Stochastic Modeling and Analysis of Telecom Networks (ePub)
(Sprache: Englisch)
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...
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...
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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.
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.
Autoren-Porträt von Laurent Decreusefond, Pascal Moyal
Pascal Moyal is an associate Professor in the Applied Math. Department of Université de Technologie de Compigne, France.
Bibliographische Angaben
- Autoren: Laurent Decreusefond , Pascal Moyal
- 2012, 1. Auflage, 388 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1118563018
- ISBN-13: 9781118563014
- Erscheinungsdatum: 27.12.2012
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eBook Informationen
- Dateiformat: ePub
- Größe: 5.76 MB
- Mit Kopierschutz
Sprache:
Englisch
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