EXISTENCE OF EFFICIENT SOLUTIONS FOR VECTOR MAXIMIZATION PROBLEMS

被引:102
作者
BENSON, HP [1 ]
机构
[1] UNIV ILLINOIS,COLL COMMERCE & BUSINESS ADM,URBANA,IL 61801
关键词
D O I
10.1007/BF00933152
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
引用
收藏
页码:569 / 580
页数:12
相关论文
共 9 条
[1]  
Arrow K., 1953, CONTRIBUTIONS THEORY
[2]   VECTOR MAXIMIZATION PROBLEM - PROPER EFFICIENCY AND STABILITY [J].
BENSON, HP ;
MORIN, TL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) :64-72
[3]   FINDING EFFICIENT POINTS FOR LINEAR MULTIPLE OBJECTIVE PROGRAMS [J].
ECKER, JG ;
KOUADA, IA .
MATHEMATICAL PROGRAMMING, 1975, 8 (03) :375-377
[4]  
Evans J. P., 1973, Mathematical Programming, V5, P54, DOI 10.1007/BF01580111
[5]   DUALITY IN NONLINEAR PROGRAMMING - SIMPLIFIED APPLICATIONS-ORIENTED DEVELOPMENT [J].
GEOFFRION, AM .
SIAM REVIEW, 1971, 13 (01) :1-+
[6]   PROPER EFFICIENCY AND THEORY OF VECTOR MAXIMIZATION [J].
GEOFFRION, AM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) :618-+
[7]   PROPER EFFICIENCY AND LINEAR VECTOR MAXIMUM PROBLEM [J].
ISERMANN, H .
OPERATIONS RESEARCH, 1974, 22 (01) :189-191
[8]   EFFICIENCY IN MULTIPLE OBJECTIVE OPTIMIZATION PROBLEMS [J].
WENDELL, RE ;
LEE, DN .
MATHEMATICAL PROGRAMMING, 1977, 12 (03) :406-414
[9]   Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives [J].
Yu, P. L. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1974, 14 (03) :319-377