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An Analysis of the Stability of Hinterland Container Transport Cooperation

Author

Listed:
  • Alberto Giudici

    (Rotterdam School of Management, Erasmus University, 3062 PA Rotterdam, Netherlands)

  • Tao Lu

    (School of Business, University of Connecticut, Storrs, Connecticut 06269)

  • Clemens Thielen

    (TUM Campus Straubing for Biotechnology and Sustainability, Technical University of Munich, 94315 Straubing, Germany)

  • Rob Zuidwijk

    (Rotterdam School of Management, Erasmus University, 3062 PA Rotterdam, Netherlands)

Abstract

We study cooperation among hinterland container transport operators that may share transport capacity and demand in corridors between inland and sea ports. We model this transportation problem as a minimum cost flow problem and assume that operators share the total cost based on a bargaining outcome, which has been proven equivalent to the Shapley value. To examine the stability of such cooperation, we perform a sensitivity analysis of the membership of the Shapley value (the bargaining outcome) to the core (the set of stable outcomes) by leveraging a novel concept of parametric cooperative games. We obtain closed-form solutions for identical players that explicitly characterize the impact of overcapacity on the stability of cooperation. For more general cases, we develop a computational approach based on parametric optimization techniques. The numerical results indicate that our primary analytical result, that is, that overcapacity undermines stability, is generally valid, and that overcapacitated networks may permit stable cooperation in only a limited range of settings.

Suggested Citation

  • Alberto Giudici & Tao Lu & Clemens Thielen & Rob Zuidwijk, 2021. "An Analysis of the Stability of Hinterland Container Transport Cooperation," Transportation Science, INFORMS, vol. 55(5), pages 1170-1186, September.
    • Handle: RePEc:inm:ortrsc:v:55:y:2021:i:5:p:1170-1186
    DOI: 10.1287/trsc.2021.1050
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