Residual life estimation based on a generalized Wiener degradation process

Reliability Engineering and System Safety

Volumn 124, Issue , 2014, Pages 13-23

  Wang, Xiaolin ^a   Balakrishnan, Narayanaswamy ^b   Guo, Bo ^a  

^a NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Degradation; Maximum likelihood; MCMC; Residual life; Wiener process

Indexed keywords

DEGRADATION; MAXIMUM LIKELIHOOD; QUALITY ASSURANCE; SAFETY ENGINEERING;

ANALYTICAL APPROXIMATION; DEGRADATION CHARACTERISTICS; MAINTENANCE DECISION MAKING; MARKOV CHAIN MONTE CARLO METHOD; MAXIMUM LIKELIHOOD APPROACHES; MCMC; RESIDUAL LIFE; WIENER PROCESS;

PROBABILITY DENSITY FUNCTION;

EID: 84890444142     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2013.11.011     Document Type: Article

References (41)

1. H. Wang A survey of maintenance policies of deteriorating systems Eur J Oper Res 139 3 2002 469 489
2. R. Ahmad, and S. Kamaruddin An overview of time-based and condition-based maintenance in industrial application Comput Ind Eng 63 1 2012 135 149
3. W. Wang, and A.H. Christer Towards a general condition based maintenance model for a stochastic dynamic system J Oper Res Soc 51 2 2000 145 155
4. A.K.S. Jardine, D. Lin, and D. Banjevic A review on machinery diagnostics and prognostics implementing condition-based maintenance Mech Syst Signal Process 20 7 2006 1483 1510
5. A.H. Elwany, and N.Z. Gebraeel Sensor-driven prognostic models for equipment replacement and spare parts inventory IIE Trans 40 7 2008 629 639
6. K.A. Kaiser, and N.Z. Gebraeel Predictive maintenance management using sensor-based degradation models IEEE Trans Syst, Man, Cybern-Part A: Syst Hum 39 4 2009 840 849
7. A.H. Elwany, N.Z. Gebraeel, and L.M. Maillart Structured replacement policies for components with complex degradation processes and dedicated sensors Oper Res 59 3 2011 684 695
8. Z. Ye, Y. Shen, and M. Xie Degradation-based burn-in with preventive maintenance Eur J Oper Res 221 2 2012 360 367
9. N.Z. Gebraeel, M.A. Lawley, R. Li, and J.K. Ryan Residual-life distributions from component degradation signals: a bayesian approach IIE Trans 37 6 2005 543 557
10. W.B. Wang, M. Carr, W.J. Xu, and A.K. Kobbacy A model for residual life prediction based on brownian motion with an adaptive drift Microelectron Reliab 51 2 2010 285 293
11. G. Jin, D.E. Matthews, and Z. Zhou A bayesian framework for on-line degradation assessment and residual life prediction of secondary batteries in spacecraft Reliab Eng Syst Saf 113 2013 7 20
12. X.S. Si, W.B. Wang, C.H. Hu, and D.H. Zhou Remaining useful life estimation - a review on the statistical data driven approaches Eur J Oper Res 213 1 2011 1 14
13. W.B. Wang A model to predict the residual life of rolling element bearings given monitored condition information to date IMA J Manag Math 13 1 2002 3 16
14. D. Banjevic Remaining useful life in theory and practice Metrika 69 2 2009 337 349
15. Z.J. Zhou, C.H. Hu, D.L. Xu, M.Y. Chen, and D.H. Zhou A model for real-time failure prognosis based on hidden markov model and belief rule base Eur J Oper Res 207 1 2010 269 283
16. J. Noortwijk A survey of the application of gamma processes in maintenance Reliab Eng Syst Saf 94 1 2009 2 21
17. S.T. Tseng, J. Tang, and L.H. Ku Determination of optimal burn-in parameters and residual life for highly reliable products Nav Res Logist 50 1 2003 1 14
18. C.Y. Peng, and S.T. Tseng Mis-specification analysis of linear degradation models IEEE Trans Reliab 58 3 2009 444 455
