||On the reliability study of the repairable system, we often use the Power Law Process, the Log Linear Process to describe the failure process of the system. Pulcini(2001) finds the Bounded Intensity Process model, which is more efficiently used to describe the failure process. Because the operating goes, the failure intensity of system goes to a constant value possibly.|
This article will consider a deteriorating repairable system and use two kinds of methods of collecting data denoted as failure censored and time censored. Under the previous methods, we want to study the power of the following tests denoted as Likelihood Ratio test, F test, Laplace test, and MIL-HDBK-189 test given by Bain, etc.(1985). And, under the F test, we make proper changes on the selection of the cutting of the data with the different models.
Finally, we consider the failure data of the hydraulic system of LHD machines, given by Kumar and Klefsjö(1992). In particular, we use the previous three models to analyze the failure data relative to the machines denoted as LHD 1, LHD 9, and LHD 17. And we try to conclude a proper model to describe the kind of the hydraulic system from the individual analysis.
||Ahn, C. W.; Chae K. C.; and Clark, G. M. (1998).“Estimating Parameters of the Power Law Process with Two Measures of Failure Time”. Journal of Quality Technology, 30, pp. 127-132.|
Ascher, H. and Feingold, H. (1984).“Repairable Systems Reliability： Modeling, Inference, Misconceptions and Their Causes”. Marcel Dekker, New York, NY.
Acsher, H. (1986).“Reliability Models for Repairable Systems”. in Reliability Tecnology─Theory & Applications edited by J. Møltoft and F. Jensen. Elsevier Science, North-Holland, pp. 177-185.
Bain, L. J.; Engelhardt, M.; and Wright, F. T. (1985).“Tests for an Increasing Trend in the Intensity of a Poisson Process： A Power Study”. Journal of the American Statistical Association, 80, pp. 419-422.
Baker, R. D. (1996).“Some New Tests of the Power Law Process”. Technometrics, 38, pp. 256-265.
Barlow, R. E.; Bartholomew, D. J.; Bremner; and Brunk, H. D. (1972).“Statistical Inferences Under Order Restrictions”. New York： John Wiley.
Bendell, A. and Walls, L. A. (1985).“Exploring Reliability Data”. Quality and Reliability Engineering International, 1, pp. 37-51.
Boswell, M. T. (1966).“Estimating and Testing Trend in a Stochastic Process of Poisson Type”. Annals of Mathematical Statistics, 37, pp. 1564-1573.
Boswell, M. T. and Brunk, H. D. (1969).“Distribution of Likelihood Ratio in Testing Against Trend”. Annals of Mathematical Statistics, 40 , pp. 371-380.
Cox, D. R. (1955).“Some Statistical Methods Connected with Series of Events”. Journal of the Royal Statistical Society, 17, pp. 129-164.
Cox, D. R. and Lewis, P. A. (1966).“The Statistical Analysis of Series of Events”. Methuen, New York, NY.
Crow, L. H. (1974).“Reliability Analysis for Complex Repairable Systems”. in Reliability and Biometry, F. Proschan and R. J. Serfling, eds., SIAM, Philadelphia, pp. 379-410.
Crowder, M. J.; Kimber, A. C.; Smith, R. L.; and Sweeting, T. J. (1991).“Statistical Analysis of Reliability Data”. Chapman & Hall.
Engelhardt, M. and Bain, L. J. (1986).“On the Mean Time Between Failures for Repairable Systems”. IEEE Transactions on Reliabiluty, 35, pp. 419-422.
Gianpaolo Pulcini. (2001).“A Bounded Intensity Process for the Reliability of Repairable Equipment”. Journal of Quality Technology, 33, pp. 480-492.
Härtler, G. (1989).“The Nonhomogeneous Poisson Process： A Model for the Reliability of Complex Repairable Systems”. Microelectronics and Reliability, 29, pp.381-386.
Kumar, U. and Klefsjö, B. (1992).“Reliability Analysis of Hydraulic Systems of LHD Machines Using the Power Law Process Model”. Reliability Engineering and System Safety, 35, pp. 217-224.
MIL-HDBK-189 (1981).“Reliability Growth Management”. Headquarters, U.S. Army Communication Research and Development Command, ATTN： DRDCO-PT, Fort Monmouth, NJ 07702.
Park, W. J. and Kim, Y. G. (1992).“Goodness-of-Fit Test for the Power Law Process”. IEEE Transactions on Reliabiluty, 41, pp. 107-111.
Rigdon, S. E. and Basu, A. P. (1989).“The Power Law Process： A Model for the Reliability of Repairable Systems”. Journal of Quality Technology, 25, pp. 251-259.