In this paper, reliability of some typical non-Markov repairable systems, including series systems, m-out-of- n or majority vote systems, and n : m cross-strapping standby redundant systems with general repair-time di...In this paper, reliability of some typical non-Markov repairable systems, including series systems, m-out-of- n or majority vote systems, and n : m cross-strapping standby redundant systems with general repair-time distribution, are studied by applying the generalized Markov renewal process (GMRP). The stochastic behavior of the typical systems is analyzed here. Formulas for mean time to first system failure, MTBF, MTTR, and availability are then developed.展开更多
Compared with the classical Markov repairable system, the Markov repairable system with stochastic regimes switching introduced in the paper provides a more realistic description of the practical system. The system ca...Compared with the classical Markov repairable system, the Markov repairable system with stochastic regimes switching introduced in the paper provides a more realistic description of the practical system. The system can be used to model the dynamics of a repairable system whose performance regimes switch according to the external conditions. For example, to satisfy the demand variation that is typical for the power and communication systems and reduce the cost, these systems usually adjust their operating regimes. The transition rate matrices under distinct operating regimes are assumed to be different and the sojourn times in distinct regimes are governed by a finite state Markov chain. By using the theory of Markov process, Ion channel theory, and Laplace transforms, the up time of the system are studied. A numerical example is given to illustrate the obtained results. The effect of sojourn times in distinct regimes on the availability and the up time are also discussed in the numerical example.展开更多
提出并讨论了以下命题:对串联可修系统,系统稳态可用度等于各部件稳态可用度乘积;对并联可修系统,系统稳态不可用度等于各部件稳态不可用度乘积。基于 n 个不同部件串联可修系统和三个不同部件的并联可修系统模型,对上述命题进行了证明...提出并讨论了以下命题:对串联可修系统,系统稳态可用度等于各部件稳态可用度乘积;对并联可修系统,系统稳态不可用度等于各部件稳态不可用度乘积。基于 n 个不同部件串联可修系统和三个不同部件的并联可修系统模型,对上述命题进行了证明并确认了其适用范围,对多部件串联系统,一个修理工,考虑多部件同时故障的概率;对多部件并联系统,修理工数目与部件数目相等。最后尝试将该命题推广到可修系统瞬态可用度的计算,并举例进行了对比。展开更多
基金This work is supported by Openning Laboratory of Complex System Control,Institute of Automation, Academia Sinica
文摘In this paper, reliability of some typical non-Markov repairable systems, including series systems, m-out-of- n or majority vote systems, and n : m cross-strapping standby redundant systems with general repair-time distribution, are studied by applying the generalized Markov renewal process (GMRP). The stochastic behavior of the typical systems is analyzed here. Formulas for mean time to first system failure, MTBF, MTTR, and availability are then developed.
基金supported by the National Natural Science Foundation of China (71071020 60705036)Beijing Excellent Doctoral Dissertation Instructor Project of Humanities and Social Sciences(yb20091000701)
文摘Compared with the classical Markov repairable system, the Markov repairable system with stochastic regimes switching introduced in the paper provides a more realistic description of the practical system. The system can be used to model the dynamics of a repairable system whose performance regimes switch according to the external conditions. For example, to satisfy the demand variation that is typical for the power and communication systems and reduce the cost, these systems usually adjust their operating regimes. The transition rate matrices under distinct operating regimes are assumed to be different and the sojourn times in distinct regimes are governed by a finite state Markov chain. By using the theory of Markov process, Ion channel theory, and Laplace transforms, the up time of the system are studied. A numerical example is given to illustrate the obtained results. The effect of sojourn times in distinct regimes on the availability and the up time are also discussed in the numerical example.
文摘提出并讨论了以下命题:对串联可修系统,系统稳态可用度等于各部件稳态可用度乘积;对并联可修系统,系统稳态不可用度等于各部件稳态不可用度乘积。基于 n 个不同部件串联可修系统和三个不同部件的并联可修系统模型,对上述命题进行了证明并确认了其适用范围,对多部件串联系统,一个修理工,考虑多部件同时故障的概率;对多部件并联系统,修理工数目与部件数目相等。最后尝试将该命题推广到可修系统瞬态可用度的计算,并举例进行了对比。
