Strong coalitional equilibrium in a transportation game

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Strong coalitional equilibrium in a transportation game. / Zenkevich, N. A.; Zyatchin, A. V.

In: Automation and Remote Control, Vol. 78, No. 10, 10.2017, p. 1909-1919.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{9ca8dea80dde44a2aca9b211e7ddd3f4,

title = "Strong coalitional equilibrium in a transportation game",

abstract = "This paper introduces an extension of the vehicle routing problem by involving several decision makers in competition. Each customer is characterized by demand and distance to the warehouse. The problem is described in form of a cooperative transportation game (CTG). We consider customers as players in the game. Their strategies are the routes for a vehicle they should rent in a coalition to deliver goods subject to their demand with minimal transportation costs, under the assumption that transportation costs are allocated between the players according to the Nash arbitration scheme. For each profile in coalitional strategies, we define a coalitional structure of players and the costs of each player. A strong equilibrium is found for the cooperative transportation game. In addition, we develop a procedure to calculate the strong equilibrium. This procedure is illustrated by a numerical example.",

keywords = "transportation game, coalitional structure, WOS, SCOPUS, WOS, SCOPUS",

author = "Zenkevich, {N. A.} and Zyatchin, {A. V.}",

note = "Zenkevich, N. A. Strong coalitional equilibrium in a transportation game / N. A. Zenkevich, A. V. Zyatchin // Automation and Remote Control. - 2017 . – Volume 78, Issue 10. – P. 1909-1919.",

year = "2017",

month = oct,

doi = "10.1134/S0005117917100137",

language = "English",

volume = "78",

pages = "1909--1919",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "10",

}

RIS

TY - JOUR

T1 - Strong coalitional equilibrium in a transportation game

AU - Zenkevich, N. A.

AU - Zyatchin, A. V.

N1 - Zenkevich, N. A. Strong coalitional equilibrium in a transportation game / N. A. Zenkevich, A. V. Zyatchin // Automation and Remote Control. - 2017 . – Volume 78, Issue 10. – P. 1909-1919.

PY - 2017/10

Y1 - 2017/10

N2 - This paper introduces an extension of the vehicle routing problem by involving several decision makers in competition. Each customer is characterized by demand and distance to the warehouse. The problem is described in form of a cooperative transportation game (CTG). We consider customers as players in the game. Their strategies are the routes for a vehicle they should rent in a coalition to deliver goods subject to their demand with minimal transportation costs, under the assumption that transportation costs are allocated between the players according to the Nash arbitration scheme. For each profile in coalitional strategies, we define a coalitional structure of players and the costs of each player. A strong equilibrium is found for the cooperative transportation game. In addition, we develop a procedure to calculate the strong equilibrium. This procedure is illustrated by a numerical example.

AB - This paper introduces an extension of the vehicle routing problem by involving several decision makers in competition. Each customer is characterized by demand and distance to the warehouse. The problem is described in form of a cooperative transportation game (CTG). We consider customers as players in the game. Their strategies are the routes for a vehicle they should rent in a coalition to deliver goods subject to their demand with minimal transportation costs, under the assumption that transportation costs are allocated between the players according to the Nash arbitration scheme. For each profile in coalitional strategies, we define a coalitional structure of players and the costs of each player. A strong equilibrium is found for the cooperative transportation game. In addition, we develop a procedure to calculate the strong equilibrium. This procedure is illustrated by a numerical example.

KW - transportation game

KW - coalitional structure

KW - WOS

KW - SCOPUS

KW - WOS

KW - SCOPUS

U2 - 10.1134/S0005117917100137

DO - 10.1134/S0005117917100137

M3 - Article

VL - 78

SP - 1909

EP - 1919

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 10

ER -

ID: 9373040