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A review on degradation models in reliability analysis

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Engineering Asset Lifecycle Management

Abstract

With increasingly complex engineering assets and tight economic requirements, asset reliability becomes more crucial in Engineering Asset Management (EAM). Improving the reliability of systems has always been a major aim of EAM. Reliability assessment using degradation data has become a significant approach to evaluate the reliability and safety of critical systems. Degradation data often provide more information than failure time data for assessing reliability and predicting the remnant life of systems. In general, degradation is the reduction in performance, reliability, and life span of assets. Many failure mechanisms can be traced to an underlying degradation process. Degradation phenomenon is a kind of stochastic process; therefore, it could be modelled in several approaches. Degradation modelling techniques have generated a great amount of research in reliability field. While degradation models play a significant role in reliability analysis, there are few review papers on that. This paper presents a review of the existing literature on commonly used degradation models in reliability analysis. The current research and developments in degradation models are reviewed and summarised in this paper. This study synthesises these models and classifies them in certain groups. Additionally, it attempts to identify the merits, limitations, and applications of each model. It provides potential applications of these degradation models in asset health and reliability prediction.

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References

  1. Meeker WQ & Escobar LA. (1998) Statistical methods for reliability data: J. Wiley.

    Google Scholar 

  2. Meeker WQ & Escobar LA. (1993) A review of recent research and current issues in accelerated testing. International Statistical Review, 61(1), 147-168.

    Article  Google Scholar 

  3. Singpurwalla ND. (2006) The hazard potential: introduction and overview. Journal of the American Statistical Association, 101(476), 1705-1717.

    Article  MATH  MathSciNet  Google Scholar 

  4. Singpurwalla ND. (1995) Survival in dynamic environments. Statistical Science 10(1), 86–103.

    Article  MATH  Google Scholar 

  5. Van Noortwijk JM. (2007) A survey of the application of gamma processes in maintenance. Reliability Engineering & System Safety, In Press, Corrected Proof, 20.

    Google Scholar 

  6. Ma L. (2007) Condition monitoring in engineering asset management. APVC. p. 16.

    Google Scholar 

  7. Rausand M. (1998) Reliability centered maintenance. Reliability Engineering & System Safety, 60(2), 121-132.

    Article  Google Scholar 

  8. Blischke WR & Murthy DNP. (2000) Reliability : modeling, prediction, and optimization. New York: Wiley.

    MATH  Google Scholar 

  9. Zuo MJ, Renyan J & Yam RCM. (1999) Approaches for reliability modeling of continuous-state devices. IEEE Transactions on Reliability, 48(1), 9-18.

    Article  Google Scholar 

  10. Meeker WQ, L. A. Escobar & Lu CJ. (1998) Accelerated degradation tests: Modeling and analysis. Technometrics, 40(2), 89.

    Article  Google Scholar 

  11. Yang K & Xue J. (1996) Continuous state reliability analysis. Annual Reliability and Maintainability Symposium. pp. 251-257.

    Google Scholar 

  12. Montoro-Cazorla D & Perez-Ocon R. (2006) Reliability of a system under two types of failures using a Markovian arrival process. Operations Research Letters, 34(5), 525-530.

    Article  MATH  MathSciNet  Google Scholar 

  13. Yang G. (2002) Environmental-stress-screening using degradation measurements. IEEE Transactions on Reliability, 51(3), 288-293.

    Article  Google Scholar 

  14. Yang K & Yang G. (1998) Degradation reliability assessment using severe critical values. International Journal of Reliability, Quality and Safety Engineering, 5(1), 85-95.

    Article  Google Scholar 

  15. Borris S. (2006) Total productive maintenance. New York: McGraw-Hill.

    Google Scholar 

  16. Endrenyi J & Anders GJ. (2006) Aging, maintenance, and reliability - approaches to preserving equipment health and extending equipment life. Power and Energy Magazine, IEEE, 4(3), 59-67.

