带转运的双目标模糊运输问题的模型及其算法  

Bi-objective fuzzy transportation problem with transshipment and its algorithm

作　　者：吴钟丽[1] 许若宁[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2012年第5期20-26,共7页Journal of Guangzhou University:Natural Science Edition

摘　　要：文章旨在建立带3种转运类型的平衡双目标模糊运输模型并求解.考虑的供给量、需求量、单位运费和运输时间均为梯形模糊数,借助模糊缓冲储备、α-截集、线性隶属函数以及极小算子等知识给出了方法的详细步骤,得出了问题的最优折衷解.该模型可用来求解实际生活中的运输问题.最后的数值算例说明了该方法的有效性.The aim of this paper is to build and solve a bi-objective fuzzy transportation model with three types of transshipment in equilibrium condition. In this paper, availability at the sources, demand at the destinations, transportation cost for unit quantity of the commodity and transportation time are presented by trapezoidal fuzzy numbers. Fuzzy buffer stock, α-cuts, linear membership function and minimal operator have been used to derive the optimal compromise solution, and the specific steps of the algorithm are also given. The model proposed in this paper has practical significance, and the algorithm is easy to apply to transportation problem in real life be- cause it is drawn from classical transportation algorithms. A numerical example is presented to demonstrate the validity of the proposed algorithm.

关 键 词：转运 双目标 模糊线性规划 α-截集 极小算子 

分 类 号：O159[理学—数学]