The analysis of a multiserver queue fed by a discrete autoregressive process of order 1

Bong Dae Choi, Bara Kim, Gang Uk Hwang, Jae Kyoon Kim

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A multiserver queue fed by a discrete autoregressive process of order 1 was analyzed. The stationary distributions of the system size and the waiting time in a multiserver queue was obtained by using matrix analytic methods and the theory of Markov regenerative processes. It was found that the distributions for the system size and the waiting time increase stochastically when either the decay rate of the autocorrelation function of the input traffics or the variance of a batch arriving in a slot increases.

Original languageEnglish
Pages (from-to)85-93
Number of pages9
JournalOperations Research Letters
Volume32
Issue number1
DOIs
Publication statusPublished - 2004 Jan

Keywords

  • DAR(1)
  • Markov regenerative theory
  • Matrix analytic methods
  • Multiserver ATM multiplexer
  • Multiserver queue
  • Performance analysis
  • Teleconference traffic

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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