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A Simulated Annealing Algorithm for a two-stage fixed charge distribution problem of a Supply Chain

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  • A.N. Balaji
  • N. Jawahar

Abstract

This article considers a two-stage distribution problem of a Supply Chain that is associated with a fixed charge. Two kinds of cost are involved in this problem: a continuous cost that linearly increases with the amount transported between a source and a destination, and secondly, a fixed charge, that incurs whenever there exists a transportation of a non-zero quantity between a source and a destination. The objective criterion is the minimisation of the total cost of distribution. A Simulated Annealing Algorithm (SAA) that belongs to heuristic search method is proposed and illustrated. The proposed methodology is evaluated for its solution quality by comparing it with the approximate and lower bound solutions. Thus, the comparison reveals that the SAA generates better solution than the approximation method and is capable of providing solution either equal or closer to the lower bound solution of the problem.

Suggested Citation

  • A.N. Balaji & N. Jawahar, 2010. "A Simulated Annealing Algorithm for a two-stage fixed charge distribution problem of a Supply Chain," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 7(2), pages 192-215.
    • Handle: RePEc:ids:ijores:v:7:y:2010:i:2:p:192-215
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    Cited by:

    1. 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.
    2. Boldizsár Tüű-Szabó & Péter Földesi & László T. Kóczy, 2024. "An Efficient Tour Construction Heuristic for Generating the Candidate Set of the Traveling Salesman Problem with Large Sizes," Mathematics, MDPI, vol. 12(19), pages 1-21, September.

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