经典交通方法解决模糊交通问题的应用

交通运输系统工程与信息 ›› 2011, Vol. 11 ›› Issue (5): 68-.

经典交通方法解决模糊交通问题的应用

KUMAR Amit ^*, KAUR Amarpreet

印度塔帕大学数学与计算机应用学院，伯蒂亚拉 147 004，印度

收稿日期:2010-05-25 修回日期:2010-07-05 出版日期:2011-10-24 发布日期:2011-11-03
作者简介:KUMAR Amit(1979－），助理教授.

Application of Classical Transportation Methods for Solving Fuzzy Transportation Problems

KUMAR Amit , KAUR Amarpreet

School of Mathematics and Computer Applications, Thapar University, Patiala147 004, India

Received:2010-05-25 Revised:2010-07-05 Online:2011-10-24 Published:2011-11-03

摘要/Abstract

摘要： 既有文献中关于求解模糊交通问题（所有参数均为模糊数据）的模糊最优解的方法有多种。本文在分析现有方法缺点的基础上，提出了两种方法用于求解具有梯形模糊数的模糊交通问题，其基于模糊线性规划和经典交通方法。同时论证了这两种方法不同于现有方法的优势。通过算例阐述本文方法求解模糊交通问题的过程并分析了求解结果。所提出的方法易于理解且在求解模糊交通问题最优解问题上具有良好的应用前景。

关键词: 模糊交通问题, 排序函数, 梯形模糊数

Abstract: There are several methods, in the literature, for finding a fuzzy optimal solution to fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this study, the shortcomings of some existing methods are pointed out, and to overcome these shortcomings, two new methods (based on fuzzy linear programming formulation and classical transportation methods) are proposed to find a fuzzy optimal solution to fuzzy transportation problems with a new representation of trapezoidal fuzzy numbers. The advantages of the proposed methods over existing methods are discussed. Also, it is shown that it is better to use the proposed representation of trapezoidal fuzzy numbers instead of the existing representation of trapezoidal fuzzy numbers for finding a fuzzy optimal solution to fuzzy transportation problems. To illustrate the proposed methods, a fuzzy transportation problem (FTP) is solved using the proposed methods and the obtained results are discussed. The proposed methods are easy to understand and to apply for finding a fuzzy optimal solution to fuzzy transportation problems occurring in real-life situations.

Key words: fuzzy transportation problem, ranking function, trapezoidal fuzzy number

中图分类号:

KUMAR Amit, KAUR Amarpreet. 经典交通方法解决模糊交通问题的应用[J]. 交通运输系统工程与信息, 2011, 11(5): 68-.

KUMAR Amit, KAUR Amarpreet. Application of Classical Transportation Methods for Solving Fuzzy Transportation Problems[J]. Journal of Transportation Systems Engineering and Information Technology, 2011, 11(5): 68-.

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链接本文: http://www.tseit.org.cn/CN/abstract/abstract18261.shtml

http://www.tseit.org.cn/CN/Y2011/V11/I5/68

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