模糊交通问题基本可行解的高效计算方法

IF 1.6 Q2 ENGINEERING, MULTIDISCIPLINARY International Journal of System Assurance Engineering and Management Pub Date : 2024-05-06 DOI:10.1007/s13198-024-02340-9
Anshika Agrawal, Neha Singhal
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引用次数: 0

摘要

本文提出了一种解决全模糊运输问题的改进算法。所提出的算法旨在为参数为模糊形式的运输问题找到一个起始的基本可行解。所提出的算法综合了现有的两种方法,可应用于平衡模糊运输问题,其中不确定性由梯形模糊数表示。所提出的算法没有将这些不确定性转化为清晰值,而是直接处理问题的模糊性质。为了说明该算法的有效性,文章列举了几个使用梯形模糊数表征参数不确定性的数值示例。文章对算法结果和现有结果进行了对比分析。将现有结果与获得的结果进行了比较。还讨论了一个案例研究,以增强该算法的意义。
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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An efficient computational approach for basic feasible solution of fuzzy transportation problems

In this paper, an improved algorithm has been proposed for solving fully fuzzy transportation problems. The proposed algorithm deals with finding a starting basic feasible solution to the transportation problem with parameters in fuzzy form. The proposed algorithm is an amalgamation of two existing approaches that can be applied to a balanced fuzzy transportation problem where uncertainties are represented by trapezoidal fuzzy numbers. Instead of transforming these uncertainties into crisp values, the proposed algorithm directly handles the fuzzy nature of the problem. To illustrate its effectiveness, the article presents several numerical examples in which parameter uncertainties are characterized using trapezoidal fuzzy numbers. A comparative analysis is performed between the algorithm’s outcomes and the existing results. The existing results are compared with the obtained results. A case study has also been discussed to enhance the significance of the algorithm.

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来源期刊
CiteScore
4.30
自引率
10.00%
发文量
252
期刊介绍: This Journal is established with a view to cater to increased awareness for high quality research in the seamless integration of heterogeneous technologies to formulate bankable solutions to the emergent complex engineering problems. Assurance engineering could be thought of as relating to the provision of higher confidence in the reliable and secure implementation of a system’s critical characteristic features through the espousal of a holistic approach by using a wide variety of cross disciplinary tools and techniques. Successful realization of sustainable and dependable products, systems and services involves an extensive adoption of Reliability, Quality, Safety and Risk related procedures for achieving high assurancelevels of performance; also pivotal are the management issues related to risk and uncertainty that govern the practical constraints encountered in their deployment. It is our intention to provide a platform for the modeling and analysis of large engineering systems, among the other aforementioned allied goals of systems assurance engineering, leading to the enforcement of performance enhancement measures. Achieving a fine balance between theory and practice is the primary focus. The Journal only publishes high quality papers that have passed the rigorous peer review procedure of an archival scientific Journal. The aim is an increasing number of submissions, wide circulation and a high impact factor.
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