IDEAS home Printed from https://ideas.repec.org/a/spr/snopef/v6y2025i4d10.1007_s43069-025-00574-2.html
   My bibliography  Save this article

A Study on the Efficiency of Genetic Algorithm in Optimizing Fuzzy Transportation Models

Author

Listed:
  • Manish Singh

    (Chaudhary Charan Singh University, Department of Mathematics)

  • Tarun Kumar

    (Chaudhary Charan Singh University, Department of Mathematics)

  • Shreshtha Malik

    (Delhi Technological University, Department of Mechanical Engineering)

  • M. K. Sharma

    (Chaudhary Charan Singh University, Department of Mathematics)

Abstract

This study presents an innovative application of genetic algorithm (GA) to optimize the classical fuzzy transportation problem (FTP). We keep the availability and demand variables in crisp form while maintaining the cost parameters of the classical transportation model in fuzzy form. By transforming the fuzzy problem into a pointwise crisp problem, we then apply existing methods to find possible solutions. These solutions, particularly the unit allocations, serve as the initial population for the GA. The GA then proceeds to yield an optimized solution, achieved through the strategic selection of parents from the initial population and the implementation of crossover and mutation operations. This research reveals a significant reduction in costs when GA is employed in conjunction with solutions derived from traditional methods. To elucidate this approach, the study details its application in two distinct numerical examples where the costs are denoted as triangular and trapezoidal fuzzy numbers. These examples effectively demonstrate the enhanced optimization capabilities of genetic algorithm in the context of fuzzy transportation problems, indicating a promising avenue for future research and practical applications.

Suggested Citation

  • Manish Singh & Tarun Kumar & Shreshtha Malik & M. K. Sharma, 2025. "A Study on the Efficiency of Genetic Algorithm in Optimizing Fuzzy Transportation Models," SN Operations Research Forum, Springer, vol. 6(4), pages 1-22, December.
    • Handle: RePEc:spr:snopef:v:6:y:2025:i:4:d:10.1007_s43069-025-00574-2
    DOI: 10.1007/s43069-025-00574-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43069-025-00574-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s43069-025-00574-2?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

    for a different version of it.

    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:spr:snopef:v:6:y:2025:i:4:d:10.1007_s43069-025-00574-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.