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

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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.

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Acknowledgment

The authors of the manuscript are highly acknowledged to the Editor-in-Chief of CEJOR, Professor Ulrike Leopold-Wildburger, for her continuous support for publishing the manuscript.

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Authors and Affiliations

  1. Faculty of Engineering Management, Poznan University of Technology, Poznan, Poland

    Selma Gütmen & Gerhard-Wilhelm Weber

  2. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102, India

    Sankar Kumar Roy

  3. IAM. METU, Ankara, Turkey

    Gerhard-Wilhelm Weber

Authors
  1. Selma Gütmen
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  2. Sankar Kumar Roy
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  3. Gerhard-Wilhelm Weber
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Correspondence to Sankar Kumar Roy.

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Gütmen, S., Roy, S.K. & Weber, GW. An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints. Cent Eur J Oper Res 32, 557–568 (2024). https://doi.org/10.1007/s10100-023-00861-5

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  • DOI: https://doi.org/10.1007/s10100-023-00861-5

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