Nothing Special   »   [go: up one dir, main page]

skip to main content
article

On Gaver's parallel system sustained by a cold standby unit and attended by two repairmen

Published: 01 February 2002 Publication History

Abstract

We consider Gaver's parallel system sustained by a cold standby unit and attended by two identical repairmen. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, queueing). Each operative unit has a constant failure rate and a deterministic repair time. We analyse the total joint idle time of both repairmen during the survival time of the system. The analysis requires the solution of a delay-differential equation. A numerical example illustrates the structure of the solution for some particular values of the underlying parameters.

References

[1]
Birolini, A., . 1994. Springer, Berlin.
[2]
Dhillon, B.S. and Anude, O.C., Common-cause failure analysis of a parallel system with warm standby. Microelectron. Reliab. v33. 1321-1342.
[3]
Dhillon, B.S. and Anude, O.C., Income optimization of a repairable and redundant system. Microelectron. Reliab. v34. 1709-1720.
[4]
Dhillon, B.S. and Anude, O.C., Optimizing the income of a repairable reliability system with early standby activation. Microelectron. Reliab. v34. 1721-1732.
[5]
Human error analysis of a redundant system with arbitrary distributed repair times. Microelectron. Reliab. v33. 431-444.
[6]
Availability of a man-machine system with critical and non-critical human errors. Microelectron. Reliab. v33. 1511-1521.
[7]
Stochastic analysis of an active-standby redundant network with two types of common-cause failures. Stochastic Anal. Appl. v15. 313-325.
[8]
Time to failure and availability of paralleled systems with repair. IEEE Trans. Reliab. vR-12. 30-38.
[9]
Gertsbakh, I.B., . 1989. Marcel Dekker, New York.
[10]
Goel, L.R., Gupta, R. and Singh, S., A two (multi-component) unit parallel system with standby and common cause failures. Microelectron. Reliab. v24. 415-419.
[11]
Mahmoud, M., Mokhles, N.A. and Saleh, E.H., A non-identical units redundant system with common-cause failure and one standby unit. IAPQR Trans. v14.
[12]
Shaked, M. and Shanthikumar, J.G., Reliability and Maintainability. In: Heyman, D.P., Sobel, M.J. (Eds.), Handbook in Operations Research and Management Science, Vol. 2. North-Holland, Amsterdam.
[13]
Vanderperre, E.J., On the reliability of Gaver's parallel system sustained by a cold standby unit and attended by two repairmen. J. Oper. Res. Soc. Japan. v41. 171-180.
[14]
Vanderperre, E.J., Makhanov, S.S. and Suchatvejapoom, S., Long-run availability of a repairable parallel system. Microelectron. Reliab. v37. 525-527.

Cited By

View all
  • (2018)On the reliability of Gavers parallel system supervised by a safety unitOperations Research Letters10.1016/j.orl.2018.01.00946:2(257-261)Online publication date: 1-Mar-2018
  1. On Gaver's parallel system sustained by a cold standby unit and attended by two repairmen

    Recommendations

    Comments

    Please enable JavaScript to view thecomments powered by Disqus.

    Information & Contributors

    Information

    Published In

    cover image Operations Research Letters
    Operations Research Letters  Volume 30, Issue 1
    February, 2002
    71 pages

    Publisher

    Elsevier Science Publishers B. V.

    Netherlands

    Publication History

    Published: 01 February 2002

    Author Tags

    1. Cold standby
    2. Deterministic repair
    3. Gaver's parallel system
    4. Survival time
    5. Total joint idle time

    Qualifiers

    • Article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 27 Feb 2025

    Other Metrics

    Citations

    Cited By

    View all
    • (2018)On the reliability of Gavers parallel system supervised by a safety unitOperations Research Letters10.1016/j.orl.2018.01.00946:2(257-261)Online publication date: 1-Mar-2018

    View Options

    View options

    Figures

    Tables

    Media

    Share

    Share

    Share this Publication link

    Share on social media