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TitleComparison of penalty functions on a penalty approach to mixed-integer optimization
Author(s)Francisco, Rogério Brochado
Costa, M. Fernanda P.
Rocha, Ana Maria A. C.
Fernandes, Edite Manuela da G. P.
Penalty function
Firefly algorithm
Issue dateJun-2016
PublisherAIP Publishing
JournalAIP Conference Proceedings
Abstract(s)In this paper, we present a comparative study involving several penalty functions that can be used in a penalty approach for globally solving bound mixed-integer nonlinear programming (bMIMLP) problems. The penalty approach relies on a continuous reformulation of the bMINLP problem by adding a particular penalty term to the objective function. A penalty function based on the ‘erf’ function is proposed. The continuous nonlinear optimization problems are sequentially solved by the population-based firefly algorithm. Preliminary numerical experiments are carried out in order to analyze the quality of the produced solutions, when compared with other penalty functions available in the literature.
TypeConference paper
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review
CAlg - Livros e capítulos de livros/Books and book chapters

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