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The cost allocation issue in joint replenishment

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  • Dror, Moshe
  • Hartman, Bruce C.
  • Chang, Wei

Abstract

Joint replenishment for several products to achieve a lower inventory logistics cost has been a topic of extensive studies. Less attention has been paid to the issue of deciding how the joint replenishment costs should be allocated across the individual products. Ideally, when items are ordered together one would require a stable cost allocation, such that no subset of products subsidizes another subset. When part of each product's ordering cost is product specific and part can be shared with other products (like in a 3PL setting of Anily and Haviv), it has been shown that even when a stable allocation exists, such an allocation might be difficult to compute. In addition, usually the components of ordering costs are partially determined using estimates and accounting discretion. This paper provides two main insights for determining an appropriate cost allocation. It provides the means to test how sensitive a stable cost allocation is to a range of cost parameter values. Then, in a computational study, it is shown how to obtain a stable cost allocation without excessive computation.

Suggested Citation

  • Dror, Moshe & Hartman, Bruce C. & Chang, Wei, 2012. "The cost allocation issue in joint replenishment," International Journal of Production Economics, Elsevier, vol. 135(1), pages 242-254.
  • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:242-254
    DOI: 10.1016/j.ijpe.2011.07.015
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    References listed on IDEAS

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    Cited by:

    1. Simai He & Jay Sethuraman & Xuan Wang & Jiawei Zhang, 2017. "A NonCooperative Approach to Cost Allocation in Joint Replenishment," Operations Research, INFORMS, vol. 65(6), pages 1562-1573, December.
    2. Shuo Zeng & Moshe Dror, 2019. "Serving many masters: an agent and his principals," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 23-59, August.
    3. Padilla Tinoco, Silvia Valeria & Creemers, Stefan & Boute, Robert N., 2017. "Collaborative shipping under different cost-sharing agreements," European Journal of Operational Research, Elsevier, vol. 263(3), pages 827-837.
    4. Palsule-Desai, Omkar D. & Tirupati, Devanath & Chandra, Pankaj, 2013. "Stability issues in supply chain networks: Implications for coordination mechanisms," International Journal of Production Economics, Elsevier, vol. 142(1), pages 179-193.
    5. Körpeoğlu, Evren & Şen, Alper & Güler, Kemal, 2013. "Non-cooperative joint replenishment under asymmetric information," European Journal of Operational Research, Elsevier, vol. 227(3), pages 434-443.
    6. Günter Fandel & Jan Trockel, 2016. "Investment and lot size planning in a supply chain: coordinating a just-in-time-delivery with a Harris- or a Wagner/Whitin-solution," Journal of Business Economics, Springer, vol. 86(1), pages 173-195, January.
    7. Xuefei Shi & Haiyan Wang, 2022. "Design of the cost allocation rule for joint replenishment to an overseas warehouse with a piecewise linear holding cost rate," Operational Research, Springer, vol. 22(5), pages 4905-4929, November.
    8. Timmer, Judith & Chessa, Michela & Boucherie, Richard J., 2013. "Cooperation and game-theoretic cost allocation in stochastic inventory models with continuous review," European Journal of Operational Research, Elsevier, vol. 231(3), pages 567-576.
    9. Mohita Gangwar Sharma & K. N. Singh, 2017. "Servitization, Coopetition, and Sustainability: An Operations Perspective in Aviation Industry," Vikalpa: The Journal for Decision Makers, , vol. 42(3), pages 145-152, September.
    10. Xiaozhou Xu & Shenle Pan & Eric Ballot, 2013. "A sharing mechanism for superadditive and non-superadditive logistics cooperation," Post-Print halshs-00876006, HAL.
    11. Zheng, Qi & Zhou, Li & Fan, Tijun & Ieromonachou, Petros, 2019. "Joint procurement and pricing of fresh produce for multiple retailers with a quantity discount contract," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 16-36.

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