A complementarity-based partitioning and disjunctive cut algorithm for mathematical programming problems with equilibrium constraints

In this paper a branch-and-bound algorithm is proposed for finding a global minimum to a Mathematical Programming Problem with Complementarity (or Equilibrium) Constraints (MPECs), which incorporates disjunctive cuts for computing lower bounds and employs a Complementarity Active-Set Algorithm for c...

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Detalhes bibliográficos
Autor principal: Joaquim J. Júdice (author)
Outros Autores: Hanif D. Sherali (author), Isabel M. Ribeiro (author), Ana M. Faustino (author)
Formato: article
Idioma:eng
Publicado em: 2006
Assuntos:
Texto completo:https://hdl.handle.net/10216/96247
País:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/96247
Descrição
Resumo:In this paper a branch-and-bound algorithm is proposed for finding a global minimum to a Mathematical Programming Problem with Complementarity (or Equilibrium) Constraints (MPECs), which incorporates disjunctive cuts for computing lower bounds and employs a Complementarity Active-Set Algorithm for computing upper bounds. Computational results for solving MPECs associated with Bilivel Problems, NP-hard Linear Complementarity Problems, and Hinge Fitting Problems are presented to highlight the efficacy of the procedure in determining a global minimum for different classes of MPECs.