This paper proposes single-supplier single-retailer production and inventory models for maximizing the supplier and retailer’s profits in non-cooperative and cooperative environments. The effect of defective items and inspection errors are considered in the proposed models. In addition, we consider that the supplier offers the retailer a quantity threshold to absorb transportation costs for promoting the economies of scale of transport. Mathematical analyses are conducted, and optimal equilibrium production and replenishment strategies for the supplier and retailer are derived under non-cooperative and cooperative situations. Subsequently, we establish two algorithms to explain the optimal equilibrium solutions for these cases. Finally, several numerical examples and a sensitivity analysis with respect to major parameters are presented to demonstrate the theoretical results, compare the distinct solutions, and derive managerial insights.
Mots clés : Inventory, Defective items, Inspection errors, Non-cooperative, Cooperative
@article{RO_2018__52_2_453_0, author = {Yang, Chih-Te and Ho, Chia-Huei and Lee, Hsiu-Mei and Ouyang, Liang-Yuh}, title = {Supplier-retailer production and inventory models with defective items and inspection errors in non-cooperative and cooperative environments}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {453--471}, publisher = {EDP-Sciences}, volume = {52}, number = {2}, year = {2018}, doi = {10.1051/ro/2017020}, mrnumber = {3880538}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2017020/} }
TY - JOUR AU - Yang, Chih-Te AU - Ho, Chia-Huei AU - Lee, Hsiu-Mei AU - Ouyang, Liang-Yuh TI - Supplier-retailer production and inventory models with defective items and inspection errors in non-cooperative and cooperative environments JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 453 EP - 471 VL - 52 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017020/ DO - 10.1051/ro/2017020 LA - en ID - RO_2018__52_2_453_0 ER -
%0 Journal Article %A Yang, Chih-Te %A Ho, Chia-Huei %A Lee, Hsiu-Mei %A Ouyang, Liang-Yuh %T Supplier-retailer production and inventory models with defective items and inspection errors in non-cooperative and cooperative environments %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 453-471 %V 52 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017020/ %R 10.1051/ro/2017020 %G en %F RO_2018__52_2_453_0
Yang, Chih-Te; Ho, Chia-Huei; Lee, Hsiu-Mei; Ouyang, Liang-Yuh. Supplier-retailer production and inventory models with defective items and inspection errors in non-cooperative and cooperative environments. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 453-471. doi : 10.1051/ro/2017020. http://www.numdam.org/articles/10.1051/ro/2017020/
[1] A joint economic-lot-size model for purchaser and vendor. Decis. Sci. 17 (1986) 292–311 | DOI
,[2] The joint economic lot sizing problem: Review and extensions. Eur. J. Oper. Res. 185 (2008) 726–742 | DOI | MR | Zbl
, and ,[3] Competitive and cooperative inventory policies in a two-stage supply chain. Manage. Sci. 45 (1999) 936–953 | DOI | Zbl
and ,[4] A new EPQ model: integrating lower pricing, rework and reject situations. Prod. Plan. Control 14 (2003) 588–595 | DOI
, and ,[5] An economic production quantity model with consolidating shipments of imperfect quality items: A note. Int. J. Product. Econ. 144 (2013) 507–509 | DOI
,[6] Integrated vendor-buyer cooperative inventory models with controllable lead time and ordering cost reduction. Eur. J. Oper. Res. 170 (2006) 481–495 | DOI | MR | Zbl
, , and ,[7] Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging. Eng. Optim. 35 (2003) 427–437 | DOI
,[8] A production/remanufacturing inventory model with price and quality dependant return rate. Comput. Ind. Eng. 58 (2010) 352–362 | DOI
