Fuzzy geometric programming approach to a fuzzy machining economics model

作     者：Liu, ST 

作者机构：Vanung Univ Grad Sch Business & Management Tao Yuan 320 Taiwan 

出 版 物：《INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH》 (国际生产研究杂志)

年 卷 期：2004年第42卷第16期

页      面：3253-3269页

核心收录：

学科分类：12[管理学] 120202[管理学-企业管理（含：财务管理、市场营销、人力资源管理）] 0202[经济学-应用经济学] 02[经济学] 1202[管理学-工商管理] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 0802[工学-机械工程] 

基　　金：National Science Council of Republic of China  (NSC92-2416-H-238-004) 

主　　题：MACHINING PRODUCTION planning MATHEMATICAL economics MANUFACTURING processes GEOMETRIC programming FUZZY numbers FUZZY mathematics 

摘      要：Machining economics is an important function of the process planning activity for manufacturing products with high quality and low cost. The machining economics model usually contains a highly non-linear objective function and equations that could be formulated as a geometric programming problem. The paper develops a solution method for deriving the fuzzy objective value of the fuzzy machining economics problem when some of the parameters in the problem are fuzzy numbers. A pair of geometric programs is formulated to calculate the lower and upper bounds of the unit production cost at possibility level alpha. With the ability to calculate the fuzzy objective value developed, it might help lead to a more realistic modelling effort. The developed methodology can also be applied to other engineering design problems with fuzzy numbers.