cana-767 58 1 π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘ π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘ NOUN cana-767 58 2 ) ) PUNCT cana-767 58 3 , , PUNCT cana-767 58 4 where where SCONJ cana-767 58 5 Ξ΄ Ξ΄ PROPN cana-767 58 6 represents represent VERB cana-767 58 7 the the DET cana-767 58 8 backlogging backlogge VERB cana-767 58 9 parameter parameter NOUN cana-767 58 10 with with ADP cana-767 58 11 a a DET cana-767 58 12 range range NOUN cana-767 58 13 of of ADP cana-767 58 14 0 0 NUM cana-767 58 15 to to PART cana-767 58 16 1 1 NUM cana-767 58 17 , , PUNCT cana-767 58 18 and and CCONJ cana-767 58 19 the the DET cana-767 58 20 parameter parameter NOUN cana-767 58 21 ( ( PUNCT cana-767 58 22 t t PROPN cana-767 58 23 - - PUNCT cana-767 58 24 t t PROPN cana-767 58 25 ) ) PUNCT cana-767 58 26 denotes denote VERB cana-767 58 27 the the DET cana-767 58 28 dwell dwell NOUN cana-767 58 29 time time NOUN cana-767 58 30 , , PUNCT cana-767 58 31 where where SCONJ cana-767 58 32 𝑑1 𝑑1 NOUN cana-767 58 33 ≀ ≀ NOUN cana-767 58 34 𝑑 𝑑 VERB cana-767 58 35 ≀ ≀ PROPN cana-767 58 36 𝑇. 𝑇. PROPN cana-767 58 37 ➒ ➒ NOUN cana-767 58 38 𝐼1(𝑑 𝐼1(𝑑 NOUN cana-767 58 39 ) ) PUNCT cana-767 58 40 – – PUNCT cana-767 58 41 stock stock NOUN cana-767 58 42 level level NOUN cana-767 58 43 at at ADP cana-767 58 44 time time NOUN cana-767 58 45 t t PROPN cana-767 58 46 , , PUNCT cana-767 58 47 0 0 NUM cana-767 59 1 ≀ ≀ NUM cana-767 59 2 𝑑 𝑑 PROPN cana-767 59 3 ≀ ≀ ADJ cana-767 59 4 𝑑1 𝑑1 NOUN cana-767 59 5 . . PUNCT cana-767 60 1 ➒ ➒ PROPN cana-767 60 2 𝐼2(𝑑 𝐼2(𝑑 PROPN cana-767 60 3 ) ) PUNCT cana-767 60 4 – – PUNCT cana-767 60 5 stock stock NOUN cana-767 60 6 level level NOUN cana-767 60 7 at at ADP cana-767 60 8 time time NOUN cana-767 60 9 t t PROPN cana-767 60 10 , , PUNCT cana-767 61 1 𝑑1 𝑑1 ADJ cana-767 61 2 ≀ ≀ NUM cana-767 61 3 𝑑 𝑑 VERB cana-767 61 4 ≀ ≀ PROPN cana-767 61 5 𝑇. 𝑇. PROPN cana-767 61 6 ➒ ➒ NOUN cana-767 61 7 t t NOUN cana-767 61 8 – – PUNCT cana-767 61 9 duration duration NOUN cana-767 61 10 of of ADP cana-767 61 11 the the DET cana-767 61 12 inventory inventory NOUN cana-767 61 13 cycle cycle NOUN cana-767 61 14 . . PUNCT cana-767 62 1 ➒ ➒ VERB cana-767 62 2 𝑑1 𝑑1 NOUN cana-767 62 3 – – PUNCT cana-767 62 4 the the DET cana-767 62 5 duration duration NOUN cana-767 62 6 of of ADP cana-767 62 7 time time NOUN cana-767 62 8 during during ADP cana-767 62 9 which which PRON cana-767 62 10 the the DET cana-767 62 11 inventory inventory NOUN cana-767 62 12 remains remain VERB cana-767 62 13 without without ADP cana-767 62 14 any any DET cana-767 62 15 shortage shortage NOUN cana-767 62 16 . . PUNCT cana-767 63 1 ➒ ➒ NOUN cana-767 63 2 co co NOUN cana-767 63 3 – – PUNCT cana-767 63 4 ordering order VERB cana-767 63 5 cost cost NOUN cana-767 63 6 ( ( PUNCT cana-767 63 7 oc oc NOUN cana-767 63 8 ) ) PUNCT cana-767 63 9 . . PUNCT cana-767 64 1 ➒ ➒ VERB cana-767 64 2 cp cp INTJ cana-767 64 3 – – PUNCT cana-767 64 4 purchase purchase NOUN cana-767 64 5 cost cost NOUN cana-767 64 6 ( ( PUNCT cana-767 64 7 pc pc NOUN cana-767 64 8 ) ) PUNCT cana-767 64 9 . . PUNCT cana-767 65 1 ➒ ➒ VERB cana-767 65 2 ch ch NOUN cana-767 65 3 – – PUNCT cana-767 65 4 holding hold VERB cana-767 65 5 cost cost NOUN cana-767 65 6 ( ( PUNCT cana-767 65 7 hc hc NOUN cana-767 65 8 ) ) PUNCT cana-767 65 9 is be AUX cana-767 65 10 constant constant ADJ cana-767 65 11 . . PUNCT cana-767 66 1 ➒ ➒ PROPN cana-767 66 2 πœƒ πœƒ X cana-767 66 3 – – PUNCT cana-767 66 4 the the DET cana-767 66 5 constant constant ADJ cana-767 66 6 deterioration deterioration NOUN cana-767 66 7 rates rate NOUN cana-767 66 8 . . PUNCT cana-767 67 1 ➒ ➒ PROPN cana-767 67 2 cd cd PROPN cana-767 67 3 – – PUNCT cana-767 67 4 the the DET cana-767 67 5 cost cost NOUN cana-767 67 6 of of ADP cana-767 67 7 deteriorated deteriorated ADJ cana-767 67 8 items item NOUN cana-767 67 9 ( ( PUNCT cana-767 67 10 dc dc PROPN cana-767 67 11 ) ) PUNCT cana-767 67 12 . . PUNCT cana-767 68 1 ➒ ➒ VERB cana-767 68 2 cs cs PROPN cana-767 68 3 – – PUNCT cana-767 68 4 the the DET cana-767 68 5 cost cost NOUN cana-767 68 6 associated associate VERB cana-767 68 7 with with ADP cana-767 68 8 shortages shortage NOUN cana-767 68 9 of of ADP cana-767 68 10 backlogged backlogged ADJ cana-767 68 11 items item NOUN cana-767 68 12 . . PUNCT cana-767 69 1 ➒ ➒ VERB cana-767 69 2 cl cl NOUN cana-767 69 3 – – PUNCT cana-767 69 4 the the DET cana-767 69 5 financial financial ADJ cana-767 69 6 impact impact NOUN cana-767 69 7 resulting result VERB cana-767 69 8 from from ADP cana-767 69 9 lost lose VERB cana-767 69 10 sales sale NOUN cana-767 69 11 . . PUNCT cana-767 70 1 ➒ ➒ VERB cana-767 70 2 𝛿 𝛿 ADJ cana-767 70 3 – – PUNCT cana-767 70 4 backlogging backlogge VERB cana-767 70 5 parameter parameter NOUN cana-767 70 6 . . PUNCT cana-767 71 1 ➒ ➒ PROPN cana-767 71 2 𝐡(𝑑 𝐡(𝑑 NOUN cana-767 71 3 ) ) PUNCT cana-767 71 4 – – PUNCT cana-767 71 5 backlog backlog NOUN cana-767 71 6 inventory inventory NOUN cana-767 71 7 level level NOUN cana-767 71 8 ➒ ➒ NOUN cana-767 71 9 ct ct NUM cana-767 71 10 – – PUNCT cana-767 71 11 total total ADJ cana-767 71 12 cost cost NOUN cana-767 71 13 ( ( PUNCT cana-767 71 14 tc tc NOUN cana-767 71 15 ) ) PUNCT cana-767 71 16 . . PUNCT cana-767 72 1 4 4 X cana-767 72 2 . . X cana-767 72 3 mathematical mathematical ADJ cana-767 72 4 formulation formulation NOUN cana-767 72 5 time time NOUN cana-767 72 6 t t PROPN cana-767 72 7 t1 t1 NOUN cana-767 72 8 q q PROPN cana-767 72 9 bi bi ADJ cana-767 72 10 q q NOUN cana-767 72 11 ’ ' PUNCT cana-767 72 12 lost lose VERB cana-767 72 13 sales sale NOUN cana-767 72 14 communications communication NOUN cana-767 72 15 on on ADP cana-767 72 16 applied apply VERB cana-767 72 17 nonlinear nonlinear ADJ cana-767 72 18 analysis analysis NOUN cana-767 72 19 issn issn NOUN cana-767 72 20 : : PUNCT cana-767 72 21 1074 1074 NUM cana-767 72 22 - - PUNCT cana-767 72 23 133x 133x NUM cana-767 72 24 vol vol NOUN cana-767 72 25 31 31 NUM cana-767 72 26 no no NOUN cana-767 72 27 . . PUNCT cana-767 73 1 3s 3s NUM cana-767 73 2 ( ( PUNCT cana-767 73 3 2024 2024 NUM cana-767 73 4 ) ) PUNCT cana-767 73 5 307 307 NUM cana-767 73 6 https://internationalpubls.com https://internationalpubls.com X cana-767 73 7 let let AUX cana-767 73 8 i1(t i1(t PUNCT cana-767 73 9 ) ) PUNCT cana-767 73 10 represent represent VERB cana-767 73 11 the the DET cana-767 73 12 current current ADJ cana-767 73 13 stock stock NOUN cana-767 73 14 at at ADP cana-767 73 15 any any DET cana-767 73 16 time time NOUN cana-767 73 17 instant instant ADJ cana-767 73 18 t t PROPN cana-767 73 19 ( ( PUNCT cana-767 73 20 0 0 NUM cana-767 73 21 ≀ ≀ NUM cana-767 73 22 𝑑 𝑑 PROPN cana-767 73 23 ≀ ≀ ADJ cana-767 73 24 𝑑1 𝑑1 NOUN cana-767 73 25 ) ) PUNCT cana-767 73 26 . . PUNCT cana-767 74 1 an an DET cana-767 74 2 stock stock NOUN cana-767 74 3 level level NOUN cana-767 74 4 is be AUX cana-767 74 5 q q PUNCT cana-767 74 6 at at ADP cana-767 74 7 t t NOUN cana-767 74 8 = = SYM cana-767 74 9 0 0 NUM cana-767 74 10 and and CCONJ cana-767 74 11 the the DET cana-767 74 12 stock stock NOUN cana-767 74 13 level level NOUN cana-767 74 14 drops drop VERB cana-767 74 15 to to ADP cana-767 74 16 zero zero NUM cana-767 74 17 at at ADP cana-767 74 18 t t NOUN cana-767 74 19 = = PUNCT cana-767 74 20 𝑑1 𝑑1 PROPN cana-767 74 21 . . PUNCT cana-767 75 1 the the DET cana-767 75 2 proportion proportion NOUN cana-767 75 3 of of ADP cana-767 75 4 variation variation NOUN cana-767 75 5 of of ADP cana-767 75 6 inventory inventory NOUN cana-767 75 7 level level NOUN cana-767 75 8 is be AUX cana-767 75 9 specified specify VERB cana-767 75 10 by by ADP cana-767 75 11 , , PUNCT cana-767 75 12 𝑑𝐼1(𝑑 𝑑𝐼1(𝑑 NOUN cana-767 75 13 ) ) PUNCT cana-767 75 14 𝑑𝑑 𝑑𝑑 ADP cana-767 75 15 + + NUM cana-767 75 16 πœƒπΌ1(𝑑 πœƒπΌ1(𝑑 NOUN cana-767 75 17 ) ) PUNCT cana-767 75 18 = = SYM cana-767 75 19 βˆ’π‘’πœ‡π‘‘ βˆ’π‘’πœ‡π‘‘ PROPN cana-767 75 20 , , PUNCT cana-767 75 21 0 0 NUM cana-767 76 1 ≀ ≀ NUM cana-767 76 2 𝑑 𝑑 PROPN cana-767 76 3 ≀ ≀ ADJ cana-767 76 4 𝑑1 𝑑1 NOUN cana-767 76 5 through through ADP cana-767 76 6 boundary boundary ADJ cana-767 76 7 conditions condition NOUN cana-767 76 8 i1(0 i1(0 PROPN cana-767 76 9 ) ) PUNCT cana-767 76 10 = = SYM cana-767 77 1 q q PROPN cana-767 77 2 & & CCONJ cana-767 77 3 i1(𝑑1)=0 i1(𝑑1)=0 PROPN cana-767 77 4 . . PUNCT cana-767 78 1 the the DET cana-767 78 2 solution solution NOUN cana-767 78 3 of of ADP cana-767 78 4 ( ( PUNCT cana-767 78 5 1 1 NUM cana-767 78 6 ) ) PUNCT cana-767 78 7 is be AUX cana-767 78 8 𝐼1(𝑑 𝐼1(𝑑 NOUN cana-767 78 9 ) ) PUNCT cana-767 79 1 = = PRON cana-767 79 2 ( ( PUNCT cana-767 79 3 𝑑1βˆ’π‘‘ 𝑑1βˆ’π‘‘ PROPN cana-767 79 4 ) ) PUNCT cana-767 79 5 1+πœƒπ‘‘ 1+πœƒπ‘‘ NUM cana-767 80 1 [ [ X cana-767 80 2 1 1 NUM cana-767 80 3 + + CCONJ cana-767 80 4 ( ( PUNCT cana-767 80 5 πœ‡+πœƒ πœ‡+πœƒ NOUN cana-767 80 6 ) ) PUNCT cana-767 