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Implementing Lagrangean Decomposition Technique to Acquire an Adequate Lower Boundon the Facility Location Problem Solution
Department of Mathematics, College of Basic Education Public Authority for Applied Education and Training, Kuwait City, Kuwait
Department of Mathematics, College of Basic Education Public Authority for Applied Education and Training, Kuwait City, Kuwait
- 1 Department of Mathematics, College of Basic Education Public Authority for Applied Education and Training, Kuwait City, Kuwait
- 2 Department of Mathematics, College of Basic Education Public Authority for Applied Education and Training, Kuwait City, Kuwait
Applied Mathematics·Volume 04 (2013)·Pages 1168–1172·Published 23 July 2013·DOI10.4236/am.2013.48156
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Abstract
In this work, the Lagrangean Relaxation method has been discussed to solve different sizes of capacitated facility location problem (CFLP). A good lower bound has been achieved on the solution of the CFLP considered in this paper. This lower bound has been improved by using the Volume algorithm. The methods of setting two important parameters in heuristic have been given. The approaches used to gain the lower bound have been explained. The results of this work have been compared with the known results given by Beasley.
KeywordsCapacitated Facility Location ProblemLagrangean Relaxation TechniqueVolume AlgorithmRandomised Rounding TechniqueUnit Cost Technique
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