Original scientific paper
On a Cost Allocation Problem Arising from a Star-Star Capacitated Concentrator Location Problem
Darko Skorin-Kapov
; Harriman School for Management and Pol icy, State University of New York at Stony Brook, Stony Brook, U.S.A.
Hector Fernando Beltran
; Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, U.S.A.
Abstract
We analyze a cost allocation problem associated with the Star-Star Capacitated Concentrator Location (SSCCL) problem. The problem is formulated as a cost cooperative game in characteristic function form to be referred to as the SSCCL game. The characterization and computation of game theoretic solution concepts associated with this game are investigated. We show that, in general, the core of this cooperative game may be empty. However, we provide a polynomial representation of the core of the SSCCL game. In case of nonemptiness of the core we provide an efficient method to find the nucleolus. For the case when the core is empty, we propose the least weighted e-core as a concept for fair cost allocation for the SSCCL problem and give its polynomial characterization. Moreover, certain 'central' point of the least weighted e-core is also efficiently characterized.
Keywords
Capacitated Concentrator Location; Cost Allocation; Game Theory
Hrčak ID:
150475
URI
Publication date:
30.3.1994.
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