An EOQ model with partial backordering and advance payments for an evaporating item

In the classic Economic Order Quantity model the purchasing cost of an order is paid at the time of its receipt. In some cases retailers ask purchasers to pay all or a fraction of the purchasing cost in advance and may allow them to divide the prepayment into several equal-sized parts. In this paper, an economic order quantity model for an evaporating item with partial backordering and partial consecutive prepayments is developed with a real case study of a gasoline station. Real numerical examples illustrate the proposed model and the solution method.