Performance Evaluation of a Multi-Part JIT Production System

Under stochastic demand and deterministic processing times, we discussed a single-part JIT production system with the production-ordering and supplier Kanbans and derived the stationary distributions of the backlogged demand. In this paper, we extend the system to a multi-part JIT production system, deterministic processing times and withdrawals with lead time. These conditions are more realistic than the previous papers. We formulate the system and show that a shortage of some parts degrades the performance of the system in full production case. A part with the minimum average number of supplier Kanbans which has great influence on the performance is especially focused. Moreover, the occurrence probability of backlogged demand is calculated and the importance of increasing the number of Kanbans of the parts with the minimum average number of supplier Kanbans is shown by using simulation.