Reliability analysis using ageing intensity function

Ageing intensity (AI) function analyzes the ageing property of a system quantitatively. We study the behavior of a few generalized Weibull models and some system properties in terms of AI function. We establish that AI function provides a major and altogether a new role in studying system’s ageing behavior from reliability perspective.

[1]  K. Siegrist,et al.  Relative Aging of Distributions , 1998, Probability in the Engineering and Informational Sciences.

[2]  Hoang Pham,et al.  On Recent Generalizations of the Weibull Distribution , 2007, IEEE Transactions on Reliability.

[3]  K. Grace,et al.  Probabilistic Reliability: An Engineering Approach , 1968 .

[4]  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..

[5]  Benjamin Gompertz,et al.  XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c , 1825, Philosophical Transactions of the Royal Society of London.

[6]  Min Xie,et al.  Relative ageing for two parallel systems and related problems , 2003 .

[7]  Min Xie,et al.  Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function , 1996 .

[8]  J. C. Helton The engineering statistician's guide to continuous bivariate distributions: T.P. Hutchinson and C.D. Lai. Rumsby Scientific Publishing, Adelaide, Australia, 1991. ISBN-0-646-02413-2 , 1993 .

[9]  S. Alam,et al.  Properties of aging intensity function , 2007 .

[10]  Moshe Shaked,et al.  INTRINSIC AGING AND CLASSES OF NONPARAMETRIC DISTRIBUTIONS , 2009, Probability in the Engineering and Informational Sciences.

[11]  D. N. Prabhakar Murthy,et al.  A modified Weibull distribution , 2003, IEEE Trans. Reliab..

[12]  K. Phani,et al.  A New Modified Weibull Distribution Function , 1987 .

[13]  Chin-Diew Lai,et al.  Useful periods for lifetime distributions with bathtub shaped hazard rate functions , 2006, IEEE Transactions on Reliability.

[14]  R. Jiang,et al.  Aging property of unimodal failure rate models , 2003, Reliab. Eng. Syst. Saf..

[15]  W. Weibull A Statistical Distribution Function of Wide Applicability , 1951 .

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

[17]  Jayant V. Deshpande,et al.  SOME RESULTS ON THE RELATIVE AGEING OF TWO LIFE DISTRIBUTIONS , 1994 .

[18]  W. Lacourse,et al.  The Strength of Glass , 1972 .