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Coordinating a three-layer supply chain with uncertain demand and random yield

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  • B.C. Giri
  • S. Bardhan
  • T. Maiti

Abstract

The paper considers a three-layer supply chain involving one raw-material supplier, one manufacturer and one retailer. The market demand is assumed to be stochastic and productions at the raw-material supplier and manufacturer are subject to random yield. The centralised model is studied as the benchmark case. The decentralised model is solved and Nash equilibrium solutions are obtained. It is shown that buyback contract fails to coordinate such a supply chain. However, a composite contract framed combining buyback, and sales rebate and penalty contracts is shown to coordinate the supply chain. Numerical examples are provided to illustrate the developed models.

Suggested Citation

  • B.C. Giri & S. Bardhan & T. Maiti, 2016. "Coordinating a three-layer supply chain with uncertain demand and random yield," International Journal of Production Research, Taylor & Francis Journals, vol. 54(8), pages 2499-2518, April.
  • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:8:p:2499-2518
    DOI: 10.1080/00207543.2015.1119324
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    as
    1. Wu, Desheng, 2013. "Coordination of competing supply chains with news-vendor and buyback contract," International Journal of Production Economics, Elsevier, vol. 144(1), pages 1-13.
    2. Li, Jianli & Liu, Liwen, 2006. "Supply chain coordination with quantity discount policy," International Journal of Production Economics, Elsevier, vol. 101(1), pages 89-98, May.
    3. Giannoccaro, Ilaria & Pontrandolfo, Pierpaolo, 2004. "Supply chain coordination by revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 89(2), pages 131-139, May.
    4. Yeo, Wee Meng & Yuan, Xue-Ming, 2011. "Optimal inventory policy with supply uncertainty and demand cancellation," European Journal of Operational Research, Elsevier, vol. 211(1), pages 26-34, May.
    5. Bose, Indranil & Anand, Paul, 2007. "On returns policies with exogenous price," European Journal of Operational Research, Elsevier, vol. 178(3), pages 782-788, May.
    6. Harish Krishnan & Roman Kapuscinski & David A. Butz, 2004. "Coordinating Contracts for Decentralized Supply Chains with Retailer Promotional Effort," Management Science, INFORMS, vol. 50(1), pages 48-63, January.
    7. Hsieh, Chung-Chi & Wu, Cheng-Han, 2008. "Capacity allocation, ordering, and pricing decisions in a supply chain with demand and supply uncertainties," European Journal of Operational Research, Elsevier, vol. 184(2), pages 667-684, January.
    8. Hu, Fei & Lim, Cheng-Chew & Lu, Zudi, 2013. "Coordination of supply chains with a flexible ordering policy under yield and demand uncertainty," International Journal of Production Economics, Elsevier, vol. 146(2), pages 686-693.
    9. Hamilton Emmons & Stephen M. Gilbert, 1998. "Note. The Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods," Management Science, INFORMS, vol. 44(2), pages 276-283, February.
    10. Chen, Haoya & Chen, Youhua (Frank) & Chiu, Chun-Hung & Choi, Tsan-Ming & Sethi, Suresh, 2010. "Coordination mechanism for the supply chain with leadtime consideration and price-dependent demand," European Journal of Operational Research, Elsevier, vol. 203(1), pages 70-80, May.
    11. Yao, Dong-Qing & Yue, Xiaohang & Wang, Xiaoyin & Liu, John J., 2005. "The impact of information sharing on a returns policy with the addition of a direct channel," International Journal of Production Economics, Elsevier, vol. 97(2), pages 196-209, August.
    12. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    13. Yao, Z. & Leung, Stephen C.H. & Lai, K.K., 2008. "Analysis of the impact of price-sensitivity factors on the returns policy in coordinating supply chain," European Journal of Operational Research, Elsevier, vol. 187(1), pages 275-282, May.
    14. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    15. Walter Y. Oi, 1971. "A Disneyland Dilemma: Two-Part Tariffs for a Mickey Mouse Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(1), pages 77-96.
    16. Maqbool Dada & Nicholas C. Petruzzi & Leroy B. Schwarz, 2007. "A Newsvendor's Procurement Problem when Suppliers Are Unreliable," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 9-32, August.
    17. Sunil Chopra & Gilles Reinhardt & Usha Mohan, 2007. "The importance of decoupling recurrent and disruption risks in a supply chain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 544-555, August.
    18. Ananth. V. Iyer & Mark E. Bergen, 1997. "Quick Response in Manufacturer-Retailer Channels," Management Science, INFORMS, vol. 43(4), pages 559-570, April.
    19. Yoo, Seung Ho, 2014. "Product quality and return policy in a supply chain under risk aversion of a supplier," International Journal of Production Economics, Elsevier, vol. 154(C), pages 146-155.