    Article  Google Scholar 

  17. Jardine AKS, Lin D & Banjevic D. (2006) A review on machinery diagnostics and prognostics implementing conditionbased maintenance. Mechanical Systems and Signal Processing, 20(7), 1483-1510.

    Article  Google Scholar 

  18. Heng A, Zhang S, Tan ACC & Mathew J. (2008) Rotating machinery prognostics: State of the art, challenges and opportunities. Mechanical Systems and Signal Processing, In Press, Corrected Proof.

    Google Scholar 

  19. Vachtsevanos GJ, Lewis FL, Roemer M, Hess A & Wu B. (2006) Intelligent fault diagnosis and prognosis for engineering systems. Hoboken, NJ: Wiley.

    Book  Google Scholar 

  20. Zhang L, Li X & Yu J. (2006) A review of fault prognostics in condition based maintenance. Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic Technology, and Artificial Intelligence China. pp. 6357521-6. SPIE.

    Google Scholar 

  21. Sikorska J. (2008) Prognostic modelling options for remaining useful life estimation: CASWA Pty Ltd & University of Western Australia.

    Google Scholar 

  22. Jiang R & Yan X. (2007) Condition monitoring on diesel engines. 25.

    Google Scholar 

  23. Kothamasu R, Huang S & VerDuin W. (2006) System health monitoring and prognostics — a review of current paradigms and practices. The International Journal of Advanced Manufacturing Technology, 28(9), 1012-1024.

    Article  Google Scholar 

  24. Katipamula S & Brambley MR. (2005) Methods for fault detection, diagnostics, and prognostics for building systems—a review, part I. International Journal of HVAC&R Research, 11(1), 3-25.

    Google Scholar 

  25. Goh KM, Tjahjono B, Baines TS & Subramaniam S. (2006) A review of research in manufacturing prognostics. IEEE International Conference on Industrial Informatics. pp. 1-6.

    Google Scholar 

  26. Ma Z & Krings AW. (2008) Survival analysis approach to reliability, survivability and prognostics and health management. IEEE Aerospace Conference. pp. 1-20.

    Google Scholar 

  27. Pusey HC & Roemer MJ. (1999) An assessment of turbomachinary condition monitoring and failure prognosis technology. The Shock and Vibration Digest, 31(5), 365-371.

    Article  Google Scholar 

  28. Weibull W. (1951) A statistical distribution function of wide applicability. Journal of Applied Mechanics, 18(3), 293-297.

    MATH  Google Scholar 

  29. Chelidze D & Cusumano JP. (2004) A dynamical systems approach to failure prognosis. Transactions of the ASME, 126, 2.

    Article  Google Scholar 

  30. Chen A & Wu GS. (2007) Real-time health prognosis and dynamic preventive maintenance policy for equipment under aging Markovian deterioration. International Journal of Production Research, 45(15), 3351.

    Article  MATH  Google Scholar 

  31. Luo J, Bixby A, Pattipati K, Liu Q, Kawamoto M & Chigusa S. (2003) An interacting multiple model approach to modelbased prognostics. Bixby A (Ed.). IEEE International Conference on Systems, Man and Cybernetics. pp. 189-19.

    Google Scholar 

  32. Kulkarni SS & Achenbach JD. (2008) Structural health monitoring and damage prognosis in fatigue. Structural Health Monitoring, 7(1), 37-49.

    Article  Google Scholar 

  33. Wang W & Zhang W. (2008) An asset residual life prediction model based on expert judgments. European Journal of Operational Research, 188(2), 496-505.

    Article  MATH  MathSciNet  Google Scholar 

  34. Jardine AKS. (2002) Optimizing condition based maintenance decisions. Annual Reliability and Maintainability Symposium. pp. 90-97. IEEE.

    Google Scholar 

  35. Eleuteri A, Tagliaferri R, Milano L, De Placido S & De Laurentiis M. (2003) A novel neural network-based survival analysis model. Neural Networks, 16(5-6), 855-864.

