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A cooperative location game based on the 1-center location problem

 

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Author: Puerto Albandoz, Justo
Tamir, Arie
Perea Rojas-Marcos, Federico
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2011-10-16
Published in: European Journal of Operational Research, 214 (2), 317-330.
Document type: Article
Abstract: In this paper we introduce and analyze new classes of cooperative games related to facility location models defined on general metric spaces. The players are the customers (demand points) in the location problem and the characteristic value of a coalition is the cost of serving its members. Specifically, the cost in our games is the service radius of the coalition. We study the existence of core allocations and the existence of polynomial representations of the cores of these games, focusing on network spaces, i.e., finite metric spaces induced by undirected graphs and positive edge lengths, and on the ℓp metric spaces defined over Rd.
Cite: Puerto Albandoz, J., Tamir, A. y Perea Rojas-Marcos, F. (2011). A cooperative location game based on the 1-center location problem. European Journal of Operational Research, 214 (2), 317-330.
Size: 386.0Kb
Format: PDF

URI: http://hdl.handle.net/11441/42755

DOI: 10.1016/j.ejor.2011.04.020

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