Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks

European Journal of Operational Research

Volumn 218, Issue 1, 2012, Pages 140-151

  Huynh, K T ^a   Castro, I T ^b   Barros, A ^a   Berenguer C ^a,c  

^a UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c GIPSA LAB   (France)

Author keywords

Age replacement policy; Dynamic environment; Gamma process; Minimal repairs; Non homogeneous Poisson process; Random inspection

Indexed keywords

AGE REPLACEMENT POLICY; DYNAMIC ENVIRONMENT; GAMMA PROCESS; MINIMAL REPAIR; NON-HOMOGENEOUS POISSON PROCESS;

COSTS; DEGRADATION; POISSON DISTRIBUTION; TURNAROUND TIME;

REPAIR;

EID: 83955165309     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2011.10.025     Document Type: Article

References (47)

1. A. Jeang Tool replacement policy for probabilistic tool life and random wear process Quality and Reliability Engineering International 15 3 1999 205 212 (Pubitemid 129587720)
2. J. Van Noortwijk, and H. Klatter Optimal inspection decisions for the block mats of the eastern-scheldt barrier Reliability Engineering & System Safety 65 3 1999 203 211
3. W. Hopp, and Y. Kuo An optimal structured policy for maintenance of partially observable aircraft engine components Naval Research Logistics 45 4 1998 335 352 (Pubitemid 128587337)
4. H. Hong Inspection and maintenance planning of pipeline under external corrosion considering generation of new defects Structural Safety 21 3 1999 203 222 (Pubitemid 29483875)
5. A. Lehmann Joint modeling of degradation and failure time data Journal of Statistical Planning and Inference 139 5 2009 1693 1706
6. M. Pandey, X. Yuan, J. van Noortwijk, Gamma process model for reliability analysis and replacement of aging structural components, in ICOSSAR 2005, pp. 2439-2444, 2005.
7. J. Van Noortwijk, Optimal replacement decisions for structures under stochastic deterioration, in Proceedings of the Eighth IFIP WG 7, pp. 273-280, 1998.
8. C. Barker, and M. Newby Optimal non-periodic inspection for a multivariate degradation model Reliability Engineering & System Safety 94 1 2009 33 43
9. C. Bérenguer, A. Grall, L. Dieulle, and M. Roussignol Maintenance policy for a continuously monitored deteriorating system Probability in the Engineering and Informational Sciences 17 2 2003 235 250 (Pubitemid 36891743)
10. A. Grall, L. Dieulle, C. Bérenguer, and M. Roussignol Continuous-time predictive-maintenance scheduling for a deteriorating system IEEE Transactions on Reliability 51 2 2002 141 150 (Pubitemid 34924185)
11. N. Singpurwalla Survival in dynamic environments Statistical Science 10 1 1995 86 103
12. A. Lemoine, and M. Wenocur On failure modeling Naval Research Logistics Quarterly 32 3 1985 497 508
13. E. Deloux, B. Castanier, and C. Bérenguer Predictive maintenance policy for a gradually deteriorating system subject to stress Reliability Engineering & System Safety 94 2 2009 418 431
14. W. Li, and H. Pham An inspection-maintenance model for systems with multiple competing processes IEEE Transactions on Reliability 54 2 2005
15. J. Van Noortwijk, J. Van der Weide, M. Kallen, and M. Pandey Gamma processes and peaks-over-threshold distributions for time-dependent reliability Reliability Engineering & System Safety 92 12 2007 1651 1658 (Pubitemid 47088939)
16. R. Barlow, and L. Hunter Optimum preventive maintenance policies Operations Research 8 1 1960 90 100
17. T. Nakagawa A summary of periodic replacement with minimal repair at failure Journal of the Operations Research Society of Japan 24 3 1981 213 227
18. M. Finkelstein Some notes on two types of minimal repair Advances in Applied Probability 24 1 1992 226 228
19. F. Beichelt A unifying treatment of replacement policies with minimal repair Naval Research Logistics 40 1 1993 51 67 (Pubitemid 23695480)
20. T. Aven, and U. Jensen A general minimal repair model Journal of Applied Probability 37 1 2000 187 197
