Title: A decision model to improve the performance of inventory management for deteriorating items considering temperature

Authors: Shilpy Tayal; Neeraj Dhiman; S.R. Singh

Addresses: Department of Mathematics, Graphic Era Hill University, Dehradun-248001, India ' Department of Mathematics, Graphic Era Hill University, Dehradun-248001, India ' Department of Mathematics, C.C.S. University, Meerut-250001, India

Abstract: Here an inventory system for time and temperature dependent deterioration with constant demand rate has been developed. If we discuss about a cold storage warehouse then the items stored maintain its quality in a particular range of temperature. A temperature value higher or lower than this range results in an increased rate of deterioration. Considering all the possible cases of temperature the optimal value of unit time profit have been calculated at different points in the assumed range. With the help of numerical example it is concluded that unit time profit is maximum at that temperature value which is feasible for that particular item. With numerical analysis the optimality of the system in all the three cases has also shown graphically. Further to verify the system stability sensitivity analysis has been performed and the system is found to be quite stable.

Keywords: temperature and time dependent deterioration; demand; inventory; shortages; lost sale; partial backlogging.

DOI: 10.1504/IJCSM.2022.125904

International Journal of Computing Science and Mathematics, 2022 Vol.15 No.4, pp.315 - 331

Received: 23 May 2020
Accepted: 01 Jul 2020
Published online: 04 Oct 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article