Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI:10.18311/jims/2020/25450

P. M. Paratane, A. Bit

引用次数: 1

Abstract

This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.

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多目标运输问题敏感性分析的容差方法

本文对多目标运输问题的供需值的敏感性分析采用了一般的敏感性分析和容差方法。我们提出的方法允许供应和需求值同时和独立的变化。本文的目的是找到每个供给和需求值的范围，在这个范围内，变化可以在不影响最佳折衷解决方案的当前基础的情况下发生。利用模糊规划技术得到的最佳折衷解，对多目标运输问题进行了后最优性分析。通过数值算例说明了该方法的可行性。

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

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.