Grey repairable system analysis

In this paper, we systematically discuss the basic concepts of grey theory, particularly the grey differential equation and its mathematical foundation, which is essentially unknown in the reliability engineering community. Accordingly, we propose a small-sample based approach to estimate repair improvement effects by partitioning system stopping times into intrinsic functioning times and repair improvement times. An industrial data set is used for illustrative purposes in a stepwise manner.

[1]  Zhe George Zhang,et al.  A discrete semi-Markov decision model to determine the optimal repair/replacement policy under general repairs , 2000, Eur. J. Oper. Res..

[2]  E. Love,et al.  RELIABILITY MODELLING WITH FUZZY COVARIATES , 2003 .

[3]  H. Ascher,et al.  Towards Practical and Synthetical Modelling of Repairable Systems , 2001 .

[4]  C. E. Love,et al.  Linear-spline approximation for semi-parametric modeling of failure data with proportional hazards , 1996, IEEE Trans. Reliab..

[5]  Yi Lin,et al.  An Introduction to Grey Systems: Foundations, Methodology and Applications , 2003 .

[6]  C. E. Love,et al.  Application of Weibull proportional hazards modelling to bad-as-old failure data , 1991 .

[7]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[8]  C. E. Love,et al.  Simulating nonhomogeneous poisson processes with proportional intensities , 1994 .

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

[10]  Renkuan Guo.  INTERVAL-VALUED FUZZY SET MODELLING OF SYSTEM RELIABILITY , 2004 .

[11]  C. E. Love,et al.  Utilizing Weibull Failure Rates in Repair Limit Analysis for Equipment Replacement/Preventive Maintenance Decisions , 1996 .

[12]  Fan Xin-hai.  The Improved Grey Prediction GM (1,1) Model and Its Application , 2003 .

[13]  C. E. Love,et al.  Using proportional hazard modelling in plant maintenance , 1991 .

[14]  C. E. Love,et al.  Simulation strategies to identify the failure parameters of repairable systems under the influence of general repair , 1994 .

[15]  J. Deng,et al.  Introduction to Grey system theory , 1989 .