Algorithms for linear programming with linear complementarity constraints

被引:7
|
作者
Judice, Joaquim J. [1 ,2 ]
机构
[1] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal
[2] Inst Telecomunicacoes, P-3001454 Coimbra, Portugal
关键词
Complementarity problems; Global optimization; Nonlinear programming; Mathematical programming with linear complementarity constraints; MATHEMATICAL PROGRAMS; OPTIMALITY CONDITIONS; GLOBAL OPTIMIZATION; STATIONARY POINT; BOUND ALGORITHM; CUT ALGORITHM; ELASTIC-MODE; BRANCH; CONVERGENCE;
D O I
10.1007/s11750-011-0228-2
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Linear programming with linear complementarity constraints (LPLCC) is an area of active research in Optimization, due to its many applications, algorithms, and theoretical existence results. In this paper, a number of formulations for important nonconvex optimization problems are first reviewed. The most relevant algorithms for computing a complementary feasible solution, a stationary point, and a global minimum for the LPLCC are also surveyed, together with some comments about their efficiency and efficacy in practice.
引用
收藏
页码:4 / 25
页数:22
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