Queue length solutions for an ATM buffer with MMBP arrivals

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 genera...

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Bibliographic Details
Published inComputer communications Vol. 20; no. 10; pp. 878 - 883
Main Authors Hock, Ng Chee, Bai, Lizhou, Liren, Zhang
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 25.09.1997
Tokyo Elsevier Science
New York, NY
Subjects
Applied sciences
Asynchronous transfer mode
ATM
B-ISDNs
Buffering
Exact sciences and technology
Markov chain
MMBP
Queuing
Telecommunications
Telecommunications and information theory
Teleprocessing networks. Isdn
Valuation and optimization of characteristics. Simulation
Markov chain
MMBP
ATM
B-ISDNs
Wide band
Computer network
Bernoulli equation
Arrival process
Teletraffic
Performance analysis
Markov model
Queue
Integrated services digital network
Asynchronous transfer mode
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Summary: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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ISSN:0140-3664
1873-703X
DOI:10.1016/S0140-3664(97)00079-0