Data from different applications - voice, video, file transfer, intera
ctive - will be multiplexed in the future over broadband integrated se
rvices digital networks (BISDN). Data are segmented into 48-byte block
s prefixed by a 5-byte header and transported over the network using t
he asynchronous transfer mode (ATM). An ATM connection-request is a co
ntract between the user and the network; the user specifies a rate req
uirement, delay constraints, a bound on the cell-loss probability and
other quality of service parameters, If the network can meet these req
uirements, a connection is made. Bursty traffic producing peak traffic
rates in excess of the projected average rate could result in congest
ion and lead to performance degradation. As a result, the network migh
t no longer be able to deliver the negotiated quality of service to ex
isting connections. To lessen the chance of congestion, input rate con
trol must be implemented. This paper contains a performance analysis o
f the sticky buffer (SE), a moving window input rate control scheme in
tended to limit the rate at which input traffic may enter a network. P
olicing is achieved by buffering and hence delaying the entry of ATM-c
ells into the network. The scheme is determined by parameters (R, T) w
hich specify that no more than R ATM-cells are permitted to enter the
network in every window of size T cells. We present an exact analysis,
deriving the probability generating function of the queue length dist
ribution. A comparison with the leaky bucket is given. Our numerical e
xamples show the required buffer size is comparable to that required b
y the leaky bucket.