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Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint

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  • Hamiden Abd El-Wahed Khalifa

Abstract

Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.

Suggested Citation

  • Hamiden Abd El-Wahed Khalifa, 2020. "Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(1), pages 85-96.
    • Handle: RePEc:wut:journl:v:1:y:2020:p:85-96:id:1472
    DOI: 10.37190/ord200105
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Osman, Mohamed S. & El-Banna, Abou-Zaid H., 1993. "Stability of multiobjective nonlinear programming problems with fuzzy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(4), pages 321-326.
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