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    A critical review of discrete filled function methods in solving nonlinear discrete optimization problems

    160112_160112.pdf (390.3Kb)
    Access Status
    Open access
    Authors
    Woon, Siew Fang
    Rehbock, Volker
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Woon, Siew Fang and Rehbock, Volker. 2010. A critical review of discrete filled function methods in solving nonlinear discrete optimization problems. Applied Mathematics and Computations. 217 (1): pp. 25-41.
    Source Title
    Applied Mathematics and Computations
    DOI
    10.1016/j.amc.2010.05.009
    ISSN
    00963003
    School
    Department of Mathematics and Statistics
    Remarks

    NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematics and Computations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in AppliedMathematics and Computations, 217, 1, 2010 DOI 10.1016/j.amc.2010.05.009

    URI
    http://hdl.handle.net/20.500.11937/42716
    Collection
    • Curtin Research Publications
    Abstract

    Many real life problems can be modeled as nonlinear discrete optimization problems. Such problems often have multiple local minima and thus require global optimization methods. Due to high complexity of these problems, heuristic based global optimization techniques are usually required when solving large scale discrete optimization or mixed discrete optimization problems. One of the more recent global optimization tools is known as the discrete filled function method. Nine variations of the discrete filled function method in literature are identified and a review on theoretical properties of each method is given. Some of the most promising filled functions are tested on various benchmark problems. Numerical results are given for comparison.

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