Abstract We consider a device that is designed to perform missions consisting of a random sequence of phases or stages with random durations. The mission process is described by a Markov renewal process and the system is a complex one consisting of a number of components whose lifetimes depend on the phases of the mission. We discuss models and tools to compute system, mission, and phase reliabilities using Markov renewal theory. A simplified model involving a mission-based system with maximal repair is analyzed first, and the results are then extended to the case where there is no repair using intrinsic aging concepts. Our objective is to focus on computation of system reliability for these two possible extreme cases.

中文翻译：

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半马尔可夫任务的可靠性

摘要 我们考虑一种旨在执行由具有随机持续时间的随机阶段或阶段组成的任务的设备。任务过程由马尔可夫更新过程描述，系统是一个复杂的系统，由许多组件组成，这些组件的生命周期取决于任务的阶段。我们讨论了使用马尔可夫更新理论计算系统、任务和相位可靠性的模型和工具。首先分析了一个包含最大修复任务的系统的简化模型，然后将结果扩展到使用内在老化概念没有修复的情况。我们的目标是专注于计算这两种可能的极端情况的系统可靠性。