Performance Guarantees in Communication Networks (Telecommunication Networks and Computer Systems),Used

Performance Guarantees in Communication Networks (Telecommunication Networks and Computer Systems),Used

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Providing performance guarantees is one of the most important issues for future telecommunication networks. This book describes theoretical developments in performance guarantees for telecommunication networks from the last decade. Written for the benefit of graduate students and scientists interested in telecommunicationsnetwork performance this book consists of two parts. The first introduces the recentlydeveloped filtering theory for providing deterministic (hard) guarantees, such as bounded delay and queue length. The filtering theory is developed under the minplus algebra, where one replaces the usual addition with the min operator and the usual multiplication with the addition operator. As in the classical linear system theory, the filtering theory treats an arrival process (or a departure process ) as a signal and a network element as a system. Network elements, including traffic regulators and servers, can be modelled as linear filters under the minplus algebra, and they can be joined by concatenation, 'filter bank summation', and feedback to form a composite network element. The problem of providing deterministic guarantees is equivalent to finding the impulse response of composite network elements. This section contains material on: (s, r)calculus Filtering theory for deterministic traffic regulation, service guarantees and networks with variablelength packets Traffic specification Networks with multiple inputs and outputs Constrained traffic regulation The second part of the book addresses stochastic (soft) guarantees, focusing mainly on tail distributions of queue lengths and packet loss probabilities and contains material on: (s(q), r(q))calculus and qenvelope rates The large deviation principle The theory of effective bandwidthThe mathematical theory for stochastic guarantees is the theory of effective bandwidth. Based on the large deviation principle, the theory of effective bandwidth provides approximations for the bandwidths required to meet stochastic guarantees for both shortrange dependent inputs and longrange dependent inputs.

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