Analysis of the M/D/1-type queue based on an integer-valued first-order autoregressive process

Soohan Ahn; Gyemin Lee; Jongwoo Jeon

doi:10.1016/S0167-6377(00)00047-X

Analysis of the M/D/1-type queue based on an integer-valued first-order autoregressive process

Soohan Ahn
, Gyemin Lee
, Jongwoo Jeon

Department of Statistics

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

11 Scopus citations

Abstract

In this paper, we propose a queueing model based on an integer-valued first-order autoregressive (INAR(1)) process. We derive the queue length distribution and its asymptotic decay rate of the proposed model. Also, our numerical study shows that the new model can be considered as an alternative approach to the well-known MMPP/D/1 queue in terms of performance and amount of computational work.

Original language	English
Pages (from-to)	235-241
Number of pages	7
Journal	Operations Research Letters
Volume	27
Issue number	5
DOIs	https://doi.org/10.1016/S0167-6377(00)00047-X
State	Published - Dec 2000

Keywords

Asymptotic decay rate
INAR(1) process
MMPP/D/1 queue

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10.1016/S0167-6377(00)00047-X

Cite this

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abstract = "In this paper, we propose a queueing model based on an integer-valued first-order autoregressive (INAR(1)) process. We derive the queue length distribution and its asymptotic decay rate of the proposed model. Also, our numerical study shows that the new model can be considered as an alternative approach to the well-known MMPP/D/1 queue in terms of performance and amount of computational work.",

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N2 - In this paper, we propose a queueing model based on an integer-valued first-order autoregressive (INAR(1)) process. We derive the queue length distribution and its asymptotic decay rate of the proposed model. Also, our numerical study shows that the new model can be considered as an alternative approach to the well-known MMPP/D/1 queue in terms of performance and amount of computational work.

AB - In this paper, we propose a queueing model based on an integer-valued first-order autoregressive (INAR(1)) process. We derive the queue length distribution and its asymptotic decay rate of the proposed model. Also, our numerical study shows that the new model can be considered as an alternative approach to the well-known MMPP/D/1 queue in terms of performance and amount of computational work.

KW - Asymptotic decay rate

KW - INAR(1) process

KW - MMPP/D/1 queue

UR - https://www.scopus.com/pages/publications/0034516020

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EP - 241

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ER -

Analysis of the M/D/1-type queue based on an integer-valued first-order autoregressive process

Abstract

Keywords

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