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Fuzzy multi-objective deterministic inventory model with time dependent demand and holding cost under Pythagorean fuzzy goal programming approach

Author

Listed:
  • Kausik Das

    (University of Kalyani)

  • Sahidul Islam

    (University of Kalyani)

Abstract

In this present study we have considered a deterministic inventory model in which we have taken deterioration as a function of time and demand function is considered initially linear for some time and next exponential. In the presence of uncertainty all the cost parameters are taken as generalized triangular fuzzy number. The proposed inventory model has been solved by fuzzy nonlinear programming approach and Pythagorean fuzzy goal programming approach. Finally we have taken numerical examples and sensitivity analysis for some cost parameters.

Suggested Citation

  • Kausik Das & Sahidul Islam, 2024. "Fuzzy multi-objective deterministic inventory model with time dependent demand and holding cost under Pythagorean fuzzy goal programming approach," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1224-1244, September.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:3:d:10.1007_s12597-023-00727-z
    DOI: 10.1007/s12597-023-00727-z
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    References listed on IDEAS

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    1. Dye, Chung-Yuan & Chang, Horng-Jinh & Teng, Jinn-Tsair, 2006. "A deteriorating inventory model with time-varying demand and shortage-dependent partial backlogging," European Journal of Operational Research, Elsevier, vol. 172(2), pages 417-429, July.
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