The timed Petri net model initially analyzes the throughput and equipment utilization using Markov theory . However this method may have trouble when the Markov equation is used with complex manufacturing systems .

基于此模型，利用 Markov理论分析了系统的生产率和设备利用率，该方法在用于复杂 系统时会导致Markov方程求解困难。