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Supply commitment contract in capacity allocation games

Author

Listed:
  • Yefen Chen

    (Cainiao Smart Logistics Network)

  • Feimin Zhong

    (Hunan University)

  • Zhongbao Zhou

    (Hunan University)

Abstract

This paper considers a supply chain with one supplier and two retailers. The supplier has limited normal capacity. When the orders of two retailers exceed the capacity, the supplier can satisfy the retailers with the limited normal capacity, or he can start an emergent production to increase his capacity in a short time with a high unit production cost. When the cost of quickly expanding capacity is lower than the market price, it is profitable for the whole system to start the emergent production. But the supplier has no incentives to do additional production if his cost is higher than the wholesale price. To resolve this issue, we propose a supply commitment contract that the supplier will fully fill a retailer’s order if the retailer pays a premium to the supplier. We consider a practical setting that each retailer has private information on her average demand. Two contracting scenarios of the supplier are compared: contracting with the two retailers simultaneously (the simultaneous scenario) and sequentially (the sequential scenario). It is shown that the retailers will adopt the threshold strategy based on their private demand information to pay the premium. By numerically studies, we further illustrate the supplier’s optimal contract choices and the consequent system performance. First, the suppliers always prefer the retailers to move simultaneous although the supplier’s profit is only slightly higher than that of the sequential scenario; second, the supplier sets a lower wholesale price and a higher commitment fee in the sequential scenario than those of simultaneous scenario; finally, the sequential scenario is a better choice from the perspectives of both the whole supply chain system and the retailers. Our research recommends the sequential moving in the supply commitment contract that it benefits the whole supply chain system with only slightly less efficient for the supplier.

Suggested Citation

  • Yefen Chen & Feimin Zhong & Zhongbao Zhou, 2023. "Supply commitment contract in capacity allocation games," Annals of Operations Research, Springer, vol. 329(1), pages 373-399, October.
  • Handle: RePEc:spr:annopr:v:329:y:2023:i:1:d:10.1007_s10479-020-03769-4
    DOI: 10.1007/s10479-020-03769-4
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    References listed on IDEAS

    as
    1. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Allocation Using Past Sales: When to Turn-and-Earn," Management Science, INFORMS, vol. 45(5), pages 685-703, May.
    2. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    3. Zhixin Liu, 2012. "Equilibrium analysis of capacity allocation with demand competition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 254-265, April.
    4. Hanan Luss, 1982. "Operations Research and Capacity Expansion Problems: A Survey," Operations Research, INFORMS, vol. 30(5), pages 907-947, October.
    5. Jin, Mingzhou & David Wu, S., 2007. "Capacity reservation contracts for high-tech industry," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1659-1677, February.
    6. Nicholas G. Hall & Zhixin Liu, 2010. "Capacity Allocation and Scheduling in Supply Chains," Operations Research, INFORMS, vol. 58(6), pages 1711-1725, December.
    7. Jianbin Li & Niu Yu & Zhixin Liu & Xueyuan Cai, 2017. "Allocation with demand competition: Uniform, proportional, and lexicographic mechanisms," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(2), pages 85-107, March.
    8. Serel, Dogan A. & Dada, Maqbool & Moskowitz, Herbert, 2001. "Sourcing decisions with capacity reservation contracts," European Journal of Operational Research, Elsevier, vol. 131(3), pages 635-648, June.
    9. Scott DuHadway & Steven Carnovale & Benjamin Hazen, 2019. "Understanding risk management for intentional supply chain disruptions: risk detection, risk mitigation, and risk recovery," Annals of Operations Research, Springer, vol. 283(1), pages 179-198, December.
    10. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2015. "Investing in a Shared Supplier in a Competitive Market: Stochastic Capacity Case," Production and Operations Management, Production and Operations Management Society, vol. 24(10), pages 1537-1551, October.
    11. Bin Hu & Dimitris Kostamis, 2015. "Managing Supply Disruptions when Sourcing from Reliable and Unreliable Suppliers," Production and Operations Management, Production and Operations Management Society, vol. 24(5), pages 808-820, May.
    12. Gérard P. Cachon & Martin A. Lariviere, 2001. "Contracting to Assure Supply: How to Share Demand Forecasts in a Supply Chain," Management Science, INFORMS, vol. 47(5), pages 629-646, May.
    13. Lingxiu Dong & Brian Tomlin, 2012. "Managing Disruption Risk: The Interplay Between Operations and Insurance," Management Science, INFORMS, vol. 58(10), pages 1898-1915, October.
    14. Sammi Y. Tang & Haresh Gurnani & Diwakar Gupta, 2014. "Managing Disruptions in Decentralized Supply Chains with Endogenous Supply Process Reliability," Production and Operations Management, Production and Operations Management Society, vol. 23(7), pages 1198-1211, July.
    15. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
    16. Zhanping Cheng & Xiaodong Yang & Andy A. Tsay, 2017. "Designing structured supply contracts under demand and price uncertainty in an open supply chain," Annals of Operations Research, Springer, vol. 257(1), pages 519-536, October.
    17. Hazra, Jishnu & Mahadevan, B., 2009. "A procurement model using capacity reservation," European Journal of Operational Research, Elsevier, vol. 193(1), pages 303-316, February.
    18. Lu, Qihui & Chen, Xiangfeng, 2018. "Capacity expansion investment of supplier under make-to-order and make-to-stock supply chains," International Journal of Production Economics, Elsevier, vol. 198(C), pages 133-148.
    19. Basu, Preetam & Avittathur, Balram, 2018. "Pricing and sourcing strategies for competing retailers in supply chains under disruption riskAuthor-Name: Kumar, Milan," European Journal of Operational Research, Elsevier, vol. 265(2), pages 533-543.
    20. Chen Wang & Zhe Yin, 2018. "Using backup supply with responsive pricing to mitigate disruption risk for a risk-averse firm," International Journal of Production Research, Taylor & Francis Journals, vol. 56(17), pages 5660-5676, September.
    21. Lawrence V. Snyder & Zümbül Atan & Peng Peng & Ying Rong & Amanda J. Schmitt & Burcu Sinsoysal, 2016. "OR/MS models for supply chain disruptions: a review," IISE Transactions, Taylor & Francis Journals, vol. 48(2), pages 89-109, February.
    22. Lauren Xiaoyuan Lu & Martin A. Lariviere, 2012. "Capacity Allocation over a Long Horizon: The Return on Turn-and-Earn," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 24-41, January.
    23. Bin Shen & Tsan-Ming Choi & Stefan Minner, 2019. "A review on supply chain contracting with information considerations: information updating and information asymmetry," International Journal of Production Research, Taylor & Francis Journals, vol. 57(15-16), pages 4898-4936, August.
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