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Integration of the cost allocation in the optimization of collaborative bundling

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  • Vanovermeire, Christine
  • Sörensen, Kenneth

Abstract

A model is proposed that integrates a cost allocation method – the Shapley value – into the optimization of the synchronized consolidation of transportation orders. By balancing each partner’s delivery date changes (when synchronizing) against its allocated profit, it ensures that the operational plan is acceptable by all partners. In comparison to a model that first plans and then divides the costs, this model limits expensive delivery date changes and does not systematically favor a company with a slightly higher cost of change.

Suggested Citation

  • Vanovermeire, Christine & Sörensen, Kenneth, 2014. "Integration of the cost allocation in the optimization of collaborative bundling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 125-143.
    • Handle: RePEc:eee:transe:v:72:y:2014:i:c:p:125-143
    DOI: 10.1016/j.tre.2014.09.009
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    References listed on IDEAS

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    Cited by:

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    3. Defryn, Christof & Sörensen, Kenneth, 2018. "Multi-objective optimisation models for the travelling salesman problem with horizontal cooperation," European Journal of Operational Research, Elsevier, vol. 267(3), pages 891-903.
    4. Yanjun Shi & Na Lin & Qiaomei Han & Tongliang Zhang & Weiming Shen, 2020. "A Method for Transportation Planning and Profit Sharing in Collaborative Multi-Carrier Vehicle Routing," Mathematics, MDPI, vol. 8(10), pages 1-23, October.
    5. Gansterer, Margaretha & Hartl, Richard F., 2018. "Collaborative vehicle routing: A survey," European Journal of Operational Research, Elsevier, vol. 268(1), pages 1-12.
    6. Defryn, Christof & Sörensen, Kenneth & Cornelissens, Trijntje, 2016. "The selective vehicle routing problem in a collaborative environment," European Journal of Operational Research, Elsevier, vol. 250(2), pages 400-411.
    7. Lotte Verdonck & Katrien Ramaekers & Benoît Depaire & An Caris & Gerrit K. Janssens, 2019. "Analysing the Effect of Partner Characteristics on the Performance of Horizontal Carrier Collaborations," Networks and Spatial Economics, Springer, vol. 19(2), pages 583-609, June.
    8. Lai, Minghui & Cai, Xiaoqiang & Li, Xiang, 2017. "Mechanism design for collaborative production-distribution planning with shipment consolidation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 137-159.
    9. Cleophas, Catherine & Cottrill, Caitlin & Ehmke, Jan Fabian & Tierney, Kevin, 2019. "Collaborative urban transportation: Recent advances in theory and practice," European Journal of Operational Research, Elsevier, vol. 273(3), pages 801-816.
    10. Eren Akyol, Derya & De Koster, René B.M., 2018. "Determining time windows in urban freight transport: A city cooperative approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 34-50.

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