A network's decision to accommodate a new ATM connection is based in p
art on sustained and peak cell rate and peak duration declared by the
user in the connection request. As these traffic descriptors are only
projections of the traffic, connection admission control must be suppl
emented by input rate control in order to monitor and regulate the act
ual traffic. None of the proposed input rate control schemes enforces
multiple traffic parameters. Additionally, traffic shaping at the UNI
based on regulating average and peak rates may enhance statistical mul
tiplexing performance. This paper presents a performance analysis of t
he two-stage entry monitor combining a sticky buffer policer with a sp
acer. To the best of our knowledge, no analysis of tandem policers has
appeared before this paper. The first stage enforces the sustained ra
te R/T negotiated in the connection request; the spacer shapes the tra
ffic and controls burstiness by further ensuring that cells enter the
network at least S slots apart. We derive the probability generating f
unction for the combined queue length distribution and evaluate numeri
cally (i) the manner in which S and burstiness affect the cell loss pr
obability, and (ii) the performance penalty caused by enforcing two ra
tes. The principal contribution of this paper is the calculation of th
e buffer size required to police two parameters subject to a specified
cell-loss ratio. Our principal conclusion is that the increase in buf
fer size needed to police the peak sustained rate in addition to the s
ustained rate is minimal. We will also demonstrate that the leaky buck
et and the single-stage sticky buffer have comparable performance, ena
bling us to conclude that a two-stage sticky buffer can police both pe
ak and sustained rates for almost the same cost as a leaky bucket.