Scatter search for the single source capacitated facility location problem

This paper considers the Single Source Capacitated Facility Location Problem (SSCFLP). We propose a Scatter Search approach to provide upper bounds for the optimal solution of the problem. The proposed approach uses GRASP to initialize the Reference Set. Solutions of the Reference Set are combined u...

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Bibliographic Details
Published in:Annals of operations research 2008-01, Vol.157 (1), p.73-89
Main Authors: Contreras, Iván A., Díaz, Juan A.
Format: Article
Language:English
Subjects:
Algorithms
Business and Management
Combinatorics
Heuristic
Linear programming
Location analysis
Mathematical models
Methods
Operations research
Operations Research/Decision Theory
Optimization
Performance evaluation
Problem solving
Studies
Theory of Computation
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Summary:This paper considers the Single Source Capacitated Facility Location Problem (SSCFLP). We propose a Scatter Search approach to provide upper bounds for the optimal solution of the problem. The proposed approach uses GRASP to initialize the Reference Set. Solutions of the Reference Set are combined using a procedure that consists of two phases: (1) the initialization phase and (2) the improvement phase. During the initialization phase each client is assigned to an open facility to obtain a solution that is then improved with the improvement phase. Also, a tabu search algorithm is applied. In order to evaluate the proposed approach we use different sets of test problems. According to the results obtained we observe that the method provides good quality solutions with reasonable computational effort.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-007-0193-1