FUNDAMENTAL THEOREMS OF NONDOMINATED SOLUTIONS ASSOCIATED WITH CONES IN NORMED LINEAR-SPACES

被引:26
作者
CHARNES, A
COOPER, WW
WEI, QL
HUANG, ZM
机构
[1] Center for Cybernetic Studies, College of Business Administration, The University of Texas at Austin, Austin
基金
美国国家科学基金会;
关键词
D O I
10.1016/0022-247X(90)90195-L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Essential properties of multiobjective programming in real normed linear spaces are studied. Necessary and sufficient conditions for nondominated solutions under regularity and Fréchet differentiability assumptions are developed. © 1990.
引用
收藏
页码:54 / 78
页数:25
相关论文
共 16 条
[1]  
Avriel M, 2003, NONLINEAR PROGRAMMIN
[2]  
BENTAL A, 1977, INT S EXTREMAL METHO
[3]   CONE RATIO DATA ENVELOPMENT ANALYSIS AND MULTI-OBJECTIVE PROGRAMMING [J].
CHARNES, A ;
COOPER, WW ;
WEI, QL ;
HUANG, ZM .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1989, 20 (07) :1099-1118
[4]  
CHARNES A, 1968, B AM MATH SOC, V764
[5]  
CHARNES A, 1977, EUROPEAN J OPER RES, V1
[6]  
CHARNES A, 1985, J ECONOMETRICS, V30
[7]  
CHARNES A, 1987, CCS551 U TEX AUST CT
[8]  
HALKIN H, 1970, J OPTIM THEORY APPL, V6
[9]  
HUANG ZM, 1985, J SYSTEMS SCI MATH, V5, P3
[10]  
KU CF, 1980, APPL MATH COMPUT MAT, V1