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Dynamic assessment of multi-state systems using phase-type modeling

机译：使用相位类型建模的多状态系统动态评估

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Multi-state systems have attracted great attention due to their wide applications in engineering. They have been effectively used in modeling various systems such as power supply systems and transportation systems. In this paper, phase type modeling is proposed for dynamic assessment of nonrepairable multi-state systems when the system degrades According to a Markov process. The utility of phase type modeling is demonstrated in the computation of mean lifetimes, mean residual lifetimes, and derivation of survival functions of series and parallel systems. A stochastic comparison result between two systems is also obtained using phase representations of survival functions. Extensive numerical results are presented to illustrate the applicability of the approach. (C) 2015 Elsevier Ltd. All rights reserved.
机译：多状态系统由于在工程中的广泛应用而引起了极大的关注。它们已有效地用于对各种系统（例如电源系统和运输系统）进行建模。在本文中，提出了相位类型建模，用于在系统根据马尔可夫过程退化时对不可修复的多状态系统进行动态评估。在计算平均寿命，平均剩余寿命以及推导串联和并联系统的生存函数时，证明了相类型建模的实用性。还使用生存函数的相位表示获得了两个系统之间的随机比较结果。大量的数值结果被提出来说明该方法的适用性。 （C）2015 Elsevier Ltd.保留所有权利。

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