On the mean residual life of a generalized k-out-of-n system

ABSTRACT A generalized k-out-of-n system consists of N modules in which the i th module is composed of ni components in parallel. The system failswhen at least f components in the whole system or at least k consecutive modules have failed. In this article, we obtain the mean residual life function of such a generalized k-out-of-n system under different conditions, namely, when the number of components in each module is equal or unequal and when the components of the system are independent or exchangeable.

[1]  M. Asadi,et al.  On the mean residual lifetime of consecutive k-out-of-n systems , 2012 .

[2]  Serkan Eryilmaz.  Dynamic behavior of k-out-of-n: G systems , 2011, Oper. Res. Lett..

[3]  Tzu-Hui Huang,et al.  Reliability of a 2-Dimensional k -Within-Consecutive- r× s -out-of- m× n : F System Using Finite Markov Chains , 2010, IEEE Trans. Reliab..

[4]  Serkan Eryilmaz.  Conditional Lifetimes of Consecutive k -Out-of- n Systems , 2010, IEEE Trans. Reliab..

[5]  Serkan Eryilmaz,et al.  Consecutive k-within-m-out-of-n:F system with exchangeable components , 2009 .

[6]  Serkan Eryilmaz.  Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components , 2009, Reliab. Eng. Syst. Saf..

[7]  Taha Radwan,et al.  Reliability evaluation of multi-state consecutive k-out-of-r-from-n : G system , 2007 .

[8]  Albert F. Myers,et al.  k-out-of-n: G System Reliability With Imperfect Fault Coverage , 2007, IEEE Trans. Reliab..

[9]  Serkan Eryilmaz,et al.  Mean Residual Lifetimes of Consecutive-k-out-of-n Systems , 2007, Journal of Applied Probability.

[10]  Serkan Eryilmaz.  On the Lifetime Distribution of Consecutive $k{\hbox{-}}{\hbox{out}}{\hbox{-}}{\hbox{of}}{\hbox{-}}n:{\rm F}$ System , 2007, IEEE Transactions on Reliability.

[11]  S. Eryilmaz.  On the Lifetime Distribution of Consecutive -out-of-n: F System , 2007, IEEE Trans. Reliab..

[12]  Majid Asadi,et al.  The mean residual life function of a k-out-of-n structure at the system level , 2006, IEEE Transactions on Reliability.

[13]  Lirong Cui,et al.  On a generalized k-out-of-n system and its reliability , 2005, Int. J. Syst. Sci..

[14]  H. N. Nagaraja,et al.  Order Statistics, Third Edition , 2005, Wiley Series in Probability and Statistics.

[15]  Ming Jian Zuo,et al.  Reliability evaluation of combined k-out-of-n: F, consecutive-k-out-of-n: F and linear connected-(r, s)-out-of-(m, n): F system structures , 2000, IEEE Trans. Reliab..

[16]  Lirong Cui,et al.  Reliabilities for (n,f,k) systems , 1999 .