Stochastic Modeling And Analysis Of Telecoms Networks
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Stochastic Modeling and Analysis of Telecom Networks
Author: Laurent Decreusefond
language: en
Publisher: John Wiley & Sons
Release Date: 2012-12-27
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.
Stochastic Modeling and Analysis of Telecoms Networks
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.
New Telecom Networks
Nowadays, the Internet has become an irreplaceable tool, feeding us information about new innovations and the evolution of the markets relating to all human activities. What the Internet lacks, though, is a guiding narrative thread, which is crucial to understand the evolution from old technologies into the technologies available today, and to benefit from the commentary which could elucidate that process of evolution. In spite of its inherent richness, no encyclopedia can constitute the one and only referential information source. The actors involved also have the right to be heard: all those who have devoted their working lives to the collective effort of edifying networks can, of course, present their personal views about the evolution of the world of telecommunications, and thus provide invaluable testimony to companies in this area who can make use of it. It is that approach which is adopted in this book. Whilst the primary objective of this book is to encourage SMEs to use digital technologies, and help them to organize with that goal in mind, it has proved necessary to describe the transformations currently under way in the field of networks, and to outline the efforts to obtain a competitive edge in terms of clerical applications, compare the various techniques that are available for high data rate communications, and touch upon the advent of the "Internet of Things", cloud computing and various new multimedia technologies. All in all, this book should help companies – particularly SMEs – to garner overall information about the current movement in the area of networking, and assist them in putting in place and managing their own communications systems.