OPTIMIZATION OVER THE EFFICIENT SET

被引:53
作者
DAUER, JP
FOSNAUGH, TA
机构
[1] UNIV TENNESSEE,DEPT MATH,CHATTANOOGA,TN 37403
[2] EMPORIA STATE UNIV,EMPORIA,KS 66801
关键词
OPTIMIZATION; EFFICIENCY SET; LINEAR MULTIPLE OBJECTIVE PROGRAMMING; PENALTY FUNCTION;
D O I
10.1007/BF01279451
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
This paper deals with the problem of maximizing a function over the efficient set of a linear multiple objective program. The approach is to formulate a biobjective program with an appropriate efficient set. The penalty function approach is motivated by an auxiliary problem due to Benson.
引用
收藏
页码:261 / 277
页数:17
相关论文
共 28 条
[1]  
Arrow K.J., 1953, CONTRIB THEORY GAMES, V2, P87
[2]  
BENSON HP, 1993, NAV RES LOG, V40, P103, DOI 10.1002/1520-6750(199302)40:1<103::AID-NAV3220400107>3.0.CO
[3]  
2-A
[4]   OPTIMIZATION OVER THE EFFICIENT SET - 4 SPECIAL CASES [J].
BENSON, HP ;
SAYIN, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (01) :3-18
[5]   OPTIMIZATION OVER THE EFFICIENT SET [J].
BENSON, HP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 98 (02) :562-580
[6]   A FINITE, NONADJACENT EXTREME-POINT SEARCH ALGORITHM FOR OPTIMIZATION OVER THE EFFICIENT SET [J].
BENSON, HP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 73 (01) :47-64
[7]  
Benson HP, 1990, J GLOBAL OPTIM, V1, P83, DOI 10.1007/BF00120667
[8]  
BENSON HP, 1981, 35 U FLOR CTR EC DEC
[9]  
BENSON HP, HDB GLOBAL OPTIMIZAT, P43
[10]   NECESSARY CONDITIONS FOR NONLINEAR SUBOPTIMIZATION OVER THE WEAKLY-EFFICIENT SET [J].
BOLINTINEANU, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 78 (03) :579-598