Queue length solutions for an ATM buffer with MMBP arrivals

Ng Chee Hock; Bai Lizhou; Zhang Liren

doi:10.1016/s0140-3664(97)00079-0

Queue length solutions for an ATM buffer with MMBP arrivals

Ng Chee Hock, Bai Lizhou, Zhang Liren

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

4 Citations (Scopus)

Abstract

The Markov-modulated arrival process has been widely used in modelling traffic sources. In this paper, we model an input traffic to an ATM switch as a Markov-modulated Bernoulli process (MMBP), and analyse the queuing behaviour of a buffer fed with N identical MMBP sources using a probability generating function coupled with a matrix geometric approach; both the infinite and finite buffer cases are considered. Numerical results for the case of two MMBPs are also presented

Original language	English
Pages (from-to)	878-883
Number of pages	6
Journal	Computer Communications
Volume	20
Issue number	10
DOIs	https://doi.org/10.1016/s0140-3664(97)00079-0
Publication status	Published - Sept 25 1997
Externally published	Yes

Keywords

ATM
B-ISDNs
MMBP
Markov chain

ASJC Scopus subject areas

Computer Networks and Communications

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10.1016/s0140-3664(97)00079-0

Cite this

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abstract = "The Markov-modulated arrival process has been widely used in modelling traffic sources. In this paper, we model an input traffic to an ATM switch as a Markov-modulated Bernoulli process (MMBP), and analyse the queuing behaviour of a buffer fed with N identical MMBP sources using a probability generating function coupled with a matrix geometric approach; both the infinite and finite buffer cases are considered. Numerical results for the case of two MMBPs are also presented",

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AU - Hock, Ng Chee

AU - Lizhou, Bai

AU - Liren, Zhang

PY - 1997/9/25

Y1 - 1997/9/25

N2 - The Markov-modulated arrival process has been widely used in modelling traffic sources. In this paper, we model an input traffic to an ATM switch as a Markov-modulated Bernoulli process (MMBP), and analyse the queuing behaviour of a buffer fed with N identical MMBP sources using a probability generating function coupled with a matrix geometric approach; both the infinite and finite buffer cases are considered. Numerical results for the case of two MMBPs are also presented

AB - The Markov-modulated arrival process has been widely used in modelling traffic sources. In this paper, we model an input traffic to an ATM switch as a Markov-modulated Bernoulli process (MMBP), and analyse the queuing behaviour of a buffer fed with N identical MMBP sources using a probability generating function coupled with a matrix geometric approach; both the infinite and finite buffer cases are considered. Numerical results for the case of two MMBPs are also presented

KW - ATM

KW - B-ISDNs

KW - MMBP

KW - Markov chain

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JO - Computer Communications

JF - Computer Communications

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ER -

Queue length solutions for an ATM buffer with MMBP arrivals

Abstract

Keywords

ASJC Scopus subject areas

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