An algorithm for mean residual life computation of (n - k + 1)-out-of-n systems: An application of exponentiated Weibull distribution

Abstract In this paper, we establish an algorithm for the computation of the mean residual life of a (n − k + 1)-out-of-n system in the case of independent but not necessarily identically distributed lifetimes of the components. An application for the exponentiated Weibull distribution is given to study the effect of various parameters on the mean residual life of the system. Also the relationship between the mean residual life for the system and that of its components is investigated.

[1]  Frederick E. Petry,et al.  Principles and Applications , 1997 .

[2]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[3]  Ravindra B. Bapat,et al.  Order statistics for nonidentically distributed variables and permanents , 1989 .

[4]  Deo Kumar Srivastava,et al.  The exponentiated Weibull family: a reanalysis of the bus-motor-failure data , 1995 .

[5]  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.

[6]  Thong Ngee Goh,et al.  On changing points of mean residual life and failure rate function for some generalized Weibull distributions , 2004, Reliab. Eng. Syst. Saf..

[7]  Manisha Pal,et al.  Exponentiated Weibull distribution , 2006 .

[8]  Majid Asadi,et al.  On the Mean Residual Life Function of Coherent Systems , 2008, IEEE Transactions on Reliability.

[9]  Selma Gurler,et al.  Parallel and k-out-of-n: G systems with nonidentical components and their mean residual life functions , 2009 .

[10]  G. Arulmozhi.  Direct method for reliability computation of k-out-of-n: G systems , 2003, Appl. Math. Comput..

[11]  Chin-Diew Lai,et al.  MEAN RESIDUAL LIFE AND OTHER PROPERTIES OF WEIBULL RELATED BATHTUB SHAPE FAILURE RATE DISTRIBUTIONS , 2004 .

[12]  R. Jiang,et al.  The exponentiated Weibull family: a graphical approach , 1999 .

[13]  G. Arulmozhi,et al.  Exact equation and an algorithm for reliability evaluation of K-out-of-N: G system , 2002, Reliab. Eng. Syst. Saf..

[14]  M. Nassar,et al.  On the Exponentiated Weibull Distribution , 2003 .

[15]  G. S. Mudholkar,et al.  Exponentiated Weibull family for analyzing bathtub failure-rate data , 1993 .

[16]  Loon Ching Tang,et al.  A Model for Upside-Down Bathtub-Shaped Mean Residual Life and Its Properties , 2009, IEEE Transactions on Reliability.