Parameter estimation methods for condition-based maintenance with indirect observations

IEEE Transactions on Reliability

Volumn 59, Issue 2, 2010, Pages 426-439

  Ghasemi, Alireza ^a   Yacout, Soumaya ^a   Ouali, M Salah ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Condition based maintenance (CBM); Condition monitoring; Hidden Markov model; Maximum likelihood estimation; Parameter estimation; Time dependent proportional hazardsmodel

Indexed keywords

CONDITION BASED MAINTENANCE (CBM); CONDITION-BASED MAINTENANCE; DEGRADATION STATE; ESTIMATION METHODS; FAILURE RATE; MEASUREMENT INSTRUMENTS; PARAMETER ESTIMATION METHOD; PROBABILITY MATRIXES; PROPORTIONAL HAZARDS; PROPORTIONAL HAZARDS MODEL; SIMULATION STUDIES; TIME TO FAILURE; TIME-DEPENDENT; UNOBSERVABLE;

CONDITION MONITORING; DEGRADATION; HIDDEN MARKOV MODELS; INSTRUMENT ERRORS; MAINTENANCE; MEASUREMENT ERRORS; METAL ANALYSIS; OBJECT RECOGNITION; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; SECURITY OF DATA;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 77953095960     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2010.2048736     Document Type: Article

References (28)

1. D. R. Cox, "Regression models and life tables (with discussion)," Journal of the Royal Statistical Society-Series B, vol.26, 1972.
2. J. Crowley and M. Hu, "Covariance analysis of heart transplant survival data," Journal of American Statistical Association, vol.72, pp. 27-36, 1977.
3. L. M. Leemis, Reliability- Probabilistic Models and Strategical Methods. Engelwood Cliffs, New Jersey: Prentice all, Inc., 1995.
4. A. K. S. Jardine and M. Anderson, "Use of concomitant variables for reliability estimation," Maintenance Management International, vol.5, pp. 135-140, 1985.
5. A. K. S. Jardine, P. M. Anderson, and D. S. Mann, "Application of the Weibull proportional hazards model to aircraft and marine engine failure data," Quality and Reliability Engineering International, vol.3, pp. 77-82, 1987.
6. A. K. S. Jardine, D. Banjevic, M. Wiseman, S. Buck, and T. Joseph, "Optimizing a mine haul truck wheel motors' condition monitoring program," Journal of Quality in Maintenance Engineering, vol.7, pp. 286-301, 2001.
7. D. Kumar and U. Westberg, "Proportional hazards modeling of time-dependent covariates using linear regression: A case study," IEEE Trans. Reliability, vol.45, pp. 386-392, 1996.
8. J. I. Ansell and M. J. Phillips, "Practical aspects of modeling of repairable systems data using proportional hazard models," Reliability Engineering and System Safety, vol.58, pp. 165-171, 1997.
9. I. J. Jozwiak, "Introduction to the studies of reliability of systems using the Weibull proportional hazards model," Microelectronics and Reliability, vol.37, pp. 915-918, 1997.
10. V. Makis and A. K. S. Jardine, "Computation of optimal policies in replacement models," IMA Journal of Mathematics Applied in Business & Industry, vol.3, 1992.
11. W.Wang and A. H. Christer, "Towards a general condition based maintenance model for a stochastic dynamic system," Journal of the Operational Research Society, vol.51, pp. 145-155, 2000.
12. V. Makis and X. Jiang, "Optimal replacement under partial observations," Mathematics of Operations Research, vol.28, pp. 382-394, 2003.
13. A. Ghasemi, S. Yacout, and M. S. Ouali, "Optimal condition based maintenance with imperfect information and the proportional hazards model," International Journal of Production Research, vol.45, pp. 989-1112, 2007.
14. E. A. Elsayed and C. K. Chan, "Estimation of thin-oxide reliability using proportional hazards models," IEEE Trans. Reliability, vol.39, pp. 329-335, 1990.
15. D. Banjevic, A. K. S. Jardine, V. Makis, and M. Ennis, "A control-limit policy and software for condition-based maintenance optimization," INFOR Journal, vol.39, pp. 32-50, 2001.
16. D. R. Cox, "Partial likelihood," Biometrica, vol.62, pp. 269-276, 1975.
17. R. Kay, "Goodness of fit methods for the proportional Hazards Regression model : A review," Revue d'épidémiologie et de santé publique, vol.32, pp. 185-198, 1984.
18. J. D. Kalbfleisch and R. L. Prentice, The Statistical Analysis of Failure Time Data. New York: Wiley, 1980.
19. D. Lin, D. Banjevic, and A. K. S. Jardine, "Using principal components in a proportional hazards model with application in condition-based maintenance," Journal of the Operational Research Society, vol.2005.
20. I. V. Basawa and P. Rao, Statistical Inference for Stochastic Processes. London: Academic Press, 1980.
21. E. Fernandez-Gaucherand, "Analysis of an adaptive control scheme for a partially observed controlled Markov chain," IEEE Trans. Automatic Control, vol.38, pp. 987-993, 1993.
22. D. Lin and V. Makis, "Recursive filters for a partially observable system subject to random failure," Adv. Appl. Prob., vol.35, pp. 207-227, 2003.
23. D. Lin and V. Makis, "On-line parameter estimation for a failure-prone system subject to condition monitoring," Journal of Applied Probability, vol.41, pp. 1-10, 2004.
24. L. Adjengue and S. Yacout, "Parameters estimation for condition based maintenance with Uncorrelated and Correlated Observations," Quality Engineering, vol.19, pp. 197-206, 2005.
25. M. J. Box, D. Davies, and W. H. Swann, Non-Linear Optimisation Techniques. London: Oliver & Boyd, 1969.
26. W. H. Press, W. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes Third Edition. New York: Cambridge University Press, 2007.
27. S.-L. Ao, M. Amouzegar, and S.-S. Chen, Current Themes in Engineering Technologies. : American Institute of Physics, 2008.
28. G. A. Mirham, Simulation Statistical Foundations and Methodology. : Academic Press, 1972.