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Implications of a failure model for the use and maintenance of computers

Published online by Cambridge University Press:  14 July 2016

P. A. W. Lewis
P. A. W. Lewis*
Affiliation:
Birkbeck College, London, and IBM Research Laboratories, San Jose, California
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Abstract

In a previous paper a branching Poisson process model was derived to explain deviations from a Poisson process in computer failure patterns. Physically the deviations arise because an attempt to repair a computer is not always successful and the failure recurs a relatively short time later. In this paper we discuss the implications of this model for the use and maintenance of computers.

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 2 , December 1964 , pp. 347 - 368
Copyright
Copyright © Applied Probability Trust 

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References

[1] Lewis, P. A. W. A branching Poisson process model for analysis of computer failure patterns I. To appear in J. R. Statist. Soc. B 26.Google Scholar
[2] Cox, D. R. (1963) Renewal Theory. Methuen, London.Google Scholar
[3] Flehinger, B. J. and Lewis, P. A. W. (1959) Two-parameter lifetime distributions for reliability studies of renewal processes. IBM Journal of Research and Development 3, January, 58–73.Google Scholar
[4] Watson, G. S. and Wells, W. T. (1961) On the possibility of improving the mean useful life of items by eliminating those with short lives. Technometrics 3, 281–298.Google Scholar
[5] Gaver, D. P. (1962) A waiting line with interrupted service, including priorities. J. R. Statist. Soc. B 24, 73–90.Google Scholar
[6] Kendall, M. G. (1963) Discussion of a paper by J. O. Irwin, “The place of mathematics in medical and biological statistics”. J. R. Statist. Soc. A 126, 1–45.Google Scholar
[7] Weiss, G. H. (1963) A survey of some mathematical models in the theory of reliability. Statistical Theory of Reliability. Ed. by Zelen, M., University of Wisconsin Press, Madison.Google Scholar
[8] Flehinger, B. J. (1962) A general model for the reliability analysis of systems under various preventive maintenance policies. Ann. Math. Statist. 33, 137–156.Google Scholar
[9] Barlow, R. E. and Proschan, F. (1962) Planned replacement. Studies in Applied Probability and Management Science. Ed. by Arrow, K. J., Karlin, S. and Scarf, H., Stanford University Press, Stanford, California.Google Scholar
[10] Flehinger, B. J. (1960) System reliability as a function of system age; effects of intermittent component usage and periodic maintenance. Operat. Res. 8, 30–44.Google Scholar
[11] Weiss, G. H. (1962) A problem in equipment maintenance. Management Science 8, 266–277.Google Scholar
[12] Gaver, D. P. (1963) Random hazard in reliability problems. Technometrics 5, 211–226.Google Scholar
[13] Barlow, R. E. and Proschan, F. (1963) Comparison of replacement policies, and renewal theory implications. Boeing Scientific Research Laboratories Mathematical Note, No. 290.Google Scholar
[14] Pyke, R. (1961) Markov renewal processes with finitely many states. Ann. Math. Statist. 32, 1243–1259.Google Scholar