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Author: Laurent Decreusefond
Publisher: John Wiley & Sons
ISBN: 1118563018
Category : Technology & Engineering
Languages : en
Pages : 306
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Book Description
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.
Author: Laurent Decreusefond
Publisher: John Wiley & Sons
ISBN: 1118563018
Category : Technology & Engineering
Languages : en
Pages : 306
Get Book Here
Book Description
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.
Author: Frank Kelly
Publisher: Cambridge University Press
ISBN: 1107035775
Category : Computers
Languages : en
Pages : 233
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Book Description
A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.
Author: Howard M. Taylor
Publisher: Academic Press
ISBN: 1483269272
Category : Mathematics
Languages : en
Pages : 410
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Book Description
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
Author: François Baccelli
Publisher: Now Publishers Inc
ISBN: 160198264X
Category : Computers
Languages : en
Pages : 224
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Book Description
This volume bears on wireless network modeling and performance analysis. The aim is to show how stochastic geometry can be used in a more or less systematic way to analyze the phenomena that arise in this context. It first focuses on medium access control mechanisms used in ad hoc networks and in cellular networks. It then discusses the use of stochastic geometry for the quantitative analysis of routing algorithms in mobile ad hoc networks. The appendix also contains a concise summary of wireless communication principles and of the network architectures considered in the two volumes.
Author: Oliver C. Ibe
Publisher: John Wiley & Sons
ISBN: 1118092988
Category : Mathematics
Languages : en
Pages : 263
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Book Description
An interdisciplinary approach to understanding queueing and graphical networks In today's era of interdisciplinary studies and research activities, network models are becoming increasingly important in various areas where they have not regularly been used. Combining techniques from stochastic processes and graph theory to analyze the behavior of networks, Fundamentals of Stochastic Networks provides an interdisciplinary approach by including practical applications of these stochastic networks in various fields of study, from engineering and operations management to communications and the physical sciences. The author uniquely unites different types of stochastic, queueing, and graphical networks that are typically studied independently of each other. With balanced coverage, the book is organized into three succinct parts: Part I introduces basic concepts in probability and stochastic processes, with coverage on counting, Poisson, renewal, and Markov processes Part II addresses basic queueing theory, with a focus on Markovian queueing systems and also explores advanced queueing theory, queueing networks, and approximations of queueing networks Part III focuses on graphical models, presenting an introduction to graph theory along with Bayesian, Boolean, and random networks The author presents the material in a self-contained style that helps readers apply the presented methods and techniques to science and engineering applications. Numerous practical examples are also provided throughout, including all related mathematical details. Featuring basic results without heavy emphasis on proving theorems, Fundamentals of Stochastic Networks is a suitable book for courses on probability and stochastic networks, stochastic network calculus, and stochastic network optimization at the upper-undergraduate and graduate levels. The book also serves as a reference for researchers and network professionals who would like to learn more about the general principles of stochastic networks.
Author: Daniel Battu
Publisher: John Wiley & Sons
ISBN: 1119007925
Category : Technology & Engineering
Languages : en
Pages : 398
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Book Description
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.
Author: Daniel Battu
Publisher: John Wiley & Sons
ISBN: 1848219792
Category : Technology & Engineering
Languages : en
Pages : 312
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Book Description
In an increasingly interconnected world, "Communication Networks Economy" provides the rational understanding necessary to provide universal access to communication means in an efficient way. This book presents the principal elements of the economics of a network as it stands today, taking into account experiences of technicians in the field. The author gives a simplified picture of the current situation in terms of structures and architecture of a network, bearing in mind the necessary quality of service and the profitability of investments, accompanied by references to recent economic works. An overview is given on the general themes of regulation and tariff principles, and the relations between supply and demand, from the perspectives of professional and residential users and network operators. Different aspects of the present situations of networks and the incidence of the Internet on the economy are also presented. In conclusion, the reader will obtain an overview of the most significant issues likely to influence the economics of communications networks as they are today.
Author: Jennifer Nicoll Victor
Publisher: Oxford University Press
ISBN: 0190228210
Category : Political Science
Languages : en
Pages : 1011
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Book Description
Politics is intuitively about relationships, but until recently the network perspective has not been a dominant part of the methodological paradigm that political scientists use to study politics. This volume is a foundational statement about networks in the study of politics.
Author: Khalid Al-Begain
Publisher: Springer Science & Business Media
ISBN: 3642022049
Category : Computers
Languages : en
Pages : 412
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Book Description
This book constitutes the refereed proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications, ASMTA 2009, held in Madrid, Spain, in June 2009 in conjunction with ECMS 2009, the 23nd European Conference on Modeling and Simulation. The 27 revised full papers presented were carefully reviewed and selected from 55 submissions. The papers are organized in topical sections on telecommunication networks; wireless & mobile networks; simulation; quueing systems & distributions; queueing & scheduling in telecommunication networks; model checking & process algebra; performance & reliability analysis of various systems.
Author: Laurent Decreusefond
Publisher: Springer Nature
ISBN: 3031013115
Category : Mathematics
Languages : en
Pages : 180
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Book Description
This book is not a research monograph about Malliavin calculus with the latest results and the most sophisticated proofs. It does not contain all the results which are known even for the basic subjects which are addressed here. The goal was to give the largest possible variety of proof techniques. For instance, we did not focus on the proof of concentration inequality for functionals of the Brownian motion, as it closely follows the lines of the analog result for Poisson functionals. This book grew from the graduate courses I gave at Paris-Sorbonne and Paris-Saclay universities, during the last few years. It is supposed to be as accessible as possible for students who have knowledge of Itô calculus and some rudiments of functional analysis.
