Stochastic Modeling and Analysis of Telecom Networks (Hardcover)

Laurent Decreusefond

ISBN 10: 1848212380 / ISBN 13: 9781848212381

Published by ISTE Ltd and John Wiley & Sons Inc, London, 2012

About this Item

Hardcover. This book addresses the stochastic modeling of telecommunication networks, introducing the main mathematical tools for that purpose, such as Markov processes, real and spatial point processes and stochastic recursions, and presenting a wide list of results on stability, performances and comparison of systems. The authors propose a comprehensive mathematical construction of the foundations of stochastic network theory: Markov chains, continuous time Markov chains are extensively studied using an original martingale-based approach. A complete presentation of stochastic recursions from an ergodic theoretical perspective is also provided, as well as spatial point processes. Using these basic tools, stability criteria, performance measures and comparison principles are obtained for a wide class of models, from the canonical M/M/1 and G/G/1 queues to more sophisticated systems, including the current hot topics of spatial radio networking, OFDMA and real-time networks. Contents 1. Introduction. Part 1: Discrete-time Modeling 2. Stochastic Recursive Sequences. 3. Markov Chains. 4. Stationary Queues. 5. The M/GI/1 Queue. Part 2: Continuous-time Modeling 6. Poisson Process. 7. Markov Process. 8. Systems with Delay. 9. Loss Systems. Part 3: Spatial Modeling 10. Spatial Point Processes. This book addresses the stochastic modeling of telecommunication networks, introducing the main mathematical tools for that purpose, such as Markov processes, real and spatial point processes and stochastic recursions, and presenting a wide list of results on stability, performances and comparison of systems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781848212381

Bibliographic Details

• Title: Stochastic Modeling and Analysis of Telecom Networks (Hardcover)
• Publisher: ISTE Ltd and John Wiley & Sons Inc, London
• Publication Date: 2012
• Language: English
• ISBN 10: 1848212380
• ISBN 13: 9781848212381
• Binding: Hardcover
• Edition: 1st Edition
• Condition: new

About this title

Synopsis

This book addresses the stochastic modeling of telecommunication networks, introducing the main mathematical tools for that purpose, such as Markov processes, real and spatial point processes and stochastic recursions, and presenting a wide list of results on stability, performances and comparison of systems.

The authors propose a comprehensive mathematical construction of the foundations of stochastic network theory: Markov chains, continuous time Markov chains are extensively studied using an original martingale-based approach. A complete presentation of stochastic recursions from an ergodic theoretical perspective is also provided, as well as spatial point processes.

Using these basic tools, stability criteria, performance measures and comparison principles are obtained for a wide class of models, from the canonical M/M/1 and G/G/1 queues to more sophisticated systems, including the current “hot topics” of spatial radio networking, OFDMA and real-time networks.

About the Author

Laurent Decreusefond is Full Professor at Télécom ParisTech (one of the most prestigious engineering schools in France), where he is part of the Computer Sciences and Networking department. He has published many research papers in high-level international journals, on queuing theory, stochastic analysis, random graphs and stochastic geometry.

Pascal Moyal is currently Associate Professor in the Applied Mathematics department of Compiègne University of Technology in France, after previously holding a one year invited researcher and lecturer position at the New Jersey Institute of Technology in the USA. He has published many research papers in high-level international journals, on queuing theory, ergodic theory and random graphs.