Lz - transform for A Discrete-state Continuous-time Markov Process and Its Application to Dynamic Multi-state System Reliability Analyses

摘要：

During last years a specific approach called the universal generating function (UGF) technique has been widely applied to MSS reliability analysis. The UGF technique allows one to find the entire MSS performance distribution based on the performance distributions of its elements using algebraic procedures. But the main restriction of this powerful technique is that theoretically it may be only applied to random variables and, so, concerning MSS reliability, it operates with only steady-states performance distributions. In order to extend the UGF technique application to dynamic MSS reliability analysis in the paper is introduced a special transform for a discrete-states continuous-time Markov process that is called Lz-transform. The transform was mathematically defined, its main properties were study, and numerical example illustrates its benefits for dynamic MSS reliability assessment.

关键词： Discrete-state continuous-time Markov process universal generating function multi-state system reliability

作者: ANATOLY LISNIANSKI

作者单位: The Israel Electric Corporation Ltd

会议类型: 国际会议

会议名称: The 7th Inyernational Conference on Mathematical Methods in Reliability:Theory,Methods,Applications(第七届国际可靠性数学、理论、方法与应用会议 MMR2011)

会议地点: 北京

会议语种:英文

页码: 368-374

在线出版日期: 2011-06-20（万方平台首次上网日期，不代表论文的发表时间）