The Model of Reliability for a Repairable System

Article Preview

Abstract:

In this paper we consider the system of M/M/N queue with service interrup-tions , therates of server breakdown are different between busy time and idle time, and thereis one repairman ite system. We give out the group of equations for the steady state distribution of the number of effective servers. We obtain the steady-state probabilities of the states and the steady-state availability of the system. This document

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 474-476)

Pages:

1715-1719

Citation:

Online since:

April 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Cooper,E., Introduction to queueing theory, 2nd ed, Elsevier, North-Holland, New York, (1981).

Google Scholar

[2] Gross,D. and Harris,C. M, Fundamentals of queueing theory, 2nd ed, John Wiley\& Sons, New York, (1985).

Google Scholar

[3] Thiruvengdan,K., Queueing with breakdowns. Opns. Res. 11 (1963)62-67.

Google Scholar

[4] Federgruen,A. and So,K.C., Optimal maintenance police for single-server queueing systems subject to breakdown, Opns. Res. 38 1990)330-343.

DOI: 10.1287/opre.38.2.330

Google Scholar

[5] Mitrany I.L. and Avi-Itzhak,B. Many-server queue with service interruptions. Operations Res. 16 (1968)628-638.

DOI: 10.1287/opre.16.3.628

Google Scholar

[6] Neuts M.F. and Lucantoni D.M. A markovian queue with N servers subject to breakdowns and repairs[J]. Mgmt. Sci. 25 (1979)849-861.

DOI: 10.1287/mnsc.25.9.849

Google Scholar

[7] Cao jinhua, Chengkan, Introduction to reliability mathematics, SciencePress, Beiing, (1986).

Google Scholar