Performance Modeling Stochastic Networks And Statistical Multiplexing

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Performance Modeling, Stochastic Networks, and Statistical Multiplexing, Second Edition

Ravi Mazumdar
Performance Modeling Stochastic Networks and Statistical Multiplexing Second Edition Book PDF

Author : Ravi Mazumdar
Publisher : Springer Nature
Page : 197 pages
File Size : 53,8 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031792601

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Performance Modeling, Stochastic Networks, and Statistical Multiplexing, Second Edition by Ravi Mazumdar Pdf

This monograph presents a concise mathematical approach for modeling and analyzing the performance of communication networks with the aim of introducing an appropriate mathematical framework for modeling and analysis as well as understanding the phenomenon of statistical multiplexing. The models, techniques, and results presented form the core of traffic engineering methods used to design, control and allocate resources in communication networks.The novelty of the monograph is the fresh approach and insights provided by a sample-path methodology for queueing models that highlights the important ideas of Palm distributions associated with traffic models and their role in computing performance measures. The monograph also covers stochastic network theory including Markovian networks. Recent results on network utility optimization and connections to stochastic insensitivity are discussed. Also presented are ideas of large buffer, and many sources asymptotics that play an important role in understanding statistical multiplexing. In particular, the important concept of effective bandwidths as mappings from queueing level phenomena to loss network models is clearly presented along with a detailed discussion of accurate approximations for large networks.

Performance Modeling, Stochastic Networks, and Statistical Multiplexing

Ravi R. Mazumdar
Performance Modeling Stochastic Networks and Statistical Multiplexing Book PDF

Author : Ravi R. Mazumdar
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2013
Category : Communication
ISBN : 1627051724

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Performance Modeling, Stochastic Networks, and Statistical Multiplexing by Ravi R. Mazumdar Pdf

Annotation This monograph presents a concise mathematical approach for modeling and analyzing the performance of communication networks with the aim of understanding the phenomenon of statistical multiplexing. The novelty of the monograph is the fresh approach and insights provided by a sample-path methodology for queueing models that highlights the important ideas of Palm distributions associated with traffic models and their role in performance measures. Also presented are recent ideas of large buffer, and many sources asymptotics that play an important role in understanding statistical multiplexing. In particular, the important concept of effective bandwidths as mappings from queueing level phenomena to loss network models is clearly presented along with a detailed presentation of loss network models and accurate approximations for large networks.

Performance Modeling, Loss Networks, and Statistical Multiplexing

Ravi Mazumdar
Performance Modeling Loss Networks and Statistical Multiplexing Book PDF

Author : Ravi Mazumdar
Publisher : Springer Nature
Page : 147 pages
File Size : 40,9 Mb
Release : 2009-12-10
Category : Computers
ISBN : 9783031799808

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Performance Modeling, Loss Networks, and Statistical Multiplexing by Ravi Mazumdar Pdf

This monograph presents a concise mathematical approach for modeling and analyzing the performance of communication networks with the aim of understanding the phenomenon of statistical multiplexing. The novelty of the monograph is the fresh approach and insights provided by a sample-path methodology for queueing models that highlights the important ideas of Palm distributions associated with traffic models and their role in performance measures. Also presented are recent ideas of large buffer, and many sources asymptotics that play an important role in understanding statistical multiplexing. In particular, the important concept of effective bandwidths as mappings from queueing level phenomena to loss network models is clearly presented along with a detailed presentation of loss network models and accurate approximations for large networks. Table of Contents: Introduction to Traffic Models and Analysis / Queues and Performance Analysis / Loss Models for Networks / Statistical Multiplexing

Network Performance Modeling and Simulation

Jean Walrand,Kallol Bagchi,George Zobrist
Network Performance Modeling and Simulation Book PDF

Author : Jean Walrand,Kallol Bagchi,George Zobrist
Publisher : CRC Press
Page : 332 pages
File Size : 47,8 Mb
Release : 2019-08-16
Category : Computers
ISBN : 9781000717501

