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Collaborative transportation with overlapping coalitions

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  • Guajardo, Mario
  • Rönnqvist, Mikael
  • Flisberg, Patrik
  • Frisk, Mikael

Abstract

Most literature on collaborative transportation has focused on cost allocation, assuming as given which companies take part in the collaboration. However, a primary problem is the formation of coalitions. In this article, we study the so-called coalition configuration problem, in which any company can collaborate in more than one coalition. This is more general than the classic coalition structure problem, where a company must belong to only one coalition. We develop two approaches for coalition configuration in transportation. One is area-driven, which assumes the whole territory is divided into areas and then finds coalitions within each area by integer linear models. The other approach consists of a mixed integer linear programming model that embeds the coalition configuration in the transportation problem. Our motivation comes from a real world case in the forest fuels industry in Sweden, involving 27 companies, 200,000 transports, and 6 million tonnes of forest biomass, equivalent to 17 terawatt hours of energy consumption. Collaborative transportation renders about 8% of potential cost savings in this case, and may also help to increase the use of bioenergy. The coalition configuration increases by about 2.5% the savings obtained by the coalition structure and is competitive with the savings of the grand coalition.

Suggested Citation

  • Guajardo, Mario & Rönnqvist, Mikael & Flisberg, Patrik & Frisk, Mikael, 2018. "Collaborative transportation with overlapping coalitions," European Journal of Operational Research, Elsevier, vol. 271(1), pages 238-249.
    • Handle: RePEc:eee:ejores:v:271:y:2018:i:1:p:238-249
    DOI: 10.1016/j.ejor.2018.05.001
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    9. Rahmoune, Mahdi & Radjef, Mohammed Said & Boukherroub, Tasseda & Carvalho, Margarida, 2024. "A new integrated cooperative game and optimization model for the allocation of forest resources," European Journal of Operational Research, Elsevier, vol. 316(1), pages 329-340.
    10. Gusev, Vasily V., 2021. "Nash-stable coalition partition and potential functions in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1180-1188.
    11. Shejun Deng & Yingying Yuan & Yong Wang & Haizhong Wang & Charles Koll, 2020. "Collaborative multicenter logistics delivery network optimization with resource sharing," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-31, November.
    12. Basso, Franco & Basso, Leonardo J. & Rönnqvist, Mikael & Weintraub, Andres, 2021. "Coalition formation in collaborative production and transportation with competing firms," European Journal of Operational Research, Elsevier, vol. 289(2), pages 569-581.
    13. Liu, Jia-Cai & Sheu, Jiuh-Biing & Li, Deng-Feng & Dai, Yong-Wu, 2021. "Collaborative profit allocation schemes for logistics enterprise coalitions with incomplete information," Omega, Elsevier, vol. 101(C).
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    16. Margaretha Gansterer & Richard F. Hartl, 2020. "Shared resources in collaborative vehicle routing," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 1-20, April.

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