An EOQ model for deteriorating item with ramp type linear time dependent demand and time dependent partial backorder Online publication date: Fri, 07-Feb-2025
by Prokash Mondal; Asim Kumar Das; Tapan Kumar Roy; Surajit Naskar
International Journal of Operational Research (IJOR), Vol. 52, No. 2, 2025
Abstract: In this present article we have developed an economic order quantity (EOQ) model over a finite time horizon for an item with a liner time dependent demand rate with constant rate of deterioration in consideration of shortages (SFI policy) in inventory under permissible delay in payments and partial backlogging. Studied witnessed that the demand always play a pivot role in the inventory model, due to COVID crisis there is a shift in the paradigm on the demand characteristics. This model studied the shifting demand rate after stock out period. Mathematical models are also developed under two distinct circumstances, i.e., case 1: the trade credit is before the stock out period and case 2: the trade credit scheduled after stock out period. The results are illustrated with numerically and graphically. The sensitivity analysis of key parameters of the optimal solution has also been conducted to study the effect of the parameter.
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