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Structural properties of the optimal policy for dual-sourcing systems with general lead times

Author

Listed:
  • Zhongsheng Hua
  • Yimin Yu
  • Wei Zhang
  • Xiaoyan Xu

Abstract

This article considers a periodic-review inventory problem with two suppliers. The regular supplier has a longer lead time than the expedited supplier but has a lower unit cost. The structural properties of the optimal orders are characterized using the notion of L♮-convexity. Interestingly, the optimal regular order is more sensitive to the late-to-arrive outstanding orders, but the optimal expedited order is more sensitive to the soon-to-arrive outstanding orders. A heuristic policy is designed that provides an average cost saving of 1.02% over the best heuristic policy in the literature.

Suggested Citation

  • Zhongsheng Hua & Yimin Yu & Wei Zhang & Xiaoyan Xu, 2015. "Structural properties of the optimal policy for dual-sourcing systems with general lead times," IISE Transactions, Taylor & Francis Journals, vol. 47(8), pages 841-850, August.
  • Handle: RePEc:taf:uiiexx:v:47:y:2015:i:8:p:841-850
    DOI: 10.1080/0740817X.2014.982839
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    Citations

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    Cited by:

    1. Chaolin Yang & Diyuan Huang & Chenyang Xu, 2022. "Multi-index base-stock policy for inventory systems with multiple capacitated suppliers," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 155-177, March.
    2. Younes Hamdouch & Youssef Boulaksil & Kilani Ghoudi, 2023. "Dual sourcing inventory management with nonconsecutive lead times from a supply chain perspective: a numerical study," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 1013-1041, September.
    3. Robert N. Boute & Stephen M. Disney & Joren Gijsbrechts & Jan A. Van Mieghem, 2022. "Dual Sourcing and Smoothing Under Nonstationary Demand Time Series: Reshoring with SpeedFactories," Management Science, INFORMS, vol. 68(2), pages 1039-1057, February.
    4. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    5. Youyi Feng & Mozart B.C. Menezes, 2022. "Integrated production and renewable energy generation in the presence of hydrogen energy storage," Production and Operations Management, Production and Operations Management Society, vol. 31(5), pages 2222-2236, May.
    6. Xie, Chen & Wang, Liangquan & Yang, Chaolin, 2021. "Robust inventory management with multiple supply sources," European Journal of Operational Research, Elsevier, vol. 295(2), pages 463-474.
    7. Lucas Böttcher & Thomas Asikis & Ioannis Fragkos, 2023. "Control of Dual-Sourcing Inventory Systems Using Recurrent Neural Networks," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1308-1328, November.
    8. Jiankun Sun & Jan A. Van Mieghem, 2019. "Robust Dual Sourcing Inventory Management: Optimality of Capped Dual Index Policies and Smoothing," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 912-931, October.
    9. Boute, Robert N. & Gijsbrechts, Joren & van Jaarsveld, Willem & Vanvuchelen, Nathalie, 2022. "Deep reinforcement learning for inventory control: A roadmap," European Journal of Operational Research, Elsevier, vol. 298(2), pages 401-412.
    10. David A. Goldberg & Martin I. Reiman & Qiong Wang, 2021. "A Survey of Recent Progress in the Asymptotic Analysis of Inventory Systems," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1718-1750, June.
    11. Yanyi Xu & Doğan A. Serel & Arnab Bisi & Maqbool Dada, 2022. "Coping with Demand Uncertainty: The Interplay between Dual Sourcing and Endogenous Partial Backordering," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1560-1575, April.
    12. Tong Wang & Xiting Gong & Sean X. Zhou, 2017. "Dynamic Inventory Management with Total Minimum Order Commitments and Two Supply Options," Operations Research, INFORMS, vol. 65(5), pages 1285-1302, October.
    13. Jiahua Zhang & Lian Qi & Shilu Tong, 2021. "Dynamic Contract under Quick Response in a Supply Chain with Information Asymmetry," Production and Operations Management, Production and Operations Management Society, vol. 30(5), pages 1273-1289, May.
    14. Zheng, Meimei & Ye, Hongqing & Wang, Dong & Pan, Ershun, 2021. "Joint Optimization of Condition-Based Maintenance and Spare Parts Orders for Multi-Unit Systems with Dual Sourcing," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    15. Jing-Sheng Song & Li Xiao & Hanqin Zhang & Paul Zipkin, 2017. "Optimal Policies for a Dual-Sourcing Inventory Problem with Endogenous Stochastic Lead Times," Operations Research, INFORMS, vol. 65(2), pages 379-395, April.
    16. Linwei Xin & David A. Goldberg, 2018. "Asymptotic Optimality of Tailored Base-Surge Policies in Dual-Sourcing Inventory Systems," Management Science, INFORMS, vol. 64(1), pages 437-452, January.
    17. 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.
    18. Tong Wang & Xiaoyue Yan & Chaolin Yang, 2021. "Managing a Hybrid RDC‐DC Inventory System," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3679-3697, October.

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