Regularization of the Vector Problem with Quadratic Criteria of Pareto Optimization

被引：0

作者：

Lebedeva, T. T. ^{[1
]}

Semenova, N. V. ^{[1
]}

Sergienko, T. I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, V M Glushkov Inst Cybernet, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2023年 / 59卷 / 04期

关键词：

vector problem; vector criterion; Pareto optimality; Slater's set; stability of the problem; perturbation of input data; quadratic criterion functions; regularization; STABILITY;

D O I：

10.1007/s10559-023-00591-1

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The article is devoted to the new results related to the regularization of vector (multicriteria) optimization problems on a feasible set of arbitrary structure under possible perturbations of input data of the vector criterion. An approach to the regularization of problems of finding the Pareto set with quadratic criterion functions is developed and substantiated.

引用

页码：561 / 566

页数：6

共 25 条

[1]

[Anonymous], 1909, MANUEL D'ECONOMIE POLITIQUE

[2]

Bank B., 1982, Non-linear Parametric Optimization

[3]

Belousov E., 1993, SOLVABILITY STABILIT

[4]

Ehrgott M., 2005, MULTICRITERIA OPTIMI, V2nd

[5]

Emelichev V. A., 2014, Journal of Automation and Information Sciences, V46, P27

[6] Stability and regularization of vector problems of integer linear programming [J].

Emelichev, VA ;

Girlich, E ;

Nikulin, YV ;

Podkopaev, DP .

OPTIMIZATION, 2002, 51 (04) :645-676

[7] ON THE REGULARIZATION OF VECTOR INTEGER QUADRATIC PROGRAMMING PROBLEMS [J].

Emeliehev, V. A. ;

Gurevskii, E. E. .

CYBERNETICS AND SYSTEMS ANALYSIS, 2009, 45 (02) :274-280

[8]

Emelychev V. A., 2001, DISKRET ANAL ISSLED, V8, P47

[9]

Greenberg HJ, 1998, OPERAT RES COMP SCI, P97

[10]

Hadamard J., 1902, Princet. Univ. Bull, V23, P49

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