Research: Queue length solutions for an ATM buffer with MMBP arrivals

Authors:
Ng Chee Hock;Lizhou Bai;Zhang Liren
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore
Venue:
Computer Communications
Year:
1997

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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.