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The (p, q, r, l) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean

Author

Listed:
  • Sujit Kumar De

    (Midnapore College (Autonomous))

  • Shib Sankar Sana

    (Bhangar Mahavidyalaya)

Abstract

This paper investigates a hill type economic production-inventory quantity (EPIQ) model with variable lead-time, order size and reorder point for uncertain demand. The average expected cost function is formulated by trading off costs of lead-time, inventory, lost sale and partial backordering. Due to the nature of the demand function, the frequent peak (maximum) and valley (minimum) of the expected cost function occur within a specific range of lead time. The aim of this paper is to search the lowest valley of all the valley points (minimum objective values) under fuzzy stochastic demand rate. We consider Intuitionistic fuzzy sets for the parameters and used Intuitionistic Fuzzy Aggregation Bonferroni mean for the defuzzification of the hill type EPIQ model. Finally, numerical examples and graphical illustrations are made to justify the model.

Suggested Citation

  • Sujit Kumar De & Shib Sankar Sana, 2018. "The (p, q, r, l) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1753-1771, December.
    • Handle: RePEc:spr:joinma:v:29:y:2018:i:8:d:10.1007_s10845-016-1213-2
    DOI: 10.1007/s10845-016-1213-2
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    References listed on IDEAS

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    4. Leopoldo Eduardo Cardenas-Barron & Neale R. Smith & Jose Luis Martinez-Flores & Marisela Rodriguez Salvador, 2010. "Modelling lead time effects on joint inventory and price optimisation," International Journal of Logistics Economics and Globalisation, Inderscience Enterprises Ltd, vol. 2(3), pages 270-291.
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    6. De, Sujit Kumar & Sana, Shib Sankar, 2013. "Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index," Economic Modelling, Elsevier, vol. 31(C), pages 351-358.
    7. Sujit De & Shib Sana, 2015. "Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach," Annals of Operations Research, Springer, vol. 233(1), pages 57-76, October.
    8. Ouyang, Liang-Yuh & Wu, Kun-Shan, 1998. "A minimax distribution free procedure for mixed inventory model with variable lead time," International Journal of Production Economics, Elsevier, vol. 56(1), pages 511-516, September.
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    Cited by:

    1. Bikash Koli Dey & Hyesung Seok, 2024. "Intelligent inventory management with autonomation and service strategy," Journal of Intelligent Manufacturing, Springer, vol. 35(1), pages 307-330, January.

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