"Statistical multiplexing gain of link scheduling algorithms
in QoS networks" ,
August 1999.
A statistical network service which allows a certain fraction of traffic
to not meet its QoS guarantees can extract additional capacity from a network.
Here we consider a service which assumes statistical independence of
flows, but does not make any assumptions on the statistics of traffic
sources, other than that they are regulated, e.g., by a leaky bucket.
Under these conditions, we construct so-called effective envelopes,
which are, with high degree of
certainty, upper bounds for multiplexed traffic. We show that
these envelopes can be used to obtain lower bounds
on the amount of traffic on a link that can be provisioned
with statistical QoS. A key advantage of our bounds is
that they can be applied with a variety of
scheduling algorithms. In fact, we show
that one can reuse existing admission control functions that
are available for scheduling algorithms with a deterministic service.
We present numerical examples which compare the number of flows
with our effective envelope approach to those achieved
with existing methods.
KEY WORDS:
Quality-of-Service, statistical multiplexing, scheduling, effective envelope.
 
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