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Mission reliability of semi-Markov systems under generalized operational time requirements

机译：广义运行时间要求下半马尔可夫系统的任务可靠性

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Mission reliability of a system depends on specific criteria for mission success. To evaluate the mission reliability of some mission systems that do not need to work normally for the whole mission time, two types of mission reliability for such systems are studied. The first type corresponds to the mission requirement that the system must remain operational continuously for a minimum time within the given mission time interval, while the second corresponds to the mission requirement that the total operational time of the system within the mission time window must be greater than a given value. Based on Markov renewal properties, matrix integral equations are derived for semi-Markov systems. Numerical algorithms and a simulation procedure are provided for both types of mission reliability. Two examples are used for illustration purposes. One is a one-unit repairable Markov system, and the other is a cold standby semi-Markov system consisting of two components. By the proposed approaches, the mission reliability of systems with time redundancy can be more precisely estimated to avoid possible unnecessary redundancy of system resource. (C) 2015 Elsevier Ltd. All rights reserved.
机译：系统的任务可靠性取决于任务成功的特定标准。为了评估某些不需要在整个任务时间内正常工作的任务系统的任务可靠性，研究了此类系统的两种类型的任务可靠性。第一种对应于任务要求，即系统必须在给定的任务时间间隔内保持最短时间连续运行，而第二种对应于任务要求，即系统在任务时间窗口内的总运行时间必须更长比给定值基于马尔可夫更新性质，推导了半马尔可夫系统的矩阵积分方程。为两种类型的任务可靠性提供了数值算法和仿真程序。两个示例用于说明目的。一个是一个单元可修复的马尔可夫系统，另一个是由两个组件组成的冷备用半马尔可夫系统。通过提出的方法，可以更精确地估计具有时间冗余的系统的任务可靠性，以避免可能的系统资源不必要的冗余。 （C）2015 Elsevier Ltd.保留所有权利。

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