Optimal maintenance policies for systems subject to a Markovian operating environment

Computers and Industrial Engineering

Volumn 62, Issue 1, 2012, Pages 190-197

  Xiang, Yisha ^a   Cassady, C Richard ^b   Pohl, Edward A ^b  

^a SUN YAT SEN UNIVERSITY   (China)

^b 3202 Bell Engineering Center   (United States)

Author keywords

Condition based maintenance; Dynamic environment; Stochastic degradation

Indexed keywords

CONDITION BASED MAINTENANCE; CONDITION-BASED MAINTENANCE POLICY; COST BENEFITS; CUMULATIVE DEGRADATION; DYNAMIC ENVIRONMENT; FAILURE DISTRIBUTIONS; MARKOVIAN; OPERATING ENVIRONMENT; OPTIMAL MAINTENANCE POLICIES; PHYSICS OF FAILURES; RANDOM THRESHOLD; REPAIRABLE SYSTEMS; RESIDUAL LIFE DISTRIBUTION; SCHEDULED MAINTENANCE; SIMULATION MODEL; SIMULATION-BASED; SINGLE-COMPONENT SYSTEMS; STOCHASTIC DEGRADATION; SYSTEM CONDITIONS; TIME TO FAILURE;

COMPUTER SIMULATION; DEGRADATION; DETERIORATION; PLANNING; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; WEIBULL DISTRIBUTION;

MAINTENANCE;

EID: 82755160649     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2011.09.006     Document Type: Article

References (54)

