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

Hamiden Abd El-Wahed Khalifa ()

Operations Research and Decisions, 2020, vol. 30, issue 1, 85-96

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.

Keywords: transportation problem; heptagonal fuzzy numbers; ranking method; goal programming; parametric study (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:1:y:2020:p:85-96:id:1472

DOI: 10.37190/ord200105

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