Manuscript Title:

A DUAL-WAREHOUSE APPROACH FOR MANAGING PERISHABLE INVENTORY UNDER REALISTIC OPERATIONAL CONDITIONS

Author:

PUNEET KUMAR, ABHINAV SAXENA, KAMESH KUMAR

DOI Number:

DOI:10.5281/zenodo.15788612

Published : 2025-07-10

About the author(s)

1. PUNEET KUMAR - Research Scholar, Faculty of Engineering, Teerthanker Mahaveer University, Moradabad, India.
2. ABHINAV SAXENA - Associate Professor, Faculty of Engineering, Teerthanker Mahaveer University, Moradabad, India.
3. KAMESH KUMAR - Assistant Professor, Faculty of Engineering, Teerthanker Mahaveer University, Moradabad, India.

Full Text : PDF

Abstract

Inventory control under uncertain and time-varying demand is one of the most important issues in supply chain systems. In this research, a new two-warehouse inventory model with a realistic S-shaped demand function following the logistic growth pattern and a linear deterioration rate is introduced. In contrast to conventional models with constant or exponentially changing demand, the logistic curve employed here reflects the natural growth pattern of product demand—increasing slowly, accelerating at a middle point, and finally saturating. The structure of the model also represents real-world operations where demand is met by a rented warehouse initially and then shifts to an owned warehouse when the rented inventory is depleted. To properly model inventory behavior, the model is written in terms of differential equations that respond both to demand and degradation over time (time 𝑡). A complete numerical example is given, followed by sensitivity analysis that shows the effect of variations in demand intensity (parameter 𝐿) on total inventory cost. The findings show a strong negative correlation between rising demand and efficiency of cost, with the exponential function 𝑒 𝑘𝑡𝑜 having a major effect on total expenses. This model adds to the literature by providing a more flexible inventory control framework that allows for strategic warehouse decisions and cost-efficient stock replenishment under uncertain demand scenarios.


Keywords

Exponential Function, Inventory Cost, Linear Deterioration, Supply Chain Systems, S-Shaped Demand.