有限分布信息条件下MTO再制造系统提前期优化

在只知道零部件再制造时间有限分布信息（即一阶矩、二阶矩）条件下，基于MTO再制造策略研究由再制件和采购件组成的再制品的提前期问题，该问题被描述为一个矩问题。以最小化库存持有成本和缺货成本为目标建立min-max优化模型，在具有相同一阶矩、二阶矩的分布集合中寻找使最坏分布下的目标函数值最小的最优再制造提前期。最后通过算例进行了验证，求解结果与传统假设再制造时间服从正态分布、均匀分布得到的结果吻合较好，但本文的方法更符合生产实际，能保证在具有同样一阶矩和二阶矩的所有分布情况下的解的鲁棒性，对企业制定再制造计划、采购计划等具有现实的指导意义。

Lead Time Determination in a Make-to-order Remanufacturing System with Limited Distribution Information

A make-to-order remanufacturing system which is driven by customer orders is considered in this paper. In this system, in order to reassemble a finished product, two parts, one of which is from outside supplier and the other one is from reprocessing workshop, are needed. The remanufacturing time to obtain a reusable remanufactured part is random due to the different quality of the disassembled parts and the distribution f is not known but only the first and second moment. The objective is to examine the remanufacturing time to determine the planned lead time of this remanufacturing system. This considered problem is described as a moment problem. A min-max model is developed to minimize the inventory holding cost and stockout cost and further solved by duality theorem, which provides better results when compared to the traditional Normal and Uniform approximation through numerical examples. The results of this study capture well all distributions with the same first and second moment and accords with practice more and are helpful to the production planning and scheduling of remanufacturing in practice.