Modeling the evolution of system reliability performance under alternative environments
Modeling the evolution of system reliability performance under alternative environments
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DOI：
10.1080/0740817x.2010.551758
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
A. Hawkes;L. Cui;Zhihua Zheng
中科院分区：
文献类型：
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作者：
A. Hawkes;L. Cui;Zhihua Zheng
由有限状态马尔可夫过程表示的系统在两种交替状态下运行的动力学，例如，白天/夜晚，机器工作/机器空闲等，在本文中建模。在这两种状态下的转移率矩阵通常是不同的。而且，被认为是令人满意的系统的状态的集合可以取决于操作中的机制：例如，在白天可以被认为是令人满意的系统的特定状态在晚上可能不被容忍（例如，汽车的前灯不工作）。它是假设政权持续时间是随机变量，并获得这样一个系统的可用性和正常运行时间的概率分布的结果。结果和数值例子也给出了两种特殊情况下：（i）当政权是固定的持续时间;（ii）当政权持续时间有负指数分布。
The dynamics of a system represented by a finite-state Markov process operating under two alternating regimes, for example, day/night, machine working/machine idling, etc., are modeled in this article. The transition rate matrices under the two regimes will usually be different. Also, the set of states of the system that are regarded as satisfactory may depend on the regime in operation: for example, a particular state of the system that may be regarded as satisfactory by day might not be tolerated at night (e.g., the headlights on a car not working). It is assumed that the regime durations are random variables and results are obtained for the availability of such a system and probability distributions for uptimes. Results and numerical examples are also given for two special cases: (i) when the regimes are of fixed duration; and (ii) when the regime durations have negative exponential distributions.