Reversibility and Stochastic Networks

Reversibility and Stochastic Networks

Author: F. P. Kelly

Publisher: Cambridge University Press

Published: 2011-06-30

Total Pages: 311

ISBN-13: 1107401151

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This timeless classic is back in print. Enjoyable reading for anyone interested in stochastic processes.


Stochastic Networks

Stochastic Networks

Author: Frank Kelly

Publisher: Cambridge University Press

Published: 2014-02-27

Total Pages: 233

ISBN-13: 1107035775

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A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.


Fundamentals of Queueing Networks

Fundamentals of Queueing Networks

Author: Hong Chen

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 407

ISBN-13: 1475753012

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This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.


Stochastic Networks and Queues

Stochastic Networks and Queues

Author: Philippe Robert

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 406

ISBN-13: 3662130521

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Queues and stochastic networks are analyzed in this book with purely probabilistic methods. The purpose of these lectures is to show that general results from Markov processes, martingales or ergodic theory can be used directly to study the corresponding stochastic processes. Recent developments have shown that, instead of having ad-hoc methods, a better understanding of fundamental results on stochastic processes is crucial to study the complex behavior of stochastic networks. In this book, various aspects of these stochastic models are investigated in depth in an elementary way: Existence of equilibrium, characterization of stationary regimes, transient behaviors (rare events, hitting times) and critical regimes, etc. A simple presentation of stationary point processes and Palm measures is given. Scaling methods and functional limit theorems are a major theme of this book. In particular, a complete chapter is devoted to fluid limits of Markov processes.


Processing Networks

Processing Networks

Author: J. G. Dai

Publisher: Cambridge University Press

Published: 2020-10-15

Total Pages: 405

ISBN-13: 1108488897

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The state of the art in fluid-based methods for stability analysis, giving researchers and graduate students command of the tools.


Essentials of Stochastic Processes

Essentials of Stochastic Processes

Author: Richard Durrett

Publisher: Springer

Published: 2016-11-07

Total Pages: 282

ISBN-13: 3319456148

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Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.


Network Traffic Engineering

Network Traffic Engineering

Author: Andrea Baiocchi

Publisher: John Wiley & Sons

Published: 2020-07-24

Total Pages: 816

ISBN-13: 111963251X

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A comprehensive guide to the concepts and applications of queuing theory and traffic theory Network Traffic Engineering: Models and Applications provides an advanced level queuing theory guide for students with a strong mathematical background who are interested in analytic modeling and performance assessment of communication networks. The text begins with the basics of queueing theory before moving on to more advanced levels. The topics covered in the book are derived from the most cutting-edge research, project development, teaching activity, and discussions on the subject. They include applications of queuing and traffic theory in: LTE networks Wi-Fi networks Ad-hoc networks Automated vehicles Congestion control on the Internet The distinguished author seeks to show how insight into practical and real-world problems can be gained by means of quantitative modeling. Perfect for graduate students of computer engineering, computer science, telecommunication engineering, and electrical engineering, Network Traffic Engineering offers a supremely practical approach to a rapidly developing field of study and industry.


Adventures in Stochastic Processes

Adventures in Stochastic Processes

Author: Sidney I. Resnick

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 640

ISBN-13: 1461203872

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Stochastic processes are necessary ingredients for building models of a wide variety of phenomena exhibiting time varying randomness. This text offers easy access to this fundamental topic for many students of applied sciences at many levels. It includes examples, exercises, applications, and computational procedures. It is uniquely useful for beginners and non-beginners in the field. No knowledge of measure theory is presumed.