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Development of Reliability Analysis Procedures for Repairable Systems with Interval Failure Time Data and a Related Case Study

구간 고장 데이터가 주어진 수리가능 시스템의 신뢰도 분석절차 개발 및 사례연구

  • Received : 2011.06.09
  • Accepted : 2011.09.16
  • Published : 2011.10.05

Abstract

The purpose of this paper is to develop reliability analysis procedures for repairable systems with interval failure time data and apply the procedures for assessing the storage reliability of a subsystem of a certain type of guided missile. In the procedures, the interval failure time data are converted to pseudo failure times using the uniform random generation method, mid-point method or equispaced intervals method. Then, such analytic trend tests as Laplace, Lewis-Robinson, Pair-wise Comparison Nonparametric tests are used to determine whether the failure process follows a renewal or non-renewal process. Monte Carlo simulation experiments are conducted to compare the three conversion methods in terms of the statistical performance for each trend test when the underlying process is homogeneous Poisson, renewal, or non-homogeneous Poisson. The simulation results show that the uniform random generation method is best among the three. These results are applied to actual field data collected for a subsystem of a certain type of guided missile to identify its failure process and to estimate its mean time to failure and annual mean repair cost.

Keywords

References

  1. 서순근, Minitab 신뢰성 분석, 이레테크, 2006.
  2. 이성환, "수리가능 시스템의 신뢰도 분석절차의 개발 및 사례 연구", KAIST 산업공학과 석사학위논문, 2006.
  3. Cox, D. R. and Lewis, P. A. W., The Statistical Analysis of Series of Events, Wiley, New York, 1966.
  4. Crow, L. H., "Reliability Analysis for Complex, Repairable Systems", in Reliability and Biometry, F. Proschan and R. J. Serfling, eds., SIAM, Philadelphia, pp. 379-410, 1974.
  5. Lawless, J. F., Statistical Models and Methods for Life Time Data, Wiley, New York, 1982.
  6. Lewis, P. A. W. and Robinson, D. W., "Testing for a Monotone Trend in a Modulated Renewal Process", Reliability and Biometry, pp. 163-182, 1974.
  7. Mann, H. B., "Nonparametric Test Against Trend", Econometrica, Vol. 13, No. 3, pp. 245-259, 1945. https://doi.org/10.2307/1907187
  8. Proschan, F., "Theoretical Explanation of Observed Decreasing Failure Rate", Technometrics, Vol. 5, No. 3, pp. 375-383, 1963. https://doi.org/10.1080/00401706.1963.10490105
  9. Tobias, P. and Trindade, D. C., Applied Reliability, 2nd ed., Chapman & Hall/CRC, New York, 1995.
  10. Wang, P. and Coit, D. W., "Repairable Systems Reliability Trend Tests and Evaluation", Proceedings of Annual Reliability and Maintainability Symposium, pp. 416-421, 2005.