The selective vehicle routing problem in a collaborative environment

Christof Defryn*, Kenneth Sörensen, Trijntje Cornelissens

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

47 Citations (Web of Science)


We consider a selective vehicle routing problem, in which customers belonging to different partners in a logistic coalition are served in a single logistic operation with multiple vehicles. Each partner determines a cost of non-delivery (cnd) for each of its customers, and a central algorithm creates an operational plan, including the decision on which customers to serve and in which trip. The total transportation cost of the coalition is then divided back to the partners through a cost allocation mechanism.this paper investigates the effect on the cost allocation of a partner’s strategy on non-delivery penalties (high/low) and the properties of its customer locations (distance to the depot, degree of clustering). The effect of the cost allocation method used by the coalition is also investigated. We compare the well-known shapley value cost allocation method to our novel problem-specific method: the cnd-weighted cost allocation method.we prove that an adequate cost allocation method can provide an incentive for each partner to behave in a way that benefits the coalition. Further, we develop a transformation that is able to transform any cost allocation into an individually rational one without losing this incentive.
Original languageEnglish
Pages (from-to)400-411
JournalEuropean Journal of Operational Research
Issue number2
Publication statusPublished - 16 Apr 2016
Externally publishedYes


  • Horizontal collaboration
  • Selective vehicle routing problem
  • Collaborative vehicle routing
  • Cost allocation

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