Eoq analysis for linearly deteriorating items with linear demand and time dependent partial backlogging
This paper develops an Economic Order Quantity (EOQ) model that incorporates three realistic features of modern inventory systems: linear time-dependent demand, linear deterioration of stocked items, and a partial backlogging rate that varies with waiting time. Many traditional EOQ models assume constant demand and exponential deterioration, which limits their applicability to industries where consumption patterns grow steadily and items deteriorate at a proportional rate.