Complete solutions of multiple objective transportation problems with possibilistic coefficients

被引:26
作者
Hussein, ML [1 ]
机构
[1] Tanta Univ, Fac Educ, Dept Math, Kafr El Sheikh, Egypt
关键词
multiple objective transportation problems; possibilistic variables; alpha-possibly efficient; parametric analysis;
D O I
10.1016/S0165-0114(96)00216-3
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper deals with the complete solutions of multiple objective transportation problems with possibilistic coefficients. We consider the problem by incorporating possibilistic data into the coefficients of objective functions. A solution concept that is attractive from the standpoint of efficiency is specified. A necessary and sufficient condition for such a solution is established. A relationship between solutions of possibilistic levels is constructed. The parametric analysis is used to decompose the parametric space of the equivalent problem. A numerical example is given to illustrate the aspects of the developed results. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:293 / 299
页数:7
相关论文
共 5 条
[1]  
BAZARAA MS, 1990, LINEAR PROGRAMMING N, P294
[2]  
CHANKONG V, 1993, SERIES SYSTEM SCI EN
[3]   MULTIPLE OBJECTIVE PROGRAMMING-PROBLEMS WITH POSSIBILISTIC COEFFICIENTS [J].
LUHANDJULA, MK .
FUZZY SETS AND SYSTEMS, 1987, 21 (02) :135-145
[4]   ON POSSIBILISTIC LINEAR-PROGRAMMING [J].
LUHANDJULA, MK .
FUZZY SETS AND SYSTEMS, 1986, 18 (01) :15-30
[5]  
STEUER RE, 1986, MULTIPLE CRITERIA OP, P120