19. C.C. Tsai, S.T. Tseng, and N. Balakrishnan Mis-speciïcation analyses of gamma and Wiener degradation processes J Stat Plan Inference 141 12 2011 3725 3735
20. C. Guo, W. Wang, B. Guo, and X. Si A maintenance optimization model for mission-oriented systems based on Wiener degradation Reliab Eng Syst Saf 111 2013 183 194
21. G.A. Whitmore Estimating degradation by a Wiener diffusion process subject to measurement error Lifetime Data Anal 1 3 1995 307 319
22. G.A. Whitmore, and F. Schenkelberg Modelling accelerated degradation data using Wiener diffusion with a time scale transformation Lifetime Data Anal 3 1 1997 27 45
23. X. Wang Wiener processes with random effects for degradation data J Multivar Anal 101 2 2010 340 351
24. C. Park, and W.J. Padgett Accelerated degradation models for failure based on geometric brownian motion and gamma processes Lifetime Data Anal 11 4 2005 511 527
25. A. Elwang, and N.Z. Gebraeel Real-time estimation of mean remaining life using sensor-based degradation models J Manuf Sci Eng 131 5 2009 0510051 0510059
26. X.S. Si, W. Wang, C.H. Hu, D.H. Zhou, and M.G. Pecht Remaining useful life estimation based on a nonlinear diffusion degradation process IEEE Trans Reliab 61 1 2012 50 67
27. S. Tseng, and C. Peng Stochastic diffusion modeling of degradation data J Data Sci 5 3 2007 315 333
28. K. Le Son, M. Fouladirad, A. Barros, E. Levrat, and B. Iung Remaining useful life estimation based on stochastic deterioration models: a comparative study Reliab Eng Syst Saf 112 2013 165 175
29. Wang X, Jiang P, Guo B, Cheng Z. Real-time reliability evaluation with a general Wiener process-based degradation model. Quality and reliability engineering international 2013, http://dx.doi.org/10.1002/qre.1489.
30. J.C. Lu, and W.Q. Meeker Using degradation measures to estimate a time-to-failure distribution Technometrics 35 2 1993 161 174
31. J. Lawless, and M. Crowder Covariates and random effects in a gamma process model with application to degradation and failure Lifetime Data Anal 10 3 2004 213 227
32. M. Crowder, and J. Lawless On a scheme for predictive maintenance Eur J Oper Res 176 3 2007 1713 1722
33. C.T. Barker, and M.J. Newby Optimal non-periodic inspection for a multivariate degradation model Reliab Eng Syst Saf 94 1 2009 33 43
34. X. Wang, and D. Xu An inverse gaussian process model for degradation data Technometrics 52 2 2010 188 197
35. D.H. Zhou, and P.M. Frank Strong tracking filtering of nonlinear time-varying stochastic systems with colored noise: application to parameter estimation and empirical robustness analysis Int J Control 65 2 1996 295 307
36. X.S. Si, W.B. Wang, C.H. Hu, M.Y. Chen, and D.H.A. Zhou Wiener-process-based degradation model with a recursive filter algorithm for remaining useful life estimation Mech Syst Signal Process 35 1 2012 219 237
37. I. Ntzoufras Bayesian modeling using winbugs 2009 John Wiley & Sons Hoboken
38. W.Q. Meeker, and L.A. Escobar Statistical methods for reliability data 1998 John Wiley & Sons New York
39. Z. Pan, N. Balakrishnan, Q. Sun, and J. Zhou Bivariate degradation analysis of products based on Wiener processes and copulas J Stat Comput Simul 83 7 2013 1316 1329
40. B.R. Ellingwood, and Y. Mori Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear power plants Nucl Eng Des 142 2 1993 155 166
41. E. Cinlar, Z.P. Bazant, and E. Osman Stochastic process for extrapolating concrete creep J Eng Mech Div 103 6 1977 1069 1088