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

doi:10.1016/S0167-6377(03)00068-3

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 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 language	English
Pages (from-to)	85-93
Number of pages	9
Journal	Operations Research Letters
Volume	32
Issue number	1
DOIs	https://doi.org/10.1016/S0167-6377(03)00068-3
Publication status	Published - 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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10.1016/S0167-6377(03)00068-3

Cite this

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title = "The analysis of a multiserver queue fed by a discrete autoregressive process of order 1",

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.",

keywords = "DAR(1), Markov regenerative theory, Matrix analytic methods, Multiserver ATM multiplexer, Multiserver queue, Performance analysis, Teleconference traffic",

author = "Choi, {Bong Dae} and Bara Kim and Hwang, {Gang Uk} and Kim, {Jae Kyoon}",

note = "Funding Information: This work was supported by Korea Research Foundation Grant (KRF-2001-042-D00009). ",

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AU - Choi, Bong Dae

AU - Kim, Bara

AU - Hwang, Gang Uk

AU - Kim, Jae Kyoon

N1 - Funding Information: This work was supported by Korea Research Foundation Grant (KRF-2001-042-D00009).

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N2 - 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.

AB - 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.

KW - DAR(1)

KW - Markov regenerative theory

KW - Matrix analytic methods

KW - Multiserver ATM multiplexer

KW - Multiserver queue

KW - Performance analysis

KW - Teleconference traffic

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VL - 32

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JO - Operations Research Letters

JF - Operations Research Letters

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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