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    A new exact penalty function approach to semi-infinite programming problem

    Access Status
    Fulltext not available
    Authors
    Yu, Changjun
    Teo, Kok Lay
    Zhang, L.
    Date
    2014
    Type
    Book Chapter
    
    Metadata
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    Citation
    Yu, C. and Teo, K. and Zhang, L. 2014. A new exact penalty function approach to semi-infinite programming problem, in Rassias, T. and Floudas, C. and Butenko, S. (ed), Optimization in Science and Engineering, pp. 583-596. New York: Springer.
    Source Title
    Optimization in Science and Engineering
    DOI
    10.1007/978-1-4939-0808-0_28
    ISBN
    9781493908073
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/16689
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we propose a new exact penalty function method for solving a class of semi-infinite programming problems (SIPs). We introduce a logarithmic form function of the constraint violation, where the constraint violation is a measure of the violation of the constraints of the current iterate. By appending it to the objective function, we obtain a sequence of approximate conventional unconstrained optimization problem. It is proved that when the penalty parameter is sufficiently large, any local minimizer of the approximate problem is a local minimizer of the original problem. Numerical results show that the proposed method is effective.

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