Affordable Access

Publisher Website

Optimization and equilibrium problems with equilibrium constraints

Authors
Journal
Omega
0305-0483
Publisher
Elsevier
Publication Date
Volume
33
Issue
5
Identifiers
DOI: 10.1016/j.omega.2004.07.001
Keywords
  • Multiobjective Optimization
  • Equilibrium Constraints
  • Optimality Conditions
  • Variational Analysis
  • Generalized Differentiation
Disciplines
  • Mathematics

Abstract

Abstract This paper concerns optimization and equilibrium problems with the so-called equilibrium constraints mathematical programs with equilibrium constraint (MPEC) and equilibrium problems with equilibrium constraint (EPEC), which frequently appear in applications to operations research. These classes of problems can be naturally unified in the framework of multiobjective optimization with constraints governed by parametric variational systems (generalized equations, variational inequalities, complementarity problems, etc.). We focus on necessary conditions for optimal solutions to MPECs and EPECs under general assumptions in finite-dimensional spaces. Since such problems are intrinsically nonsmooth, we use advanced tools of generalized differentiation to study optimal solutions by methods of modern variational analysis. The general results obtained are concretized for special classes of MPECs and EPECs important in applications.

There are no comments yet on this publication. Be the first to share your thoughts.