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Journal of Intelligent Manufacturing

, Volume 29, Issue 8, pp 1753–1771 | Cite as

The (pqrl) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean

  • Sujit Kumar De
  • Shib Sankar Sana
Article

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.

Keywords

Manufacturing Lead time Fuzzy system Bonferroni mean Optimization 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MathematicsMidnapore College (Autonomous)Paschim MedinipurIndia
  2. 2.Department of MathematicsBhangar MahavidyalayaSouth 24 ParganasIndia

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