80 7 2 2 NUM cana-767 80 8 ( ( PUNCT cana-767 80 9 𝑑1 𝑑1 NOUN cana-767 80 10 + + CCONJ cana-767 80 11 𝑑 𝑑 NOUN cana-767 80 12 ) ) PUNCT cana-767 80 13 ] ] PUNCT cana-767 80 14 and and CCONJ cana-767 80 15 𝑄 𝑄 PROPN cana-767 80 16 = = SYM cana-767 80 17 𝑑1 𝑑1 NOUN cana-767 80 18 + + CCONJ cana-767 80 19 ( ( PUNCT cana-767 80 20 πœ‡ πœ‡ X cana-767 80 21 + + X cana-767 80 22 πœƒ πœƒ NOUN cana-767 80 23 ) ) PUNCT cana-767 80 24 𝑑1 𝑑1 NOUN cana-767 80 25 2 2 NUM cana-767 80 26 2 2 NUM cana-767 80 27 during during ADP cana-767 80 28 the the DET cana-767 80 29 interval interval NOUN cana-767 80 30 [ [ X cana-767 80 31 𝑑1,t 𝑑1,t PROPN cana-767 80 32 ] ] PUNCT cana-767 80 33 , , PUNCT cana-767 80 34 shortages shortage NOUN cana-767 80 35 occur occur VERB cana-767 80 36 also also ADV cana-767 80 37 the the DET cana-767 80 38 demand demand NOUN cana-767 80 39 is be AUX cana-767 80 40 partially partially ADV cana-767 80 41 backlogged backlogge VERB cana-767 80 42 . . PUNCT cana-767 81 1 let let AUX cana-767 81 2 𝐼2(𝑑 𝐼2(𝑑 PROPN cana-767 81 3 ) ) PUNCT cana-767 81 4 represent represent VERB cana-767 81 5 the the DET cana-767 81 6 inventory inventory NOUN cana-767 81 7 level level NOUN cana-767 81 8 at at ADP cana-767 81 9 𝑑(𝑑1 𝑑(𝑑1 NOUN cana-767 81 10 ≀ ≀ NUM cana-767 81 11 𝑑 𝑑 PROPN cana-767 81 12 ≀ ≀ PROPN cana-767 81 13 𝑇 𝑇 PROPN cana-767 81 14 ) ) PUNCT cana-767 81 15 then then ADV cana-767 81 16 the the DET cana-767 81 17 differential differential ADJ cana-767 81 18 equation equation NOUN cana-767 81 19 is be AUX cana-767 81 20 𝑑𝐼2(𝑑 𝑑𝐼2(𝑑 NOUN cana-767 81 21 ) ) PUNCT cana-767 81 22 𝑑𝑑 𝑑𝑑 ADP cana-767 81 23 = = PUNCT cana-767 81 24 βˆ’π‘’πœ‡π‘‘π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘ βˆ’π‘’πœ‡π‘‘π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘ PROPN cana-767 81 25 ) ) PUNCT cana-767 81 26 , , PUNCT cana-767 81 27 𝑑1 𝑑1 NOUN cana-767 81 28 ≀ ≀ NUM cana-767 81 29 𝑑 𝑑 VERB cana-767 81 30 ≀ ≀ NOUN cana-767 81 31 𝑇 𝑇 PROPN cana-767 81 32 with with ADP cana-767 81 33 boundary boundary ADJ cana-767 81 34 conditions condition NOUN cana-767 81 35 𝑑 𝑑 X cana-767 81 36 = = SYM cana-767 81 37 𝑑1 𝑑1 PROPN cana-767 81 38 , , PUNCT cana-767 81 39 𝐼2(𝑑 𝐼2(𝑑 PROPN cana-767 81 40 ) ) PUNCT cana-767 81 41 = = NOUN cana-767 82 1 0 0 X cana-767 82 2 . . PUNCT cana-767 83 1 the the DET cana-767 83 2 solution solution NOUN cana-767 83 3 of of ADP cana-767 83 4 ( ( PUNCT cana-767 83 5 2 2 NUM cana-767 83 6 ) ) PUNCT cana-767 83 7 is be AUX cana-767 83 8 𝐼2(𝑑 𝐼2(𝑑 PROPN cana-767 83 9 ) ) PUNCT cana-767 84 1 = = PRON cana-767 84 2 ( ( PUNCT cana-767 84 3 𝑑1 𝑑1 NOUN cana-767 84 4 βˆ’ βˆ’ PROPN cana-767 84 5 𝑑 𝑑 PROPN cana-767 84 6 ) ) PUNCT cana-767 85 1 [ [ X cana-767 85 2 1 1 NUM cana-767 85 3 βˆ’ βˆ’ NOUN cana-767 85 4 𝛿𝑇 𝛿𝑇 ADJ cana-767 85 5 + + CCONJ cana-767 85 6 ( ( PUNCT cana-767 85 7 πœ‡ πœ‡ X cana-767 85 8 + + X cana-767 85 9 𝛿 𝛿 X cana-767 85 10 ) ) PUNCT cana-767 85 11 2 2 NUM cana-767 85 12 ( ( PUNCT cana-767 85 13 𝑑1 𝑑1 NOUN cana-767 85 14 + + CCONJ cana-767 85 15 𝑑 𝑑 NOUN cana-767 85 16 ) ) PUNCT cana-767 85 17 ] ] PUNCT cana-767 85 18 the the DET cana-767 85 19 highest high ADJ cana-767 85 20 level level NOUN cana-767 85 21 of of ADP cana-767 85 22 backordered backordered ADJ cana-767 85 23 inventory inventory NOUN cana-767 85 24 denoted denote VERB cana-767 85 25 as as SCONJ cana-767 85 26 bi bi NOUN cana-767 85 27 is be AUX cana-767 85 28 reached reach VERB cana-767 85 29 at at ADP cana-767 85 30 t t PROPN cana-767 85 31 = = PROPN cana-767 85 32 t. t. NOUN cana-767 85 33 𝐡𝐼 𝐡𝐼 PROPN cana-767 85 34 = = PUNCT cana-767 85 35 βˆ’πΌ2(𝑑 βˆ’πΌ2(𝑑 PROPN cana-767 85 36 ) ) PUNCT cana-767 85 37 = = PUNCT cana-767 86 1 βˆ’(𝑑1 βˆ’(𝑑1 NUM cana-767 86 2 βˆ’ βˆ’ PROPN cana-767 86 3 𝑇 𝑇 PROPN cana-767 86 4 ) ) PUNCT cana-767 87 1 [ [ X cana-767 87 2 1 1 NUM cana-767 87 3 + + CCONJ cana-767 87 4 ( ( PUNCT cana-767 87 5 πœ‡ πœ‡ X cana-767 87 6 + + X cana-767 87 7 𝛿 𝛿 X cana-767 87 8 ) ) PUNCT cana-767 87 9 2 2 NUM cana-767 87 10 𝑑1 𝑑1 NOUN cana-767 87 11 + + CCONJ cana-767 87 12 ( ( PUNCT cana-767 87 13 πœ‡ πœ‡ ADP cana-767 87 14 βˆ’ βˆ’ ADP cana-767 87 15 𝛿 𝛿 ADJ cana-767 87 16 ) ) PUNCT cana-767 87 17 2 2 NUM cana-767 87 18 𝑇 𝑇 PROPN cana-767 87 19 ] ] PUNCT cana-767 87 20 therefore therefore ADV cana-767 87 21 , , PUNCT cana-767 87 22 the the DET cana-767 87 23 total total ADJ cana-767 87 24 order order NOUN cana-767 87 25 quantity quantity NOUN cana-767 87 26 during during ADP cana-767 87 27 the the DET cana-767 87 28 entire entire ADJ cana-767 87 29 time time NOUN cana-767 87 30 interval interval NOUN cana-767 87 31 [ [ X cana-767 87 32 0,t 0,t X cana-767 87 33 ] ] X cana-767 87 34 is be AUX cana-767 87 35 q’=q+bi= q’=q+bi= NOUN cana-767 87 36 𝑑1 𝑑1 NOUN cana-767 87 37 + + CCONJ cana-767 87 38 ( ( PUNCT cana-767 87 39 πœ‡ πœ‡ X cana-767 87 40 + + X cana-767 87 41 πœƒ πœƒ NOUN cana-767 87 42 ) ) PUNCT cana-767 87 43 𝑑1 𝑑1 NOUN cana-767 87 44 2 2 NUM cana-767 87 45 2 2 NUM cana-767 87 46 βˆ’ βˆ’ NOUN cana-767 87 47 ( ( PUNCT cana-767 87 48 𝑑1 𝑑1 NOUN cana-767 87 49 βˆ’ βˆ’ PROPN cana-767 87 50 𝑇 𝑇 PROPN cana-767 87 51 ) ) PUNCT cana-767 88 1 [ [ X cana-767 88 2 1 1 NUM cana-767 88 3 + + CCONJ cana-767 88 4 ( ( PUNCT cana-767 88 5 πœ‡+𝛿 πœ‡+𝛿 NOUN cana-767 88 6 ) ) PUNCT cana-767 88 7 2 2 NUM cana-767 88 8 𝑑1 𝑑1 NOUN cana-767 88 9 + + CCONJ cana-767 88 10 ( ( PUNCT cana-767 88 11 πœ‡βˆ’π›Ώ πœ‡βˆ’π›Ώ PROPN cana-767 88 12 ) ) PUNCT cana-767 88 13 2 2 NUM cana-767 88 14 𝑇 𝑇 PROPN cana-767 88 15 ] ] PUNCT cana-767 88 16 holding hold VERB cana-767 88 17 charge charge NOUN cana-767 88 18 ( ( PUNCT cana-767 88 19 𝐻𝐢 𝐻𝐢 PROPN cana-767 88 20 ) ) PUNCT cana-767 88 21 = = SYM cana-767 88 22 ∫ ∫ X cana-767 88 23 πΆβ„ŽπΌ1(𝑑)𝑑𝑑 πΆβ„ŽπΌ1(𝑑)𝑑𝑑 X cana-767 88 24 𝑑1 𝑑1 NOUN cana-767 88 25 0 0 NUM cana-767 88 26 𝐻𝐢 𝐻𝐢 PROPN cana-767 88 27 = = PUNCT cana-767 88 28 πΆβ„Žπ‘‘1 πΆβ„Žπ‘‘1 NUM cana-767 88 29 2 2 NUM cana-767 88 30 24 24 NUM cana-767 89 1 [ [ PUNCT cana-767 89 2 12 12 NUM cana-767 89 3 + + CCONJ cana-767 89 4 4𝑑1(πœƒ 4𝑑1(πœƒ NUM cana-767 89 5 + + NUM cana-767 89 6 2πœ‡ 2πœ‡ NUM cana-767 89 7 ) ) PUNCT cana-767 90 1 βˆ’ βˆ’ PROPN cana-767 90 2 3πœƒπ‘‘1 3πœƒπ‘‘1 NUM cana-767 91 1 2(πœ‡ 2(πœ‡ NUM cana-767 91 2 + + CCONJ cana-767 91 3 πœƒ πœƒ X cana-767 91 4 ) ) PUNCT cana-767 91 5 ] ] PUNCT cana-767 92 1 ordering order VERB cana-767 92 2 charge charge NOUN cana-767 92 3 ( ( PUNCT cana-767 92 4 oc oc NOUN cana-767 92 5 ) ) PUNCT cana-767 92 6 = = SYM cana-767 92 7 c0 c0 NOUN cana-767 92 8 purchase purchase NOUN cana-767 92 9 charge charge NOUN cana-767 92 10 ( ( PUNCT cana-767 92 11 pc pc NOUN cana-767 92 12 ) ) PUNCT cana-767 92 13 = = PUNCT cana-767 92 14 cp cp INTJ cana-767 92 15 q q NOUN cana-767 92 16 ’ ' PUNCT cana-767 92 17 pc pc NOUN cana-767 92 18 = = SYM cana-767 92 19 cp cp NOUN cana-767 93 1 [ [ X cana-767 93 2 𝑑1 𝑑1 NOUN cana-767 93 3 + + CCONJ cana-767 93 4 ( ( PUNCT cana-767 93 5 πœ‡ πœ‡ X cana-767 93 6 + + X cana-767 93 7 πœƒ πœƒ NOUN cana-767 93 8 ) ) PUNCT cana-767 93 9 𝑑1 𝑑1 NOUN cana-767 93 10 2 2 NUM cana-767 93 11 2 2 NUM cana-767 93 12 βˆ’ βˆ’ NOUN cana-767 93 13 ( ( PUNCT cana-767 93 14 𝑑1 𝑑1 NOUN cana-767 93 15 βˆ’ βˆ’ PROPN cana-767 93 16 𝑇 𝑇 PROPN cana-767 93 17 ) ) PUNCT cana-767 94 1 [ [ X cana-767 94 2 1 1 NUM cana-767 94 3 + + CCONJ cana-767 94 4 ( ( PUNCT cana-767 94 5 πœ‡+𝛿 πœ‡+𝛿 NOUN cana-767 94 6 ) ) PUNCT cana-767 94 7 2 2 NUM cana-767 94 8 𝑑1 𝑑1 NOUN cana-767 94 9 + + CCONJ cana-767 94 10 ( ( PUNCT cana-767 94 11 πœ‡βˆ’π›Ώ πœ‡βˆ’π›Ώ PROPN cana-767 94 12 ) ) PUNCT cana-767 94 13 2 2 NUM cana-767 94 14 𝑇 𝑇 PROPN cana-767 94 15 ] ] PUNCT cana-767 94 16 ] ] X cana-767 94 17 deterioration deterioration NOUN cana-767 94 18 charge charge NOUN cana-767 94 19 ( ( PUNCT cana-767 94 20 dc dc PROPN cana-767 94 21 ) ) PUNCT cana-767 94 22 = = SYM cana-767 95 1 𝐢𝑑 𝐢𝑑 PROPN cana-767 95 2 { { PUNCT cana-767 95 3 𝑄 𝑄 PROPN cana-767 95 4 βˆ’ βˆ’ PROPN cana-767 95 5 ∫ ∫ PROPN cana-767 95 6 𝐷(𝑑)𝑑𝑑 𝐷(𝑑)𝑑𝑑 PROPN cana-767 95 7 𝑑1 𝑑1 NOUN cana-767 95 8 0 0 NUM cana-767 95 9 } } PUNCT cana-767 95 10 = = SYM cana-767 95 11 cd cd PROPN cana-767 95 12 [ [ PUNCT cana-767 95 13 πœƒπ‘‘1 πœƒπ‘‘1 X cana-767 95 14 2 2 NUM cana-767 95 15 2 2 NUM cana-767 95 16 ] ] PUNCT cana-767 95 17 shortage shortage NOUN cana-767 95 18 charge charge NOUN cana-767 95 19 = = SYM cana-767 95 20 βˆ’πΆπ‘  βˆ’πΆπ‘  PROPN cana-767 95 21 ∫ ∫ PROPN cana-767 95 22 𝐼2(𝑑)𝑑𝑑 𝐼2(𝑑)𝑑𝑑 PROPN cana-767 95 23 𝑇 𝑇 PROPN cana-767 95 24 𝑑1 𝑑1 NOUN cana-767 95 25 ( ( PUNCT cana-767 95 26 1 1 NUM cana-767 95 27 ) ) PUNCT cana-767 95 28 ( ( PUNCT cana-767 95 29 2 2 X cana-767 95 30 ) ) PUNCT cana-767 95 31 communications communication NOUN cana-767 95 32 on on ADP cana-767 95 33 applied apply VERB cana-767 95 34 nonlinear nonlinear ADJ cana-767 95 35 analysis analysis NOUN cana-767 95 36 issn issn NOUN cana-767 95 37 : : PUNCT cana-767 95 38 1074 1074 NUM cana-767 95 39 - - PUNCT cana-767 95 40 