Interior point filter method for semi-infinite programming problems

Semi-infinite programming (SIP) problems can be efficiently solved by reduction type methods. Here, we present a new reduction method for SIP, where the multi-local optimization is carried out with a stretched simulated annealing algorithm, the reduced (finite) problem is approximately solved by a N...

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Bibliographic Details
Main Author: Costa, M. Fernanda P. (author)
Other Authors: Fernandes, Edite Manuela da G. P. (author), Pereira, Ana I. P. N. (author)
Format: article
Language:eng
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/1822/14755
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/14755
Description
Summary:Semi-infinite programming (SIP) problems can be efficiently solved by reduction type methods. Here, we present a new reduction method for SIP, where the multi-local optimization is carried out with a stretched simulated annealing algorithm, the reduced (finite) problem is approximately solved by a Newton’s primal-dual interior point method that uses a novel two-dimensional filter line search strategy to guarantee convergence to a KKT point that is a minimizer, and the global convergence of the overall reduction method is promoted through the implementation of a classical two-dimensional filter line search. Numerical experiments with a set of well-known problems are shown.