Inventory model for deteriorating items with negative exponential demand, probabilistic deterioration and fuzzy lead time under partial back logging

• Authors: SEN Nabendu , SAHA Sumit
• Languages of publication: EN

Abstracts

EN

The effect of lead time plays an important role in inventory management. It is also important to study the optimal strategies when the lead time is not precisely known to the decision-makers. This paper aimed to examine the inventory model for deteriorating items with fuzzy lead time, negative exponential demand, and partially backlogged shortages. This model is unique in its nature due to prob-abilistic deterioration along with fuzzy lead time. The fuzzy lead time was assumed to be triangular, parabolic, trapezoidal numbers. The graded mean integration representation method was used for the defuzzification purpose. Three different types of probability distributions, namely uniform, triangular and beta were used for rate of deterioration to find optimal time and associated total inventory cost. The developed model was validated numerically, and values of optimal time and total inventory cost are given in a tabular form, corresponding to different probability distributions and fuzzy lead-time. The sensitivity analysis was performed on the variation of key parameters to observe its effect on the devel-oped model.

Keywords

EN

fuzzy lead time; shortages; partially backlogged; exponentially declining demand; probabilistic deterioration

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2020
• Volume: 30
• Issue: 3
• Pages: 97-112

Contributors

author

SEN Nabendu

• Department of Mathematics, Assam University, Silchar, 788 011, Assam, India

author

SAHA Sumit

• Department of Mathematics, Assam University, Silchar, 788 011, Assam, India

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Identifiers

DOI

10.37190/ord200306