Classification and inventory control of spare parts based on compound Poisson Demand

In continuous production enterprises, spare parts are the guarantee for the production and operation. However, the distribution of spare parts demand is uncertain due to the nature of spare parts demand, which is usually intermittent, slow-moving and erratic. This paper proposes a spare parts scheme based on probability distribution by combining spare parts distributional assumptions with spare parts classification, and uses the Kolmogorov-Smirnov (K-S) goodness-of-fit test to verify the validity of the scheme. After that, on the basis of classification and adopting the order-up-to-level policy, a cost-oriented inventory model with random lead time was constructed for spare parts based on different compound Poisson distributions. And through examples, the effectiveness of the spare parts classification scheme based on probability distribution in reducing costs is further verified.