Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T05:56:08.656Z Has data issue: false hasContentIssue false
  • English
  • Français

Recurrent emptiness in a finite queue with increasing arrival rate

Published online by Cambridge University Press:  14 July 2016

Stig I. Rosenlund
Stig I. Rosenlund*
Affiliation:
Chalmers University of Technology and University of Göteborg
Get access Rights & Permissions [Opens in a new window]

Abstract

For a single-server queue with one waiting place and increasing arrival rate some necessary and sufficient conditions for infinitely many returns to emptiness with probability one are given.

Keywords

FINITE WAITING ROOMTIME-DEPENDENT QUEUEINCREASING ARRIVAL RATE
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 423 - 426
Copyright
Copyright © Applied Probability Trust 1976 

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] Newell, G. F. (1968) Queues with time-dependent arrival rates I, II, III. J. Appl. Prob. 5, 436–451, 579–590, 591–606.CrossRefGoogle Scholar
[2] Rosenlund, S. I. (1976) Busy periods in time-dependent M/G/1 queues. Adv. Appl. Prob. 8. To appear.CrossRefGoogle Scholar