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Solving Capacitated Facility Location Problem Using Lagrangian Decomposition and Volume Algorithm

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  • Eiman J. Alenezy

Abstract

In this research, we will focus on one variant of the problem: the capacitated facility location problem (CFLP). In many formulations of the CFLP, it is assumed that each demand point can be supplied by only one open facility, which is the simplest case of the problem. We consider the case where each demand point can be supplied by more than one open facility. We first investigate a Lagrangian relaxation approach. Then, we illustrate in the problem decomposition how to introduce tighter constraints, which solve the CFLP faster while achieving a better quality solution as well. At the same time, we apply the volume algorithm to improve both the lower and the upper bound on the optimum solution of the original problem for the large problem size.

Suggested Citation

  • Eiman J. Alenezy, 2020. "Solving Capacitated Facility Location Problem Using Lagrangian Decomposition and Volume Algorithm," Advances in Operations Research, Hindawi, vol. 2020, pages 1-7, February.
  • Handle: RePEc:hin:jnlaor:5239176
    DOI: 10.1155/2020/5239176
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    Cited by:

    1. Vukašin Pajić & Milan Andrejić & Marijana Jolović & Milorad Kilibarda, 2024. "Strategic Warehouse Location Selection in Business Logistics: A Novel Approach Using IMF SWARA–MARCOS—A Case Study of a Serbian Logistics Service Provider," Mathematics, MDPI, vol. 12(5), pages 1-22, March.

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