Analysis of a Markovian feedback queue with multi-class customers

Jerim Kim, Bara Kim, Hsing Luh

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

Abstract

We consider an M/G/1 Markovian feedback queue with multiclass customers. We derive functional equations for the stationary distribution of the queue size and the total response time. A system of linear equations is also derived for the moments of the queue size and the total response time distributions. The mean and the variance of the queue size and the total response time can be computed by solving the system of linear equations.

Original languageEnglish
Title of host publicationProceedings of the 11th International Conference on Queueing Theory and Network Applications, QTNA 2016
PublisherAssociation for Computing Machinery
ISBN (Electronic)9781450348423
DOIs
StatePublished - 13 Dec 2016
Event11th International Conference on Queueing Theory and Network Applications, QTNA 2016 - Wellington, New Zealand
Duration: 13 Dec 201615 Dec 2016

Publication series

NameACM International Conference Proceeding Series

Conference

Conference11th International Conference on Queueing Theory and Network Applications, QTNA 2016
Country/TerritoryNew Zealand
CityWellington
Period13/12/1615/12/16

Keywords

  • Markovian feedback queue
  • Multi-class customer
  • Queue size
  • Total response time

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