An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging

G. C. Samanta,Smrutirekha Debata,Milu Acharya

doi:10.5267/j.ijiec.2014.12.001

G. C. Samanta, Smrutirekha Debata + Show 1 more

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https://doi.org/10.5267/j.ijiec.2014.12.001

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Abstract

Article history: Received March 9 2014 Received in Revised Format August 5 2014 Accepted December 3 2014 Available online December 3 2014 In this paper, we consider the inventory model for perishable items with quadratic trapezoidal type demand rate, that is, the demand rate is a piecewise quadratic function under constant deterioration rate. The model consider allows for shortages and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example. Finally, we discuss sensitivity analysis for the model. © 2015 Growing Science Ltd. All rights reserved

Highlights

Deteriorating items are very common issue in our daily life circumstances
In a realistic product life cycle, demand is increasing with time during the growth phase
We extend Hill’s ramp type demand rate to quadratic trapezoidal type demand rate

Summary

Introduction

Deteriorating items are very common issue in our daily life circumstances. In recent years, many researchers have studied inventory models for deteriorating items, academia has not reached a consensus on the definition of the deteriorating items. We extend Hill’s ramp type demand rate to quadratic trapezoidal type demand rate Such type of demand pattern is generally seen in the case of any fad or seasonal goods coming to market. The demand rate for such items increases quadratic-ally with the time up to certain time and stabilizes and becomes constant, and the demand rate approximately decreases to a constant, and begins the replenishment cycle. We think that such type of demand rate is quite natural and useful in real world market situation. One can think that our work may provide a solid foundation for the future study of this kind of important inventory models with quadratic trapezoidal type demand rate

Assumption and notations

Mathematical and theoretical results

Conclusion