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Optimisation of finite economic production quantity model under cloudy normalised triangular fuzzy number

Author

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  • Neelanjana Rajput
  • Anand Chauhan
  • R.K. Pandey

Abstract

This study introduced an economic production quantity (EPQ) model with a finite production rate established for cloudy normalised triangular fuzzy number (CNTFN). In real-life situations, the goals and inventory parameters are not precise. Such type of uncertainty may be characterised by fuzzy numbers. The main objective of this research effort is to develop a mathematical model and optimise EPQ with different environment-like crisp, general fuzzy and cloudy fuzzy situations. A novel defuzzification methodology has been used for EPQ by Yager's ranking index method. Here, the constraint goal and the inventory cost parameters are assumed to be triangular-shaped fuzzy numbers with different types of left and right membership functions. The cost functions associated to these models are verified to be convex, and optimal criteria are established in all three situations. The models are numerical, graphically demonstrated and sensitivity analysis shows a decent explanation. The paper also discusses the applications and future scope of the CNTFN model in realistic situations such as when items are not easy to replenish due to some transport problem and some problems in geographically hilly regions.

Suggested Citation

  • Neelanjana Rajput & Anand Chauhan & R.K. Pandey, 2022. "Optimisation of finite economic production quantity model under cloudy normalised triangular fuzzy number," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 43(1/2), pages 168-187.
    • Handle: RePEc:ids:ijores:v:43:y:2022:i:1/2:p:168-187
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    Cited by:

    1. Mandeep Mittal & Vibhor Jain & Jayanti Tripathi Pandey & Muskan Jain & Himani Dem, 2023. "Optimizing Inventory Management: A Comprehensive Analysis of Models Integrating Diverse Fuzzy Demand Functions," Mathematics, MDPI, vol. 12(1), pages 1-18, December.
    2. Osama Abdulaziz Alamri & Navneet Kumar Lamba & Mahesh Kumar Jayaswal & Mandeep Mittal, 2024. "A Sustainable Inventory Model with Advertisement Effort for Imperfect Quality Items under Learning in Fuzzy Monsoon Demand," Mathematics, MDPI, vol. 12(15), pages 1-41, August.

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