21. R. Zequeira, and C. Bérenguer Periodic imperfect preventive maintenance with two categories of competing failure modes Reliability Engineering & System Safety 91 4 2006 460 468 (Pubitemid 43031349)
22. D. Bocchetti, M. Giorgio, M. Guida, and G. Pulcini A competing risk model for the reliability of cylinder liners in marine diesel engines Reliability Engineering & System Safety 94 8 2009 1299 1307
23. C. Blain, A. Barros, A. Grall, Y. Lefebvre, Modelling of stress corrosion cracking with stochastic processes - application to steam generators, in Risk, Reliability and Societal Safety, Proceedings of the European Safety and Reliability Conference, pp. 25-27, 2007.
24. E. Cinlar, E. Osman, and Z. Bazoant Stochastic process for extrapolating concrete creep Journal of the Engineering Mechanics Division 103 6 1977 1069 1088 (Pubitemid 8549896)
25. D. Frangopol, M. Kallen, and J. Van Noortwijk Probabilistic models for life-cycle performance of deteriorating structures: Review and future directions Progress in Structural Engineering and Materials 6 4 2004 197 212
26. M. Abdel-Hameed A gamma wear process IEEE transactions on Reliability 24 2 1975 152 153
27. J. Van Noortwijk A survey of the application of gamma processes in maintenance Reliability Engineering & System Safety 94 1 2009 2 21
28. R. Nicolai, Maintenance models for systems subject to measurable deterioration. PhD thesis, Erasmus University Rotterdam-Timbergen Institude, The Netherlands.
29. X. Yuan, Stochastic modeling of deterioration in nuclear power plant components, Ph.D thesis, University of Waterloo, Ontario, Canada.
30. K.T. Huynh, A. Barros, C. Bérenguer, and I.T. Castro A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events 96 4 2010 497 508
31. B.V. Gnedenko, and V.Y. Korolev Random summation: limit theorems and applications 1996 CRC Press
32. H. Tijms A first course in stochastic models 2003 Wiley New York
33. K.T. Huynh, A. Barros, C. Bérenguer, and I.T. Castro, Value of condition monitoring information for maintenance decision-making, in Proceedings: Annual Reliability & Maintainability Symposium, pp. 543-548, 2010.
34. L. Mann, A. Saxena, and G. Knapp Statistical-based or condition-based preventive maintenance Journal of Quality in Maintenance Engineering 1 1 1995 46 59
35. M. Rausand, and A. Høyland System Reliability Theory: Models, Statistical Methods, and Applications 2004 Wiley New York
36. M. Berman Inhomogeneous and modulated gamma process Biometrica 68 1 1981 143 152
37. R.E. Barlow, and F. Proschan Mathematical Theory of Reliability Classics in Applied Mathematics Vol. 17 1996 SIAM
38. N. Singpurwalla Gamma Processes and Their Generalizations: An Overview R. Cooke, M. Mendel, H. Vrijling, Engineering Probabilistic Design and Maintenance for Flood Protection Vol. 01 1997 Kluwer Academic Publishers Dordrecht 67 75
39. R.A. Dagg, Optimal Inspections and Maintenance for stochastically deteriorating systems, PhD thesis, The city University, London,1999.
40. W.J. Hopp, and S.C. Wu Multiaction Maintenance under Markovian Deterioration and Incomplete State Information Naval Research Logistics 35 1988 447 462
41. W. Stadje, and D. Zuckerman Optimal maintenance strategies for repairable systems with general degree of repair Journal of Applied Probability 28 1991 384 396
42. R.M. Feldman Optimal replacement with semi-Markov shock models Journal of Applied Probabbility 13 1976 108 117
43. E.P. C Kao Optimal replacement rules when changes of states are semi-markovian Operations Research 21 1973 1231 1249
44. P. Koselar Minimal cost replacement under Markovian deterioration Operations Research 12 9 1966 694 706
45. C.T. Lam, and R.H. Yeh Optimal replacement policies for deteriorating systems under various maintenance strategies IEEE Transactions on Reliability 43 1994 423 430
46. K.S. So Optimality of control limit policies in replacement models Naval Research Logistics 39 1992 685 697
47. T. Nakagawa Maintenance Theory of Reliability Springer Series in Reliability Engineering 2005 Springer