FINDING A SOLUTION FOR MULTI-OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM BASED ON GOAL PROGRAMMING AND DATA ENVELOPMENT ANALYSIS

作     者：Jahanshahloo, G. R. Talebian, B. Lotfi, F. Hosseinzadeh Sadeghi, J. 

作者机构：Kharazmi Univ Fac Math & Comp Sci Tehran Iran Islamic Azad Univ Dept Math Sci & Res Branch Tehran Iran 

出 版 物：《RAIRO-OPERATIONS RESEARCH》 (法国自动化、信息与运筹学；运筹学)

年 卷 期：2017年第51卷第1期

页      面：199-210页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：Multi-Objective linear fractional programming goal programming data envelopment analysis fair satisfaction 

摘      要：The multi-objective linear fractional programming is an interesting topic with many applications in different fields. Until now, various algorithms have been proposed in order to solve the multi-objective linear fractional programming (MOLFP) problem. An important point in most of them is the use of non-linear programming with a high computational complexity or the use of linear programming with preferences of the objective functions which are assigned by the decision maker. The current paper, through combining goal programming and data envelopment analysis (DEA), proposes an iterative method to solve MOLFP problems using only linear programming. Moreover, the proposed method provides an efficient solution which fairly optimizes each objective function when the decision maker has no information about the preferences of the objective functions. In fact, along with normalization of the objective functions, their relative preferences are fairly determined using the DEA. The implementation of the proposed method is demonstrated using numerical examples.