Cost Optimization for the Transport Network of Yakutia

Collected papers presented on the Tenth International Conference Game Theory and Management /Editors Leon A. Petrosyan, Nikolay A. Zenkevich. – SPb.: Saint Petersburg State University, 2017. The paper studies game-theoretic approach to the problem of reducing costs of agricultural products ransporta...

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Bibliographic Details
Main Authors: Bubyakina, Galina I., Plekhanova, Taisia M., Gromova, Ekaterina V.
Format: Other/Unknown Material
Language:English
Published: Saint Petersburg State University 2017
Subjects:
Online Access:http://hdl.handle.net/11701/10428
Description
Summary:Collected papers presented on the Tenth International Conference Game Theory and Management /Editors Leon A. Petrosyan, Nikolay A. Zenkevich. – SPb.: Saint Petersburg State University, 2017. The paper studies game-theoretic approach to the problem of reducing costs of agricultural products ransportation 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.