Condition-based inspection/replacement policies for non-monotone deteriorating systems with environmental covariates

Reliability Engineering and System Safety

Volumn 95, Issue 8, 2010, Pages 921-934

  Zhao, Xuejing ^a,b   Fouladirad, Mitra ^a   Bérenguer, Christophe ^a   Bordes, Laurent ^c  

^a UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

^b LANZHOU UNIVERSITY   (China)

^c UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

Adaptive maintenance policy; Condition based maintenance; Covariates; Deteriorating system; Expected average cost; Markov chain; Proportional hazards model

Indexed keywords

CHAINS; COSTS; DETERIORATION; HAZARDS; MARKOV PROCESSES; RANDOM PROCESSES; STOCHASTIC SYSTEMS;

ADAPTIVE MAINTENANCE; AVERAGE COST; CONDITION BASED MAINTENANCE; COVARIATES; DETERIORATING SYSTEM; PROPORTIONAL HAZARDS MODEL;

MAINTENANCE;

EID: 78751683851     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2010.04.005     Document Type: Article

References (32)

1. Wang H. A survey of maintenance policies of deteriorating systems. European Journal of Operational Research 2002; 139(3): 469-89. (Pubitemid 34249626)
2. Berenguer C, Grall A, Dieulle L, Roussignol M. Maintenance policy for a continuously monitored deteriorating system. Probability in the Engineering and Informational Sciences 2003; 17(2): 235-50. (Pubitemid 36891743)
3. Lawless J, Crowder M. Covariates and random effects in a gamma process model with application to degradation and failure. Lifetime Data Analysis 2004; 10(3): 213-27. (Pubitemid 39073123)
4. Dieulle L, Berenguer C, Grall A, Roussignol M. Asymptotic failure rate of a continuously monitored system. Reliability Engineering and System Safety 2006; 91(2): 126-30. (Pubitemid 41394411)
5. van Noortwijk JM. A survey of the application of gamma processes in maintenance. Reliability Engineering and System Safety 2009; 94(1): 2-21.
6. van Noortwijk JM, Cooke RM, Kok M. A Bayesian failure model based on isotropic deterioration. European Journal of Operational Research 1995; 82(2): 270-82.
7. Castanier B, Berenguer C, Grall A. A sequential condition-based repair/replacement policy with non-periodic inspections for a system subject to continuous wear. Applied Stochastic Models Business and Industry 2003; 19(4): 327-47.
8. Deloux E, Castanier B, Berenguer C. Predictive maintenance policy for a gradually deteriorating system subject to stress. Reliability Engineering and System Safety 2009; 94(2): 418-31.
9. Newby M, Barker CT. A bivariate process model for maintenance and inspection planning. International Journal of Pressure Vessels and Piping 2006; 83(4): 270-5.
10. Barker C, Newby M. Optimal non-periodic inspection for multivariate degradation model. Reliability Engineering and System Safety 2009; 94(1): 33-43.
11. Revuz D, Yor M. Continuous martingales and Brownian motion. A series of comprehensive studies in mathematics, 3rd ed. vol. 293. Berlin Heidelberg: Springer-Verlag; 2005.
12. Cox D. Regression models and life-tables. Journal of the Royal Statistical Society. Series B (Methodological) 1972; 34(2): 187-220.
13. Newby M. Perspective on weibull proportional-hazards model. IEEE Transactions on Reliability 1994; 43(2): 217-23.
14. Singpurwalla ND. Survival in dynamic environments. Statistical Science 1995; 1(10): 86-103.
15. Bagdonavicius V, Nikulin M. Estimation in degradation models with explanatory variables. Lifetime Data Analysis 2000; 7(1): 85-103.
16. Makis V, Jardine A. Optimal replacement in the proportional hazards model. INFOR 1992; 30(1): 172-83.
17. Deloux E, Castanier B, Berenguer C. An adaptive condition-based maintenance policy with environmental factors. In: Kallen MJ, Kuniewski SP, editors. Risk and decision analysis in maintenance optimization and flood management. Delft, The Netherlands: IOS Press; 2009. p. 137-48.
18. Park KS. Optimal continuous-wear limit replacement under periodic inspections. IEEE Transactions on Reliability 1988; 37(1): 97-102.
19. Kong MB, Park KS. Optimal replacement of an item subject to cumulative damage under periodic inspections. Microelectronics Reliability 1997; 37(3): 467-72. (Pubitemid 127420804)
20. Newby M, Dagg R. Optimal inspection and maintenance for stochastically deteriorating systems II: discounted cost criterion. Journal of Indian Statistical Association 2003; 41(1): 9-27.
21. Jia X, Christer AH. A prototype cost model of functional check decisions in reliability-centred maintenance. Journal of the Operational Research Society 2002; 53(12): 1380-4. (Pubitemid 35468893)
22. Grall A, Berenguer C, Dieulle L A condition-based maintenance policy for stochastically deteriorating systems. Reliability Engineering and System Safety 2002; 76(2): 167-80. (Pubitemid 34524751)
23. Dieulle L, Berenguer C, Grall A, Roussignol M. Sequential condition-based maintenance scheduling for a deteriorating system. European Journal of Operational Research 2003; 150(2): 451-61.
24. Bordes L, Gaiizere F. Modelisation des trajectoires de degradation a partir de modeles quasi-statiques. Technical Report, Universite de Technologie de Compiegne; 2004 (in French).
25. Sen A, Balakrishnan N. Convolution of geometrics and a reliability problem. Statistics & Probability Letters 1999; 43(4): 421-6.
26. Johnson L, Kotz S, Balakrishnan N. Continuous univariate distributions, 2nd ed., vol. 1. New York: Wiley; 1994.
27. Newby M, Dagg R. Optimal inspection and maintenance for stochastically deteriorating systems I: average cost criteria. Journal of Indian Statistical Association 2002; 40(2): 169-98.
28. Rausand M, Høyland A. System reliability theory: models, statistical methods, and applications. In: Wiley series in probability and mathematics, 2nd ed. New Jersey: John Wiley & Sons; 2004.
29. Ross SM. Stochastic processes. Wiley series in probability and statistics. New York: John Wiley & Sons, Inc.; 1996.
30. Cocozza-Thivent C. Processus stochastiques et fiabilite des systemes, Mathematiques Applications, vol. 28. Berlin Heidelberg: Springer-Verlag; 1997.
31. Asmussen S. Applied probability and queues, applications of mathematics-stochastic modelling and applied probability, 2nd ed. vol. 51. New York: Springer-Verlag; 2003.
32. Grall A, Berenguer C, Dieulle L Continuous-time predictive-maintenance scheduling for a deteriorating system. IEEE Transactions on Reliability 2002; 51(2): 141-50. (Pubitemid 34924185)