133x 133x NUM cana-767 95 41 vol vol NOUN cana-767 95 42 31 31 NUM cana-767 95 43 no no NOUN cana-767 95 44 . . PUNCT cana-767 96 1 3s 3s NUM cana-767 96 2 ( ( PUNCT cana-767 96 3 2024 2024 NUM cana-767 96 4 ) ) PUNCT cana-767 96 5 308 308 NUM cana-767 96 6 https://internationalpubls.com https://internationalpubls.com X cana-767 96 7 = = SYM cana-767 96 8 𝐢𝑠(𝑑1 𝐢𝑠(𝑑1 PROPN cana-767 96 9 βˆ’ βˆ’ PROPN cana-767 96 10 𝑇 𝑇 PROPN cana-767 96 11 ) ) PUNCT cana-767 97 1 [ [ X cana-767 97 2 ( ( PUNCT cana-767 97 3 1βˆ’π›Ώπ‘‡ 1βˆ’π›Ώπ‘‡ NUM cana-767 97 4 2 2 NUM cana-767 97 5 ) ) PUNCT cana-767 97 6 ( ( PUNCT cana-767 97 7 𝑑1 𝑑1 NOUN cana-767 97 8 βˆ’ βˆ’ PROPN cana-767 97 9 𝑇 𝑇 PROPN cana-767 97 10 ) ) PUNCT cana-767 97 11 βˆ’ βˆ’ PROPN cana-767 97 12 ( ( PUNCT cana-767 97 13 πœ‡+𝛿 πœ‡+𝛿 NOUN cana-767 97 14 ) ) PUNCT cana-767 97 15 6 6 NUM cana-767 97 16 ( ( PUNCT cana-767 97 17 𝑇2 𝑇2 NOUN cana-767 97 18 + + CCONJ cana-767 97 19 𝑇𝑑1 𝑇𝑑1 NOUN cana-767 98 1 βˆ’ βˆ’ PROPN cana-767 98 2 2𝑑1 2𝑑1 NUM cana-767 98 3 2 2 NUM cana-767 98 4 ) ) PUNCT cana-767 98 5 ] ] PUNCT cana-767 98 6 lost lose VERB cana-767 98 7 sales sale NOUN cana-767 98 8 charge charge NOUN cana-767 98 9 = = PUNCT cana-767 99 1 𝐢𝐿 𝐢𝐿 ADP cana-767 99 2 ∫ ∫ PROPN cana-767 100 1 [ [ X cana-767 100 2 1 1 NUM cana-767 100 3 βˆ’ βˆ’ PROPN cana-767 100 4 π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘)]π‘’πœ‡π‘‘π‘‘π‘‘ π‘’βˆ’π›Ώ(π‘‡βˆ’π‘‘)]π‘’πœ‡π‘‘π‘‘π‘‘ PROPN cana-767 100 5 𝑇 𝑇 PROPN cana-767 100 6 𝑑1 𝑑1 NOUN cana-767 100 7 = = PROPN cana-767 101 1 𝐢𝐿 𝐢𝐿 ADP cana-767 101 2 𝛿 𝛿 ADJ cana-767 101 3 2 2 NUM cana-767 101 4 ( ( PUNCT cana-767 101 5 𝑇 𝑇 PROPN cana-767 101 6 βˆ’ βˆ’ PROPN cana-767 101 7 𝑑1)2 𝑑1)2 SYM cana-767 101 8 total total ADJ cana-767 101 9 cost cost NOUN cana-767 101 10 = = NOUN cana-767 101 11 ordering order VERB cana-767 101 12 charge charge NOUN cana-767 101 13 + + CCONJ cana-767 101 14 holding hold VERB cana-767 101 15 charge charge NOUN cana-767 101 16 + + CCONJ cana-767 101 17 purchase purchase NOUN cana-767 101 18 charge charge NOUN cana-767 101 19 + + CCONJ cana-767 101 20 deterioration deterioration NOUN cana-767 101 21 charge charge NOUN cana-767 101 22 + + CCONJ cana-767 101 23 shortage shortage NOUN cana-767 101 24 charge charge NOUN cana-767 101 25 + + CCONJ cana-767 101 26 lost lose VERB cana-767 101 27 sales sale NOUN cana-767 101 28 charge charge NOUN cana-767 101 29 ct ct NOUN cana-767 101 30 = = SYM cana-767 101 31 c0 c0 NOUN cana-767 101 32 + + CCONJ cana-767 101 33 πΆβ„Žπ‘‘1 πΆβ„Žπ‘‘1 NUM cana-767 101 34 2 2 NUM cana-767 101 35 24 24 NUM cana-767 102 1 [ [ PUNCT cana-767 102 2 12 12 NUM cana-767 102 3 + + CCONJ cana-767 102 4 4𝑑1(πœƒ 4𝑑1(πœƒ NUM cana-767 102 5 + + NUM cana-767 102 6 2πœ‡ 2πœ‡ NUM cana-767 102 7 ) ) PUNCT cana-767 103 1 βˆ’ βˆ’ PROPN cana-767 103 2 3πœƒπ‘‘1 3πœƒπ‘‘1 NUM cana-767 103 3 2(πœ‡ 2(πœ‡ NUM cana-767 103 4 + + CCONJ cana-767 103 5 πœƒ πœƒ NOUN cana-767 103 6 ) ) PUNCT cana-767 103 7 ] ] PUNCT cana-767 104 1 + + PUNCT cana-767 104 2 cp cp X cana-767 104 3 [ [ X cana-767 104 4 𝑑1 𝑑1 NOUN cana-767 104 5 + + CCONJ cana-767 104 6 ( ( PUNCT cana-767 104 7 πœ‡ πœ‡ X cana-767 104 8 + + X cana-767 104 9 πœƒ πœƒ NOUN cana-767 104 10 ) ) PUNCT cana-767 104 11 𝑑1 𝑑1 NOUN cana-767 104 12 2 2 NUM cana-767 104 13 2 2 NUM cana-767 104 14 βˆ’ βˆ’ NOUN cana-767 104 15 ( ( PUNCT cana-767 104 16 𝑑1 𝑑1 NOUN cana-767 104 17 βˆ’ βˆ’ PROPN cana-767 104 18 𝑇 𝑇 PROPN cana-767 104 19 ) ) PUNCT cana-767 105 1 [ [ X cana-767 105 2 1 1 NUM cana-767 105 3 + + CCONJ cana-767 105 4 ( ( PUNCT cana-767 105 5 πœ‡+𝛿 πœ‡+𝛿 NOUN cana-767 105 6 ) ) PUNCT cana-767 105 7 2 2 NUM cana-767 105 8 𝑑1 𝑑1 NOUN cana-767 105 9 + + CCONJ cana-767 105 10 ( ( PUNCT cana-767 105 11 πœ‡βˆ’π›Ώ πœ‡βˆ’π›Ώ PROPN cana-767 105 12 ) ) PUNCT cana-767 105 13 2 2 NUM cana-767 105 14 𝑇]]+ 𝑇]]+ PROPN cana-767 105 15 cd cd NOUN cana-767 105 16 [ [ PUNCT cana-767 105 17 πœƒπ‘‘1 πœƒπ‘‘1 X cana-767 105 18 2 2 NUM cana-767 105 19 2 2 NUM cana-767 105 20 ] ] PUNCT cana-767 106 1 + + ADP cana-767 106 2 𝐢𝑠(𝑑1 𝐢𝑠(𝑑1 ADJ cana-767 106 3 βˆ’ βˆ’ PROPN cana-767 106 4 𝑇 𝑇 PROPN cana-767 106 5 ) ) PUNCT cana-767 107 1 [ [ X cana-767 107 2 ( ( PUNCT cana-767 107 3 1βˆ’π›Ώπ‘‡ 1βˆ’π›Ώπ‘‡ NUM cana-767 107 4 2 2 NUM cana-767 107 5 ) ) PUNCT cana-767 107 6 ( ( PUNCT cana-767 107 7 𝑑1 𝑑1 NOUN cana-767 107 8 βˆ’ βˆ’ PROPN cana-767 107 9 𝑇 𝑇 PROPN cana-767 107 10 ) ) PUNCT cana-767 107 11 βˆ’ βˆ’ PROPN cana-767 107 12 ( ( PUNCT cana-767 107 13 πœ‡+𝛿 πœ‡+𝛿 NOUN cana-767 107 14 ) ) PUNCT cana-767 107 15 6 6 NUM cana-767 107 16 ( ( PUNCT cana-767 107 17 𝑇2 𝑇2 NOUN cana-767 107 18 + + CCONJ cana-767 107 19 𝑇𝑑1 𝑇𝑑1 NOUN cana-767 108 1 βˆ’ βˆ’ PROPN cana-767 108 2 2𝑑1 2𝑑1 NUM cana-767 108 3 2 2 NUM cana-767 108 4 ) ) PUNCT cana-767 108 5 ] ] PUNCT cana-767 109 1 + + CCONJ cana-767 109 2 𝐢𝐿 𝐢𝐿 ADP cana-767 109 3 𝛿 𝛿 ADJ cana-767 109 4 2 2 NUM cana-767 109 5 ( ( PUNCT cana-767 109 6 𝑇 𝑇 PROPN cana-767 109 7 βˆ’ βˆ’ PROPN cana-767 109 8 𝑑1)2 𝑑1)2 PUNCT cana-767 109 9 our our PRON cana-767 109 10 goal goal NOUN cana-767 109 11 is be AUX cana-767 109 12 to to PART cana-767 109 13 minimize minimize VERB cana-767 109 14 the the DET cana-767 109 15 overall overall ADJ cana-767 109 16 cost cost NOUN cana-767 109 17 . . PUNCT cana-767 110 1 the the DET cana-767 110 2 necessary necessary ADJ cana-767 110 3 condition condition NOUN cana-767 110 4 is be AUX cana-767 110 5 πœ•πΆπ‘‡ πœ•πΆπ‘‡ NOUN cana-767 110 6 πœ•π‘‘1 πœ•π‘‘1 NOUN cana-767 111 1 = = SYM cana-767 111 2 0 0 NUM cana-767 111 3 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-767 111 4 πœ•2𝐢𝑇 πœ•2𝐢𝑇 PROPN cana-767 111 5 πœ•π‘‘1 πœ•π‘‘1 NOUN cana-767 111 6 2 2 NUM cana-767 111 7 > > SYM cana-767 111 8 0 0 PUNCT cana-767 112 1 π‘“π‘œπ‘Ÿ π‘“π‘œπ‘Ÿ ADJ cana-767 112 2 π‘Žπ‘™π‘™ π‘Žπ‘™π‘™ X cana-767 112 3 𝑑1 𝑑1 PROPN cana-767 112 4 > > X cana-767 112 5 0 0 NUM cana-767 113 1 we we PRON cana-767 113 2 get get VERB cana-767 113 3 πœ•πΆπ‘‡ πœ•πΆπ‘‡ NOUN cana-767 113 4 πœ•π‘‘1 πœ•π‘‘1 NOUN cana-767 114 1 = = PUNCT cana-767 114 2 πΆβ„Ž πΆβ„Ž PROPN cana-767 115 1 [ [ X cana-767 115 2 𝑑1 𝑑1 NOUN cana-767 115 3 + + CCONJ cana-767 115 4 πœƒπ‘‘1 πœƒπ‘‘1 VERB cana-767 115 5 2 2 NUM cana-767 115 6 2 2 NUM cana-767 115 7 + + NOUN cana-767 115 8 πœ‡π‘‘1 πœ‡π‘‘1 NOUN cana-767 115 9 2 2 NUM cana-767 115 10 βˆ’ βˆ’ NOUN cana-767 115 11 πœ‡πœƒπ‘‘1 πœ‡πœƒπ‘‘1 NOUN cana-767 115 12 3 3 NUM cana-767 115 13 2 2 NUM cana-767 115 14 βˆ’ βˆ’ NOUN cana-767 115 15 πœƒ2𝑑1 πœƒ2𝑑1 PUNCT cana-767 115 16 3 3 NUM cana-767 115 17 2 2 NUM cana-767 115 18 ] ] PUNCT cana-767 115 19 + + NUM cana-767 115 20 𝐢𝑝[πœƒπ‘‘1 𝐢𝑝[πœƒπ‘‘1 NOUN cana-767 115 21 βˆ’ βˆ’ NOUN cana-767 115 22 𝛿𝑑1 𝛿𝑑1 NOUN cana-767 115 23 + + CCONJ cana-767 115 24 𝛿𝑇 𝛿𝑇 ADJ cana-767 115 25 ] ] X cana-767 115 26 + + CCONJ cana-767 115 27 πΆπ‘‘πœƒπ‘‘1 πΆπ‘‘πœƒπ‘‘1 NOUN cana-767 115 28 + + CCONJ cana-767 115 29 𝐢𝐿[βˆ’π›Ώπ‘‡ 𝐢𝐿[βˆ’π›Ώπ‘‡ NOUN cana-767 115 30 + + CCONJ cana-767 115 31 𝛿𝑑1 𝛿𝑑1 NOUN cana-767 115 32 ] ] X cana-767 115 33 + + CCONJ cana-767 116 1 𝐢𝑠 𝐢𝑠 PROPN cana-767 116 2 [ [ X cana-767 116 3 𝑑1 𝑑1 NOUN cana-767 116 4 βˆ’ βˆ’ PROPN cana-767 116 5 𝑇 𝑇 PROPN cana-767 116 6 βˆ’ βˆ’ PROPN cana-767 116 7 𝛿𝑇𝑑1 𝛿𝑇𝑑1 PROPN cana-767 116 8 + + CCONJ cana-767 116 9 𝛿𝑇2 𝛿𝑇2 PROPN cana-767 116 10 βˆ’ βˆ’ PROPN cana-767 116 11 πœ‡π‘‡ πœ‡π‘‡ PROPN cana-767 116 12 6 6 NUM cana-767 116 13 + + CCONJ cana-767 116 14 2 2 NUM cana-767 116 15 3 3 NUM cana-767 116 16 𝑑1πœ‡ 𝑑1πœ‡ NOUN cana-767 116 17 βˆ’ βˆ’ NOUN cana-767 117 1 𝛿𝑇 𝛿𝑇 ADJ cana-767 117 2 6 6 NUM cana-767 117 3 + + SYM cana-767 117 4 2 2 NUM cana-767 117 5 3 3 NUM cana-767 117 6 𝛿𝑑1 𝛿𝑑1 NOUN cana-767 117 7 ] ] X cana-767 117 8 = = SYM cana-767 117 9 0 0 NUM cana-767 117 10 and and CCONJ cana-767 117 11 πœ•2𝐢𝑇 πœ•2𝐢𝑇 ADJ cana-767 117 12 πœ•π‘‘1 πœ•π‘‘1 NOUN cana-767 117 13 2 2 NUM cana-767 117 14 = = SYM cana-767 117 15 πΆβ„Ž πΆβ„Ž PROPN cana-767 117 16 [ [ X cana-767 117 17 1 1 NUM cana-767 117 18 + + NUM cana-767 117 19 πœƒπ‘‘1 πœƒπ‘‘1 NOUN cana-767 117 20 + + CCONJ cana-767 117 21 2πœ‡π‘‘1 2πœ‡π‘‘1 NUM cana-767 117 22 βˆ’ βˆ’ NOUN cana-767 117 23 3 3 NUM cana-767 117 24 2 2 NUM cana-767 117 25 πœƒπ‘‘1 πœƒπ‘‘1 VERB cana-767 117 26 2(πœ‡ 2(πœ‡ NUM cana-767 117 27 + + CCONJ cana-767 117 28 πœƒ πœƒ X cana-767 117 29 ) ) PUNCT cana-767 117 30 ] ] PUNCT cana-767 118 1 + + CCONJ cana-767 118 2 𝐢𝑝[πœƒ 𝐢𝑝[πœƒ PROPN cana-767 118 3 βˆ’ βˆ’ PROPN cana-767 118 4 𝛿 𝛿 NOUN cana-767 118 5 ] ] X cana-767 118 6 + + CCONJ cana-767 118 7 πΆπ‘‘πœƒ πΆπ‘‘πœƒ PROPN cana-767 118 8 + + CCONJ cana-767 118 9 𝐢𝐿𝛿 𝐢𝐿𝛿 NOUN cana-767 118 10 + + NOUN cana-767 119 1 𝐢𝑠 𝐢𝑠 PROPN cana-767 119 2 [ [ X cana-767 119 3 1 1 NUM cana-767 119 4 βˆ’ βˆ’ NOUN cana-767 119 5 𝛿𝑇 𝛿𝑇 ADJ cana-767 120 1 + + NUM cana-767 120 2 2 2 NUM cana-767 120 3 3 3 NUM cana-767 120 4 ( ( PUNCT cana-767 120 5 πœ‡ πœ‡ ADP cana-767 120 6 + + X cana-767 120 7 𝛿 𝛿 ADJ cana-767 120 8 ) ) PUNCT cana-767 120 9 ] ] PUNCT cana-767 120 10 > > X cana-767 120 