"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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