Study on lead time control chart in multi-stage manufacturing systems

Considering the lead time control problem of multi-stage manufacturing systems, a new queuing system based on multi-stage manufacturing systems is developed, in which the manufacturing times are exponentially distributed. By using the total probability decomposition and Markov process method, the lead time distribution function is obtained. Then, the lead time control chart is proposed using the time between events control chart, and the center line and control limits for the lead time are achieved by above method. Numerical examples show that the lead time can be well monitored by the lead time control charts.