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Network Performance Modeling and Simulation by Jean Walrand,Kallol Bagchi,George Zobrist Pdf

This book makes the argument that performance modeling and simulation have become central issues in computer science and engineering, in part due to applications to the structures comprising the Internet. Dealing primarily with theory, tools and techniques as related to communications systems, the volume provides tutorials and surveys and relates new important research results. Each chapter presents background information, describes and analyzes important work done in the field and provides direction to the reader on future work and further readings. The topics covered include traffic models for A TM networks, simulation environments, analytical methods, interprocessor communications, and an evaluation of process architectures.

Performance Modeling and Engineering

Zhen Liu,Cathy H. Xia
Performance Modeling and Engineering Book PDF

Author : Zhen Liu,Cathy H. Xia
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 52,8 Mb
Release : 2008-04-12
Category : Computers
ISBN : 9780387793610

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Performance Modeling and Engineering by Zhen Liu,Cathy H. Xia Pdf

With the fast development of networking and software technologies, information processing infrastructure and applications have been growing at an impressive rate in both size and complexity, to such a degree that the design and development of high performance and scalable data processing systems and networks have become an ever-challenging issue. As a result, the use of performance modeling and m- surementtechniquesas a critical step in designand developmenthas becomea c- mon practice. Research and developmenton methodologyand tools of performance modeling and performance engineering have gained further importance in order to improve the performance and scalability of these systems. Since the seminal work of A. K. Erlang almost a century ago on the mod- ing of telephone traf c, performance modeling and measurement have grown into a discipline and have been evolving both in their methodologies and in the areas in which they are applied. It is noteworthy that various mathematical techniques were brought into this eld, including in particular probability theory, stochastic processes, statistics, complex analysis, stochastic calculus, stochastic comparison, optimization, control theory, machine learning and information theory. The app- cation areas extended from telephone networks to Internet and Web applications, from computer systems to computer software, from manufacturing systems to s- ply chain, from call centers to workforce management.

Network Connectivity

Chen Chen,Hanghang Tong
Network Connectivity Book PDF

Author : Chen Chen,Hanghang Tong
Publisher : Morgan & Claypool Publishers
Page : 165 pages
File Size : 42,8 Mb
Release : 2022-01-26
Category : Computers
ISBN : 9781636392967

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Network Connectivity by Chen Chen,Hanghang Tong Pdf

Networks naturally appear in many high-impact domains, ranging from social network analysis to disease dissemination studies to infrastructure system design. Within network studies, network connectivity plays an important role in a myriad of applications. The diversity of application areas has spurred numerous connectivity measures, each designed for some specific tasks. Depending on the complexity of connectivity measures, the computational cost of calculating the connectivity score can vary significantly. Moreover, the complexity of the connectivity would predominantly affect the hardness of connectivity optimization, which is a fundamental problem for network connectivity studies. This book presents a thorough study in network connectivity, including its concepts, computation, and optimization. Specifically, a unified connectivity measure model will be introduced to unveil the commonality among existing connectivity measures. For the connectivity computation aspect, the authors introduce the connectivity tracking problems and present several effective connectivity inference frameworks under different network settings. Taking the connectivity optimization perspective, the book analyzes the problem theoretically and introduces an approximation framework to effectively optimize the network connectivity.Lastly, the book discusses the new research frontiers and directions to explore for network connectivity studies. This book is an accessible introduction to the study of connectivity in complex networks. It is essential reading for advanced undergraduates, Ph.D. students, as well as researchers and practitioners who are interested in graph mining, data mining, and machine learning.

