Moments of the queue size distribution in the MAP/G/1 retrial queue

Jeongsim Kim, Bara Kim, Jerim Kim

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider an MAP/G/1 retrial queue. A necessary and sufficient condition is obtained for the existence of the moments of the queue size distribution. The condition is expressed in terms of the moment condition for a service time distribution. In addition, we provide recursive formulas for the moments of the queue size distribution. Numerical examples are given to illustrate our results.

Original languageEnglish
Pages (from-to)1212-1219
Number of pages8
JournalComputers and Operations Research
Volume37
Issue number7
DOIs
Publication statusPublished - 2010 Jul 1

Keywords

  • MAP/G/1 retrial queue
  • Perron-Frobenius eigenvalue
  • Perron-Frobenius eigenvector
  • Queue size distribution

ASJC Scopus subject areas

  • Computer Science(all)
  • Management Science and Operations Research
  • Modelling and Simulation

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