Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/102028
Author(s): Joaquim J. Júdice
Ana M. Faustino
Isabel M. Ribeiro
A. Serra Neves
Title: On the use of bilevel programming for solving a structural optimization problem with discrete variables
Issue Date: 2006
Abstract: In this paper, a bilevel formulation of a structural optimization problem with discrete variables is investigated. The bilevel programming problem is transformed into a Mathematical Program with Equilibrium (or Complementarity) Constraints (MPEC) by exploiting the Karush-Kuhn-Tucker conditions of the follower's problem.A complementarity active-set algorithm for finding a stationary point of the corresponding MPEC and a sequential complementarity algorithm for computing a global minimum for the MPEC are analyzed. Numerical results with a number of structural problems indicate that the active-set method provides in general a structure that is quite close to the optimal one in a small amount of effort. Furthermore the sequential complementarity method is able to find optimal structures in all the instances and compares favorably with a commercial integer program code for the same purpose.
Subject: Outras ciências da engenharia e tecnologias
Other engineering and technologies
Scientific areas: Ciências da engenharia e tecnologias::Outras ciências da engenharia e tecnologias
Engineering and technology::Other engineering and technologies
URI: https://repositorio-aberto.up.pt/handle/10216/102028
Source: On the use of bilevel programming for solving a structural optimization problem with discrete variables
Document Type: Capítulo ou Parte de Livro
Rights: restrictedAccess
Appears in Collections:FEUP - Capítulo ou Parte de Livro

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