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Solving multi-objective transportation problem with interval goal using utility function approach

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  • Gurupada Maity
  • Sankar Kumar Roy

Abstract

This paper presents the study of transportation problem (TP) with interval goal under multiple objective environment. Most of the multi-objective transportation problems (MOTP) are solved by goal programming (GP) approach. Using GP, the solution of MOTP may not be satisfied all time by the decision maker (DM) when the proposed problem contains interval-valued aspiration level. To overcome this difficulty, here we propose the approaches of revised multi-choice goal programming (RMCGP) and utility function into the MOTP, and then compared the solution between them. Finally, a real-life problem on TP is considered to show the feasibility and usefulness of our paper.

Suggested Citation

  • Gurupada Maity & Sankar Kumar Roy, 2016. "Solving multi-objective transportation problem with interval goal using utility function approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 27(4), pages 513-529.
    • Handle: RePEc:ids:ijores:v:27:y:2016:i:4:p:513-529
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    Citations

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    Cited by:

    1. P. Senthil Kumar, 2020. "Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 418-451.
    2. Gurupada Maity & Sankar Kumar Roy & Jose Luis Verdegay, 2019. "Time Variant Multi-Objective Interval-Valued Transportation Problem in Sustainable Development," Sustainability, MDPI, vol. 11(21), pages 1-15, November.
    3. Zheng, Xiao-Xue & Chang, Ching-Ter, 2021. "Topology design of remote patient monitoring system concerning qualitative and quantitative issues," Omega, Elsevier, vol. 98(C).
    4. Mondal, Arijit & Giri, Binoy Krishna & Roy, Sankar Kumar, 2023. "An integrated sustainable bio-fuel and bio-energy supply chain: A novel approach based on DEMATEL and fuzzy-random robust flexible programming with Me measure," Applied Energy, Elsevier, vol. 343(C).

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