Inventory Control in Multi-Echelon Divergent Systems with Random Lead Times

摘要

This paper deals with integral inventory control in multi-echelon divergentsystems with stochastic lead times. The policy considered is an echelon stock, periodic review, order-up-to (R, S) policy. A computational method is derived to obtain the order-up-to level and the allocation fractions required to achieve given target fill rates. Extensive numerical experimentation shows that the accuracy of the authors' approximate method is satisfactory. Further, the authors show that variation in the lead times may have a significant effect on the stock levels required to achieve given target fill rates, hence this variation may not be ignored. Also, it appears that the correlation structure in the lead times may have a significant impact as well.