Inventory Models with a Mixture of Backorders and Lost Sales.

摘要

The article presents several single-echelon, single-item, static demand inventory models for situations in which, during the stockout period, a fraction b of the demand is backordered and the remaining fraction 1 - b is lost forever. Both deterministic and stochastic demand are considered, although the case of stochastic demand is treated heuristically. In each situation, a mathematical model representing the average annual cost of operating the inventory system is developed, and an optimum operating policy derived. At the extremes B = 1 and b = 0 the models presented reduce to the usual backorders and lost sales cases, respectively. (Author)