Reliability Analysis Procedures for Repairable Systems and Related Case Studies

수리 가능 시스템의 신뢰성 분석 절차 및 사례 연구

  • Published : 2006.06.01

Abstract

The purpose of this paper is to present reliability analysis procedures for repairable systems and apply the procedures for assessing the reliabilities of two subsystems of a specific group of military equipment based on field failure data. The mean cumulative function, M(t), the average repair rate, ARR(t), and analytic test methods are used to determine whether a failure process follows a renewal or non-renewal process. For subsystem A, the failure process turns out to follow a homogeneous Poisson process, and subsequently, its mean time between failures, availability, and the necessary number of spares are estimated. For subsystem B, the corresponding M(t) plot shows an increasing trend, indicating that its failure process follows a non-renewal process. Therefore, its M(t) is modeled as a power function of t, and a preventive maintenance policy is proposed based on the annual mean repair cost.

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References

  1. Ascher, H., and Feingold, H., Repairable Systems Reliability, Marcel Dekker, Inc., New York, 1984
  2. Cox, D. R., and Lewis, P. A. W., The statistical Analysis of Series of Events, John Wiley & Sons, Inc., New York, 1966
  3. Mann, H. B., 'Nonparametric Test against Trend', Econometrica, Vol. 13, 1945, pp.245-259 https://doi.org/10.2307/1907187
  4. Nelson, W., Recurrent Event Data Analysis for Product Repairs, Disease Recurrences, and Other Applications, SlAM, philadelphia, ASA, Alexandria, VA, 2002
  5. Proschan, F., 'Theoretical Explanation of Observed Decreasing Failure Rate', Technometrics, Vol. 5(3), 1963, pp.375-383 https://doi.org/10.2307/1266340
  6. Tobias, P., and Trindade, D. C., Applied Reliability, 2nd ed., Chapman & Hall/CRC, New York, 1995
  7. Wang, P., and Coit, D. W., 'Repairable System Reliability Trend Tests and Evaluation,' Proceeding of Annual Reliability and Maintainability Symposium, 2005, pp.416-421