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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Dynamical Systems
Volume 11 - 2025 | doi: 10.3389/fams.2025.1410533

Two-Warehouse Deterministic Inventory Model of Expiry Date known Deteriorating Items with Just-in-Time Purchases for Slotted Backlogs

Provisionally accepted
R Thilagavathi R Thilagavathi 1J Viswanath J Viswanath 1Udaya Prakash J Udaya Prakash J 1Sachin Salunkhe Sachin Salunkhe 2*Miroslav Mahdal Miroslav Mahdal 3
  • 1 Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India
  • 2 Gazi University, Ankara, Türkiye
  • 3 Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, Ostrava, Moravian-Silesian Region, Czechia

The final, formatted version of the article will be published soon.

    A two-warehouse deterministic inventory system of purchases of short expiry dated items with low purchasing cost is modelled. The total cost of the replenishment cycle is arrived by implementing multiple Just-in-time (JIT) for the slotted backlogged customers. It avoids the loss of impatient customers who are virtually waiting for a long time. The inventory system consists of an own warehouse (OW) with finite capacity and an integral rental warehouse (RW) with unlimited capacity. Handling and selling items with short expiry is a challenging task of revenue generation in commercial inventory management. Two categories of identical items are purchased: the items whose expiry date falls within the replenishment cycle period as category-1 and the items with a prolonged expiry date as category-2. Not like the traditional assumption which exists in the literature, the items in category-1 are purchased for a low price and stored in RW. Items of category-2 are stored in OW. Due to short expiry, demands are satisfied from RW first. The items in the RW are drained out and reach zero prior to the expiry date of the item due to expiry date dependent deterioration and constant demand. At the same time, the items in the OW are decreasing due to exponential demand and constant deterioration. All customers are backlogged during the stock out period and slotted into three intervals. The finite number of JIT purchases is employed to satisfy the backlogged slotted demands which are prior to the last slot. We optimize the total cost of the entire replenishment cycle, RW utility and total items purchased. Model illustrated with an appropriate numerical example and extensive sensitive analysis done on the system's performance.

    Keywords: Warehouse, Inventory, Just-in-time purchases, Backlog, Expiry date

    Received: 01 Apr 2024; Accepted: 13 Jan 2025.

    Copyright: © 2025 Thilagavathi, Viswanath, J, Salunkhe and Mahdal. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Sachin Salunkhe, Gazi University, Ankara, Türkiye

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