Stochastic Network Calculus PDF Download
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Author | : Yuming Jiang |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2009-03-01 |
Genre | : Computers |
ISBN | : 1848001274 |
Download Stochastic Network Calculus Book in PDF, ePub and Kindle
Network calculus is a theory dealing with queuing systems found in computer networks. Its focus is on performance guarantees. Central to the theory is the use of alternate algebras such as the min-plus algebra to transform complex network systems into analytically tractable systems. To simplify the ana- sis, another idea is to characterize tra?c and service processes using various bounds. Since its introduction in the early 1990s, network calculus has dev- oped along two tracks—deterministic and stochastic. This book is devoted to summarizing results for stochastic network calculus that can be employed in the design of computer networks to provide stochastic service guarantees. Overview and Goal Like conventional queuing theory, stochastic network calculus is based on properly de?ned tra?c models and service models. However, while in c- ventional queuing theory an arrival process is typically characterized by the inter-arrival times of customers and a service process by the service times of customers, the arrival process and the service process are modeled in n- work calculus respectively by some arrival curve that (maybe probabilis- cally) upper-bounds the cumulative arrival and by some service curve that (maybe probabilistically) lower-bounds the cumulative service. The idea of usingboundstocharacterizetra?candservicewasinitiallyintroducedfor- terministic network calculus. It has also been extended to stochastic network calculus by exploiting the stochastic nature of arrival and service processes.
Author | : Jiang |
Publisher | : |
Total Pages | : 251 |
Release | : 2009-10-01 |
Genre | : |
ISBN | : 9788184894264 |
Download Stochastic Network Calculus Book in PDF, ePub and Kindle
Author | : Felix Poloczek |
Publisher | : |
Total Pages | : 364 |
Release | : 2016 |
Genre | : Computer networks |
ISBN | : |
Download Stochastic Network Calculus with Martingales Book in PDF, ePub and Kindle
Author | : Florin Ciucu |
Publisher | : |
Total Pages | : 386 |
Release | : 2007 |
Genre | : |
ISBN | : 9780549208679 |
Download Scaling Properties in the Stochastic Network Calculus Book in PDF, ePub and Kindle
Another technical contribution is the application of supermartingales based techniques in order to evaluate sample-path bounds in the stochastic network calculus. These techniques are suitable to arrival processes with stationary and independent increments, and improve the performance bounds obtained with existing techniques.
Author | : Oliver C. Ibe |
Publisher | : John Wiley & Sons |
Total Pages | : 263 |
Release | : 2011-08-24 |
Genre | : Mathematics |
ISBN | : 1118092988 |
Download Fundamentals of Stochastic Networks Book in PDF, ePub and Kindle
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 | : Michael Beck |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download Advances in Theory and Applicability of Stochastic Network Calculus Book in PDF, ePub and Kindle
Author | : Philippe Robert |
Publisher | : Springer Science & Business Media |
Total Pages | : 406 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662130521 |
Download Stochastic Networks and Queues Book in PDF, ePub and Kindle
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.
Author | : Markus Fidler |
Publisher | : |
Total Pages | : 133 |
Release | : 2008 |
Genre | : |
ISBN | : |
Download Deterministic and Stochastic Service Curve Models in the Network Calculus Book in PDF, ePub and Kindle
Author | : Jean-Yves Le Boudec |
Publisher | : Springer |
Total Pages | : 280 |
Release | : 2003-08-06 |
Genre | : Computers |
ISBN | : 3540453180 |
Download Network Calculus Book in PDF, ePub and Kindle
Network Calculus is a set of recent developments that provide deep insights into flow problems encountered in the Internet and in intranets. The first part of the book is a self-contained, introductory course on network calculus. It presents the core of network calculus, and shows how it can be applied to the Internet to obtain results that have physical interpretations of practical importance to network engineers. The second part serves as a mathematical reference used across the book. It presents the results from Min-plus algebra needed for network calculus. The third part contains more advanced material. It is appropriate reading for a graduate course and a source of reference for professionals in networking by surveying the state of the art of research and pointing to open problems in network calculus and its application in different fields, such as mulitmedia smoothing, aggegate scheduling, adaptive guarantees in Internet differential services, renegotiated reserved services, etc.
Author | : Frank Kelly |
Publisher | : Cambridge University Press |
Total Pages | : 233 |
Release | : 2014-02-27 |
Genre | : Mathematics |
ISBN | : 1107729475 |
Download Stochastic Networks Book in PDF, ePub and Kindle
Communication networks underpin our modern world, and provide fascinating and challenging examples of large-scale stochastic systems. Randomness arises in communication systems at many levels: for example, the initiation and termination times of calls in a telephone network, or the statistical structure of the arrival streams of packets at routers in the Internet. How can routing, flow control and connection acceptance algorithms be designed to work well in uncertain and random environments? This compact introduction illustrates how stochastic models can be used to shed light on important issues in the design and control of communication networks. It will appeal to readers with a mathematical background wishing to understand this important area of application, and to those with an engineering background who want to grasp the underlying mathematical theory. Each chapter ends with exercises and suggestions for further reading.