Advances in Multi-Channel Resource Allocation

Bo Ji,Xiaojun Lin,Ness Shroff
Advances in Multi Channel Resource Allocation Book PDF

Author : Bo Ji,Xiaojun Lin,Ness Shroff
Publisher : Springer Nature
Page : 116 pages
File Size : 47,9 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031792724

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Advances in Multi-Channel Resource Allocation by Bo Ji,Xiaojun Lin,Ness Shroff Pdf

The last decade has seen an unprecedented growth in the demand for wireless services. These services are fueled by applications that often require not only high data rates, but also very low latency to function as desired. However, as wireless networks grow and support increasingly large numbers of users, these control algorithms must also incur only low complexity in order to be implemented in practice. Therefore, there is a pressing need to develop wireless control algorithms that can achieve both high throughput and low delay, but with low-complexity operations. While these three performance metrics, i.e., throughput, delay, and complexity, are widely acknowledged as being among the most important for modern wireless networks, existing approaches often have had to sacrifice a subset of them in order to optimize the others, leading to wireless resource allocation algorithms that either suffer poor performance or are difficult to implement. In contrast, the recent results presented in this book demonstrate that, by cleverly taking advantage of multiple physical or virtual channels, one can develop new low-complexity algorithms that attain both provably high throughput and provably low delay. The book covers both the intra-cell and network-wide settings. In each case, after the pitfalls of existing approaches are examined, new systematic methodologies are provided to develop algorithms that perform provably well in all three dimensions.

Stochastic Networks

Frank Kelly,Elena Yudovina
Stochastic Networks Book PDF

Author : Frank Kelly,Elena Yudovina
Publisher : Cambridge University Press
Page : 233 pages
File Size : 53,6 Mb
Release : 2014-02-27
Category : Computers
ISBN : 9781107035775

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Stochastic Networks by Frank Kelly,Elena Yudovina Pdf

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

Communication Networks

Jean Walrand,Shyam Parekh
Communication Networks Book PDF

Author : Jean Walrand,Shyam Parekh
Publisher : Springer Nature
Page : 220 pages
File Size : 45,8 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031792816

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Communication Networks by Jean Walrand,Shyam Parekh Pdf

This book results from many years of teaching an upper division course on communication networks in the EECS department at the University of California, Berkeley. It is motivated by the perceived need for an easily accessible textbook that puts emphasis on the core concepts behind current and next generation networks. After an overview of how today's Internet works and a discussion of the main principles behind its architecture, we discuss the key ideas behind Ethernet, WiFi networks, routing, internetworking, and TCP. To make the book as self-contained as possible, brief discussions of probability and Markov chain concepts are included in the appendices. This is followed by a brief discussion of mathematical models that provide insight into the operations of network protocols. Next, the main ideas behind the new generation of wireless networks based on LTE, and the notion of QoS are presented. A concise discussion of the physical layer technologies underlying various networks is also included. Finally, a sampling of topics is presented that may have significant influence on the future evolution of networks, including overlay networks like content delivery and peer-to-peer networks, sensor networks, distributed algorithms, Byzantine agreement, source compression, SDN and NFV, and Internet of Things.

Analytical Methods for Network Congestion Control

Steven Low
Analytical Methods for Network Congestion Control Book PDF

Author : Steven Low
Publisher : Springer Nature
Page : 193 pages
File Size : 54,6 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031792755

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Analytical Methods for Network Congestion Control by Steven Low Pdf

The congestion control mechanism has been responsible for maintaining stability as the Internet scaled up by many orders of magnitude in size, speed, traffic volume, coverage, and complexity over the last three decades. In this book, we develop a coherent theory of congestion control from the ground up to help understand and design these algorithms. We model network traffic as fluids that flow from sources to destinations and model congestion control algorithms as feedback dynamical systems. We show that the model is well defined. We characterize its equilibrium points and prove their stability. We will use several real protocols for illustration but the emphasis will be on various mathematical techniques for algorithm analysis. Specifically we are interested in four questions: 1. How are congestion control algorithms modelled? 2. Are the models well defined? 3. How are the equilibrium points of a congestion control model characterized? 4. How are the stability of these equilibrium points analyzed? For each topic, we first present analytical tools, from convex optimization, to control and dynamical systems, Lyapunov and Nyquist stability theorems, and to projection and contraction theorems. We then apply these basic tools to congestion control algorithms and rigorously prove their equilibrium and stability properties. A notable feature of this book is the careful treatment of projected dynamics that introduces discontinuity in our differential equations. Even though our development is carried out in the context of congestion control, the set of system theoretic tools employed and the process of understanding a physical system, building mathematical models, and analyzing these models for insights have a much wider applicability than to congestion control.

