VECTOR MAXIMIZATION WITH 2 OBJECTIVE FUNCTIONS

被引:48
作者
BENSON, HP
机构
[1] Societal Analysis Department, General Motors Research Laboratories, Warren, Michigan
关键词
bicriterion mathematical programming; efficient points; multiobjective optimization; Vector maximization;
D O I
10.1007/BF00933245
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 note gives a characterization of an efficient solution for the vector maximization problem with two objective functions. This characterization yields a parametric procedure for generating the set of all efficient solutions for this problem. The parametric procedure can also be used to solve certain bicriterion mathematical programs. © 1979 Plenum Publishing Corporation.
引用
收藏
页码:253 / 257
页数:5
相关论文
共 10 条
[1]   VECTOR MAXIMIZATION PROBLEM - PROPER EFFICIENCY AND STABILITY [J].
BENSON, HP ;
MORIN, TL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) :64-72
[2]  
DUESING E, 1976, DUAL ALGORITHM LINEA
[3]  
ECKER JG, 1976, 7617 U CATH LOUV DIS
[4]   SOLVING BICRITERION MATHEMATICAL PROGRAMS [J].
GEOFFRION, AM .
OPERATIONS RESEARCH, 1967, 15 (01) :39-+
[5]   PROPER EFFICIENCY AND THEORY OF VECTOR MAXIMIZATION [J].
GEOFFRION, AM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) :618-+
[6]   PARAMETRIC SOLUTION OF A CLASS OF NONCONVEX PROGRAMS [J].
HOCKING, RR ;
SHEPARD, RL .
OPERATIONS RESEARCH, 1971, 19 (07) :1742-&
[7]  
Mangasarian O. L., 1969, NONLINEAR PROGRAMMIN
[8]   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
[9]   SET OF ALL NONDOMINATED SOLUTIONS IN LINEAR CASES AND A MULTICRITERIA SIMPLEX METHOD [J].
YU, PL ;
ZELENY, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 49 (02) :430-468
[10]  
Zeleny M, 1974, LINEAR MULTIOBJECTIV, DOI 10.1007/978-3-642-80808-1