Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2023
  • Volume: 15
  • Issue: 2

Analytical Study of Inventory Model with Bi-quadratic Demand and Weibull Distributed Deterioration Rate

1Department 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 12 December, 2023.

Abstract

The present work is an attempt to investigate an inventory model for decomposing items or products with bi-quadratic demand over time by using Weibull distribution as deterioration rate along with Shortages. The demand function is convex and provides best solution. To demonstrate the convexity of this model a three-dimensional graphical representation is being presented. An illustration is provided to double-check the model. The solution has been subjected to the sensitivity analysis concerning main parameters and the results have been presented.

Keywords

Deterioration, Biquadratic demand, Shortages, Weibull distribution, Total Inventory Cost