Availability of an operating system during a given time interval: A dynamic programming approach
研究如何最大化一个单单元故障系统在预设时间区间内持续运行或至少在某时刻运行的概率，通过动态规划得到闭式解。
We consider the problem of running a one-unit failure system such that the probability that the system is operating over an entire prespecified time interval (or at least at some time instant during the interval) is maximized. A fixed number of unused units having identically distributed random operating times are at the controller's disposal. Simple assumptions are made on the stochastic failure mechanism. In particular, the time required to activate a unit for the system is supposed to be constant. Analyzing the associated dynamic programming equations yields closed-form solutions. © 1996 John Wiley & Sons, Inc.