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Numerical experiments with a modified regularization scheme for mathematical programs with complementarity constraints
Teófilo M. M. Melo,João Matias,M. Teresa T. Monteiro +2 more
- 01 Jan 2013
- pp 254-261
TL;DR: A modified regularization scheme for Mathematical Programs with Complementarity Constraints is presented, in which both the complementarity condition and the nonnegativity constraints are relaxed.
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Abstract: On this paper we present a modified regularization scheme for Mathematical Programs with Complementarity Constraints In the regularized formulations the complementarity condition is replaced by a constraint involving a positive parameter that can be decreased to zero In our approach both the complementarity condition and the nonnegativity constraints are relaxed An iterative algorithm is implemented in MATLAB language and a set of AMPL problems from MacMPEC database were tested
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References
•Book
AMPL: A Modeling Language for Mathematical Programming
Robert Fourer,Brian W. Kernighan +1 more
- 01 Jan 1993
TL;DR: An efficient translator is implemented that takes as input a linear AMPL model and associated data, and produces output suitable for standard linear programming optimizers.
3.2K
•Book
AMPL : a modeling language for mathematical programming
Robert Fourer,Brian W. Kernighan +1 more
- 01 Jan 2003
TL;DR: AMPL as mentioned in this paper is a language designed to make the optimization of large-scale mathematical programs easier and less error-prone than traditional linear programming optimizers, and it can be extended to more general mathematical programs that incorporate nonlinear expressions or discrete variables.
2.8K
Engineering and Economic Applications of Complementarity Problems
Michael C. Ferris,Jong-Shi Pang +1 more
TL;DR: The goal of this documentation is to summarize the essential applications of the nonlinear complementarity problem known to date, to provide a basis for the continued research on the non linear complementarityproblem, and to supply a broad collection of realistic complementarity problems for use in algorithmic experimentation and other studies.
Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
Holger Scheel,Stefan Scholtes +1 more
TL;DR: Several stationarity concepts, based on a piecewise smooth formulation, are presented and compared and Fiacco-McCormick type second order optimality conditions and an extension of the stability results of Robinson and Kojima are presented.
744
•Book
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints: Theory, Applications and Numerical Results
Jiří V. Outrata,Michal Kočvara,Jochem Zowe +2 more
- 05 Mar 2013
TL;DR: This chapter discusses the theory and applications of Elliptic Boundary Value problems, and some of the algorithms used to solve these problems have been described.
710