    Article  Google Scholar 

  36. Li C, Tao L & Yongsheng B. (2007) Condition residual life evaluation by support vector machine. 8th International Conference on Electronic Measurement and Instruments. pp. 441-445.

    Google Scholar 

  37. Liao H. (2004) Degradation models and design of accelerated degradation testing plans. United States -- New Jersey: Rutgers The State University of New Jersey - New Brunswick.

    Google Scholar 

  38. Jiang R & Jardine AKS. (2008) Health state evaluation of an item: A general framework and graphical representation. Reliability Engineering & System Safety, 93(1), 89-99.

    Article  Google Scholar 

  39. Lu CJ & Meeker WQ. (1993) Using degradation measures to estimate a time-to-failure distribution. Technometrics, 35(2), 161-174.

    Article  MATH  MathSciNet  Google Scholar 

  40. Engel SJ, Gilmartin BJ, Bongort K & Hess A. (2000) Prognostics, the real issues involved with predicting life remaining. IEEE Aerospace Conference Proceedings pp. 457-469.

    Google Scholar 

  41. Yuan X. (2007) Stochastic modeling of deterioration in nuclear power plant components. Ontario -- Canada: University of Waterloo.

    Google Scholar 

  42. Crk V. (2000) Reliability assessment from degradation data. Annual Reliability and Maintainability Symposium. pp. 155-161.

    Google Scholar 

  43. Crk V. (1998) Component and system reliability assessment from degradation data. United States -- Arizona: The University of Arizona.

    Google Scholar 

  44. Lu S, Lu H & Kolarik WJ. (2001) Multivariate performance reliability prediction in real-time. Reliability Engineering & System Safety, 72(1), 39-45.

    Article  Google Scholar 

  45. Gordon NJ, Salmond DJ & Smith AFM. (1993) Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings "F" Radar and Signal Processing. pp. 107-113.

    Google Scholar 

  46. Arulampalam MS, Maskell S, Gordon N & Clapp T. (2002) A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Transactions on Signal Processing, 50(2), 174-188.

    Article  Google Scholar 

  47. Nachlas JA. (2005) Reliability engineering : probabilistic models and maintenance methods. Boca Raton: Taylor & Francis.

    MATH  Google Scholar 

  48. Xue J & Yang K. (1997) Upper and lower bounds of stress-strength interference reliability with random strengthdegradation. IEEE Transactions on Reliability, 46(1), 142-145.

    Article  Google Scholar 

  49. Sweet AL. (1990) On the hazard rate of the lognormal distribution. IEEE Transactions on Reliability, 39(3), 325-328.

    Article  MATH  Google Scholar 

  50. Huang W & Askin RG. (2004) A generalized SSI reliability model considering stochastic loading and strength aging degradation. IEEE Transactions on Reliability, 53(1), 77-82.

    Article  Google Scholar 

  51. Esary JD & Marshall AW. (1973) Shock models and wear processes. The Annals of Probability, 1(4), 627-649.

    Article  MATH  MathSciNet  Google Scholar 

  52. Lemoine AJ & Wenocur ML. (1985) On failure modeling. Naval Research Logistics, 32(3), 497-508.

    Article  MATH  MathSciNet  Google Scholar 

  53. Li N, Xie W-C & Haas R. (1996) Reliability-based processing of Markov chains for modeling pavement network deterioration. Transportation Research Record, 1524(-1), 203-213.

    Article  Google Scholar 

  54. Pijnenburg M. (1991) Additive hazards models in repairable systems reliability. Reliability Engineering and System Safety, 31(3), 369-390.

    Article  Google Scholar 

  55. Kallen MJ & van Noortwijk JM. (2006) Optimal periodic inspection of a deterioration process with sequential condition states. International Journal of Pressure Vessels and Piping, 83(4), 249-255.

    Article  Google Scholar 

  56. Welte TM, Vatn J & Heggest J. (2006) Markov state model for optimization of maintenance and renewal of hydro power components. International Conference on Probabilistic Methods Applied to Power Systems pp. 1-7.

