Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2021
  • Volume: 13
  • Issue: 1

Analytical study of deterministic inventory model for deteriorating items with cubic demand rate

  • Author:
  • Suman1, Vinod Kumar2
  • Total Page Count: 8
  • Page Number: 21 to 28

1Research Scholar, Department of Mathematics, School of Applied Sciences, Om Sterling Global University, Hisar, E-mail: 21suman07@gmail.com

2Professor & Head, Department of Mathematics, School of Applied Sciences, Om Sterling Global University, Hisar, kakoriavinod@gmail.com

Online published on 10 September, 2021.

Abstract

This paper explores a deterministic inventory mathematical model for deteriorating items with cubic demand function with respect to time. In the model, shortages are also allowed. Further, it shows that the cubic demand function is convex and gives the optimal solution. A 3-Dimensional graphical representation is used to show the convexity of this model. An illustration is also given to verify the various effects of parameters that are used to calculate the total inventory cost.

Keywords

Deterioration, Cubic demand, Shortages, Total inventory cost