期刊
TRANSPORTATION SCIENCE
卷 55, 期 5, 页码 1170-1186出版社
INFORMS
DOI: 10.1287/trsc.2021.1050
关键词
hinterland container transport; sensitivity analysis; collaborative transport
资金
- European Union's Horizon 2020 research and innovation programme [690588]
- Bavarian State Ministry of Education, Science and the Arts within the Bavarian Funding Programme for the Initiation of International Cooperations (BayIntAn)
- H2020 Societal Challenges Programme [690588] Funding Source: H2020 Societal Challenges Programme
Studying cooperation among hinterland container transport operators reveals that overcapacity undermines stability, and overcapacitated networks may permit stable cooperation in only a limited range of settings.
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.
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