IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v391y2021ics0096300320305968.html
   My bibliography  Save this article

Non parameter-filled function for global optimization

Author

Listed:
  • Pandiya, Ridwan
  • Widodo, Widodo
  • Salmah,
  • Endrayanto, Irwan

Abstract

It has been generally recognized that most of the existing parametric filled function methods used for finding the global mininizer of unconstrained global optimization problems have computational weaknesses. In this paper, a new non parameter-filled function is proposed. This type of auxiliary function behaves as a bridge that can deliver one minimizer to another local minimizer, if one exists. To prove that the proposed filled function satisfies the filling properties required by the filled function definition, the analytical properties are explored. Through several test examples, the capability of this proposed method is demonstrated and the computational weaknesses of the parametric filled function are proved to be surmounted by this new non parameter-filled function.

Suggested Citation

  • Pandiya, Ridwan & Widodo, Widodo & Salmah, & Endrayanto, Irwan, 2021. "Non parameter-filled function for global optimization," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305968
    DOI: 10.1016/j.amc.2020.125642
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320305968
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125642?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fei Wei & Yuping Wang & Hongwei Lin, 2014. "A New Filled Function Method with Two Parameters for Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 510-527, November.
    2. Gao, Yuelin & Yang, Yongjian & You, Mi, 2015. "A new filled function method for global optimization," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 685-695.
    3. El-Gindy, T.M. & Salim, M.S. & Ahmed, A.I., 2016. "A new filled function method applied to unconstrained global optimization," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1246-1256.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. El-Gindy, T.M. & Salim, M.S. & Ahmed, A.I., 2016. "A new filled function method applied to unconstrained global optimization," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1246-1256.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305968. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.