Modelling repairable systems with an early life under competing risks and asymmetric virtual age

In this paper, complex repairable systems presenting infant failures are considered. Different maintenance activities can be carried out such as corrective maintenances and planned preventive maintenances. The maintenance process is described using the competing risks framework under imperfect maintenance. Asymmetric virtual age models are assumed to characterize the maintenance efficiency. Statistical inference procedures are developed considering whether or not the causes of failure are recorded. Properties of the model are presented along with numerical estimations and an application to real data.

[1]  Gianpaolo Pulcini,et al.  Modeling the failure data of a repairable equipment with bathtub type failure intensity , 2001, Reliab. Eng. Syst. Saf..

[2]  D. N. Prabhakar Murthy,et al.  A study of Weibull shape parameter: Properties and significance , 2011, Reliab. Eng. Syst. Saf..

[3]  K. S. Wang,et al.  Modeling the bathtub shape hazard rate function in terms of reliability , 2002, Reliab. Eng. Syst. Saf..

[4]  Olivier Gaudoin,et al.  Imperfect maintenance in a generalized competing risks framework , 2006, Journal of Applied Probability.

[5]  Maxim Finkelstein,et al.  On some models of general repair , 1993 .

[6]  Bo Henry Lindqvist,et al.  Statistical Modeling and Analysis of Repairable Systems , 2006, 0708.0362.

[7]  Laurent Doyen,et al.  An example of integrated approach to technical and economic optimization of maintenance , 2013, Reliab. Eng. Syst. Saf..

[8]  M. Crowder.  Classical Competing Risks , 2001 .

[9]  G. Celeux,et al.  An alternative competing risk model to the Weibull distribution for modelling aging in lifetime data analysis , 2006, Lifetime data analysis.

[10]  H. Pham,et al.  Invited reviewImperfect maintenance , 1996 .

[11]  N. Jack,et al.  Age-reduction models for imperfect maintenance , 1998 .

[12]  Roger M. Cooke,et al.  Concepts for measuring maintenance performance and methods for analysing competing failure modes , 1997 .

[13]  J. Sethuraman,et al.  Nonparametric estimation for a general repair model , 1997 .

[14]  Yann Dijoux.  A virtual age model based on a bathtub shaped initial intensity , 2009, Reliab. Eng. Syst. Saf..

[15]  Richard E. Barlow,et al.  Stochastic Ageing and Dependence for Reliability , 2006 .

[16]  Laurent Doyen,et al.  Modeling and Assessment of Aging and Efficiency of Corrective and Planned Preventive Maintenance , 2011, IEEE Transactions on Reliability.

[17]  Shaomin Wu,et al.  Preventive Maintenance Models: A Review , 2011 .

[18]  Laurent Doyen,et al.  Classes of imperfect repair models based on reduction of failure intensity or virtual age , 2004, Reliab. Eng. Syst. Saf..

[19]  L. Doyen.  Asymptotic properties of imperfect repair models and estimation of repair efficiency , 2010 .

[20]  Yann Dijoux,et al.  Classes of Virtual Age Models Adapted to Systems With a Burn-In Period , 2013, IEEE Transactions on Reliability.

[21]  Gilles Celeux,et al.  An alternative competing risk model to the Weibull distribution in lifetime data analysis , 2004 .

[22]  Masaaki Kijima,et al.  Periodical replacement problem without assuming minimal repair , 1988 .

[23]  C. E. Love,et al.  Statistical analysis of an age model for imperfectly repaired systems , 1992 .

[24]  Tim Bedford,et al.  The identifiability problem for repairable systems subject to competing risks , 2004, Advances in Applied Probability.

[25]  Maxim Finkelstein,et al.  Burn-in and imperfect preventive maintenance strategies for warranted products , 2011 .

[26]  L. Doyen.  On the Brown–Proschan model when repair effects are unknown , 2011 .