Economic order quality model with immediate return for defective items

[[abstract]]In practice, due to the increasingly exerted power of retailers, the limited inventory space of retail stores, or the strict quality requirement of customers, the screened imperfective items of several products may be returned to the supplier immediately. The main purpose of the paper is to investigate an EOQ model with immediate return for defective items. First, we construct the model in terms of annual profit and find the optimal order quantity with a constant defective rate. Next, we determine the optimal order quantity for the case that the defective rate follows a uniform distribution by maximizing the expected annual profit. For this case, two properties of the optimal order quantity are given. Finally, a numerical example is provided to illustrate the proposed model