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Robust design of (, ) inventory policy parameters in supply chains with demand and lead time uncertainties

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  • Kamran Karimi Movahed
  • Zhi-Hai Zhang

Abstract

Demand and lead time uncertainties have significant effects on supply chain behaviour. In this paper, we present a single-product three-level multi-period supply chain with uncertain demands and lead times by using robust techniques to study the managerial insights of the supply chain inventory system under uncertainty. We formulate this problem as a robust mixed-integer linear program with minimised expected cost and total cost variation to determine the optimal (s, S) values of the inventory parameters. Several numerical studies are performed to investigate the supply chain behaviour. Useful guidelines for the design of a robust supply chain are also provided. Results show that the order variance and the expected cost in a supply chain significantly increase when the manufacturer’s review period is an integer ratio of the distributor’s and the retailer’s review periods.

Suggested Citation

  • Kamran Karimi Movahed & Zhi-Hai Zhang, 2015. "Robust design of (, ) inventory policy parameters in supply chains with demand and lead time uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2258-2268, September.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2258-2268
    DOI: 10.1080/00207721.2013.860637
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    Cited by:

    1. Angelos Kourepis & Alexandros Diamantidis & Stylianos Koukoumialos, 2022. "Exact analysis of a push–pull system with multiple non identical retailers, a distribution center and multiple non identical unreliable suppliers with supply disruptions," Operational Research, Springer, vol. 22(5), pages 4801-4827, November.
    2. Mengshi Lu & Zuo‐Jun Max Shen, 2021. "A Review of Robust Operations Management under Model Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1927-1943, June.
    3. Songtao Zhang & Yanting Hou & Siqi Zhang & Min Zhang, 2017. "Fuzzy Control Model and Simulation for Nonlinear Supply Chain System with Lead Times," Complexity, Hindawi, vol. 2017, pages 1-11, September.
    4. Andreas Thorsen & Tao Yao, 2017. "Robust inventory control under demand and lead time uncertainty," Annals of Operations Research, Springer, vol. 257(1), pages 207-236, October.

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