广州大学学报:自然科学版
廣州大學學報:自然科學版
엄주대학학보:자연과학판
Journal og Guangzhou University:Natural Science Edition
2012年
5期
20-26
,共7页
转运%双目标%模糊线性规划%α-截集%极小算子
轉運%雙目標%模糊線性規劃%α-截集%極小算子
전운%쌍목표%모호선성규화%α-절집%겁소산자
transshipment%bi-objective%fuzzy linear programming%α-cuts%minimal operator
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.
文章旨在建立帶3種轉運類型的平衡雙目標模糊運輸模型併求解.攷慮的供給量、需求量、單位運費和運輸時間均為梯形模糊數,藉助模糊緩遲儲備、α-截集、線性隸屬函數以及極小算子等知識給齣瞭方法的詳細步驟,得齣瞭問題的最優摺衷解.該模型可用來求解實際生活中的運輸問題.最後的數值算例說明瞭該方法的有效性.
문장지재건립대3충전운류형적평형쌍목표모호운수모형병구해.고필적공급량、수구량、단위운비화운수시간균위제형모호수,차조모호완충저비、α-절집、선성대속함수이급겁소산자등지식급출료방법적상세보취,득출료문제적최우절충해.해모형가용래구해실제생활중적운수문제.최후적수치산례설명료해방법적유효성.
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.