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Analytical Performance Evaluation
The success of computer and
communication systems strongly depends on their performance, typically
reflected in the perception of speed. Optimizing system performance,
subject to a set of resource and cost constraints, is thus a critical
design goal for system engineers. An elegant technique to help in this
matter is performance evaluation which can be performed either by
measurements, simulation, or using theoretical methods. In particular,
analytical performance evaluation has the fundamental merit of rapidly
leading to rigorous and unequivocal insight into the behavior of
systems which can be accordingly tuned and optimized.
Our
own research is concerned with extending the theory of the stochastic
network calculus, which is a probabilistic extension of the
deterministic network calculus conceived by R. Cruz in the early
1990's. Over the past two decades the calculus has established itself
as a versatile alternative methodology to the classical queueing
theory for the performance analysis of computer and communication
networks. Its prospect is that it can deal with problems that are
fundamentally hard for queueing theory, based on the fact that it
works with bounds rather than striving for exact solutions. We are in
particular concerned with various fundamental research problems
related to modelling and analyzing networks with flow transformations,
or improving the bounds accuracy using refined inequalities. On the
long term, we believe that our research can significantly contribute
to establishing the stochastic network calculus as an indispensable
mathematical tool for the performance analysis of resource sharing
based systems.
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