Title: An inventory model with piecewise cost functions and multivariate deterioration

Authors: Shilpy Tayal

Addresses: Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, India

Abstract: The study highlights that the temperature of surroundings affects the rate of deterioration and deterioration is a major parameter to check the quality of any product. Here an inventory model for routine items with time and temperature dependent deterioration and piecewise cost functions has been developed. Combining the above mentioned factors together and considering all possible cases of temperature the optimal values of total average cost has been discussed at different points in the assumed range. With the help of numerical example it is concluded that total average cost is minimum 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; piecewise cost functions; demand; inventory; shortages; partial backlogging; lost sale.

DOI: 10.1504/IJADS.2025.145884

International Journal of Applied Decision Sciences, 2025 Vol.18 No.3, pp.282 - 304

Received: 25 Apr 2023
Accepted: 24 Jun 2023
Published online: 30 Apr 2025 *

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