Abstract
The availability of high bandwidth in optical networks coupled with the
evolution of applications such as video on demand and telemedicine create a clear
need for providing quality-of-service (QoS) guarantees in optical networks.
Proliferation of the IP-over-WDM model in these networks requires the network to
provide QoS guarantees for variable-length packets. In this context, we address the
problem of constrained traffic regulation--traffic regulation with buffer and delay
constraints--in variable-length packet networks. We use the filtering theory under
max-plus (max, +) algebra to address this problem. For a constrained
traffic-regulation problem with maximum tolerable delay and maximum buffer size, the
traffic regulator that generates g-regular output traffic minimizing the number of
discarded packets is a concatenation of the f clipper and the minimal g regulator. f
is a function of g, maximum delay, and maximum buffer size. The f clipper is a
bufferless device, which drops the packets as necessary so that its output is f
regular. The minimal g regulator is a buffered device that delays packets as
necessary so that its output is g regular. The g regulator is a linear
shift-invariant filter with impulse response g, under the (max, +)
algebra.
© 2003 Optical Society of America
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