Geodesic
Stable cooperation in dynamic VRP
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 2, pp. 39-56

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In the paper the problem of carriers transportation cost in the cooperative vehicle routing problem (VRP) on large-scale networks is treated. A heuristic method for calculation subadditive characteristic function in the TU-cooperative dynamic VRP game is proposed. The algorithm is updated for the dynamic cooperative VRP game. Shapley value and the subcore concept is used to form an optimal solution. A cost distribution procedure which provides strong time consistency of the subcore and the dynamic stability of cooperation agreement is developed and demonstrated. 
@article{MGTA_2012_4_2_a2,
     author = {Victor V. Zakharov and Alexander N. Shchegryaev},
     title = {Stable cooperation in dynamic {VRP}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {39--56},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_2_a2/}
}
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Victor V. Zakharov; Alexander N. Shchegryaev. Stable cooperation in dynamic VRP. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 2, pp. 39-56. http://geodesic.mathdoc.fr/item/MGTA_2012_4_2_a2/