| Title | Large Deviations for Gaussian Queues: Modelling Communication Networks |
| Author(s) | Michel Mandjes |
| Publisher | Wiley |
| Year | 2007 |
| Edition | 1st edition |
| Language | English |
| Pages | 326 pages |
| ISBN | 9780470017236 |
| Genre / Domain | Applied Mathematics, Telecommunication Engineering |
| Size | 1.79 MB |
| Extension |
Summary
"Large Deviations for Gaussian Queues: Modelling Communication Networks" by Michel Mandjes is a seminal work that addresses the growing importance of Gaussian processes in the analysis of modern communication networks. Published in 2007, this book provides a rigorous yet accessible introduction to the application of large deviations theory to queuing systems that are crucial for understanding network performance . Mandjes expertly illustrates how the Gaussian traffic model, with its flexibility to handle both long-range and short-range dependent input streams, provides a unified mathematical framework for analyzing complex network behavior .
At its core, the book delves into the theoretical concepts and practical considerations of Gaussian traffic models and the corresponding queuing analysis. It thoroughly reviews recent research developments, focusing on rare-event analysis through various asymptotic techniques . A key strength is its exploration of both single-node FIFO queuing systems and more complex scheduling disciplines and queuing networks, offering a comprehensive view of the subject . The text is structured to build from fundamental concepts to advanced topics, including the analysis of large-buffer and many-sources regimes, which are critical for understanding network congestion and quality of service .
This book is an invaluable resource for practitioners and researchers, providing a collection of illustrative examples that address significant practical issues in communication networking . It equips readers with the analytical tools needed to model and predict network performance, which is essential for designing efficient and reliable communication systems. The inclusion of a substantial set of instructive exercises with detailed solutions further enhances its practical value, allowing readers to apply the concepts and develop a deeper understanding of the material .
The primary audience for this text includes postgraduate students in applied probability, operations research, computer science, and electrical engineering . Its self-contained format also makes it an excellent reference for practitioners in the communications networking industry and researchers in related fields who require a solid understanding of the mathematical underpinnings of network traffic modeling . While the book assumes minimal prior knowledge, it is best suited for those with a foundational background in probability and stochastic processes, enabling them to fully appreciate the advanced topics covered .
Michel Mandjes' work has gained significant recognition for its clarity and depth, establishing itself as a key reference in the field of teletraffic engineering and applied probability . Its publication by Wiley further attests to its academic standing and relevance. By bridging the gap between theoretical mathematics and practical networking challenges, this book has become an essential resource for anyone seeking to master the complexities of communication network modeling and performance analysis .
Key Features
- Provides a comprehensive introduction to Gaussian traffic models and their application to communication networks .
- Focuses on rare-event analysis using large deviations theory and various asymptotic techniques .
- Explores both single-node FIFO queuing systems and complex scheduling disciplines and networks .
- Includes a collection of illustrative examples addressing practical issues in communication networking .
- Contains a substantial set of instructive exercises with detailed solutions for self-study .
- Requires minimal prior knowledge, making it accessible to postgraduate students .
- Bridges the gap between theoretical probability and practical networking challenges .
- Published by Wiley, a leading academic publisher, ensuring high editorial quality .
- Covers recent research and asymptotic results in the many-sources and large-buffer regimes .
- Designed for use in applied probability, operations research, and electrical engineering curricula .
About Author
Michel Mandjes is a distinguished professor specializing in applied probability and stochastic processes, with a particular focus on communication networks. He holds academic positions at the University of Amsterdam and the Centrum Wiskunde & Informatica (CWI) in the Netherlands . His research interests encompass a wide range of areas, including queuing theory, performance analysis, and network modeling . Dr. Mandjes has made significant contributions to the understanding of large deviations in stochastic systems and their application to teletraffic engineering .
Throughout his career, Michel Mandjes has been a prolific researcher and author, publishing extensively in leading academic journals and conferences. His work is highly regarded in both the academic and industrial communities for its rigorous mathematical foundations and practical relevance . He has also played a key role in mentoring the next generation of researchers in applied probability. His book, "Large Deviations for Gaussian Queues," stands as a testament to his expertise and his ability to present complex material in a clear and structured manner .
Related Books
- Large Deviations Techniques and Applications — Amir Dembo and Ofer Zeitouni
- Queueing Networks and Markov Chains — Gunter Bolch et al.
- Performance Modeling of Communication Networks and Computer Architecture — Peter G. Harrison and Naresh M. Patel
- Stochastic Processes for Engineers and Scientists — Sheldon M. Ross
- Introduction to Probability Models — Sheldon M. Ross
- Fundamentals of Stochastic Networks — Oliver C. Ibe
- The Theory of Stochastic Processes — D.R. Cox and H.D. Miller
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FAQ
Q : Who is the author of this book and what is his background?
R : The author is Michel Mandjes, a professor of applied probability at the University of Amsterdam and a researcher at CWI . His expertise lies in stochastic processes and their applications to communication networks.
Q : What is the main focus of the book?
R : The book focuses on using large deviations theory and Gaussian traffic models to analyze queuing systems in communication networks, covering both single-node systems and more complex networks .
Q : Who is the target audience for this book?
R : It is ideally suited for postgraduate students in applied probability, operations research, computer science, and electrical engineering. It is also a valuable resource for practitioners in the communications networking industry .
Q : What makes the Gaussian traffic model useful for network analysis?
R : The Gaussian model is flexible enough to capture both long-range and short-range dependence in traffic streams, providing a unified framework for analyzing a wide range of network scenarios .
Q : Does the book include practical examples or exercises?
R : Yes, the book includes a collection of illustrative examples relevant to practical networking issues and a substantial set of instructive exercises with detailed solutions .
Q : What is the ISBN of the book?
R : The ISBN is 9780470017236.
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