11 0 0 NUM cana-767 121 1 5 5 NUM cana-767 121 2 . . PUNCT cana-767 121 3 numerical numerical ADJ cana-767 121 4 illustration illustration NOUN cana-767 121 5 1 1 NUM cana-767 121 6 : : PUNCT cana-767 121 7 let let VERB cana-767 121 8 's us PRON cana-767 121 9 examine examine VERB cana-767 121 10 an an DET cana-767 121 11 inventory inventory NOUN cana-767 121 12 system system NOUN cana-767 121 13 characterized characterize VERB cana-767 121 14 by by ADP cana-767 121 15 the the DET cana-767 121 16 following follow VERB cana-767 121 17 parameter parameter NOUN cana-767 121 18 values value NOUN cana-767 121 19 , , PUNCT cana-767 121 20 expressed express VERB cana-767 121 21 in in ADP cana-767 121 22 appropriate appropriate ADJ cana-767 121 23 units unit NOUN cana-767 121 24 [ [ X cana-767 121 25 πœƒ πœƒ X cana-767 121 26 , , PUNCT cana-767 121 27 𝑇 𝑇 PROPN cana-767 121 28 , , PUNCT cana-767 121 29 πœ‡ πœ‡ ADP cana-767 121 30 , , PUNCT cana-767 121 31 𝛿 𝛿 ADJ cana-767 121 32 , , PUNCT cana-767 121 33 πΆπ‘œ πΆπ‘œ PROPN cana-767 121 34 , , PUNCT cana-767 121 35 𝐢𝑑 𝐢𝑑 PROPN cana-767 121 36 , , PUNCT cana-767 121 37 πΆβ„Ž πΆβ„Ž PROPN cana-767 121 38 , , PUNCT cana-767 121 39 𝐢𝑝 𝐢𝑝 PROPN cana-767 121 40 , , PUNCT cana-767 121 41 𝐢𝑠 𝐢𝑠 PROPN cana-767 121 42 , , PUNCT cana-767 121 43 𝐢𝐿 𝐢𝐿 PROPN cana-767 121 44 ] ] X cana-767 121 45 = = PUNCT cana-767 122 1 [ [ X cana-767 122 2 0.03,5,1.5,0.001,2,0.5,0.1,30,3,1 0.03,5,1.5,0.001,2,0.5,0.1,30,3,1 NUM cana-767 122 3 ] ] PUNCT cana-767 122 4 . . PUNCT cana-767 123 1 then then ADV cana-767 123 2 we we PRON cana-767 123 3 get get VERB cana-767 123 4 t1 t1 NOUN cana-767 123 5 = = NOUN cana-767 123 6 2.8203 2.8203 NUM cana-767 123 7 , , PUNCT cana-767 123 8 q’=23.7596 q’=23.7596 NOUN cana-767 123 9 and and CCONJ cana-767 123 10 ct=761.3449 ct=761.3449 PROPN cana-767 123 11 numerical numerical ADJ cana-767 123 12 illustration illustration NOUN cana-767 123 13 2 2 NUM cana-767 123 14 : : PUNCT cana-767 123 15 let let VERB cana-767 123 16 's us PRON cana-767 123 17 examine examine VERB cana-767 123 18 an an DET cana-767 123 19 inventory inventory NOUN cana-767 123 20 system system NOUN cana-767 123 21 characterized characterize VERB cana-767 123 22 by by ADP cana-767 123 23 the the DET cana-767 123 24 following follow VERB cana-767 123 25 parameter parameter NOUN cana-767 123 26 values value NOUN cana-767 123 27 , , PUNCT cana-767 123 28 expressed express VERB cana-767 123 29 in in ADP cana-767 123 30 appropriate appropriate ADJ cana-767 123 31 units unit NOUN cana-767 123 32 [ [ X cana-767 123 33 πœƒ πœƒ X cana-767 123 34 , , PUNCT cana-767 123 35 𝑇 𝑇 PROPN cana-767 123 36 , , PUNCT cana-767 123 37 πœ‡ πœ‡ ADP cana-767 123 38 , , PUNCT cana-767 123 39 𝛿 𝛿 ADJ cana-767 123 40 , , PUNCT cana-767 123 41 πΆπ‘œ πΆπ‘œ PROPN cana-767 123 42 , , PUNCT cana-767 123 43 𝐢𝑑 𝐢𝑑 PROPN cana-767 123 44 , , PUNCT cana-767 123 45 πΆβ„Ž πΆβ„Ž PROPN cana-767 123 46 , , PUNCT cana-767 123 47 𝐢𝑝 𝐢𝑝 PROPN cana-767 123 48 , , PUNCT cana-767 123 49 𝐢𝑠 𝐢𝑠 PROPN cana-767 123 50 , , PUNCT cana-767 123 51 𝐢𝐿 𝐢𝐿 PROPN cana-767 123 52 ] ] X cana-767 123 53 = = PUNCT cana-767 124 1 [ [ X cana-767 124 2 0.1,4,2.5,0.005,3,0.3,1,30,4,1.5 0.1,4,2.5,0.005,3,0.3,1,30,4,1.5 NUM cana-767 124 3 ] ] PUNCT cana-767 124 4 . . PUNCT cana-767 125 1 then then ADV cana-767 125 2 we we PRON cana-767 125 3 get get VERB cana-767 125 4 t1 t1 NOUN cana-767 125 5 = = SYM cana-767 125 6 1.2475 1.2475 NUM cana-767 125 7 , , PUNCT cana-767 125 8 q’=24.0589 q’=24.0589 NOUN cana-767 125 9 and and CCONJ cana-767 125 10 ct ct NOUN cana-767 125 11 = = SYM cana-767 125 12 824.1926 824.1926 NUM cana-767 125 13 communications communication NOUN cana-767 125 14 on on ADP cana-767 125 15 applied apply VERB cana-767 125 16 nonlinear nonlinear ADJ cana-767 125 17 analysis analysis NOUN cana-767 125 18 issn issn NOUN cana-767 125 19 : : PUNCT cana-767 125 20 1074 1074 NUM cana-767 125 21 - - PUNCT cana-767 125 22 133x 133x NUM cana-767 125 23 vol vol NOUN cana-767 125 24 31 31 NUM cana-767 125 25 no no NOUN cana-767 125 26 . . PUNCT cana-767 126 1 3s 3s NUM cana-767 126 2 ( ( PUNCT cana-767 126 3 2024 2024 NUM cana-767 126 4 ) ) PUNCT cana-767 126 5 309 309 NUM cana-767 126 6 https://internationalpubls.com https://internationalpubls.com X cana-767 126 7 6 6 NUM cana-767 126 8 . . PUNCT cana-767 126 9 sensitivity sensitivity NOUN cana-767 126 10 analysis analysis NOUN cana-767 126 11 table table NOUN cana-767 126 12 – – PUNCT cana-767 126 13 1 1 NUM cana-767 126 14 : : PUNCT cana-767 126 15 fluctuation fluctuation NOUN cana-767 126 16 in in ADP cana-767 126 17 deterioration deterioration NOUN cana-767 126 18 rate rate NOUN cana-767 126 19 ( ( PUNCT cana-767 126 20 πœƒ πœƒ NOUN cana-767 126 21 ) ) PUNCT cana-767 126 22 𝜽 𝜽 ADP cana-767 126 23 t1 t1 NOUN cana-767 126 24 q q NOUN cana-767 126 25 ’ ' PUNCT cana-767 126 26 ct ct PROPN cana-767 126 27 0.01 0.01 NUM cana-767 126 28 2.8447 2.8447 NUM cana-767 126 29 23.7517 23.7517 NUM cana-767 126 30 760.3105 760.3105 NUM cana-767 126 31 0.02 0.02 NUM cana-767 126 32 2.8324 2.8324 NUM cana-767 126 33 23.7557 23.7557 NUM cana-767 126 34 760.8297 760.8297 NUM cana-767 126 35 0.03 0.03 NUM cana-767 126 36 2.8203 2.8203 NUM cana-767 126 37 23.7596 23.7596 NUM cana-767 126 38 761.3449 761.3449 NUM cana-767 126 39 0.04 0.04 NUM cana-767 126 40 2.8082 2.8082 NUM cana-767 126 41 23.7634 23.7634 NUM cana-767 126 42 761.8560 761.8560 NUM cana-767 126 43 0.05 0.05 NUM cana-767 126 44 2.7962 2.7962 NUM cana-767 126 45 23.7671 23.7671 NUM cana-767 126 46 762.3629 762.3629 NUM cana-767 126 47 table-1 table-1 PRON cana-767 126 48 shows show VERB cana-767 126 49 that that SCONJ cana-767 126 50 when when SCONJ cana-767 126 51 deterioration deterioration NOUN cana-767 126 52 rate rate NOUN cana-767 126 53 πœƒ πœƒ NOUN cana-767 126 54 increases increase NOUN cana-767 126 55 , , PUNCT cana-767 126 56 automatically automatically ADV cana-767 126 57 quantity quantity NOUN cana-767 126 58 , , PUNCT cana-767 126 59 total total ADJ cana-767 126 60 cost cost NOUN cana-767 126 61 are be AUX cana-767 126 62 increases increase NOUN cana-767 126 63 and and CCONJ cana-767 126 64 the the DET cana-767 126 65 duration duration NOUN cana-767 126 66 of of ADP cana-767 126 67 time time NOUN cana-767 126 68 during during ADP cana-767 126 69 which which PRON cana-767 126 70 the the DET cana-767 126 71 inventory inventory NOUN cana-767 126 72 remains remain VERB cana-767 126 73 without without ADP cana-767 126 74 any any DET cana-767 126 75 shortage shortage NOUN cana-767 126 76 ( ( PUNCT cana-767 126 77 t1 t1 NOUN cana-767 126 78 ) ) PUNCT cana-767 126 79 is be AUX cana-767 126 80 decreases decrease NOUN cana-767 126 81 . . PUNCT cana-767 127 1 table table NOUN cana-767 127 2 – – PUNCT cana-767 127 3 2 2 NUM cana-767 127 4 : : PUNCT cana-767 127 5 fluctuation fluctuation NOUN cana-767 127 6 in in ADP cana-767 127 7 length length NOUN cana-767 127 8 of of ADP cana-767 127 9 the the DET cana-767 127 10 inventory inventory NOUN cana-767 127 11 cycle cycle NOUN cana-767 127 12 ( ( PUNCT cana-767 127 13 t t NOUN cana-767 127 14 ) ) PUNCT cana-767 127 15 t t PROPN cana-767 127 16 t1 t1 NOUN cana-767 127 17 q q NOUN cana-767 127 18 ’ ' PUNCT cana-767 127 19 ct ct PROPN cana-767 127 20 4.6 4.6 NUM cana-767 127 21 2.6076 2.6076 NUM cana-767 127 22 20.4782 20.4782 NUM cana-767 127 23 652.7475 652.7475 NUM cana-767 127 24 4.8 4.8 NUM cana-767 127 25 2.7142 2.7142 NUM cana-767 127 26 22.0889 22.0889 NUM cana-767 127 27 705.9319 705.9319 NUM cana-767 127 28 5.0 5.0 NUM cana-767 127 29 2.8203 2.8203 NUM cana-767 127 30 23.7596 23.7596 NUM cana-767 127 31 761.3449 761.3449 NUM cana-767 127 32 5.2 5.2 NUM cana-767 127 33 2.9259 2.9259 NUM cana-767 127 34 25.4903 25.4903 NUM cana-767 128 1 819.0066 819.0066 NUM cana-767 128 2 5.4 5.4 NUM cana-767 128 3 3.0310 3.0310 NUM cana-767 128 4 27.2810 27.2810 NUM cana-767 128 5 878.9372 878.9372 NUM cana-767 128 6 table-2 table-2 NUM cana-767 128 7 shows show VERB cana-767 128 8 that that SCONJ cana-767 128 9 when when SCONJ cana-767 128 10 t t PROPN cana-767 128 11 increases increase VERB cana-767 128 12 , , PUNCT cana-767 128 13 automatically automatically ADV cana-767 128 14 the the DET cana-767 128 15 duration duration NOUN cana-767 128 16 of of ADP cana-767 128 17 time time NOUN cana-767 128 18 during during ADP cana-767 128 19 which which PRON cana-767 128 20 the the DET cana-767 128 21 inventory inventory NOUN cana-767 128 22 remains remain VERB cana-767 128 23 without without ADP cana-767 128 24 any any DET cana-767 128 25 shortage shortage NOUN cana-767 128 26 ( ( PUNCT cana-767 128 27 t1 t1 NOUN cana-767 128 28 ) ) PUNCT cana-767 128 29 , , PUNCT cana-767 128 30 quantity quantity NOUN cana-767 128 31 and and CCONJ cana-767 128 32 total total ADJ cana-767 128 33 cost cost NOUN cana-767 128 34 are be AUX cana-767 128 35 increases increase