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The eigenvalue complementarity problem
Júdice, Joaquim; Sherali, Hanif; Ribeiro, Isabel M.Abstract In this paper an eigenvalue complementarity problem (EiCP) is studied, which finds its origins in the solution of a contact problem in mechanics. The EiCP is shown to be equivalent to a Nonlinear Complementarity Problem, a Mathematical Programming Problem with Complementarity Constraints and a Global Optimization Problem. A finite Reformulation–Linearization Technique (Rlt)-based tree search algorith...
A Complementarity-based Partitioning and Disjunctive Cut Algorithm for Mathemat...
Júdice, Joaquim; Sherali, Hanif; Ribeiro, Isabel; Faustino, AnaAbstract 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...
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