Geodesic
Cost optimization for the transport network of Yakutia
Contributions to game theory and management, Tome 10 (2017), pp. 7-16

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The paper studies game-theoretic approach to the problem of reducing costs of agricultural products transportation on the transport network roads of the Sakha (Yakutia) Republic. Also were proposed a mathematical formulation of problem of players cooperation as the problem of reducing costs for the transport network in the form of cooperative game with characteristic function, as well as a cooperative game with a coalition structure. The solution of such cooperative games, i.e. the optimal cost distribution between players was found in the form of Shapley value.
Keywords: cooperative game, characteristic function, Shapley value. 
@article{CGTM_2017_10_a1,
     author = {Galina I. Bybyakina and Taisia M. Plekhanova and Ekaterina V. Gromova},
     title = {Cost optimization for the transport network of {Yakutia}},
     journal = {Contributions to game theory and management},
     pages = {7--16},
     publisher = {mathdoc},
     volume = {10},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2017_10_a1/}
}
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Galina I. Bybyakina; Taisia M. Plekhanova; Ekaterina V. Gromova. Cost optimization for the transport network of Yakutia. Contributions to game theory and management, Tome 10 (2017), pp. 7-16. http://geodesic.mathdoc.fr/item/CGTM_2017_10_a1/