An Inventory Model for Non-Instantaneous Deteriorating Products having Price Sensitive Demand and Partial Backlogging of Occurring Shortages

摘要

In today's competitive market, there are some products which maintain their quality for a certain period of time and after that deterioration occurs in such products, so the assumption that products begin to deteriorate as they are received in stock is not true in general. This paper presents an EOQ model for non-instantaneous deteriorating items having price-sensitive demand with partially backlogged shortages. The backlogging rate is assumed to be time dependent. This paper aids the retailer in maximizing the unit time profit by finding optimal selling price and optimal time interval. Finally, a numerical example with sensitivity analysis is given to demonstrate the developed model.