Exact reliability of generalized multi-state consecutive- k -out-of- n system

摘要：

Most study on consecutive- k -out-of- n system is in the binary context, the system is failed if and only if at least k consecutive components are failed. The new definitions of generalized multi-state consecutive- k -out-of-n: F and G systems is given by Huang 12. In this paper, by using the finite Markov chain imbedding approach, we present a unified formula with the product of matrices for evaluating the system state distribution for any generalized multi-state consecutive- k -out-of- n: G system, which includes the decreasing multi-state G system, the increasing multi-state G system, and non-monotonic multi-state G system.

关键词： consecutive- k -out-of- n system multi-state system finite Markov chain imbedding approach system state distribution

作者: XIAN ZHAO YU XU FANGYU LIU

作者单位: School of Management & Economics, Beijing Institute of Technology, Beijing, P. R. China, 100081

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: 159-163

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）