and ,[9] A multi-stage production-inventory model with learning and forgetting effects, rework and scrap. Comput. Ind. Eng. 64 (2013) 708–720 | DOI
and ,[10] An integrated inventory model for a single supplier-single customer problem Int. J. Prod. Res. 15 (1976) 107–111 | DOI
,[11] A joint economic-lot-size model for purchaser and vendor: a comment. Decis. Sci. 19 (1988) 236–241 | DOI
,[12] On improving the single-vendor single-buyer integrated production inventory model with a generalized policy. Eur. J. Oper. Res. 125 (2000) 429–430 | DOI | Zbl
,[13] Implementation of JIT purchasing: an integrated approach Prod. Plan. Control 8 (1997) 152–157 | DOI
and ,[14] An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. Int. J. Product. Econ. 143 (2013) 162–170 | DOI
and ,[15] Nash game-theoretic model for optimizing pricing and inventory policies in a three-level supply chain. Electr. Eng. Appl. Comput. 90 (2011) 555–566 | DOI
and ,[16] An economic order quantity model for an imperfect production process with entropy cost. Int. J. Product. Econ. 118 (2009) 26–33 | DOI
, and ,[17] Economic production quantity model for items with imperfect quality subject to learning effects. Int. J. Product. Econ. 115 (2008) 143–150 | DOI
, and ,[18] An integrated supply chain model with errors in quality inspection and learning in production. Omega 42 (2014) 16–24 | DOI
, and ,[19] An economic order quantity (EOQ) for items with imperfect quality and inspection errors. Int. J. Product. Econ. 133 (2011) 113–118 | DOI
, and ,[20] Inventory models for imperfect quality items with shortages and learning in inspection. Appl. Math. Model. 36 (2012), 5334–5343 | DOI | MR | Zbl
, and ,[21] Simultaneous determination of production cycles and inspection schedules in a production system. Manage. Sci. 33 (1987) 1125–1136 | DOI | Zbl
and ,[22] A production and maintenance planning model with restoration cost dependent on detection delay. IIE Trans. 21 (1989) 368–375 | DOI
and ,[23] A one-vendor multi-buyer integrated inventory model. Eur. J. Oper. Res. 81 (1995) 312–323 | DOI | Zbl
,[24] Optimizing integrated manufacturing and products inspection policy for deteriorating manufacturing system with imperfect inspection. J. Manufact. Syst. 37 (2015) 299–315 | DOI
, , and ,[25] Effect of deterioration on the instantaneous replenishment model with imperfect quality items. Appl. Math. Model. 38 (2014) 5956–5966 | DOI | MR | Zbl
, and ,[26] Inventory competition and incentives to back-order. IIE Trans. 38 (2006) 883–902 | DOI
, and ,[27] Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging. Int. J. Product. Econ. 144 (2013) 610–617 | DOI
and ,[28] An optimization approach for joint pricing and ordering problem in an integrated inventory system with order-size dependent trade credit. Comput. Ind. Eng. 57 (2009) 920–930 | DOI
, and ,[29] A stochastic production inventory model for deteriorating items with products’ finite life-cycle. RAIRO: OR 51 (2017) 669–684 | DOI | Numdam | MR | Zbl
, and ,[30] Economic ordering quantity models for items with imperfect quality. Int. J. Product. Econ. 100 (2006) 148–154 | DOI
and ,[31] Game theoretic analysis of the substitutable product inventory problem with random demands. Naval Res. Logist 35 (1988) 397–409 | DOI | MR | Zbl
,[32] Optimal lot sizing, process quality improvement and setup cost reduction. Oper. Res. 34 (1986) 137–144 | DOI | Zbl
,[33] Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier. Int. J. Product. Econ. 137 (2012) 11–18 | DOI
and ,[34] A production-inventory model with remanufacturing for defective and usable items in fuzzy-environment. Comput. Ind. Eng. 56 (2009) 87–96 | DOI
, , and ,[35] Economic production quantity model for items with imperfect quality. Int. J. Product. Econ. 64 (2000) 59–64 | DOI
