The Markov-modulated arrival process has been widely used in modelling
traffic sources. In this paper, we model an input traffic to an ATM s
witch 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 appr
oach; both the infinite and finite buffer cases are considered. Numeri
cal results for the case of two MMBPs are also presented. (C) 1997 Els
evier Science B.V.