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Cost Allocation for Horizontal Carrier Coalitions Based on Approximated Shapley Values

In: Operations Research Proceedings 2015

Author

Listed:
  • Kristian Schopka

    (University of Bremen)

  • Herbert Kopfer

    (University of Bremen)

Abstract

To improve competitiveness, small and mid-sized carriers ally in horizontal carrier coalitions for request exchange. A crucial aspect for the long-term viability and stability of coalitions is a fair cost allocation among the agents. Despite of the long computing time, the well-known Shapley value has been used as a scheme for cost allocation. The contribution of this paper lies on the development of a suitable sampling procedure that approximates the Shapley value applied to cost allocations for the collaborative traveling salesman problem with time windows. A computational study identifies the deviation of the values generated by the proposed sampling procedures from the actual Shapley value.

Suggested Citation

  • Kristian Schopka & Herbert Kopfer, 2017. "Cost Allocation for Horizontal Carrier Coalitions Based on Approximated Shapley Values," Operations Research Proceedings, in: Karl Franz Dörner & Ivana Ljubic & Georg Pflug & Gernot Tragler (ed.), Operations Research Proceedings 2015, pages 133-140, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-42902-1_18
    DOI: 10.1007/978-3-319-42902-1_18
    as

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