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A linear programming priority method for a fuzzy transportation problem with non-linear constraints

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  • Hossein Abdollahnejad Barough

    (Payame Noor University)

Abstract

Demand and supply pattern for most products varies during their life cycle in the markets. In this paper, the author presents a transportation problem with non-linear constraints in which supply and demand are symmetric trapezoidal fuzzy value. In order to reflect a more realistic pattern, the unit of transportation cost is assumed to be stochastic. Then, the non-linear constraints are linearized by adding auxiliary constraints. Finally, the optimal solution of the problem is found by solving the linear programming problem with fuzzy and crisp constraints and by applying fuzzy programming technique. A new method proposed to solve this problem, and is illustrated through numerical examples. Multi-objective goal programming methodology is applied to solve this problem. The results of this research were developed and used as one of the Decision Support System models in the Logistics Department of Kayson Co.

Suggested Citation

  • Hossein Abdollahnejad Barough, 2011. "A linear programming priority method for a fuzzy transportation problem with non-linear constraints," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 193-208, June.
    • Handle: RePEc:spr:fuzinf:v:3:y:2011:i:2:d:10.1007_s12543-011-0077-6
    DOI: 10.1007/s12543-011-0077-6
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    References listed on IDEAS

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    1. K. Ganesan & P. Veeramani, 2006. "Fuzzy linear programs with trapezoidal fuzzy numbers," Annals of Operations Research, Springer, vol. 143(1), pages 305-315, March.
    2. Chang, Ching-Ter, 2007. "Binary fuzzy goal programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 29-37, July.
    3. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
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