Performance Guarantees in Communication Networks

✍ Scribed by Cheng-Shang Chang PhD (auth.)

• Publisher: Springer-Verlag London
• Year: 2000
• Tongue: English
• Leaves: 401
• Series: Telecommunication Networks and Computer Systems
• Edition: 1
• Category: Library

✦ Synopsis

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 telecommunications-network performance this book consists of two parts. The first introduces the recently-developed filtering theory for providing deterministic (hard) guarantees, such as bounded delay and queue length. The filtering theory is developed under the min-plus 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 min-plus 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 variable-length 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 q-envelope rates
- The large deviation principle
- The theory of effective bandwidth
The 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 short-range dependent inputs and long-range dependent inputs.

✦ Table of Contents

Front Matter....Pages I-XX
Front Matter....Pages 17-17
(σ, ρ)-calculus....Pages 3-22
Filtering Theory for Deterministic Traffic Regulation and Service Guarantees....Pages 23-107
Traffic Specification....Pages 109-133
Networks with Multiple Inputs and Outputs....Pages 135-159
Constrained Traffic Regulation and Dynamic Service Guarantees....Pages 161-190
Filtering Theory for Networks with Variable Length Packets....Pages 191-233
Front Matter....Pages 235-235
(σ(θ), ρ(θ))-calculus and θ-envelope Rates....Pages 237-259
Introduction of the Large Deviation Principle....Pages 261-290
The Theory of Effective Bandwidth....Pages 291-378
Back Matter....Pages 379-392

✦ Subjects

Communications Engineering, Networks