Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-22T11:12:48.690Z Has data issue: false hasContentIssue false
  • English
  • Français

A two-unit standby redundant system with repair and preventive maintenance

Published online by Cambridge University Press:  14 July 2016

Shunji Osaki  and
Tatsuyuki Asakura
Shunji Osaki
Affiliation:
Kyoto University
Tatsuyuki Asakura
Affiliation:
Teijin Ltd., Osaka
Get access Rights & Permissions [Opens in a new window]

Abstract

A two-unit standby redundant system with repair and preventive maintenance is discussed. Assuming that the failure, repair, inspection, and preventive maintenance (preventive repair) time distributions of each unit for the system are all arbitrary, the Laplace-Stieltjes transform (L.S.T.) of the distribution of time to the first system down is derived and the mean time obtained from it. It is further shown that under suitable assumptions, the preventive maintenance policy for the system is effective in the sense that it increases the mean time to the first system down.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 3 , December 1970 , pp. 641 - 648
Copyright
Copyright © Applied Probability Trust 1970 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Barlow, R. E. and Proschan, F. (1962) Planned replacement. Studies in Applied Probability and Management Science. Chapter 4, edited by Arrow, , Karlin, , and Scarf, , Standard University Press, Stanford.Google Scholar
[2] Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
[3] Feller, W. (1966) An Introduction to Probability Theory and Its Applications. Vol. II. Wiley, New York, page 129.Google Scholar
[4] Gaver, D. P. (1963) Time to failure and availability of paralleled redundant systems with repair. IEEE Trans. Reliability R–12, 30–38.CrossRefGoogle Scholar
[5] Gnedenko, B. V., Belyaev, Yu. K. and Solvyev, A. D. (1969) Mathematical Methods of Reliability Theory. English translation edited by Barlow, R. E. Academic Press, New York, 329–331.Google Scholar
[6] Mine, H. and Asakura, T. (1969) The effect of an age replacement to a standby redundant system. J. Appl. Prob. 6, 516–523.CrossRefGoogle Scholar
[7] Srinivasan, V. S. (1966) The effect of standby redundancy in system's failure with repair maintenance. Operat. Res. 14, 1024–1036.Google Scholar