Optimizing inventory dynamics: a smart approach for non-instantaneous deteriorating items with linear time function dependent variable demands and holding costs, shortages with backlogging

This study presents an economic production quantity (EPQ) model designed specifically for managing non-instantaneous linear deteriorating items characterized by linear time-dependent variable demands, linear time-dependent holding costs, and shortages with fully backlogged orders. The model considers the dynamic nature of item deterioration and demand patterns over time, providing a more realistic depiction of inventory systems. By incorporating fully backlogged orders, the model offers a nuanced approach to addressing shortages, contributing to a comprehensive understanding of inventory dynamics. The proposed EPQ model offers flexibility and adaptability to various scenarios, providing valuable insights for inventory management strategies. Through systematic analysis, the study aims to optimize the balance between total variable cost, ordering cost, holding cost, shortage cost, and deterioration costs, thereby enhancing operational efficiency and cost-effectiveness in inventory systems dealing with non-instantaneous linear deteriorating items and variable linear demands over time. The research findings have practical implications for industries handling Agricultural produce or time-sensitive goods, facilitating informed decision-making in inventory management.