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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 135) Last page : ( 148)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00019.7

Inventory Model having Polynomial Time Cubic Function Demand with Weibull Distribution as Deterioration Rate

Suman1,*, Kumar Vinod2,**

1Research Scholar, Department of Mathematics, School of Applied Sciences, Om Sterling Global University, Hisar-125001

2Professor & Head, Department of Mathematics, School of Applied Sciences, Om Sterling Global University, Hisar-125001

*E-mail: sumanmth191@osgu.ac.in

**kakoriavinod@gmail.com

Online Published on 08 June, 2023.

Abstract

This study examines an inventory model for products or objects that deteriorate over time with a cubic demand and a Weibull degradation rate. The model allows for shortages. Additionally, it demonstrates how the cubic demand function is convex and produces the optimal outcome. The convexity of this model is depicted graphically in three dimensions. In order to confirm the model, an illustration is made. The findings of a sensitivity analysis of the optimal solution with regard to the key variables were provided.

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Keywords

Deterioration, Cubic demand, Shortages, Total inventory cost.

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