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An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints

Author

Listed:
  • Selma Gütmen

    (Poznan University of Technology)

  • Sankar Kumar Roy

    (Vidyasagar University)

  • Gerhard-Wilhelm Weber

    (Poznan University of Technology
    IAM. METU)

Abstract

Goal programming (GP) is one of the widely used and effective method of solving real-world multi-objective decision-making problems. The term “multi-objective transportation problem” (MOTP) covers a specific class of vector maximum (minimum) linear programming problem that typically has multiple, competing, and incompatible objective functions. In this article, GP and weighted goal programming (WGP) are summarized in MOTP. Furthermore, its advantages over GP are illustrated by a theorem. Additionally, by utilizing WGP, a solution procedure is articulated for MOTP. Finally, an application on screen-panels of mobile devices is presented to explore the applicability. The paper ends with a conclusion and including an outlook to future studies, whereby we address internal and external transportation, and view the internal one with a broader understanding of logistics.

Suggested Citation

  • Selma Gütmen & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2024. "An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(3), pages 557-568, September.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:3:d:10.1007_s10100-023-00861-5
    DOI: 10.1007/s10100-023-00861-5
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