Asynchronous Transfer Mode (ATM) Broadband Networks are expected to pr
ovide a large number of services and applications. A predominant servi
ce will be the support of multimedia traffic applications that integra
te different types of traffic (e.g., video, voice and data) over the s
ame connection. The heterogeneous traffic-types differ, widely, not on
ly in their individual bit-rates but also in their corresponding corre
lations and burstiness parameters. Access flow control algorithms are
required to enforce and maintain a specific QOS for each type of traff
ic. In this paper, we present an effective access flow control algorit
hm that can be applied at the user to network interface (UNI). The sch
eme is based upon a preventive control principle and uses a control si
gnal, that is function of the buffer occupancy level, to control the s
ource coder sampling rate. The scheme avoids congestion and enhances t
he statistical multiplexing gain, consequently providing a higher band
width utilization for each QOS. We provide a performance analysis stud
y, supported by simulations, of the access node multiplexer. We studie
d the resulting Quasi Birth Death queueing process, with state dependa
nt arrivals, using matrix-geometric techniques, and found that both MM
PP/Er/1/K and the Poisson Process approximations provided very close r
esults for an ATM multiplexer with small buffer size and access contro
l.