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Measuring and rewarding flexibility in collaborative distribution, including two-partner coalitions


  • VANOVERMEIRE, Christine
  • SÖRENSEN, Kenneth


Horizontal collaboration among shippers is gaining traction as a way to increase logistic efficiency. The total distribution cost of a logistic coalition is generally between 9% and 30% lower than the sum of costs of each partner distributing separately. However, the coalition gain is highly dependent on the flexibility that each partner allows in its delivery terms. Flexible delivery dates, flexible order sizes, order splitting rules, etc., allow the coalition to exploit more opportunities for optimization and create better and cheaper distribution plans. An important challenge in a logistic coalition is the division (or sharing) of the coalition gain. Several methods have been proposed for this purpose, often stemming from the field of game theory. This paper states that an adequate gain sharing method should not only be fair, but should also reward flexibility in order to persuade companies to relax their delivery terms. Methods that limit the criteria for cost allocation to the marginal costs and the values of the sub coalitions are found to be able to generate adequate incentives for companies to adopt a flexible position. In a coalition of two partners however, we show that these methods are not able to correctly evaluate an asymmetric effort to be more flexible. For this situation, we suggest an alternative approach to better measure and reward the value of flexibility.

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  • VANOVERMEIRE, Christine & SÖRENSEN, Kenneth, 2013. "Measuring and rewarding flexibility in collaborative distribution, including two-partner coalitions," Working Papers 2013017, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2013017

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    References listed on IDEAS

    1. Cruijssen, Frans & Cools, Martine & Dullaert, Wout, 2007. "Horizontal cooperation in logistics: Opportunities and impediments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 129-142, March.
    2. E. Loehman & A. Whinston, 1974. "An Axiomatic Approach to Cost Allocation for Public Investment," Public Finance Review, , vol. 2(2), pages 236-250, April.
    3. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    4. Frisk, M. & Göthe-Lundgren, M. & Jörnsten, K. & Rönnqvist, M., 2010. "Cost allocation in collaborative forest transportation," European Journal of Operational Research, Elsevier, vol. 205(2), pages 448-458, September.
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    Logistics; Game Theory; Shapley value; Nucleolus; Collaboration;

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