Smoothing methods for mathematical programs with equilibrium constraints

被引：26

作者：

Fukushima, M ^{[1
]}

Lin, GH ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan

来源：

INTERNATIONAL CONFERENCE ON INFORMATICS RESEARCH FOR DEVELOPMENT OF KNOWLEDGE SOCIETY INFRASTRUCTURE, PROCEEDINGS | 2004年

关键词：

D O I：

10.1109/ICKS.2004.1313426

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the recent optimization world, mathematical programs with equilibrium constraints (MPECs) have been receiving much attention and there have been proposed a number of methods for solving MPECs. In this paper, we provide a brief review of the recent achievements in the MPEC field and, as further applications of MPECs, we also mention the developments of the stochastic mathematical programs with equilibrium constraints (SMPECs).

引用

页码：206 / 213

页数：8

共 42 条

[1]

Basar T., 1995, Dynamic Noncooperative Game Theory

[2]

Birge J. R., 1997, INTRO STOCHASTIC PRO

[3]

CHEN X, IN PRESS COMPUTATION

[4]

Chen Y., 1995, Optimization, V32, P193, DOI 10.1080/02331939508844048

[5]

Cottle R, 1992, The Linear Complementarity Problem

[6] A smoothing method for mathematical programs with equilibrium constraints [J].

Facchinei, F ;

Jiang, HY ;

Qi, LQ .

MATHEMATICAL PROGRAMMING, 1999, 85 (01) :107-134

[7]

FLETCHER R, 2001, LOCAL CONVERGENCE SQ

[8] Some feasibility issues in mathematical programs with equilibrium constraints [J].

Fukushima, M ;

Pang, JS .

SIAM JOURNAL ON OPTIMIZATION, 1998, 8 (03) :673-681

[9] An implementable active-set algorithm for computing a B-stationary point of a mathematical program with linear complementarity constraints [J].

Fukushima, M ;

Tseng, P .

SIAM JOURNAL ON OPTIMIZATION, 2002, 12 (03) :724-739

[10] A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints [J].

Fukushima, M ;

Luo, ZQ ;

Pang, JS .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1998, 10 (01) :5-34

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