Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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Change-point Approach for Analyzing Failure Trend in Repairable Generating Systems

수리 가능 발전기 시스템의 고장추세 분석을 위한 변화점 접근방법

  • Hong, Min-Pyo (Dept. of Industrial Engineering, Hanyang University) ;
  • Bae, Suk-Joo (Dept. of Industrial Engineering, Hanyang University)
  • Published : 2009.03.31
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Abstract

A number of trend test methods, i.e., Military Handbook test and Laplace test etc., have been applied to investigate recurrent failures trend in repairable systems. Existing methods provide information about only existence of trend in the system. In this paper, we propose a new change-point test based on the Schwarz Information Criterion(SIC). The change-point approach is more informative than other trend test methods in that it provides the number of change-points and the location of change-points if it exists, as well as the existence of change-point for recurrent failures. The change-point test is applied to nine 300MW generating units operated in East China. We confirm that the change-point test has a potential for establishing optimal preventive maintenance policy by detecting change-point of failure rate.

Keywords

References

  1. Akaike, H.; Information Theory and an Extension of the Maximum Likelihood Principle, 2nd International Symposium of Information Theory(Petrov, B. N. and Csaki, E., eds.), Akademiai Kiado, Budapest, 267-281, 1973
  2. Ascher, H. and Feingold, H.; Repairable systems Reliability : Modeling, Inference, Misconceptions and Their Causes, Marcel Dekker, New York, 75, 1984
  3. Bain, L. J., Engelhardt, M., and Wright, F. T.; Tests for an Increasing Trend in the Intensity of a Poisson Process : A Power Study, Journal of the American Statistical Association, 80 : 419-422, 1985 https://doi.org/10.2307/2287907
  4. Barlow, R. E., Bartholomew, D. J., Bremner, J. M., and Brunk, H. D.; Statistical Inferences Under Order Restrictions, Wiley, New York, 1972
  5. Barlow, R. E. and Davis, B.; Analysis of time between failures for repairable components. Nuclear Systems Reliability Engineering and Risk Assessment(eds J. B. Fussell and G. R. Burdick), SIAM, Philadelphia, 543-561, 1977
  6. Boswell, M. T.; Estimating and Testing Trend in a Stochastic Process of Poisson Type, Annals of Mathematical Statistics, 37 : 1564-1573, 1966 https://doi.org/10.1214/aoms/1177699148
  7. Bo Henry Lindqvist; on the statistical modeling and analysis of repairable systems, Statistical Science, 21 : 532-551, 2006 https://doi.org/10.1214/088342306000000448
  8. Cox, D. R.; Some Statistical Methods Connected With Series of Events, Journal of the Royal Statistical Society, Ser. B, 17 : 129-164, 1955 https://doi.org/10.2307/2983950
  9. Duane, J. T.; Learning Curve Approach to Reliability Monitoring, IEEE Transactions on Aerospace, 2 : 563-566, 1964 https://doi.org/10.1109/TA.1964.4319640
  10. Hsu, D. A.; Detecting Shifts of Parameter in Gamma Sequences with Applications to Stock Price and Air Traffic Flow Analysis, Journal of the American Statistical Association, 74 : 31-40, 1979 https://doi.org/10.2307/2286717
  11. Jie Chen, A. K. Gupta; Parametric Statistical Change Point Analysis, Birkhauser, Boston, 2000
  12. Kvaloy, J. T. and Lindqvist, B. H.; TTT-Based Tests for Trend in Repairable Systems Data, Reliability Engineering and System Safety, 60 : 13-28, 1998 https://doi.org/10.1016/S0951-8320(97)00099-9
  13. Maguire, B. A., Pearson, E. S., and Wynn, A. H. A.; The Time Intervals Between Industrial Accidents, Biometrika, 39 : 168-180, 1952 https://doi.org/10.1093/biomet/39.1-2.168
  14. MIL-HDBK-18; Reliability Growth Management, Headquaters, U.S Army Communications Research and Development Command, ATTN: DRDCOPT, Fort Monmouth, NJ 07702, 1981
  15. Schwarz, G.; Estimating the Dimension of a Model, The Annals of Statistics, 6 : 461-464, 1978 https://doi.org/10.1214/aos/1176344136
  16. Steven E. Rigdon, Asit P. Basu; Statistical Methods for the Reliability of Repairable Systems, John Wiley and Sons, New York, 2000
  17. William Q. Meeker, Luis A. Escobar; Statistical Methods for Reliability Data, John Wiley and Sons, New York, 1998