Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T12:35:14.574Z Has data issue: false hasContentIssue false
  • English
  • Français

On the busy period of discrete-time queues

Published online by Cambridge University Press:  14 July 2016

T. Gergely  and
T. L. Török
T. Gergely
Affiliation:
Central Research Institute for Physics, Budapest
T. L. Török
Affiliation:
Central Research Institute for Physics, Budapest
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper obtains the probability and the expectation of the length of the busy and idle periods in a discrete-time service system by means of two-component Markov chains and their first passage times. The M/G/1 model is discussed as a special case.

Keywords

QUEUESDISCRETE TIMEGI/G/1BUSY PERIODIDLE PERIODMARKOV CHAINS
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 853 - 857
Copyright
Copyright © Applied Probability Trust 1974 

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

Cohen, J. W. (1969) The Single Server Queue. North Holland, Amsterdam.Google Scholar
Dafermos, S. C. and Neuts, M. F. (1971) A single server queue in discrete time. Cahiers Centre Rech. Opérat. 13, 23–40.Google Scholar
Finch, P. D. (1961) On the busy period in the queueing system GI/G/1. J. Austral. Math. Soc. 2, 217–228.Google Scholar
Gergely, T. and Yezhow, I. I. (1972) Markov-chains homogeneous in second component. European Meeting of Statisticians, Budapest.Google Scholar