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 contribution

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
Publication statusPublished - 2009 Nov 27
EventQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications - Fusionopolis, Singapore
Duration: 2009 Jul 292009 Jul 31

Other

OtherQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications
CountrySingapore
CityFusionopolis
Period09/7/2909/7/31

Fingerprint

Orbits
Servers

Keywords

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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Computer Science Applications

Cite this

Kim, J., Kim, B., & Kim, J. (2009). Tail behavior of the queue size distribution in the M/M/mretrial queue. In QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications [14] https://doi.org/10.1145/1626553.1626567

Tail behavior of the queue size distribution in the M/M/mretrial queue. / Kim, Jerim; Kim, Bara; Kim, Jeongsim.

QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications. 2009. 14.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, J, Kim, B & Kim, J 2009, Tail behavior of the queue size distribution in the M/M/mretrial queue. in QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications., 14, QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications, Fusionopolis, Singapore, 09/7/29. https://doi.org/10.1145/1626553.1626567
Kim J, Kim B, Kim J. Tail behavior of the queue size distribution in the M/M/mretrial queue. In QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications. 2009. 14 https://doi.org/10.1145/1626553.1626567
Kim, Jerim ; Kim, Bara ; Kim, Jeongsim. / Tail behavior of the queue size distribution in the M/M/mretrial queue. QTNA 2009 - 4th International Conference on Queueing Theory and Network Applications. 2009.
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