BATS Codes

Shenghao Yang,Raymond Yeung
BATS Codes Book PDF

Author : Shenghao Yang,Raymond Yeung
Publisher : Springer Nature
Page : 208 pages
File Size : 53,5 Mb
Release : 2022-06-01
Category : Computers
ISBN : 9783031792786

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BATS Codes by Shenghao Yang,Raymond Yeung Pdf

This book discusses an efficient random linear network coding scheme, called BATched Sparse code, or BATS code, which is proposed for communication through multi-hop networks with packet loss. Multi-hop wireless networks have applications in the Internet of Things (IoT), space, and under-water network communications, where the packet loss rate per network link is high, and feedbacks have long delays and are unreliable. Traditional schemes like retransmission and fountain codes are not sufficient to resolve the packet loss so that the existing communication solutions for multi-hop wireless networks have either long delay or low throughput when the network length is longer than a few hops. These issues can be resolved by employing network coding in the network, but the high computational and storage costs of such schemes prohibit their implementation in many devices, in particular, IoT devices that typically have low computational power and very limited storage. A BATS code consists of an outer code and an inner code. As a matrix generalization of a fountain code, the outer code generates a potentially unlimited number of batches, each of which consists of a certain number (called the batch size) of coded packets. The inner code comprises (random) linear network coding at the intermediate network nodes, which is applied on packets belonging to the same batch. When the batch size is 1, the outer code reduces to an LT code (or Raptor code if precode is applied), and network coding of the batches reduces to packet forwarding. BATS codes preserve the salient features of fountain codes, in particular, their rateless property and low encoding/decoding complexity. BATS codes also achieve the throughput gain of random linear network coding. This book focuses on the fundamental features and performance analysis of BATS codes, and includes some guidelines and examples on how to design a network protocol using BATS codes.

Probability Theory and Stochastic Processes

Pierre Brémaud
Probability Theory and Stochastic Processes Book PDF

Author : Pierre Brémaud
Publisher : Springer Nature
Page : 713 pages
File Size : 51,6 Mb
Release : 2020-04-07
Category : Mathematics
ISBN : 9783030401832

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Probability Theory and Stochastic Processes by Pierre Brémaud Pdf

The ultimate objective of this book is to present a panoramic view of the main stochastic processes which have an impact on applications, with complete proofs and exercises. Random processes play a central role in the applied sciences, including operations research, insurance, finance, biology, physics, computer and communications networks, and signal processing. In order to help the reader to reach a level of technical autonomy sufficient to understand the presented models, this book includes a reasonable dose of probability theory. On the other hand, the study of stochastic processes gives an opportunity to apply the main theoretical results of probability theory beyond classroom examples and in a non-trivial manner that makes this discipline look more attractive to the applications-oriented student. One can distinguish three parts of this book. The first four chapters are about probability theory, Chapters 5 to 8 concern random sequences, or discrete-time stochastic processes, and the rest of the book focuses on stochastic processes and point processes. There is sufficient modularity for the instructor or the self-teaching reader to design a course or a study program adapted to her/his specific needs. This book is in a large measure self-contained.

