Abstract
In order to analyze the failure data from repairable systems, the homogeneous Poisson process (HPP) is usually used. In general, HPP cannot be applied to analyze the entire life cycle of a complex, repairable system because the rate of occurrence of failures (ROCOF) of the system changes over time rather than remains stable. However, from a practical point of view, it is always preferred to apply the simplest method to address problems and to obtain useful practical results. Therefore, we attempted to use the HPP model to analyze the failure data from real repairable systems. A graphic method and the Laplace test were also used in the analysis. Results of numerical applications show that the HPP model may be a useful tool for the entire life cycle of repairable systems.
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References
Crow L H. Reliability analysis for complex, repairable systems [C]// Reliability and Biometry, Philadelphia: SIAM, 1974: 379–410.
Ascher H, Feingold H. Repairable systems reliability: modeling, inference, misconceptions, and their causes [M]. New York: Marcel Dekker, INC, 1984: 101–103.
Duane J T. Learning curve approach to reliability monitoring [J]. IEEE Transactions on Aerospace, 1964, 2(2): 563–566.
Guida M, Pulcini G. Bayesian reliability assessment of repairable systems during multi-stage development programs [J]. IIE Transactions, 2005, 37: 1071–1081.
Muralidharan K. Reliability inferences of modulated power-law process [J]. IEEE Transactions on Reliability, 2002, 51(1): 23–26.
Richardson M G, Basu A P. Inferences on the parameters and system reliability for a failure-truncated power law process: A Bayesian approach using a change-point [J]. International Journal of Reliability, Quality and Safety Engineering, 2004, 11(2): 175–185.
Krasich M, Quiqley J, Walls L. Modeling reliability growth in the product design process [C]// Proceedings of the Annual Reliability and Maintainability Symposium: International Symposium on Product Quality and Integrity. Los Angeles: Bose Corporation, 2004: 424–430.
Attardi L, Pulcini G. A new model for repairable systems with bounded failure intensity [J]. IEEE Transactions on Reliability, 2005, 54(4): 572–582.
Cox D R, Lewis P A. The statistical analysis of series of events [M]. London: Methuen, 1966.
Bain L J, Engelhardt M, Wright F T. Tests for an increasing trend in the intensity of a Poisson process: A power study [J]. Journal of the American Statistical Association, 1985, 80(390): 419–422.
Gaudoin O. Optimal properties of the Laplace trend test for software-reliability models [J]. IEEE Transactions on Reliability, 1992, 41(4): 525–532.
Tan F, Jiang Z, Kuo W, et al. Nonlinear mixed-effects models for repairable systems reliability [J]. Journal of Shanghai Jiaotong University (Science), 2007, 12(2): 283–288.
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Tan, Fr., Jiang, Zb. & Bai, Ts. Reliability analysis of repairable systems using stochastic point processes. J. Shanghai Jiaotong Univ. (Sci.) 13, 366–369 (2008). https://doi.org/10.1007/s12204-008-0366-3
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DOI: https://doi.org/10.1007/s12204-008-0366-3
Key words
- repairable systems
- reliability analysis
- homogeneous Poisson process (HPP)
- rate of occurrence of failures (ROCOF)
- stochastic point process
- Laplace test