Analysis of the MX/ G/ 1 retrial queue

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticlepeer-review

2 Citations (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

Bibliographical note

Funding Information:
We are grateful to the reviewers for their valuable comments and suggestions, which improved this paper. B. Kim’s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2014R1A2A2A01005831). J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A4A01003813).

Publisher Copyright:
© 2015, Springer Science+Business Media New York.

Keywords

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

ASJC Scopus subject areas

  • General Decision Sciences
  • Management Science and Operations Research

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