Modeling and Optimization in Software-Defined Networks

Konstantinos Poularakis,Leandros Tassiulas,T.V. Lakshman
Modeling and Optimization in Software Defined Networks Book PDF

Author : Konstantinos Poularakis,Leandros Tassiulas,T.V. Lakshman
Publisher : Springer Nature
Page : 160 pages
File Size : 48,5 Mb
Release : 2022-06-01
Category : Computers
ISBN : 9783031023828

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Modeling and Optimization in Software-Defined Networks by Konstantinos Poularakis,Leandros Tassiulas,T.V. Lakshman Pdf

This book provides a quick reference and insights into modeling and optimization of software-defined networks (SDNs). It covers various algorithms and approaches that have been developed for optimizations related to the control plane, the considerable research related to data plane optimization, and topics that have significant potential for research and advances to the state-of-the-art in SDN. Over the past ten years, network programmability has transitioned from research concepts to more mainstream technology through the advent of technologies amenable to programmability such as service chaining, virtual network functions, and programmability of the data plane. However, the rapid development in SDN technologies has been the key driver behind its evolution. The logically centralized abstraction of network states enabled by SDN facilitates programmability and use of sophisticated optimization and control algorithms for enhancing network performance, policy management, and security.Furthermore, the centralized aggregation of network telemetry facilitates use of data-driven machine learning-based methods. To fully unleash the power of this new SDN paradigm, though, various architectural design, deployment, and operations questions need to be addressed. Associated with these are various modeling, resource allocation, and optimization opportunities.The book covers these opportunities and associated challenges, which represent a ``call to arms'' for the SDN community to develop new modeling and optimization methods that will complement or improve on the current norms.

Performance Modelling and Evaluation of ATM Networks

Demetres D. Kouvatsos
Performance Modelling and Evaluation of ATM Networks Book PDF

Author : Demetres D. Kouvatsos
Publisher : Springer
Page : 624 pages
File Size : 53,6 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9780387348810

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Performance Modelling and Evaluation of ATM Networks by Demetres D. Kouvatsos Pdf

Asynchronous Transfer Mode (ATM) networks are widely considered to be the new generation of high speed communication systems both for broadband public information highways and for local and wide area private networks. ATM is designed to integrate existing and future voice, audio, image and data services. Moreover, ATM aims to simplify the complexity of switching and buffer management, to optimise intermediate node processing and buffering and to limit transmission delays. However, to support such diverse services on one integrated communication network, it is most essential, through careful engineering, to achieve a fruitful balance amongst the conflicting requirements of different quality of service constraints ensuring that one service does not have adverse implications on another. Over recent years there has been a great deal of progress in research and development of ATM technology, but there are still many interesting and important problems to be resolved such as traffic characterisation and control, routing and optimisation, ATM switching techniques and the provision of quality of service. This book presents thirty-two research papers, both from industry and academia, reflecting latest original achievements in the theory and practice of performance modelling of ATM networks worldwide. These papers were selected, subject to peer review, from those submitted as extended and revised versions out of fifty-nine shorter papers presented at the Second IFIP Workshop on "Performance Modelling and Evaluation of ATM Networks" July 4-7, 1994, Bradford University. At least three referees from the scientific committee and externally were involved in the selection of each paper.

Diffusion Source Localization in Large Networks

Lei Ying,Kai Zhu
Diffusion Source Localization in Large Networks Book PDF

Author : Lei Ying,Kai Zhu
Publisher : Springer Nature
Page : 79 pages
File Size : 46,9 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031792854

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Diffusion Source Localization in Large Networks by Lei Ying,Kai Zhu Pdf

Diffusion processes in large networks have been used to model many real-world phenomena, including how rumors spread on the Internet, epidemics among human beings, emotional contagion through social networks, and even gene regulatory processes. Fundamental estimation principles and efficient algorithms for locating diffusion sources can answer a wide range of important questions, such as identifying the source of a widely spread rumor on online social networks. This book provides an overview of recent progress on source localization in large networks, focusing on theoretical principles and fundamental limits. The book covers both discrete-time diffusion models and continuous-time diffusion models. For discrete-time diffusion models, the book focuses on the Jordan infection center; for continuous-time diffusion models, it focuses on the rumor center. Most theoretical results on source localization are based on these two types of estimators or their variants. This book also includes algorithms that leverage partial-time information for source localization and a brief discussion of interesting unresolved problems in this area.