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Procurement risk management using capacitated option contracts with fixed ordering costs

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  • Chung-Yee Lee
  • Xi Li
  • Yapeng Xie

Abstract

This article considers a single-period, multiple-supplier procurement problem with capacity constraints and fixed ordering costs. The buyer can procure from suppliers by signing option contracts with them to meet future uncertain demand. It can purchase from the spot market for prompt delivery at an uncertain price. The objective is to find the optimal portfolio of option contracts with minimal total expected procurement cost. Three cases are discussed. For the case with constant capacity constraints and fixed ordering cost, a dynamic programming approach is used to build a cost function that is strong CK-convex and characterize the structure of the optimal procurement policy, which is similar to the (s, S) policy. However, there is no efficient algorithm for the calculation of the critical parameters or the optimal solution. For the remaining two more restricted cases, one with only capacity constraints (yet zero ordering cost) and the other one with positive ordering cost (yet without capacity constraint), two polynomial algorithms are provided that are able to solve each of them, respectively.

Suggested Citation

  • Chung-Yee Lee & Xi Li & Yapeng Xie, 2013. "Procurement risk management using capacitated option contracts with fixed ordering costs," IISE Transactions, Taylor & Francis Journals, vol. 45(8), pages 845-864.
    • Handle: RePEc:taf:uiiexx:v:45:y:2013:i:8:p:845-864
    DOI: 10.1080/0740817X.2012.745203
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    Citations

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    Cited by:

    1. Deng Jia & Chong Wang, 2022. "Option Contracts in Fresh Produce Supply Chain with Freshness-Keeping Effort," Mathematics, MDPI, vol. 10(8), pages 1-24, April.
    2. Zhu, Wanshan & Wu, Zhengping, 2014. "The stochastic ordering of mean-preserving transformations and its applications," European Journal of Operational Research, Elsevier, vol. 239(3), pages 802-809.
    3. Berling, Peter, 2021. "A note generalizing “an option mechanism to coordinate a dyadic supply chain bilaterally in a multi-period setting”," Omega, Elsevier, vol. 101(C).
    4. Edward Anderson & Bo Chen & Lusheng Shao, 2017. "Supplier Competition with Option Contracts for Discrete Blocks of Capacity," Operations Research, INFORMS, vol. 65(4), pages 952-967, August.
    5. Eriksson, Katarina, 2019. "An option mechanism to coordinate a dyadic supply chain bilaterally in a multi-period setting," Omega, Elsevier, vol. 88(C), pages 196-209.
    6. Li, Jianbin & Luo, Xiaomeng & Wang, Qifei & Zhou, Weihua, 2021. "Supply chain coordination through capacity reservation contract and quantity flexibility contract," Omega, Elsevier, vol. 99(C).
    7. Gongli Luo & Xiaoqing Liu & Felix T. S. Chan, 2023. "Optimal Ordering Decisions in Portfolio Procurement Considering Spot Price Fluctuation," Sustainability, MDPI, vol. 15(14), pages 1-13, July.
    8. Awi Federgruen & Zhe Liu & Lijian Lu, 2022. "Dual sourcing: Creating and utilizing flexible capacities with a second supply source," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 2789-2805, July.
    9. Li, Yemei & Shan, Yanfei & Ling, Shuang, 2022. "Research on option pricing and coordination mechanism of festival food supply chain," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    10. Xu, Xinsheng & Ji, Ping & Chan, Felix T.S., 2022. "On maximizing a loss-averse buyer’s expected utility in a multi-sourcing problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 388-404.
    11. Jiarong Luo & Xu Chen & Chong Wang & Gaoxun Zhang, 2021. "Bidirectional options in random yield supply chains with demand and spot price uncertainty," Annals of Operations Research, Springer, vol. 302(1), pages 211-230, July.
    12. Chung‐Yee Lee & Xi Li & Mingzhu Yu, 2015. "The loss‐averse newsvendor problem with supply options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 46-59, February.
    13. Chong Wang & Xu Chen, 2017. "Option pricing and coordination in the fresh produce supply chain with portfolio contracts," Annals of Operations Research, Springer, vol. 248(1), pages 471-491, January.
    14. Gerda Žigienė & Egidijus Rybakovas & Rimgailė Vaitkienė & Vaidas Gaidelys, 2022. "Setting the Grounds for the Transition from Business Analytics to Artificial Intelligence in Solving Supply Chain Risk," Sustainability, MDPI, vol. 14(19), pages 1-23, September.

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