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

IF 0.7 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
H. Khalifa
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引用次数: 1

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.
预算约束下七方模糊运输问题的目标规划方法
运输问题(TP)是一种特殊类型的线性规划问题(LPP),其目标是将产品从几个来源(或原产地)分发到某些目的地的成本最小化。本文研究了一个运输问题,其中成本、供给和需求被表示为七面模糊数。在利用排序法将问题转化为相应的crisp TP后,采用目标规划(GP)方法求最优解。GP对决策者的优势在于易于在实际交通中解释和实施。确定了最优解对应的第一类稳定集。最后给出了一个数值例子来说明这种方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Operations Research and Decisions
Operations Research and Decisions OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
1.00
自引率
25.00%
发文量
16
审稿时长
15 weeks
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