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A supplier selection and order allocation problem with stochastic demands

Author

Listed:
  • Yun Zhou
  • Lei Zhao
  • Xiaobo Zhao
  • Jianhua Jiang

Abstract

We consider a system comprising a retailer and a set of candidate suppliers that operates within a finite planning horizon of multiple periods. The retailer replenishes its inventory from the suppliers and satisfies stochastic customer demands. At the beginning of each period, the retailer makes decisions on the replenishment quantity, supplier selection and order allocation among the selected suppliers. An optimisation problem is formulated to minimise the total expected system cost, which includes an outer level stochastic dynamic program for the optimal replenishment quantity and an inner level integer program for supplier selection and order allocation with a given replenishment quantity. For the inner level subproblem, we develop a polynomial algorithm to obtain optimal decisions. For the outer level subproblem, we propose an efficient heuristic for the system with integer-valued inventory, based on the structural properties of the system with real-valued inventory. We investigate the efficiency of the proposed solution approach, as well as the impact of parameters on the optimal replenishment decision with numerical experiments.

Suggested Citation

  • Yun Zhou & Lei Zhao & Xiaobo Zhao & Jianhua Jiang, 2011. "A supplier selection and order allocation problem with stochastic demands," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1323-1338.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1323-1338
    DOI: 10.1080/00207721.2010.517864
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    Cited by:

    1. Wenping Xu & Zongjun Wang & Liu Hong & Ligang He & Xueguang Chen, 2015. "The uncertainty recovery analysis for interdependent infrastructure systems using the dynamic inoperability input–output model," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1299-1306, May.
    2. Ching-Ter Chang & Huang-Mu Chen & Zheng-Yun Zhuang, 2014. "Integrated multi-choice goal programming and multi-segment goal programming for supplier selection considering imperfect-quality and price-quantity discounts in a multiple sourcing environment," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 1101-1111, May.
    3. 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.
    4. Noori-Daryan, Mahsa & Taleizadeh, Ata Allah & Jolai, Fariborz, 2019. "Analyzing pricing, promised delivery lead time, supplier-selection, and ordering decisions of a multi-national supply chain under uncertain environment," International Journal of Production Economics, Elsevier, vol. 209(C), pages 236-248.
    5. Wang, Di & Liu, Weihua & Shen, Xinran & Wei, Wanying, 2019. "Service order allocation under uncertain demand: Risk aversion, peer competition, and relationship strength," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 293-311.
    6. Liu, Weihua & Wang, Di & Shen, Xinran & Yan, Xiaoyu & Wei, Wanying, 2018. "The impacts of distributional and peer-induced fairness concerns on the decision-making of order allocation in logistics service supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 102-122.
    7. Weihua Liu & Shuqing Wang & DongLei Zhu & Di Wang & Xinran Shen, 2018. "Order allocation of logistics service supply chain with fairness concern and demand updating: model analysis and empirical examination," Annals of Operations Research, Springer, vol. 268(1), pages 177-213, September.

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