Modelos de tamaño del lote con demanda parcialmente satisfecha

Abstract

We study EOQ inventory models where, during the stockout period, a proportion of the demand is lost and the rest is filled with the next order. We suppose that the fraction of backlogged demand is described by a function which depends on the amount of time a customer waits before receiving the good. The objective consists of determining the lot size which maximizes the profit per unit time. This average profit is calculated by the revenues obtained by the sales and the costs of purchasing, holding, backlogging, losing and ordering. The unit purchasing cost is known and constant, the holding cost is a linear function based on average inventory level and the order cost is fixed regardless of the lot size. The unit shortage costs are affine functions, which depend on the time the customers have to wait until the arrival of the next order. A procedure is presented to characterize the optimal replenishment policy and the associate maximum profit. This work extends several inventory models studied by other authors.