Analysis of discrete-time Geo/G/1 queue under the D-policy

Se Won Lee, Ho Woo Lee, Jung Woo Baek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

In this paper, we present a theoretical and analytical framework to analyze the discrete-time queue in which the on-off of the server is controlled by workload threshold. For this purpose, we consider the discrete-time Geo/G/1 queue under the D-policy. We derive the queue length, waiting time, sojourn time distributions and the mean performance measures. We then perform numerical computations to see the effect of the threshold and the variability of the service time distributions on the system performance. We will also see if our discrete-time results can approximate the continuous-time M/G/1/D-policy queueing system. The approach of this paper can be used as a basis for the analysis of more complex queueing systems in which the server is controlled by workload.

Original languageEnglish
Title of host publication6th International Conference on Queueing Theory and Network Applications, QTNA 2011 - Proceedings
Pages107-115
Number of pages9
DOIs
StatePublished - 2011
Event6th International Conference on Queueing Theory and Network Applications, QTNA 2011 - Seoul, Korea, Republic of
Duration: 23 Aug 201126 Aug 2011

Publication series

Name6th International Conference on Queueing Theory and Network Applications, QTNA 2011 - Proceedings

Conference

Conference6th International Conference on Queueing Theory and Network Applications, QTNA 2011
Country/TerritoryKorea, Republic of
CitySeoul
Period23/08/1126/08/11

Keywords

  • D-policy
  • discrete-time queue
  • workload control

Fingerprint

Dive into the research topics of 'Analysis of discrete-time Geo/G/1 queue under the D-policy'. Together they form a unique fingerprint.

Cite this