NOUN cana-767 128 36 . . PUNCT cana-767 129 1 table table NOUN cana-767 129 2 – – PUNCT cana-767 129 3 3 3 NUM cana-767 129 4 : : PUNCT cana-767 129 5 fluctuation fluctuation NOUN cana-767 129 6 in in ADP cana-767 129 7 Β΅ Β΅ PROPN cana-767 129 8 Β΅ Β΅ X cana-767 129 9 t1 t1 NOUN cana-767 129 10 q q NOUN cana-767 129 11 ’ ' PUNCT cana-767 129 12 ct ct PROPN cana-767 129 13 1.3 1.3 NUM cana-767 129 14 2.9414 2.9414 NUM cana-767 129 15 21.2609 21.2609 NUM cana-767 129 16 677.6937 677.6937 NUM cana-767 129 17 1.4 1.4 NUM cana-767 129 18 2.8786 2.8786 NUM cana-767 129 19 22.5102 22.5102 NUM cana-767 129 20 719.4678 719.4678 NUM cana-767 129 21 1.5 1.5 NUM cana-767 129 22 2.8203 2.8203 NUM cana-767 129 23 23.7596 23.7596 NUM cana-767 129 24 761.3449 761.3449 NUM cana-767 129 25 1.6 1.6 NUM cana-767 129 26 2.7659 2.7659 NUM cana-767 129 27 25.0090 25.0090 NUM cana-767 129 28 803.3134 803.3134 NUM cana-767 129 29 1.7 1.7 NUM cana-767 129 30 2.7152 2.7152 NUM cana-767 129 31 26.2584 26.2584 NUM cana-767 129 32 845.3630 845.3630 NUM cana-767 129 33 table-3 table-3 NUM cana-767 129 34 shows show VERB cana-767 129 35 that that SCONJ cana-767 129 36 when when SCONJ cana-767 129 37 Β΅ Β΅ NOUN cana-767 129 38 increases increase NOUN cana-767 129 39 , , PUNCT cana-767 129 40 automatically automatically ADV cana-767 129 41 quantity quantity NOUN cana-767 129 42 , , PUNCT cana-767 129 43 total total ADJ cana-767 129 44 cost cost NOUN cana-767 129 45 are be AUX cana-767 129 46 increases increase NOUN cana-767 129 47 and and CCONJ cana-767 129 48 the the DET cana-767 129 49 duration duration NOUN cana-767 129 50 of of ADP cana-767 129 51 time time NOUN cana-767 129 52 during during ADP cana-767 129 53 which which PRON cana-767 129 54 the the DET cana-767 129 55 inventory inventory NOUN cana-767 129 56 remains remain VERB cana-767 129 57 without without ADP cana-767 129 58 any any DET cana-767 129 59 shortage shortage NOUN cana-767 129 60 ( ( PUNCT cana-767 129 61 t1 t1 NOUN cana-767 129 62 ) ) PUNCT cana-767 129 63 is be AUX cana-767 129 64 decreases decrease NOUN cana-767 129 65 . . PUNCT cana-767 130 1 7 7 X cana-767 130 2 . . X cana-767 130 3 conclusion conclusion NOUN cana-767 130 4 in in ADP cana-767 130 5 conclusion conclusion NOUN cana-767 130 6 , , PUNCT cana-767 130 7 the the DET cana-767 130 8 development development NOUN cana-767 130 9 of of ADP cana-767 130 10 an an DET cana-767 130 11 inventory inventory NOUN cana-767 130 12 optimization optimization NOUN cana-767 130 13 model model NOUN cana-767 130 14 tailored tailor VERB cana-767 130 15 specifically specifically ADV cana-767 130 16 for for ADP cana-767 130 17 perishable perishable ADJ cana-767 130 18 goods good NOUN cana-767 130 19 with with ADP cana-767 130 20 exponential exponential ADJ cana-767 130 21 demand demand NOUN cana-767 130 22 variation variation NOUN cana-767 130 23 , , PUNCT cana-767 130 24 stable stable ADJ cana-767 130 25 holding holding NOUN cana-767 130 26 charges charge NOUN cana-767 130 27 , , PUNCT cana-767 130 28 also also ADV cana-767 130 29 partial partial ADJ cana-767 130 30 backlog backlog NOUN cana-767 130 31 management management NOUN cana-767 130 32 represents represent VERB cana-767 130 33 a a DET cana-767 130 34 notable notable ADJ cana-767 130 35 advancement advancement NOUN cana-767 130 36 in in ADP cana-767 130 37 the the DET cana-767 130 38 realm realm NOUN cana-767 130 39 of of ADP cana-767 130 40 supply supply NOUN cana-767 130 41 chain chain NOUN cana-767 130 42 management management NOUN cana-767 130 43 . . PUNCT cana-767 131 1 by by ADP cana-767 131 2 addressing address VERB cana-767 131 3 the the DET cana-767 131 4 complexities complexity NOUN cana-767 131 5 inherent inherent ADJ cana-767 131 6 in in ADP cana-767 131 7 managing manage VERB cana-767 131 8 such such ADJ cana-767 131 9 inventory inventory NOUN cana-767 131 10 items item NOUN cana-767 131 11 , , PUNCT cana-767 131 12 this this DET cana-767 131 13 model model NOUN cana-767 131 14 offers offer VERB cana-767 131 15 valuable valuable ADJ cana-767 131 16 insights insight NOUN cana-767 131 17 and and CCONJ cana-767 131 18 practical practical ADJ cana-767 131 19 guidance guidance NOUN cana-767 131 20 for for ADP cana-767 131 21 businesses business NOUN cana-767 131 22 striving strive VERB cana-767 131 23 to to PART cana-767 131 24 achieve achieve VERB cana-767 131 25 efficient efficient ADJ cana-767 131 26 inventory inventory NOUN cana-767 131 27 management management NOUN cana-767 131 28 practices practice NOUN cana-767 131 29 . . PUNCT cana-767 132 1 through through ADP cana-767 132 2 numerical numerical ADJ cana-767 132 3 examples example NOUN cana-767 132 4 and and CCONJ cana-767 132 5 sensitivity sensitivity NOUN cana-767 132 6 analyses analysis NOUN cana-767 132 7 , , PUNCT cana-767 132 8 the the DET cana-767 132 9 effectiveness effectiveness NOUN cana-767 132 10 and and CCONJ cana-767 132 11 robustness robustness NOUN cana-767 132 12 of of ADP cana-767 132 13 the the DET cana-767 132 14 proposed propose VERB cana-767 132 15 model model NOUN cana-767 132 16 have have AUX cana-767 132 17 been be AUX cana-767 132 18 demonstrated demonstrate VERB cana-767 132 19 , , PUNCT cana-767 132 20 highlighting highlight VERB cana-767 132 21 its its PRON cana-767 132 22 potential potential NOUN cana-767 132 23 to to PART cana-767 132 24 enhance enhance VERB cana-767 132 25 operational operational ADJ cana-767 132 26 communications communication NOUN cana-767 132 27 on on ADP cana-767 132 28 applied apply VERB cana-767 132 29 nonlinear nonlinear ADJ cana-767 132 30 analysis analysis NOUN cana-767 132 31 issn issn NOUN cana-767 132 32 : : PUNCT cana-767 132 33 1074 1074 NUM cana-767 132 34 - - PUNCT cana-767 132 35 133x 133x NUM cana-767 132 36 vol vol NOUN cana-767 132 37 31 31 NUM cana-767 132 38 no no NOUN cana-767 132 39 . . PUNCT cana-767 133 1 3s 3s NUM cana-767 133 2 ( ( PUNCT cana-767 133 3 2024 2024 NUM cana-767 133 4 ) ) PUNCT cana-767 133 5 310 310 NUM cana-767 133 6 https://internationalpubls.com https://internationalpubls.com X cana-767 133 7 efficiency efficiency NOUN cana-767 133 8 , , PUNCT cana-767 133 9 minimize minimize VERB cana-767 133 10 costs cost NOUN cana-767 133 11 , , PUNCT cana-767 133 12 and and CCONJ cana-767 133 13 improve improve VERB cana-767 133 14 customer customer NOUN cana-767 133 15 satisfaction satisfaction NOUN cana-767 133 16 . . PUNCT cana-767 134 1 as as SCONJ cana-767 134 2 businesses business NOUN cana-767 134 3 continue continue VERB cana-767 134 4 to to PART cana-767 134 5 face face VERB cana-767 134 6 evolving evolve VERB cana-767 134 7 market market NOUN cana-767 134 8 dynamics dynamic NOUN cana-767 134 9 and and CCONJ cana-767 134 10 supply supply NOUN cana-767 134 11 chain chain NOUN cana-767 134 12 challenges challenge NOUN cana-767 134 13 , , PUNCT cana-767 134 14 the the DET cana-767 134 15 implementation implementation NOUN cana-767 134 16 of of ADP cana-767 134 17 advanced advanced ADJ cana-767 134 18 inventory inventory NOUN cana-767 134 19 optimization optimization NOUN cana-767 134 20 models model NOUN cana-767 134 21 like like ADP cana-767 134 22 the the DET cana-767 134 23 one one NOUN cana-767 134 24 presented present VERB cana-767 134 25 here here ADV cana-767 134 26 can can AUX cana-767 134 27 serve serve VERB cana-767 134 28 as as ADP cana-767 134 29 a a DET cana-767 134 30 strategic strategic ADJ cana-767 134 31 tool tool NOUN cana-767 134 32 for for ADP cana-767 134 33 driving drive VERB cana-767 134 34 sustainable sustainable ADJ cana-767 134 35 growth growth NOUN cana-767 134 36 and and CCONJ cana-767 134 37 competitive competitive ADJ cana-767 134 38 advantage advantage NOUN cana-767 134 39 . . PUNCT cana-767 135 1 future future ADJ cana-767 135 2 extensions extension NOUN cana-767 135 3 of of ADP cana-767 135 4 the the DET cana-767 135 5 inventory inventory NOUN cana-767 135 6 optimization optimization NOUN cana-767 135 7 model model NOUN cana-767 135 8 could could AUX cana-767 135 9 include include VERB cana-767 135 10 advanced advanced ADJ cana-767 135 11 demand demand NOUN cana-767 135 12 forecasting forecasting NOUN cana-767 135 13 techniques technique NOUN cana-767 135 14 , , PUNCT cana-767 135 15 integration integration NOUN cana-767 135 16 of of ADP cana-767 135 17 dynamic dynamic ADJ cana-767 135 18 pricing pricing NOUN cana-767 135 19 strategies strategy NOUN cana-767 135 20 , , PUNCT cana-767 135 21 implementation implementation NOUN cana-767 135 22 of of ADP cana-767 135 23 real real ADJ cana-767 135 24 - - PUNCT cana-767 135 25 time time NOUN cana-767 135 26 inventory inventory NOUN cana-767 135 27 tracking tracking NOUN cana-767 135 28 using use VERB cana-767 135 29 iot iot ADJ cana-767 135 30 technology technology NOUN cana-767 135 31 , , PUNCT cana-767 135 32 and and CCONJ cana-767 135 33 consideration consideration