Mathematical programming with equilibrium constraints

Known as: MPEC, Mathematical program with equilibrium constraints, Mathematical programs with equilibrium constraints 
Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include… (More)
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Papers overview

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Highly Cited
2009
Highly Cited
2009
! MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS AND
We discuss recent advances in mathematical programs with equilibrium constraints (MPECs). We describe the challenges posed by… (More)
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Highly Cited
2008
Highly Cited
2008
Monte Carlo and quasi-Monte Carlo sampling methods for a class of stochastic mathematical programs with equilibrium constraints
In this paper, we consider a class of stochastic mathematical programs with equilibrium constraints introduced by Birbil et al… (More)
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Highly Cited
2006
Highly Cited
2006
Local Convergence of SQP Methods for Mathematical Programs with Equilibrium Constraints
Recently, nonlinear programming solvers have been used to solve a range of mathematical programs with equilibrium constraints… (More)
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Highly Cited
2004
Highly Cited
2004
Necessary and Sufficient Optimality Conditions for Mathematical Programs with Equilibrium Constraints ∗
In this paper we consider a mathematical program with equilibrium constraints (MPEC) formulated as a mathematical program with… (More)
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2004
2004
Optimality Conditions for Disjunctive Programs with Application to Mathematical Programs with Equilibrium Constraints
We consider optimization problems with a disjunctive structure of the feasible set. Using Guignard-type constraint qualifications… (More)
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2001
2001
On the solution of mathematical programming problems with equilibrium constraints
Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints… (More)
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Highly Cited
1999
Highly Cited
1999
A smoothing method for mathematical programs with equilibrium constraints
The mathematical program with equilibrium constraints (MPEC) is an optimization problem with variational inequality constraints… (More)
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Highly Cited
1999
Highly Cited
1999
Complementarity Constraint Qualifications and Simplified B-Stationarity Conditions for Mathematical Programs with Equilibrium Constraints
With the aid of some novel complementarity constraint quali cations, we derive some simpli ed primal-dual characterizations of a… (More)
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Highly Cited
1999
Highly Cited
1999
Stochastic mathematical programs with equilibrium constraints
In this note, we present the necessary mathematical framework for stochastic MPEC models, including some new results on the… (More)
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1998
1998
Some Feasibility Issues in Mathematical Programs with Equilibrium Constraints
This paper is concerned with some feasibility issues in mathematical programs with equilibrium constraints (MPECs) where… (More)
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