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Modified goal programming approach for solving multi-objective environmental management problem

Author

Listed:
  • Sujeet Kumar Singh

    (Indian Statistical Institute)

  • Vinay Yadav

    (Indian Institute of Technology Kharagpur)

Abstract

Although goal programming is one of the most used techniques for modeling and solving multi-objective optimization problems due to modeling elegance and mathematical simplicity. However, the existing goal programming methods have some deficiencies in assigning the weights and then finding the solution per the objectives’ priority to tackle the incommensurabilty in heterogeneous objectives. Therefore, this article proposes an efficient scalarization technique to solve the multi-objective optimization problem by introducing a modified goal function. The performance of the proposed method is evaluated using some closeness measure to the ideal solution for several test problems. A real application of the proposed method is illustrated in finding the best locations to establish municipal solid waste (MSW) management intermediate facilities in Nashik city (India). The model selects the three best locations out of the given eight potential locations to establish facilities by considering environmental and economic objectives. Overall, this study provides a theoretical advancement supported by a real-life MSW management application.

Suggested Citation

  • Sujeet Kumar Singh & Vinay Yadav, 2025. "Modified goal programming approach for solving multi-objective environmental management problem," Annals of Operations Research, Springer, vol. 346(2), pages 1767-1783, March.
    • Handle: RePEc:spr:annopr:v:346:y:2025:i:2:d:10.1007_s10479-023-05342-1
    DOI: 10.1007/s10479-023-05342-1
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    References listed on IDEAS

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    1. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    2. Jadidi, O. & Zolfaghari, S. & Cavalieri, S., 2014. "A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation," International Journal of Production Economics, Elsevier, vol. 148(C), pages 158-165.
    3. Stewart, Theodor J., 2010. "Goal directed benchmarking for organizational efficiency," Omega, Elsevier, vol. 38(6), pages 534-539, December.
    4. Sujeet Kumar Singh & Mark Goh, 2019. "Multi-objective mixed integer programming and an application in a pharmaceutical supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 57(4), pages 1214-1237, February.
    5. Tamiz, Mehrdad & Jones, Dylan & Romero, Carlos, 1998. "Goal programming for decision making: An overview of the current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 111(3), pages 569-581, December.
    6. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
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