Title: Comparative study of purchasing EOQ model for time-sensitive holding cost under different demand with and without deterioration

Authors: R.P. Tripathi

Addresses: Department of Applied Sciences and Humanities, KNIT, Sultanpur, UP, 228118, India; Affiliated to: Dr. A.P.J. Abdul Kalam Technical University, Lucknow, Uttar Pradesh, India

Abstract: This paper investigates the effects of carrying cost, deterioration and different demand rates on the optimal control system. We proposed three EOQ models to compare over the cycle time in which carrying cost is linearly time dependent. Three models are considered. In the first model demand rate is stock-sensitive, while in the second model constant deterioration is included in addition to model one. In the third model constant deterioration and exponential demand rate is taken in to account. The total inventory cost in inventory systems is modelled. The optimal solution is derived for proposed models. The planned model is demonstrated with numerical examples and sensitivity analysis for finding decision-making insights. Based on the optimal solution some important theorems are obtained. Finally, comparisons of three proposed models are also discussed. Mathematica 7.0, software is used to find the numerical outcomes.

Keywords: inventory; stock-linked demand; exponential; deterioration; lot-size.

DOI: 10.1504/IJMOR.2023.130174

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.4, pp.475 - 490

Received: 30 Nov 2021
Accepted: 15 Jan 2022

Published online: 05 Apr 2023 *

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