A Stochastic Partial Backorder Inventory Model with a Backorder Ratio Depending on Backorder periods

부재고기간(負在庫期間)에 의존하는 부재고비율(負在庫比率)을 갖는 확률적(確率的) 부분부재고(部分負在庫)모델

This paper presents a stochastic partial backorder inventory model for the situation in which demand follows normal distribution and back order ratio during that stockout period decreases exponentially according to the length of backorder period. In the paper, an objective function is formulated to minimize the average annual cost, which is the sum of the ordering, carrying, time-proportional backordering, and lost sales cost. And then sensitivity analysis for various exponential backorder ratios and standard deviations of leadtime demand are presented. The inventory model in the paper is reduced to a backorder model and lost sales model, when backorder ratio is 1 and 0, respectively.