    Google Scholar 

  57. Papazoglou IA. (2000) Semi-Markovian reliability models for systems with testable components and general test/outage times. Reliability Engineering & System Safety, 68(2), 121-133.

    Article  Google Scholar 

  58. Ross SM. (1996) Stochastic processes (2nd ed.). New York: Wiley.

    MATH  Google Scholar 

  59. Whitmore G & Schenkelberg F. (1997) Modelling accelerated degradation data using wiener diffusion with a time scale transformation. Lifetime Data Analysis, 3(1), 27-45.

    Article  MATH  Google Scholar 

  60. Bagdonavicius V & Nikulin MS. (2001) Estimation in degradation models with explanatory variables. Lifetime Data Analysis, 7(1), 85-103.

    Article  MATH  MathSciNet  Google Scholar 

  61. Doksum KA. (1991) Degradation rate models for failure time and survival data. CWI Quarterly, 4, 195-203.

    MATH  Google Scholar 

  62. Singpurwalla ND. (2006) Reliability and risk : a Bayesian perspective. New York: J. Wiley & Sons.

    MATH  Google Scholar 

  63. Van Noortwijk JM, Van der Weide JAM, Kallen MJ & Pandey MD. (2007) Gamma processes and peaks-over-threshold distributions for time-dependent reliability. Reliability Engineering & System Safety, 92(12), 1651-1658.

    Article  Google Scholar 

  64. Van Noortwijk JM & Frangopol DM. (2004) Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures. Probabilistic Engineering Mechanics, 19(4), 345-359.

    Article  Google Scholar 

  65. Lawless J & Martin C. (2004) Covariates and random effects in a Gamma process model with application to degradation and failure. Lifetime Data Analysis, 10(3), 213.

    Article  MATH  MathSciNet  Google Scholar 

  66. Singpurwalla N. (1997) Gamma processes and their generalizations: an overview. Engineering Probabilistic Design and Maintenance for Flood Protection, 67–75.

    Google Scholar 

  67. Tang LC & Shang CD. (1995) Reliability prediction using nondestructive accelerated-degradation data: case study on power supplies. IEEE Transactions on Reliability 44(4), 562-566.

    Article  Google Scholar 

  68. Meeker WQ & LuValle MJ. (1995) An accelerated life test model based on reliability kinetics. Technometrics, 37(2), 133-146.

    Article  MATH  Google Scholar 

  69. Zhang C, Chuckpaiwong I, Liang SY & Seth BB. (2002) Mechanical component lifetime estimation based on accelerated life testing with singularity extrapolation. Mechanical Systems and Signal Processing, 16(4), 705-718.

    Article  Google Scholar 

  70. Shiau J-JH & Lin H-H. (1999) Analyzing accelerated degradation data by nonparametric regression. IEEE Transactions on Reliability, 48(2), 149-158.

    Article  Google Scholar 

  71. Pham H. (2006) Reliability modeling, analysis and optimization. Singapore: World Scientific.

    Book  Google Scholar 

  72. Nelson W. (1990) Accelerated testing: statistical models, test plans, and data analyses. New York: John Wiley & Sons.

    Google Scholar 

  73. Gorjian N, Ma L, Mittinty M, Yarlagadda P & Sun Y. (2009) A review on reliability models with covariates The 4rd World Congress on Engineering Asset Management, Athens-Greece. Springer.

    Google Scholar 

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Gorjian, N., Ma, L., Mittinty, M., Yarlagadda, P., Sun, Y. (2010). A review on degradation models in reliability analysis. In: Kiritsis, D., Emmanouilidis, C., Koronios, A., Mathew, J. (eds) Engineering Asset Lifecycle Management. Springer, London. https://doi.org/10.1007/978-0-85729-320-6_42

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  • DOI: https://doi.org/10.1007/978-0-85729-320-6_42

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-321-3

  • Online ISBN: 978-0-85729-320-6

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