and ,[36] A production-inventory model in an imperfect production process. Eur. J. Oper. Res. 200 (2010a) 451–464 | DOI | MR | Zbl
,[37] An economic production lot size model in an imperfect production system. Eur. J. Oper. Res. 201 (2010b) 158–170 | DOI | Zbl
,[38] An economic order quantity model for nonconforming quality products. Service Sci. 4 (2012) 331–348 | DOI
,[39] Optimal contract strategies for two stage supply chain. Econ. Model. 30 (2013) 253–260 | DOI
,[40] Optimal batch sizing in a multi-stage production system with rework consideration. Eur. J. Oper. Res. 184 (2008) 915–929 | DOI | MR | Zbl
, and ,[41] A green supply chain model of vendor and buyer for remanufacturing items. RAIRO: OR 51 (2017) 1133–1150 | DOI | Numdam | MR | Zbl
, and ,[42] Multi products single machine EPQ model with immediate rework process. Inter. J. Ind. Eng. Comput. 3 (2012) 93–102
, , and ,[43] A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process. Int. J. Product. Econ. 150 (2014) 9–27 | DOI
, and ,[44] Economic production quantity model with scrapped items and limited production capacity, Scientia Iranica. Trans. E, Ind. Eng. 17 (2010) 58–69
, and ,[45] A genetic algorithm to optimize multiproduct multiconstraint inventory control systems with stochastic replenishment intervals and discount. Int. J. Adv. Manufact. Technol. 51 (2010) 311–323 | DOI
, , and ,[46] Replenish-up-to multi-chance- constraint inventory control system under fuzzy random lost-sale and backordered quantities. Knowl. Based Syst. 53 (2013) 147–156 | DOI
, and ,[47] A particle swarm optimization approach for constraint joint single buyer-single vendor inventory problem with changeable lead time and (r, Q) policy in supply chain. Int. J. Adv. Manufact. Technol. 51 (2010) 1209–1223 | DOI
, , , and ,[48] An economic order quantity model with a known price increase and partial backordering. Eur. J. Oper. Res. 228 (2013) 516–525 | DOI | MR | Zbl
and ,[49] Coordinated procurement/inspection and production model under inspection errors. Comput. Ind. Eng. 59 (2010) 473–478 | DOI
, and ,[50] A three-person game theory model arising in stochastic inventory control theory. Eur. J. Oper. Res. 76 (1994) 83–97 | DOI | Zbl
and ,[51] An integrated multi-lot-size production inventory model for deteriorating item. Comput. Oper. Res. 30 (2003) 671–682 | DOI | Zbl
and ,[52] On a replenishment coordination model in an integrated supply chain with one vendor and multiple buyers. Eur. J. Oper. Res. 159 (2004) 406–419 | DOI | MR | Zbl
and ,[53] Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model. Int. J. Product. Econ. 135 (2012) 345–352 | DOI
, and ,[54] Economic production quantity model with imperfect-quality items,two-way imperfect inspection and sales return. Int. J. Product. Econ. 121 (2009) 255–265 | DOI
, and ,[55] Lot sizing and quality investment with quality cost analyses for imperfect production and inspection processes with commercial return. Int. J. Product. Econ. 140 (2012) 922–933 | DOI
, and ,[56] Nash game model for optimizing market strategies, configuration of platform products in a Vendor Managed Inventory (VMI) supply chain for a product family. Eur. J. Oper. Res. 206 (2010) 361–373 | DOI | MR | Zbl
and ,[57] Joint lot sizing and inspection policy in an EOQ model with random yield. IIE Trans. 22 (1990) 41–47 | DOI
and ,[58] EPQ models for items with imperfect quality and one-time-only discount. Appl. Math. Model. 39 (2015) 1000–1018 | DOI | MR | Zbl
, , and ,[59] A synergic economic order quantity model with trade credit, shortages, imperfect quality and inspection errors. Appl. Math. Model. 40 (2016) 1012–1028 | DOI | MR | Zbl
, and ,[60] Optimal production and shipment models for a single-vendor-single-buyer integrated system. Eur. J. Oper. Res. 180 (2007) 309–328 | DOI | Zbl
and ,Cité par Sources :