    20. Devangan, Lokendra & Amit, R.K. & Mehta, Peeyush & Swami, Sanjeev & Shanker, Kripa, 2013. "Individually rational buyback contracts with inventory level dependent demand," International Journal of Production Economics, Elsevier, vol. 142(2), pages 381-387.
    21. Xin Chen & Chung‐Lun Li & Byong‐Duk Rhee & David Simchi‐Levi, 2007. "The impact of manufacturer rebates on supply chain profits," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 667-680, September.
    22. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2008. "Pricing and rebate policies in the two-echelon supply chain with asymmetric information under price-dependent, stochastic demand," International Journal of Production Economics, Elsevier, vol. 113(2), pages 598-618, June.
    23. Wang, Daqin & Tang, Ou & Zhang, Lihua, 2014. "A periodic review lot sizing problem with random yields, disruptions and inventory capacity," International Journal of Production Economics, Elsevier, vol. 155(C), pages 330-339.
    24. Yuyue Song & Saibal Ray & Shanling Li, 2008. "Structural Properties of Buyback Contracts for Price-Setting Newsvendors," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 1-18, November.
    25. Lee, Chang Hwan & Rhee, Byong-Duk, 2007. "Channel coordination using product returns for a supply chain with stochastic salvage capacity," European Journal of Operational Research, Elsevier, vol. 177(1), pages 214-238, February.
    26. Saha, Subrata, 2013. "Supply chain coordination through rebate induced contracts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 120-137.
    27. Norris Bruce & Preyas Desai & Richard Staelin, 2006. "Enabling the Willing: Consumer Rebates for Durable Goods," Marketing Science, INFORMS, vol. 25(4), pages 350-366, 07-08.
    28. Xiao, Tiaojun & Shi, Kuiran & Yang, Danqin, 2010. "Coordination of a supply chain with consumer return under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 124(1), pages 171-180, March.
    29. Xing, Dahai & Liu, Tieming, 2012. "Sales effort free riding and coordination with price match and channel rebate," European Journal of Operational Research, Elsevier, vol. 219(2), pages 264-271.
    30. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Coordination Mechanisms for a Distribution System with One Supplier and Multiple Retailers," Management Science, INFORMS, vol. 47(5), pages 693-708, May.
    31. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    32. Yang, Shilei & Munson, Charles L. & Chen, Bintong, 2010. "Using MSRP to enhance the ability of rebates to control distribution channels," European Journal of Operational Research, Elsevier, vol. 205(1), pages 127-135, August.
    33. Eitan Gerstner & James D. Hess, 1995. "Pull Promotions and Channel Coordination," Marketing Science, INFORMS, vol. 14(1), pages 43-60.
    34. Mantrala, Murali K. & Raman, Kalyan, 1999. "Demand uncertainty and supplier's returns policies for a multi-store style-good retailer," European Journal of Operational Research, Elsevier, vol. 115(2), pages 270-284, June.
    35. Philip C. Jones & Timothy J. Lowe & Rodney D. Traub & Greg Kegler, 2001. "Matching Supply and Demand: The Value of a Second Chance in Producing Hybrid Seed Corn," Manufacturing & Service Operations Management, INFORMS, vol. 3(2), pages 122-137, April.
    36. Arcelus, F.J. & Gor, Ravi & Srinivasan, G., 2012. "Price, rebate and order quantity decisions in a newsvendor framework with rebate-dependent recapture of lost sales," International Journal of Production Economics, Elsevier, vol. 140(1), pages 473-482.
    37. Yin, Zhe & Ma, Shihua, 2015. "Incentives to improve the service level in a random yield supply chain: The role of bonus contracts," European Journal of Operational Research, Elsevier, vol. 244(3), pages 778-791.
    38. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
    39. Xu, He, 2010. "Managing production and procurement through option contracts in supply chains with random yield," International Journal of Production Economics, Elsevier, vol. 126(2), pages 306-313, August.
    40. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    41. Burak Kazaz, 2004. "Production Planning Under Yield and Demand Uncertainty with Yield-Dependent Cost and Price," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 209-224, October.
    42. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2008. "Evaluating manufacturer's buyback policies in a single-period two-echelon framework under price-dependent stochastic demand," Omega, Elsevier, vol. 36(5), pages 808-824, October.
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    7. Giri, B.C. & Bardhan, Sudarshan, 2017. "Sub-supply chain coordination in a three-layer chain under demand uncertainty and random yield in production," International Journal of Production Economics, Elsevier, vol. 191(C), pages 66-73.
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