输入随机的不可靠串行生产线的反馈控制

Feedback Control of Serial Production Line with Unreliable Workstations and Random Input

对于具有随机输入和随机需求的一类串行生产线系统 ,利用转移率一致化技术和随机动态规划方法 ,给出了输入率和服务率分配的最优反馈控制策略 ,指出系统的最优控制具有邦—邦形式的开关结构。

The considered serial production line consists of possibly unreliable workstations, whose inputs may be random. The optimal input and service feedback control policy are derived by using the uniformization technique and stochastic dynamic programming. It is shown that the optimal policy is of bang-band type. Simulation examples are given to illustrate the results.