Abstract: 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.

Key words: limited distribution, moment problems, make-to-order, remanufacturing lead time