Batch Size and Stocking Levels in Multi-Echelon Repairable Systems
研究多级可修库存系统中，当订单设置成本高或需求率高时，如何确定最优的订单批量规模和各级库存水平，通过幂近似和单次搜索法有效求解，并用900个测试案例验证了方法的有效性。
In multi-echelon repairable inventory systems with high set-up cost for order and/or high demand rates, the use of batch ordering may be more cost-effective than the common (S − 1, S) ordering policy. This paper addresses the issue of determining the optimal order batch size and stocking levels at the stocking locations in such a system. A power approximation is used to estimate the total system stock and backorder levels from which the optimal batch size can be readily determined. A search routine involving “one-pass” searches are then followed to obtain the stocking levels at the depot and the local sites of the system. This procedure has been evaluated using 900 test cases and has been found to be very effective. The power approximation approach also results in a simple analytical relationship to test whether or not (S − 1, S) is an optimal ordering policy for repairable items in a multi-echelon environment.