Analysis of the MX/ G/ 1 retrial queue

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival MX/ G/ 1 retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.

Original languageEnglish
Pages (from-to)193-210
Number of pages18
JournalAnnals of Operations Research
Volume247
Issue number1
DOIs
Publication statusPublished - 2016 Dec 1

Keywords

  • Batch arrivals
  • Queue length distribution
  • Retrial queue
  • Waiting time distribution

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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