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A Hybrid Algorithm To Solve The Fixed Charge Solid Location And Transportation Problem

Author

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  • Gbeminiyi John Oyewole

    (Department of Industrial and Systems Engineering, University of Pretoria, Pretoria 0002, South Africa.)

  • Olufemi Adetunji

    (Department of Industrial and Systems Engineering, University of Pretoria, Pretoria 0002, South Africa.)

Abstract

In this paper, we propose a Hybrid Algorithm (HA) to solve the Fixed Charge Solid Location and Transportation problem (FCSLTP). The FCSLTP considers the cost of facility location and route fixed costs during transportation planning or load consolidation. The HA integrates two heuristics into the Genetic Algorithm framework to solve the FCSLTP. Genetic operations are used to select the best combination of facility locations while a greedy heuristic which uses some cost relaxations are used for the initial load allocation. An improvement heuristic, a modified stepping stone method, is then used to consolidate load allocations to realize further possible cost savings. Parameters used for the genetic operations were decided through preliminary studies. Computational studies using randomly generated data were performed to compare the HA solutions with the solutions obtained using CPLEX, a commercial solver. Performance comparison was done based on the quality of solution and computing time. The results suggest the solution approach is competitive.

Suggested Citation

  • Gbeminiyi John Oyewole & Olufemi Adetunji, 2021. "A Hybrid Algorithm To Solve The Fixed Charge Solid Location And Transportation Problem," Engineering Heritage Journal (GWK), Zibeline International Publishing, vol. 5(1), pages 1-11, March.
    • Handle: RePEc:zib:zbngwk:v:5:y:2021:i:1:p:1-11
    DOI: 10.26480/gwk.01.2021.01.11
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    References listed on IDEAS

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    1. Herminia I. Calvete & Carmen Galé & José A. Iranzo, 2016. "An improved evolutionary algorithm for the two-stage transportation problem with fixed charge at depots," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 189-206, January.
    2. A. N. Balaji & J. Mukund Nilakantan & Izabela Nielsen & N. Jawahar & S. G. Ponnambalam, 2019. "Solving fixed charge transportation problem with truck load constraint using metaheuristics," Annals of Operations Research, Springer, vol. 273(1), pages 207-236, February.
    3. Jawahar, N. & Balaji, A.N., 2009. "A genetic algorithm for the two-stage supply chain distribution problem associated with a fixed charge," European Journal of Operational Research, Elsevier, vol. 194(2), pages 496-537, April.
    4. CERIA, Sebastian & CORDIER, Cécile & MARCHAND, Hugues & WOLSEY, Laurence A., 1998. "Cutting planes for integer programs with general integer variables," LIDAM Reprints CORE 1334, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Guastaroba, G. & Speranza, M.G., 2014. "A heuristic for BILP problems: The Single Source Capacitated Facility Location Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 438-450.
    6. Fischetti, Matteo & Ljubić, Ivana & Sinnl, Markus, 2016. "Benders decomposition without separability: A computational study for capacitated facility location problems," European Journal of Operational Research, Elsevier, vol. 253(3), pages 557-569.
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