1. O.O. Aalen, and K.G. Hakon Understanding the shape of the hazard rate: A process point of view Statistical Science 16 1 2001 1 14
2. M. Alardhi, and A.W. Labib Preventive maintenance scheduling of multi-cogeneration plants using integer programming Journal of the Operational Research Society 59 4 2008 503 509 (Pubitemid 351438521)
3. J. Arora Introduction to optimum design 2004 Academic Press
4. M.S. Bazaraa, H.D. Sherali, and C.M. Shetty Nonlinear programming: Theory and algorithms 2006 LibreDigital
5. S. Bloch-Mercier A preventive maintenance policy with sequential checking procedure for a Markov deteriorating system European Journal of Operational Research 142 3 2002 548 576 (Pubitemid 34863171)
6. M. Boulanger, and L.A. Escobar Experimental design for a class of accelerated degradation tests Technometrics 36 3 1994 260 272
7. G. Budai, D. Huisman, and R. Dekker Scheduling preventive railway maintenance activities Journal of the Operational Research Society 57 2006 1035 1044 (Pubitemid 44231536)
8. S.P. Canto Application of Benders' decomposition to power plant preventive maintenance scheduling European Journal of Operational Research 184 2 2008 759 777 (Pubitemid 47374392)
9. Carrasco, M.; & Cassady, C. R. (2006, 23-26 January 2006). A study of the impact of prognostic errors on system performance. Paper presented at the reliability and maintainability symposium, 2006. RAMS′06. Annual.
10. C.-T. Chen, Y.-W. Chen, and J. Yuan On a dynamic preventive maintenance policy for a system under inspection Reliability Engineering and System Safety 80 1 2003 41 47
11. P. Chien-Yu, and T. Sheng-Tsaing Progressive-stress accelerated degradation test for highly-reliable products Reliability, IEEE Transactions on 59 1 2010 30 37
12. T. Chih-Chun, T. Sheng-Tsaing, and N. Balakrishnan Optimal burn-in policy for highly reliable products using gamma degradation process Reliability, IEEE Transactions on 60 1 2011 234 245
13. D.I. Cho, and M. Parlar A survey of maintenance models for multi-unit systems European Journal of Operational Research 51 1 1991 1 23 (Pubitemid 21730858)
14. A.N. Das, and D. Acharya Age replacement of components during IFR delay time Reliability, IEEE Transactions on 53 3 2004 306 312
15. L. Dieulle, C. Bérenguer, A. Grall, and M. Roussignol Sequential condition-based maintenance scheduling for a deteriorating system European Journal of Operational Research 150 2 2003 451 461
16. A.H. Elwany, and N. Gebraeel Sensor-driven prognostic models for equipment replacement and spare parts inventory IIE Transactions 40 7 2008 629 639 (Pubitemid 351638554)
17. A.H. Elwany, N. Gebraeel, and L.M. Maillart Structured replacement policies for components with complex degradation processes and dedicated sensors Operations Research 59 2011 684 695
18. N.R. Farnum, and P. Booth Uniqueness of maximum likelihood estimators of the 2-parameter Weibull distribution Reliability, IEEE Transactions on 46 4 1997 523 525 (Pubitemid 127827235)
19. A. Grall, C. Bérenguer, and L. Dieulle A condition-based maintenance policy for stochastically deteriorating systems Reliability Engineering and System Safety 76 2 2002 167 180 (Pubitemid 34524751)
20. A. Grall, L. Dieulle, C. Bérenguer, and M. Roussignol Asymptotic failure rate of a continuously monitored system Reliability Engineering and System Safety 91 2 2006 126 130 (Pubitemid 41394411)
21. Jardine, A. K. S. (2002). Optimizing condition based maintenance decisions. Paper presented at the reliability and maintainability symposium, 2002. Proceedings. Annual.
22. V.R. Joseph, and I.T. Yu Reliability improvement experiments with degradation data Reliability, IEEE Transactions on 55 1 2006 149 157 (Pubitemid 43380163)
23. K.A. Kaiser, and N.Z. Gebraeel Predictive maintenance management using sensor-based degradation models Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on 39 4 2009 840 849
24. W.D. Kelton, and A.M. Law Simulation modeling and analysis Vol. 2 2000 McGraw Hill
25. J.P. Kenné, A. Gharbi, and M. Beit Age-dependent production planning and maintenance strategies in unreliable manufacturing systems with lost sale European Journal of Operational Research 178 2 2007 408 420 (Pubitemid 44750478)
26. J.P. Kharoufeh Explicit results for wear processes in a Markovian environment Operations Research Letters 31 3 2003 237 244
27. J. Kharoufeh, and S. Cox Stochastic models for degradation-based reliability 1 IIE Transactions 37 6 2005 533
28. J.P. Kharoufeh, and D.G. Mixon On a Markov modulated shock and wear process Naval Research Logistics (NRL) 56 6 2009 563 576
29. J.P. Kharoufeh, C.J. Solo, and M.Y. Ulukus Semi-Markov models for degradation-based reliability IIE Transactions 42 8 2010 599 612
30. M. Kurt, and J.P. Kharoufeh Monotone optimal replacement policies for a Markovian deteriorating system in a controllable environment Operations Research Letters 38 4 2010 273 279
31. A.M. Law, and J.S. Carson A sequential procedure for determining the length of a steady-state simulation Operations Research 27 5 1979 1011 1025
32. Liao, H. T.; & Rausch, M. (2010). Spare part inventory control driven by condition based maintenance. In Annual reliability and maintainability symposium, 2010 Proceedings.
33. H. Liao, E.A. Elsayed, and L.-Y. Chan Maintenance of continuously monitored degrading systems European Journal of Operational Research 175 2 2006 821 835 (Pubitemid 44345072)
34. J. Lu, and W.Q. Meeker Using degradation measures to estimate a time-to-failure distribution Technometrics 35 2 1993 161 174
35. W.Q. Meeker, L.A. Escobar, and C.J. Lu Accelerated degradation tests: Modeling and analysis Technometrics 40 2 1998 89 99 (Pubitemid 128633092)
36. K.S. Moghaddam, and J.S. Usher Sensitivity analysis and comparison of algorithms in preventive maintenance and replacement scheduling optimization models Computers and Industrial Engineering 61 1 2011 64 75
37. J.F. Monahan Numerical methods of statistics 2001 Cambridge University Press Cambridge, New York
38. Z. Pan, and N. Balakrishnan Reliability modeling of degradation of products with multiple performance characteristics based on gamma processes Reliability Engineering and System Safety 96 8 2011 949 957
39. S. Panagiotidou, and G. Tagaras Optimal preventive maintenance for equipment with two quality states and general failure time distributions European Journal of Operational Research 180 1 2007 329 353 (Pubitemid 46123861)
40. C. Park, and W. Padgett Accelerated degradation models for failure based on geometric Brownian motion and gamma processes Lifetime Data Analysis 11 4 2005 511 527 (Pubitemid 41660811)
41. W.P. Pierskalla, and J.A. Voelker A survey of maintenance models: The control and surveillance of deteriorating systems Naval Research Logistics Quarterly 23 3 1976 353 388
42. M. Samrout, E. Châtelet, R. Kouta, and N. Chebbo Optimization of maintenance policy using the proportional hazard model Reliability Engineering and System Safety 94 1 2009 44 52
43. Y.S. Sherif, and M.L. Smith Optimal maintenance models for systems subject to failure - A review Naval Research Logistics Quarterly 28 1 1981 47 74 (Pubitemid 11489880)
44. X.-S. Si, W. Wang, C.-H. Hu, and D.-H. Zhou Remaining useful life estimation - A review on the statistical data driven approaches European Journal of Operational Research 213 1 2011 1 14
45. N.D. Singpurwalla Survival in dynamic environments Statistical Science 10 1 1995 86 103
46. C. Valdez-Flores, and R.M. Feldman A survey of preventive maintenance models for stochastically deteriorating single-unit systems Naval Research Logistics (NRL) 36 4 1989 419 446 (Pubitemid 20625232)
47. J.A.M. van der Weide, and M.D. Pandey Stochastic analysis of shock process and modeling of condition-based maintenance Reliability Engineering and System Safety 96 6 2011 619 626
48. J.A.M. van der Weide, M.D. Pandey, and J.M. van Noortwijk Discounted cost model for condition-based maintenance optimization Reliability Engineering and System Safety 95 3 2010 236 246
49. J.M. van Noortwijk A survey of the application of gamma processes in maintenance Reliability Engineering and System Safety 94 1 2009 2 21
50. J.M. van Noortwijk, J.A.M. van der Weide, M.J. Kallen, and M.D. Pandey Gamma processes and peaks-over-threshold distributions for time-dependent reliability Reliability Engineering and System Safety 92 12 2007 1651 1658 (Pubitemid 47088939)
51. H. Wang A survey of maintenance policies of deteriorating systems European Journal of Operational Research 139 3 2002 469 489 (Pubitemid 34249626)
52. W. Wang, M. Carr, W. Xu, and K. Kobbacy A model for residual life prediction based on Brownian motion with an adaptive drift Microelectronics Reliability 51 2 2011 285 293
53. G.A. Whitmore, M.J. Crowder, and J.F. Lawless Failure inference from a marker process based on a bivariate wiener model Lifetime Data Analysis 4 3 1998 229 251 (Pubitemid 128480559)
54. G. Whitmore, and F. Schenkelberg Modelling accelerated degradation data using Wiener diffusion with a time scale transformation Lifetime Data Analysis 3 1 1997 27 45 (Pubitemid 127479319)