Mission reliability of semi-Markov systems under generalized operational time requirements
Mission reliability of semi-Markov systems under generalized operational time requirements
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DOI：
10.1016/j.ress.2015.04.002
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发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
Xiaoyue Wu;J. Hillston
中科院分区：
文献类型：
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作者：
Xiaoyue Wu;J. Hillston
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，研究了这类系统的两种任务可靠性。第一种类型对应于特派团要求，即系统必须在给定的任务时间间隔内连续运行一段最短时间，而第二种类型对应于特派团要求，即系统在任务时间窗口内的总运行时间必须大于给定值。基于马尔可夫更新性质，给出了半马尔可夫系统的矩阵积分方程组。给出了这两种任务可靠性的数值算法和仿真程序。为了说明起见，我们使用了两个例子。一个是一部件可修马尔可夫系统，另一个是由两个部件组成的冷贮备半马尔可夫系统。通过提出的方法，可以更准确地估计具有时间冗余的系统的任务可靠性，从而避免可能出现的系统资源不必要的冗余。
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 resources.