Multiobjective Optimization Methods Help to Minimize a Function over the Efficient Set

被引：0

作者：

Metev, Boyan ^{[1
]}

机构：

[1] Inst Informat Technol, BU-1113 Sofia, Bulgaria

来源：

CYBERNETICS AND INFORMATION TECHNOLOGIES | 2007年 / 7卷 / 02期

关键词：

Multiple objective optimization; efficient set; epsilon-constraint method;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem for obtaining an upper bound for the minimal value of a linear function on the efficient set of a MOLP problem is considered. A multiobjective optimization method is used to get Pareto (or efficient) points. An illustrative example is presented.

引用

页码：22 / 28

页数：7

共 22 条

[11] USE OF REFERENCE POINTS FOR SOLVING MONLP PROBLEMS
METEV, B
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 80 (01) : 193 - 203
[12] Metev B, 2006, CYBERN INF TECHNOL, V6, P45
[13] Miettinen K., 1994, METHODOLOGY MULTIOBJ
[14] Steuer R.E., 1986, MULTIPLE CRITERIA OP
[15] A class of optimization problems over the efficient set of a multiple criteria nonlinear programming problem
Thoai, NV
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 122 (01) : 58 - 68
[16] A REFERENCE DIRECTION ALGORITHM FOR SOLVING MULTIPLE-OBJECTIVE INTEGER LINEAR-PROGRAMMING PROBLEMS
VASSILEV, V
NARULA, SC
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1993, 44 (12) : 1201 - 1209
[17] Vincke P., 1992, MULTICRITERIA DECISI
[18] The maximization of a function over the efficient set via a penalty function approach
White, DJ
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 94 (01) : 143 - 153
[19] Wierzbicki A.P., 1980, MULTIPLE CRITERIA DE, P468, DOI DOI 10.1007/978-3-642-48782-8_32
[20] ON THE COMPLETENESS AND CONSTRUCTIVENESS OF PARAMETRIC CHARACTERIZATIONS TO VECTOR OPTIMIZATION PROBLEMS
WIERZBICKI, AP
[J]. OR SPEKTRUM, 1986, 8 (02) : 73 - 87

← 1 2 3 →