Tail behavior of the queue size distribution in the M/M/mretrial queue

Jerim Kim, Bara Kim, Jeongsim Kim

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

Abstract

We consider an M/M/m retrial queue and investigate the tail asymptotics for the joint distribution of the number of customers in the orbit and the number of busy servers in the steady state. In addition, we illustrate the tail asymptotic behavior through numerical examples.

Original languageEnglish
Title of host publicationQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications
DOIs
StatePublished - 2009
EventQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications - Fusionopolis, Singapore
Duration: 29 Jul 200931 Jul 2009

Publication series

NameQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications

Conference

ConferenceQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications
Country/TerritorySingapore
CityFusionopolis
Period29/07/0931/07/09

Keywords

  • Censored markov process
  • M/M/m retrial queue
  • Queue size distribution
  • Tail asymptotics

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