IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v14y2026i9p1406-d1926162.html

On the Exploration and Exploitation Capabilities of the Artificial Bee Colony Algorithm

Author

Listed:
  • Jernej Jerebic

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška Cesta 46, 2000 Maribor, Slovenia)

  • Miha Ravber

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška Cesta 46, 2000 Maribor, Slovenia)

  • Luka Mernik

    (Department of Applied Mathematics, Florida Polytechnic University, 4700 Research Way, Lakeland, FL 33805, USA)

  • Marjan Mernik

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška Cesta 46, 2000 Maribor, Slovenia)

Abstract

In this paper, we investigate the exploration and exploitation capabilities of the Artificial Bee Colony (ABC) algorithm using novel attraction basin-based measures. Previous claims about the ABC’s weak exploitation and exploration capabilities have been scrutinized. These claims are not based on exploration and exploitation measurements and, as such, are questionable. Direct measurements are needed to get real insights into the exploration and exploitation capabilities of any search algorithm. The results show that indirect measurements based on diversity are not appropriate. Our newly developed attraction basin-based measurements allow us to differentiate between exploration types (successful, failed, deceptive, successful rejection) and exploitation types (successful, unsuccessful). Namely, it is not only important that an algorithm is in the exploration phase, but also that promising regions with better solutions are not abandoned and that regions with worse solutions are visited less frequently. Similarly, during the exploitation phase, it is important to discover better solutions in the neighborhood and not exploit in an unsuccessful direction. It has been shown that ABC’s exploration and exploitation capabilities are versatile, and can adapt to different fitness landscapes successfully.

Suggested Citation

  • Jernej Jerebic & Miha Ravber & Luka Mernik & Marjan Mernik, 2026. "On the Exploration and Exploitation Capabilities of the Artificial Bee Colony Algorithm," Mathematics, MDPI, vol. 14(9), pages 1-39, April.
  • Handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1406-:d:1926162
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/14/9/1406/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/14/9/1406/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:gam:jmathe:v:14:y:2026:i:9:p:1406-:d:1926162. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.