Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T16:33:55.089Z Has data issue: false hasContentIssue false
  • English
  • Français

Some more results for the stable M/G/1 queue in heavy traffic

Published online by Cambridge University Press:  14 July 2016

Teunis J. Ott
Teunis J. Ott*
Affiliation:
University of Texas at Dallas
*
∗Present address: Bell Laboratories, Room 3B516, Holmdel, N.J. 07733, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

In a previous paper the author derived some results describing the tail-behavior of the busy time distribution function B of a stable M/G/1 queue in heavy traffic, i.e., some results were given for B (t), t large. In this paper some complementary results are given, in the same heavy-traffic situation, for B (t), t small.

Keywords

M/G/1 QUEUEHEAVY TRAFFICBUSY PERIODS
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 1 , March 1979 , pp. 187 - 197
Copyright
Copyright © Applied Probability Trust 1979 

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] Abramowitz, M. and Stegun, I. A. (1965) Handbook of Mathematical Functions. U.S. Government Printing Office, Washington, D.C.Google Scholar
[2] Ott, T. J. (1977) The covariance function of the virtual waiting time process in an M/G/1 queue. Adv. Appl. Prob. 9, 158–168.Google Scholar
[3] Ott, T. J. (1977) The stable M/G/1 queue in heavy traffic and its covariance function. Adv. Appl. Prob. 9, 169–186.CrossRefGoogle Scholar
[4] Loève, M. (1955) Probability Theory. Van Nostrand, Princeton, N.J.Google Scholar