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Contributions to Game Theory and Management, 2017, Volume 10, Pages 7–16
(Mi cgtm295)
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Cost optimization for the transport network of Yakutia
Galina I. Bybyakina, Taisia M. Plekhanova, Ekaterina V. Gromova St. Petersburg State University,
7/9 Universitetskaya nab., St.Petersburg, 199034, Russia
Abstract:
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.
Citation:
Galina I. Bybyakina, Taisia M. Plekhanova, Ekaterina V. Gromova, “Cost optimization for the transport network of Yakutia”, Contributions to Game Theory and Management, 10 (2017), 7–16
Linking options:
https://www.mathnet.ru/eng/cgtm295 https://www.mathnet.ru/eng/cgtm/v10/p7
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