NOUN cana-767 135 34 of of ADP cana-767 135 35 sustainability sustainability NOUN cana-767 135 36 metrics metric NOUN cana-767 135 37 for for ADP cana-767 135 38 environmentally environmentally ADV cana-767 135 39 conscious conscious ADJ cana-767 135 40 inventory inventory NOUN cana-767 135 41 management management NOUN cana-767 135 42 . . PUNCT cana-767 136 1 references reference NOUN cana-767 136 2 [ [ X cana-767 136 3 1 1 NUM cana-767 136 4 ] ] PUNCT cana-767 136 5 su su PROPN cana-767 136 6 c.t c.t PROPN cana-767 136 7 . . PROPN cana-767 136 8 , , PUNCT cana-767 136 9 lin lin PROPN cana-767 136 10 c.w c.w PROPN cana-767 136 11 . . PROPN cana-767 136 12 , , PUNCT cana-767 136 13 and and CCONJ cana-767 136 14 tsai tsai PROPN cana-767 136 15 c.h c.h PROPN cana-767 136 16 . . PROPN cana-767 136 17 ( ( PUNCT cana-767 136 18 1999 1999 NUM cana-767 136 19 ): ): PUNCT cana-767 136 20 β€œ " PUNCT cana-767 136 21 a a DET cana-767 136 22 deterministic deterministic ADJ cana-767 136 23 production production NOUN cana-767 136 24 inventory inventory NOUN cana-767 136 25 model model NOUN cana-767 136 26 for for ADP cana-767 136 27 deteriorating deteriorate VERB cana-767 136 28 items item NOUN cana-767 136 29 with with ADP cana-767 136 30 an an DET cana-767 136 31 exponential exponential ADJ cana-767 136 32 declining decline VERB cana-767 136 33 demand demand NOUN cana-767 136 34 ” " PUNCT cana-767 136 35 , , PUNCT cana-767 136 36 operational operational ADJ cana-767 136 37 research research NOUN cana-767 136 38 society society NOUN cana-767 136 39 of of ADP cana-767 136 40 india india PROPN cana-767 136 41 , , PUNCT cana-767 136 42 36 36 NUM cana-767 136 43 ( ( PUNCT cana-767 136 44 2 2 NUM cana-767 136 45 ) ) PUNCT cana-767 136 46 , , PUNCT cana-767 136 47 95 95 NUM cana-767 136 48 - - SYM cana-767 136 49 106 106 NUM cana-767 136 50 . . PUNCT cana-767 137 1 [ [ X cana-767 137 2 2 2 NUM cana-767 137 3 ] ] X cana-767 137 4 n. n. PROPN cana-767 137 5 h. h. PROPN cana-767 137 6 shah shah PROPN cana-767 137 7 and and CCONJ cana-767 137 8 y. y. PROPN cana-767 137 9 k. k. PROPN cana-767 137 10 shah shah PROPN cana-767 137 11 ( ( PUNCT cana-767 137 12 2000 2000 NUM cana-767 137 13 ): ): PUNCT cana-767 137 14 β€œ " PUNCT cana-767 137 15 literature literature NOUN cana-767 137 16 survey survey NOUN cana-767 137 17 on on ADP cana-767 137 18 inventory inventory NOUN cana-767 137 19 model model NOUN cana-767 137 20 for for ADP cana-767 137 21 deteriorating deteriorate VERB cana-767 137 22 items item NOUN cana-767 137 23 ” " PUNCT cana-767 137 24 , , PUNCT cana-767 137 25 economics economic NOUN cana-767 137 26 annals annal NOUN cana-767 137 27 , , PUNCT cana-767 137 28 vol vol NOUN cana-767 137 29 . . PROPN cana-767 138 1 44 44 NUM cana-767 138 2 , , PUNCT cana-767 138 3 pp pp ADJ cana-767 138 4 . . PUNCT cana-767 139 1 221 221 NUM cana-767 139 2 - - SYM cana-767 139 3 237 237 NUM cana-767 139 4 . . PUNCT cana-767 140 1 [ [ X cana-767 140 2 3 3 X cana-767 140 3 ] ] PUNCT cana-767 140 4 s. s. PROPN cana-767 140 5 k. k. PROPN cana-767 140 6 goyal goyal PROPN cana-767 140 7 and and CCONJ cana-767 140 8 b. b. PROPN cana-767 140 9 c. c. PROPN cana-767 140 10 giri giri PROPN cana-767 140 11 ( ( PUNCT cana-767 140 12 2001 2001 NUM cana-767 140 13 ): ): PUNCT cana-767 140 14 β€œ " PUNCT cana-767 140 15 recent recent ADJ cana-767 140 16 trends trend NOUN cana-767 140 17 in in ADP cana-767 140 18 modelling modelling NOUN cana-767 140 19 of of ADP cana-767 140 20 deteriorating deteriorate VERB cana-767 140 21 inventory inventory NOUN cana-767 140 22 ” " PUNCT cana-767 140 23 , , PUNCT cana-767 140 24 european european PROPN cana-767 140 25 journal journal PROPN cana-767 140 26 of of ADP cana-767 140 27 operational operational ADJ cana-767 140 28 research research NOUN cana-767 140 29 , , PUNCT cana-767 140 30 vol vol NOUN cana-767 140 31 . . PROPN cana-767 140 32 134 134 NUM cana-767 140 33 , , PUNCT cana-767 140 34 no.1 no.1 NUM cana-767 140 35 , , PUNCT cana-767 140 36 pp pp ADJ cana-767 140 37 . . PUNCT cana-767 141 1 1 1 NUM cana-767 141 2 - - SYM cana-767 141 3 16 16 NUM cana-767 141 4 . . PUNCT cana-767 142 1 [ [ X cana-767 142 2 4 4 X cana-767 142 3 ] ] PUNCT cana-767 142 4 p. p. NOUN cana-767 142 5 l. l. PROPN cana-767 142 6 abad abad PROPN cana-767 142 7 ( ( PUNCT cana-767 142 8 2001 2001 NUM cana-767 142 9 ): ): PUNCT cana-767 142 10 β€œ " PUNCT cana-767 142 11 optimal optimal ADJ cana-767 142 12 price price NOUN cana-767 142 13 and and CCONJ cana-767 142 14 order order NOUN cana-767 142 15 - - PUNCT cana-767 142 16 size size NOUN cana-767 142 17 for for ADP cana-767 142 18 a a DET cana-767 142 19 reseller reseller NOUN cana-767 142 20 under under ADP cana-767 142 21 partial partial ADJ cana-767 142 22 are be AUX cana-767 142 23 backlogging backlogge VERB cana-767 142 24 ” " PUNCT cana-767 142 25 , , PUNCT cana-767 142 26 computers computer NOUN cana-767 142 27 and and CCONJ cana-767 142 28 operations operation NOUN cana-767 142 29 research research NOUN cana-767 142 30 , , PUNCT cana-767 142 31 vol vol NOUN cana-767 142 32 . . PROPN cana-767 142 33 28 28 NUM cana-767 142 34 , , PUNCT cana-767 142 35 no no INTJ cana-767 142 36 . . NOUN cana-767 142 37 1 1 NUM cana-767 142 38 , , PUNCT cana-767 142 39 pp pp ADJ cana-767 142 40 . . PUNCT cana-767 143 1 53 53 NUM cana-767 143 2 - - SYM cana-767 143 3 65 65 NUM cana-767 143 4 . . PUNCT cana-767 144 1 [ [ X cana-767 144 2 5 5 X cana-767 144 3 ] ] PUNCT cana-767 144 4 w. w. PROPN cana-767 144 5 ouyang ouyang PROPN cana-767 144 6 and and CCONJ cana-767 144 7 x. x. PROPN cana-767 144 8 cheng cheng PROPN cana-767 144 9 ( ( PUNCT cana-767 144 10 2005 2005 NUM cana-767 144 11 ): ): PUNCT cana-767 144 12 β€œ " PUNCT cana-767 144 13 an an DET cana-767 144 14 inventory inventory NOUN cana-767 144 15 model model NOUN cana-767 144 16 for for ADP cana-767 144 17 deteriorating deteriorate VERB cana-767 144 18 items item NOUN cana-767 144 19 with with ADP cana-767 144 20 exponential exponential ADJ cana-767 144 21 declining decline VERB cana-767 144 22 demand demand NOUN cana-767 144 23 and and CCONJ cana-767 144 24 partial partial ADJ cana-767 144 25 backlogging backlogging NOUN cana-767 144 26 ” " PUNCT cana-767 144 27 , , PUNCT cana-767 144 28 yugoslav yugoslav ADJ cana-767 144 29 journal journal PROPN cana-767 144 30 of of ADP cana-767 144 31 operation operation NOUN cana-767 144 32 research research NOUN cana-767 144 33 , , PUNCT cana-767 144 34 vol vol NOUN cana-767 144 35 . . PROPN cana-767 144 36 15 15 NUM cana-767 144 37 , , PUNCT cana-767 144 38 no no INTJ cana-767 144 39 . . NOUN cana-767 144 40 2 2 NUM cana-767 144 41 , , PUNCT cana-767 144 42 pp pp ADJ cana-767 144 43 . . PUNCT cana-767 145 1 277 277 NUM cana-767 145 2 - - SYM cana-767 145 3 288 288 NUM cana-767 145 4 . . PUNCT cana-767 146 1 [ [ X cana-767 146 2 6 6 NUM cana-767 146 3 ] ] PUNCT cana-767 146 4 c. c. PROPN cana-767 146 5 k. k. PROPN cana-767 146 6 tripathy tripathy PROPN cana-767 146 7 and and CCONJ cana-767 146 8 u. u. PROPN cana-767 146 9 mishra mishra PROPN cana-767 146 10 ( ( PUNCT cana-767 146 11 2010 2010 NUM cana-767 146 12 ): ): PUNCT cana-767 146 13 β€œ " PUNCT cana-767 146 14 ordering order VERB cana-767 146 15 policy policy NOUN cana-767 146 16 for for ADP cana-767 146 17 weibull weibull NOUN cana-767 146 18 deteriorating deteriorate VERB cana-767 146 19 items item NOUN cana-767 146 20 for for ADP cana-767 146 21 quadratic quadratic ADJ cana-767 146 22 demand demand NOUN cana-767 146 23 with with ADP cana-767 146 24 permissible permissible ADJ cana-767 146 25 delay delay NOUN cana-767 146 26 in in ADP cana-767 146 27 payments payment NOUN cana-767 146 28 ” " PUNCT cana-767 146 29 , , PUNCT cana-767 146 30 applied apply VERB cana-767 146 31 mathematical mathematical ADJ cana-767 146 32 science science NOUN cana-767 146 33 , , PUNCT cana-767 146 34 vo vo NOUN cana-767 146 35 . . PROPN cana-767 146 36 4 4 NUM cana-767 146 37 , , PUNCT cana-767 146 38 no no INTJ cana-767 146 39 . . NOUN cana-767 146 40 44 44 NUM cana-767 146 41 , , PUNCT cana-767 146 42 pp pp ADJ cana-767 146 43 . . PUNCT cana-767 147 1 2181 2181 NUM cana-767 147 2 - - SYM cana-767 147 3 2191 2191 NUM cana-767 147 4 . . PUNCT cana-767 148 1 [ [ X cana-767 148 2 7 7 X cana-767 148 3 ] ] X cana-767 148 4 r. r. PROPN cana-767 148 5 li li PROPN cana-767 148 6 , , PUNCT cana-767 148 7 h. h. PROPN cana-767 148 8 lan lan PROPN cana-767 148 9 and and CCONJ cana-767 148 10 j. j. PROPN cana-767 148 11 r. r. PROPN cana-767 148 12 mawhinney mawhinney PROPN cana-767 148 13 ( ( PUNCT cana-767 148 14 2010 2010 NUM cana-767 148 15 ): ): PUNCT cana-767 148 16 β€œ " PUNCT cana-767 148 17 a a DET cana-767 148 18 review review NOUN cana-767 148 19 on on ADP cana-767 148 20 deteriorating deteriorate VERB cana-767 148 21 inventory inventory NOUN cana-767 148 22 study study NOUN cana-767 148 23 ” " PUNCT cana-767 148 24 , , PUNCT cana-767 148 25 journal journal NOUN cana-767 148 26 of of ADP cana-767 148 27 service service NOUN cana-767 148 28 science science NOUN cana-767 148 29 and and CCONJ cana-767 148 30 management management NOUN cana-767 148 31 , , PUNCT cana-767 148 32 vol vol NOUN cana-767 148 33 . . PROPN cana-767 149 1 3 3 NUM cana-767 149 2 , , PUNCT cana-767 149 3 no no INTJ cana-767 149 4 . . NOUN cana-767 149 5 1 1 NUM cana-767 149 6 , , PUNCT cana-767 149 7 pp.117 pp.117 PROPN cana-767 149 8 - - PUNCT cana-767 149 9 129 129 NUM cana-767 149 10 . . PUNCT cana-767 150 1 [ [ X cana-767 150 2 8 8 NUM cana-767 150 3 ] ] X cana-767 150 4 n. n. PROPN cana-767 150 5 h. h. PROPN cana-767 150 6 shah shah PROPN cana-767 150 7 and and CCONJ cana-767 150 8 n. n. PROPN cana-767 150 9 raykundaliya raykundaliya PROPN cana-767 150 10 ( ( PUNCT cana-767 150 11 2010 2010 NUM cana-767 150 12 ): ): PUNCT cana-767 150 13 β€œ " PUNCT cana-767 150 14 retailer retailer NOUN cana-767 150 15 ’s ’s PART cana-767 150 16 pricing pricing NOUN cana-767 150 17 and and CCONJ cana-767 150 18 ordering order VERB cana-767 150 19 strategy strategy NOUN cana-767 150 20 for for ADP cana-767 150 21 weibull weibull NOUN cana-767 150 22 distribution distribution NOUN cana-767 150 23 deterioration deterioration NOUN cana-767 150 24 under under ADP cana-767 150 25 trade trade NOUN cana-767 150 26 credit credit NOUN cana-767 150 27 in in ADP cana-767 150 28 declining decline VERB cana-767 150 29 market market NOUN cana-767 150 30 ” " PUNCT cana-767 150 31 , , PUNCT cana-767 150 32 applied apply VERB cana-767 150 33 mathematical mathematical ADJ cana-767 150 34 sciences science NOUN cana-767 150 35 , , PUNCT cana-767 150 36 vol vol NOUN cana-767 150 37 . . PROPN cana-767 151 1 4 4 NUM cana-767 151 2 , , PUNCT cana-767 151 3 no no INTJ cana-767 151 4 . . NOUN cana-767 151 5 21 21 NUM cana-767 151 6 , , PUNCT cana-767 151 7 pp pp ADJ cana-767 151 8 . . PUNCT cana-767 152 1 10111020 10111020 NUM cana-767 152 2 . . PUNCT cana-767 153 1 [ [ X cana-767 153 2 9 9 NUM cana-767 153 3 ] ] PUNCT cana-767 153 4 t. t. PROPN cana-767 153 5 singh singh PROPN cana-767 153 6 and and CCONJ cana-767 153 7 h. h. PROPN cana-767 153 8 pattnayak pattnayak PROPN cana-767 153 9 ( ( PUNCT cana-767 153 10 2012 2012 NUM cana-767 153 11 ): ): PUNCT cana-767 153 12 β€œ " PUNCT cana-767 153 13 an an DET cana-767 153 14 eoq eoq NOUN cana-767 153 15 model model NOUN cana-767 153 16 for for ADP cana-767 153 17 a a DET cana-767 153 18 deteriorating deteriorate VERB cana-767 153 19 item item NOUN cana-767 153 20 with with ADP cana-767 153 21 time time NOUN cana-767 153 22 dependent dependent ADJ cana-767 153 23 exponentially exponentially ADV cana-767 153 24 declining decline VERB cana-767 153 25 demand demand NOUN cana-767 153 26 under under ADP cana-767 153 27 permissible permissible ADJ cana-767 153 28 delay delay NOUN cana-767 153 29 in in ADP cana-767 153 30 payment payment NOUN cana-767 153 31 ” " PUNCT cana-767 153 32 , , PUNCT cana-767 153 33 iosr iosr ADJ cana-767 153 34 journal journal NOUN cana-767 153 35 of of ADP cana-767 153 36 mathematics mathematic NOUN cana-767 153 37 , , PUNCT cana-767 153 38 vol vol NOUN cana-767 153 39 . . PROPN cana-767 154 1 2 2 NUM cana-767 154 2 . . X cana-767 154 3 no no INTJ cana-767 154 4 . . NOUN cana-767 154 5 2 2 NUM cana-767 154 6 , , PUNCT cana-767 154 7 pp pp ADJ cana-767 154 8 . . PUNCT cana-767 155 1 30 30 NUM cana-767 155 2 - - SYM cana-767 155 3 37 37 NUM cana-767 155 4 . . PUNCT cana-767 156 1 [ [ X cana-767 156 2 10 10 NUM cana-767 156 3 ] ] X cana-767 156 4 v. v. PROPN cana-767 156 5 k. k. PROPN cana-767 156 6 mishra mishra PROPN cana-767 156 7 , , PUNCT cana-767 156 8 l. l. PROPN cana-767 156 9 s. s. PROPN cana-767 156 10 singh singh PROPN cana-767 156 11 and and CCONJ cana-767 156 12 r. r. PROPN cana-767 156 13 kumar kumar PROPN cana-767 156 14 ( ( PUNCT cana-767 156 15 2013 2013 NUM cana-767 156 16 ): ): PUNCT cana-767 156 17 β€œ " PUNCT cana-767 156 18 an an DET cana-767 156 19 inventory inventory NOUN cana-767 156 20 model model NOUN cana-767 156 21 for for ADP cana-767 156 22 deteriorating deteriorate VERB cana-767 156 23 items item NOUN cana-767 156 24 with with ADP cana-767 156 25 timedependent timedependent NOUN cana-767 156 26 demand demand NOUN cana-767 156 27 and and CCONJ cana-767 156 28 time time NOUN cana-767 156 29 - - PUNCT cana-767 156 30 varying vary VERB cana-767 156 31 holding hold VERB cana-767 156 32 cost cost NOUN cana-767 156 33 under under ADP cana-767 156 34 partial partial ADJ cana-767 156 35 backlogging backlogging NOUN cana-767 156 36 ” " PUNCT cana-767 156 37 , , PUNCT cana-767 156 38 journal journal NOUN cana-767 156 39 of of ADP cana-767 156 40 industrial industrial ADJ cana-767 156 41 engineering engineering PROPN cana-767 156 42 international international ADJ cana-767 156 43 , , PUNCT cana-767 156 44 vol vol NOUN cana-767 156 45 . . NOUN cana-767 156 46 9 9 NUM cana-767 156 47 , , PUNCT cana-767 156 48 no no INTJ cana-767 156 49 . . NOUN cana-767 156 50 4 4 NUM cana-767 156 51 , , PUNCT cana-767 156 52 pp pp ADJ cana-767 156 53 . . PUNCT cana-767 157 1 1 1 NUM cana-767 157 2 - - SYM cana-767 157 3 5 5 NUM cana-767 157 4 . . PUNCT cana-767 158 1 [ [ X cana-767 158 2 11 11 NUM cana-767 158 3 ] ] PUNCT cana-767 158 4 t. t. PROPN cana-767 158 5 singh singh PROPN cana-767 158 6 and and CCONJ cana-767 158 7 h. h. PROPN cana-767 158 8 pattnayak pattnayak PROPN cana-767 158 9 ( ( PUNCT cana-767 158 10 2013 2013 NUM cana-767 158 11 ): ): PUNCT cana-767 158 12 β€œ " PUNCT cana-767 158 13 an an DET cana-767 158 14 eoq eoq NOUN cana-767 158 15 model model NOUN cana-767 158 16 for for ADP cana-767 158 17 deteriorating deteriorate VERB cana-767 158 18 items item NOUN cana-767 158 19 with with ADP cana-767 158 20 linear linear ADJ cana-767 158 21 demand demand NOUN cana-767 158 22 , , PUNCT cana-767 158 23 variable variable ADJ cana-767 158 24 deterioration deterioration NOUN cana-767 158 25 and and CCONJ cana-767 158 26 partial partial ADJ cana-767 158 27 backlogging backlogging NOUN cana-767 158 28 ” " PUNCT cana-767 158 29 , , PUNCT cana-767 158 30 journal journal NOUN cana-767 158 31 of of ADP cana-767 158 32 service service NOUN cana-767 158 33 science science NOUN cana-767 158 34 and and CCONJ cana-767 158 35 management management NOUN cana-767 158 36 , , PUNCT cana-767 158 37 vol vol NOUN cana-767 158 38 . . PROPN cana-767 158 39 6 6 NUM cana-767 158 40 , , PUNCT cana-767 158 41 no no INTJ cana-767 158 42 . . NOUN cana-767 158 43 2 2 NUM cana-767 158 44 , , PUNCT cana-767 158 45 pp pp ADJ cana-767 158 46 . . PUNCT cana-767 159 1 186 186 NUM cana-767 159 2 - - SYM cana-767 159 3 190 190 NUM cana-767 159 4 . . PUNCT cana-767 160 1 [ [ X cana-767 160 2 12 12 NUM cana-767 160 3 ] ] PUNCT cana-767 160 4 t. t. PROPN cana-767 160 5 singh singh PROPN cana-767 160 6 and and CCONJ cana-767 160 7 h. h. PROPN cana-767 160 8 pattnayak pattnayak PROPN cana-767 160 9 ( ( PUNCT cana-767 160 10 2013 2013 NUM cana-767 160 11 ): ): PUNCT cana-767 160 12 β€œ " PUNCT cana-767 160 13 an an DET cana-767 160 14 eoq eoq NOUN cana-767 160 15 model model NOUN cana-767 160 16 for for ADP cana-767 160 17 a a DET cana-767 160 18 deteriorating deteriorate VERB cana-767 160 19 item item NOUN cana-767 160 20 with with ADP cana-767 160 21 time time NOUN cana-767 160 22 dependent dependent ADJ cana-767 160 23 quadratic quadratic ADJ cana-767 160 24 demand demand NOUN cana-767 160 25 and and CCONJ cana-767 160 26 variable variable ADJ cana-767 160 27 deterioration deterioration NOUN cana-767 160 28 under under ADP cana-767 160 29 permissible permissible ADJ cana-767 160 30 delay delay NOUN cana-767 160 31 in in ADP cana-767 160 32 payment payment NOUN cana-767 160 33 ” " PUNCT cana-767 160 34 , , PUNCT cana-767 160 35 applied apply VERB cana-767 160 36 mathematical mathematical ADJ cana-767 160 37 sciences science NOUN cana-767 160 38 , , PUNCT cana-767 160 39 vol vol NOUN cana-767 160 40 . . PROPN cana-767 161 1 7 7 NUM cana-767 161 2 , , PUNCT cana-767 161 3 no no INTJ cana-767 161 4 . . NOUN cana-767 161 5 59 59 NUM cana-767 161 6 , , PUNCT cana-767 161 7 pp pp ADJ cana-767 161 8 . . PUNCT cana-767 162 1 2939 2939 NUM cana-767 162 2 - - SYM cana-767 162 3 2951 2951 NUM cana-767 162 4 . . PUNCT cana-767 163 1 [ [ X cana-767 163 2 13 13 NUM cana-767 163 3 ] ] PUNCT cana-767 163 4 r. r. PROPN cana-767 163 5 amutha amutha PROPN cana-767 163 6 and and CCONJ cana-767 163 7 e. e. PROPN cana-767 163 8 chandrasekaran chandrasekaran PROPN cana-767 163 9 ( ( PUNCT cana-767 163 10 2013 2013 NUM cana-767 163 11 ): ): PUNCT cana-767 163 12 β€œ " PUNCT cana-767 163 13 an an DET cana-767 163 14 eoq eoq NOUN cana-767 163 15 model model NOUN cana-767 163 16 for for ADP cana-767 163 17 deteriorating deteriorate VERB cana-767 163 18 items item NOUN cana-767 