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《Journal of Jiaying University》 2015-08
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A kind of smoothing algorithm for mathematical program with complementarity constraints

XIE Shui-lian;School of Mathematics,Jiaying University;  
Mathematical program with complementarity constraints is a kind of important problem of mathematical program with equilibrium constraints,and it has very wide applications. In this paper,using smoothing strategy,the complementarity constraints is replaced by an almost smooth equation. Moreover,MPCC is changed into a sequence of nonlinear programming. We present the iterative algorithm and test the efficiency for some problems in Mac MPEC database.
【Fund】: 广东省教育厅青年创新人才项目(2014KQNCX210)
【CateGory Index】: O224
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Liu Bing;Ulji;Wang Hui;Department of Social Sciences,Mathematics and Physics,Chengde Petroleum College;Department of Mathematics,College of Science,Inner Mongolia Polytechnic University;;A NEW KIND OF RELAX SQP METHOD FOR MATHEMATICAL PROGRAMS WITH GENERAL COMPLEMENTARITY CONSTRAINTS[J];Numerical Mathematics A Journal of Chinese Universities;2013-02
2 YAN TaoDepartment of Information and Computational Sciences, College of Science, Nanjing University of Science and Technology, Nanjing 210094, China;A new smoothing scheme for mathematical programs with complementarity constraints[J];中国科学:数学(英文版);2010-07
3 XUE Lihong,WANG Rui(College of Sciences,Inner Mongolia University of Technology);A Trust Region Algorithm for Mathematical Programswith Complementarity Constraints[J];Journal of Jining Teachers College;2007-04
4 BAI Meihua1,2,WU liji2(1.School of Mathematics,Physics and Biological Engineering,Inner Mongolia University of Science and Technology,Baotou,014010;2.College of Sciences,Inner Mongolia University of technology,Hohhot,010051.);CONVERGENCE ANALYSIS OF A PARTIAL AUGMENTEDLAGRANGIAN PENALTY METHOD FOR MPCC[J];Journal of Inner Mongolia University of Technology(Natural Science);2011-02
5 LIU Shui-xia,CHEN Guo-qing(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China);A Relaxation Method for Mathematical Programs with Complementarity Constraints[J];Journal of Inner Mongolia University;2008-06
6 Yuan Min;Wan Zhong;School of Mathematics and Statistics,Central South University;;NON-MONOTONE SMOOTHING ALGORITHM FOR SOLVING NONLINEAR P_0 COMPLEMENTARITY PROBLEMS[J];Mathematica Numerica Sinica;2014-01
7 ZHANG Liwei;Robert Ebihart Msigwa;School of Mathematical Sciences,Dalian University of Technology;;On the convergence of a perturbation approach for a class of optimization problems with complementarity constraints[J];Journal of Liaoning Normal University(Natural Science Edition);2014-03
8 FAN Lin,DUAN Fu-jian(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China);A New Smoothing Approximation Method for Mathematical Programs with Nonliear Complementarity Constraints[J];Journal of Shanxi University(Natural Science Edition);2009-02
9 LIU Shuixia CHEN Guoqing 010021;School of Mathematical Sciences,Inner Mongolia University, Hohhot 010021,China;A Multiplier Sequential Partial Penalization Algorithm for Mathematical Programs with Complementarity Constraints[J];Operations Research Transactions;2011-04
10 WAN Zhong (School of Mathematics Science and Computing Technology, Central South University, ChangSha 410083) ZHOU Shuzi (College of Mathematics and Econometrics, Hunan University, ChangSha 410082);Smooth SQP Algorithm For Mathematical Programs with Implicit Complementarity Constraints[J];Acta Mathematicae Applicatae Sinica;2007-05
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