163 19 with with ADP cana-767 163 20 quadratic quadratic ADJ cana-767 163 21 demand demand NOUN cana-767 163 22 and and CCONJ cana-767 163 23 time time NOUN cana-767 163 24 dependent dependent ADJ cana-767 163 25 holding hold VERB cana-767 163 26 cost cost NOUN cana-767 163 27 ” " PUNCT cana-767 163 28 , , PUNCT cana-767 163 29 international international ADJ cana-767 163 30 journal journal NOUN cana-767 163 31 of of ADP cana-767 163 32 emerging emerge VERB cana-767 163 33 science science NOUN cana-767 163 34 and and CCONJ cana-767 163 35 engineering engineering NOUN cana-767 163 36 , , PUNCT cana-767 163 37 vol vol NOUN cana-767 163 38 . . PROPN cana-767 163 39 1 1 NUM cana-767 163 40 , , PUNCT cana-767 163 41 no no INTJ cana-767 163 42 . . NOUN cana-767 163 43 5 5 NUM cana-767 163 44 , , PUNCT cana-767 163 45 pp pp ADJ cana-767 163 46 . . PUNCT cana-767 164 1 56 56 NUM cana-767 164 2 . . PUNCT cana-767 165 1 [ [ X cana-767 165 2 14 14 NUM cana-767 165 3 ] ] X cana-767 165 4 b.p b.p PROPN cana-767 165 5 . . PROPN cana-767 165 6 dash dash NOUN cana-767 165 7 , , PUNCT cana-767 165 8 t. t. PROPN cana-767 165 9 singh singh PROPN cana-767 165 10 and and CCONJ cana-767 165 11 h. h. PROPN cana-767 165 12 pattnayak pattnayak PROPN cana-767 165 13 ( ( PUNCT cana-767 165 14 2014 2014 NUM cana-767 165 15 ): ): PUNCT cana-767 165 16 " " PUNCT cana-767 165 17 an an DET cana-767 165 18 inventory inventory NOUN cana-767 165 19 model model NOUN cana-767 165 20 for for ADP cana-767 165 21 deteriorating deteriorate VERB cana-767 165 22 items item NOUN cana-767 165 23 with with ADP cana-767 165 24 exponential exponential ADJ cana-767 165 25 declining decline VERB cana-767 165 26 demand demand NOUN cana-767 165 27 and and CCONJ cana-767 165 28 time time NOUN cana-767 165 29 - - PUNCT cana-767 165 30 varying vary VERB cana-767 165 31 holding hold VERB cana-767 165 32 cost cost NOUN cana-767 165 33 " " PUNCT cana-767 165 34 , , PUNCT cana-767 165 35 american american ADJ cana-767 165 36 journal journal PROPN cana-767 165 37 of of ADP cana-767 165 38 operations operation NOUN cana-767 165 39 research research NOUN cana-767 165 40 , , PUNCT cana-767 165 41 vol.4 vol.4 PROPN cana-767 165 42 , , PUNCT cana-767 165 43 no no INTJ cana-767 165 44 . . NOUN cana-767 165 45 1 1 NUM cana-767 165 46 , , PUNCT cana-767 165 47 pp pp ADJ cana-767 165 48 . . PUNCT cana-767 166 1 1 1 NUM cana-767 166 2 - - SYM cana-767 166 3 7 7 NUM cana-767 166 4 . . PUNCT cana-767 167 1 [ [ X cana-767 167 2 15 15 NUM cana-767 167 3 ] ] X cana-767 167 4 dutta dutta PROPN cana-767 167 5 d. d. PROPN cana-767 167 6 and and CCONJ cana-767 167 7 kumar kumar PROPN cana-767 167 8 p. p. PROPN cana-767 167 9 ( ( PUNCT cana-767 167 10 2015 2015 NUM cana-767 167 11 ) ) PUNCT cana-767 167 12 β€œ " PUNCT cana-767 167 13 a a DET cana-767 167 14 partial partial ADJ cana-767 167 15 backlogging backlogge VERB cana-767 167 16 inventory inventory NOUN cana-767 167 17 model model NOUN cana-767 167 18 for for ADP cana-767 167 19 deteriorating deteriorate VERB cana-767 167 20 items item NOUN cana-767 167 21 with with ADP cana-767 167 22 time time NOUN cana-767 167 23 - - PUNCT cana-767 167 24 varying vary VERB cana-767 167 25 demand demand NOUN cana-767 167 26 and and CCONJ cana-767 167 27 holding hold VERB cana-767 167 28 cost cost NOUN cana-767 167 29 ” " PUNCT cana-767 167 30 , , PUNCT cana-767 167 31 int int NOUN cana-767 167 32 . . PUNCT cana-767 168 1 j. j. PROPN cana-767 168 2 mathematics mathematics PROPN cana-767 168 3 in in ADP cana-767 168 4 operational operational ADJ cana-767 168 5 research research NOUN cana-767 168 6 , , PUNCT cana-767 168 7 vol vol NOUN cana-767 168 8 . . PROPN cana-767 168 9 7 7 NUM cana-767 168 10 , , PUNCT cana-767 168 11 no no INTJ cana-767 168 12 . . NOUN cana-767 168 13 3 3 NUM cana-767 168 14 , , PUNCT cana-767 168 15 pp.281–296 pp.281–296 NOUN cana-767 168 16 . . PUNCT cana-767 169 1 [ [ X cana-767 169 2 16 16 NUM cana-767 169 3 ] ] X cana-767 169 4 uthayakumar uthayakumar PROPN cana-767 169 5 r. r. PROPN cana-767 169 6 , , PUNCT cana-767 169 7 karuppasamy karuppasamy VERB cana-767 169 8 s.k s.k PROPN cana-767 169 9 . . PUNCT cana-767 170 1 ( ( PUNCT cana-767 170 2 2017 2017 NUM cana-767 170 3 ): ): PUNCT cana-767 170 4 β€œ " PUNCT cana-767 170 5 an an DET cana-767 170 6 inventory inventory NOUN cana-767 170 7 model model NOUN cana-767 170 8 for for ADP cana-767 170 9 variable variable ADJ cana-767 170 10 deteriorating deteriorate VERB cana-767 170 11 pharmaceutical pharmaceutical ADJ cana-767 170 12 items item NOUN cana-767 170 13 with with ADP cana-767 170 14 time time NOUN cana-767 170 15 dependent dependent ADJ cana-767 170 16 demand demand NOUN cana-767 170 17 and and CCONJ cana-767 170 18 time time NOUN cana-767 170 19 dependent dependent ADJ cana-767 170 20 holding holding NOUN cana-767 170 21 cost cost NOUN cana-767 170 22 under under ADP cana-767 170 23 trade trade NOUN cana-767 170 24 credit credit NOUN cana-767 170 25 in in ADP cana-767 170 26 healthcare healthcare PROPN cana-767 170 27 industries industry NOUN cana-767 170 28 ” " PUNCT cana-767 170 29 , , PUNCT cana-767 171 1 commun commun PROPN cana-767 171 2 . . PUNCT cana-767 171 3 appl appl PROPN cana-767 171 4 . . PUNCT cana-767 172 1 anal anal PROPN cana-767 172 2 . . PUNCT cana-767 173 1 210(4 210(4 NUM cana-767 173 2 ) ) PUNCT cana-767 173 3 , , PUNCT cana-767 173 4 533–549 533–549 NUM cana-767 173 5 . . PUNCT cana-767 174 1 communications communication NOUN cana-767 174 2 on on ADP cana-767 174 3 applied apply VERB cana-767 174 4 nonlinear nonlinear ADJ cana-767 174 5 analysis analysis NOUN cana-767 174 6 issn issn NOUN cana-767 174 7 : : PUNCT cana-767 174 8 1074 1074 NUM cana-767 174 9 - - PUNCT cana-767 174 10 133x 133x NUM cana-767 174 11 vol vol NOUN cana-767 174 12 31 31 NUM cana-767 174 13 no no NOUN cana-767 174 14 . . PUNCT cana-767 175 1 3s 3s NUM cana-767 175 2 ( ( PUNCT cana-767 175 3 2024 2024 NUM cana-767 175 4 ) ) PUNCT cana-767 175 5 311 311 NUM cana-767 175 6 https://internationalpubls.com https://internationalpubls.com X cana-767 176 1 [ [ X cana-767 176 2 17 17 NUM cana-767 176 3 ] ] X cana-767 176 4 sekar sekar PROPN cana-767 176 5 t. t. PROPN cana-767 176 6 , , PUNCT cana-767 176 7 uthayakumar uthayakumar PROPN cana-767 176 8 r. r. PROPN cana-767 176 9 ( ( PUNCT cana-767 176 10 2018 2018 NUM cana-767 176 11 ): ): PUNCT cana-767 176 12 β€œ " PUNCT cana-767 176 13 a a DET cana-767 176 14 manufacturing manufacture VERB cana-767 176 15 inventory inventory NOUN cana-767 176 16 model model NOUN cana-767 176 17 for for ADP cana-767 176 18 exponentially exponentially ADV cana-767 176 19 increasing increase VERB cana-767 176 20 demand demand NOUN cana-767 176 21 with with ADP cana-767 176 22 preservation preservation NOUN cana-767 176 23 technology technology NOUN cana-767 176 24 and and CCONJ cana-767 176 25 shortage shortage NOUN cana-767 176 26 ” " PUNCT cana-767 176 27 , , PUNCT cana-767 176 28 int int NOUN cana-767 176 29 . . PUNCT cana-767 177 1 j. j. PROPN cana-767 177 2 oper oper PROPN cana-767 177 3 . . PUNCT cana-767 178 1 res res PROPN cana-767 178 2 . . PUNCT cana-767 179 1 15(2 15(2 NUM cana-767 179 2 ) ) PUNCT cana-767 179 3 , , PUNCT cana-767 179 4 61–70 61–70 NOUN cana-767 179 5 . . PUNCT cana-767 180 1 [ [ X cana-767 180 2 18 18 NUM cana-767 180 3 ] ] X cana-767 180 4 babangida babangida PROPN cana-767 180 5 b. b. PROPN cana-767 180 6 , , PUNCT cana-767 180 7 baraya baraya PROPN cana-767 181 1 y.m y.m PROPN cana-767 181 2 . . PROPN cana-767 181 3 ( ( PUNCT cana-767 181 4 2020 2020 NUM cana-767 181 5 ): ): PUNCT cana-767 181 6 β€œ " PUNCT cana-767 181 7 an an DET cana-767 181 8 inventory inventory NOUN cana-767 181 9 model model NOUN cana-767 181 10 for for ADP cana-767 181 11 non non ADJ cana-767 181 12 - - ADJ cana-767 181 13 instantaneous instantaneous ADJ cana-767 181 14 deteriorating deteriorate VERB cana-767 181 15 items item NOUN cana-767 181 16 with with ADP cana-767 181 17 time time NOUN cana-767 181 18 dependent dependent ADJ cana-767 181 19 quadratic quadratic ADJ cana-767 181 20 demand demand NOUN cana-767 181 21 , , PUNCT cana-767 181 22 two two NUM cana-767 181 23 storage storage NOUN cana-767 181 24 facilities facility NOUN cana-767 181 25 and and CCONJ cana-767 181 26 shortages shortage NOUN cana-767 181 27 under under ADP cana-767 181 28 trade trade NOUN cana-767 181 29 credit credit NOUN cana-767 181 30 policy policy NOUN cana-767 181 31 ” " PUNCT cana-767 181 32 , , PUNCT cana-767 181 33 int int NOUN cana-767 181 34 . . PUNCT cana-767 182 1 j. j. PROPN cana-767 182 2 model model PROPN cana-767 182 3 . . PUNCT cana-767 183 1 oper oper PROPN cana-767 183 2 . . PROPN cana-767 183 3 manag manag PROPN cana-767 183 4 . . PUNCT cana-767 184 1 8(1 8(1 NOUN cana-767 184 2 ) ) PUNCT cana-767 184 3 , , PUNCT cana-767 184 4 1–44 1–44 PROPN cana-767 184 5 . . PUNCT