Network Calculus
Author: Jean-Yves Le Boudec
Publisher:
Published: 2014-01-15
Total Pages: 298
ISBN-13: 9783662175033
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Deterministic Network Calculus
Author: Anne Bouillard
Publisher: John Wiley & Sons
Published: 2018-12-18
Total Pages: 350
ISBN-13: 1848218524
DOWNLOAD EBOOKDeterministic network calculus is a theory based on the (min,plus) algebra. Its aim is to compute worst-case performance bounds in communication networks. Our goal is to provide a comprehensive view of this theory and its recent advances, from its theoretical foundations to its implementations. The book is divided into three parts. The first part focuses on the (min,plus) framework and its algorithmic aspects. The second part defines the network calculus model and analyzes one server in isolation. Different service and scheduling policies are discussed, particularly when data is packetized. The third part is about network analyses. Pay burst only once and pay multiplexing only once phenomena are exhibited, and different analyses are proposed and compared. This includes the linear programming approaches that compute tight performance bounds. Finally, some partial results on the stability are detailed.
Stochastic Network Calculus
Author: Yuming Jiang
Publisher: Springer Science & Business Media
Published: 2009-03-01
Total Pages: 240
ISBN-13: 1848001274
DOWNLOAD EBOOKNetwork 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.
Performance Guarantees in Communication Networks
Author: Cheng-Shang Chang
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 402
ISBN-13: 1447104595
DOWNLOAD EBOOKProviding performance guarantees is one of the most important issues for future telecommunication networks. This book describes theoretical developments in performance guarantees for telecommunication networks from the last decade. Written for the benefit of graduate students and scientists interested in telecommunications-network performance this book consists of two parts. The first introduces the recently-developed filtering theory for providing deterministic (hard) guarantees, such as bounded delay and queue length. The filtering theory is developed under the min-plus algebra, where one replaces the usual addition with the min operator and the usual multiplication with the addition operator. As in the classical linear system theory, the filtering theory treats an arrival process (or a departure process ) as a signal and a network element as a system. Network elements, including traffic regulators and servers, can be modelled as linear filters under the min-plus algebra, and they can be joined by concatenation, "filter bank summation", and feedback to form a composite network element. The problem of providing deterministic guarantees is equivalent to finding the impulse response of composite network elements. This section contains material on: - (s, r)-calculus - Filtering theory for deterministic traffic regulation, service guarantees and networks with variable-length packets - Traffic specification - Networks with multiple inputs and outputs - Constrained traffic regulation The second part of the book addresses stochastic (soft) guarantees, focusing mainly on tail distributions of queue lengths and packet loss probabilities and contains material on: - (s(q), r(q))-calculus and q-envelope rates - The large deviation principle - The theory of effective bandwidth The mathematical theory for stochastic guarantees is the theory of effective bandwidth. Based on the large deviation principle, the theory of effective bandwidth provides approximations for the bandwidths required to meet stochastic guarantees for both short-range dependent inputs and long-range dependent inputs.
Deterministic Artificial Intelligence
Author: Timothy Sands
Publisher: BoD – Books on Demand
Published: 2020-05-27
Total Pages: 180
ISBN-13: 1789841119
DOWNLOAD EBOOKKirchhoff’s laws give a mathematical description of electromechanics. Similarly, translational motion mechanics obey Newton’s laws, while rotational motion mechanics comply with Euler’s moment equations, a set of three nonlinear, coupled differential equations. Nonlinearities complicate the mathematical treatment of the seemingly simple action of rotating, and these complications lead to a robust lineage of research culminating here with a text on the ability to make rigid bodies in rotation become self-aware, and even learn. This book is meant for basic scientifically inclined readers commencing with a first chapter on the basics of stochastic artificial intelligence to bridge readers to very advanced topics of deterministic artificial intelligence, espoused in the book with applications to both electromechanics (e.g. the forced van der Pol equation) and also motion mechanics (i.e. Euler’s moment equations). The reader will learn how to bestow self-awareness and express optimal learning methods for the self-aware object (e.g. robot) that require no tuning and no interaction with humans for autonomous operation. The topics learned from reading this text will prepare students and faculty to investigate interesting problems of mechanics. It is the fondest hope of the editor and authors that readers enjoy the book.
Mathematical Foundations of Computer Networking
Author: Srinivasan Keshav
Publisher: Pearson Education
Published: 2012
Total Pages: 496
ISBN-13: 0321792106
DOWNLOAD EBOOKMathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory
Systems Modeling: Methodologies and Tools
Author: Antonio Puliafito
Publisher: Springer
Published: 2018-10-16
Total Pages: 315
ISBN-13: 3319923781
DOWNLOAD EBOOKThis book covers ideas, methods, algorithms, and tools for the in-depth study of the performance and reliability of dependable fault-tolerant systems. The chapters identify the current challenges that designers and practitioners must confront to ensure the reliability, availability, and performance of systems, with special focus on their dynamic behaviors and dependencies. Topics include network calculus, workload and scheduling; simulation, sensitivity analysis and applications; queuing networks analysis; clouds, federations and big data; and tools. This collection of recent research exposes system researchers, performance analysts, and practitioners to a spectrum of issues so that they can address these challenges in their work.
Communication Networking
Author: Anurag Kumar
Publisher: Elsevier
Published: 2004-06-02
Total Pages: 958
ISBN-13: 008048851X
DOWNLOAD EBOOKCommunication Networking is a comprehensive, effectively organized introduction to the realities of communication network engineering. Written for both the workplace and the classroom, this book lays the foundation and provides the answers required for building an efficient, state-of-the-art network—one that can expand to meet growing demand and evolve to capitalize on coming technological advances. It focuses on the three building blocks out of which a communication network is constructed: multiplexing, switching, and routing. The discussions are based on the viewpoint that communication networking is about efficient resource sharing. The progression is natural: the book begins with individual physical links and proceeds to their combination in a network. The approach is analytical: discussion is driven by mathematical analyses of and solutions to specific engineering problems. Fundamental concepts are explained in detail and design issues are placed in context through real world examples from current technologies. The text offers in-depth coverage of many current topics, including network calculus with deterministically-constrained traffic; congestion control for elastic traffic; packet switch queuing; switching architectures; virtual path routing; and routing for quality of service. It also includes more than 200 hands-on exercises and class-tested problems, dozens of schematic figures, a review of key mathematical concepts, and a glossary. This book will be of interest to networking professionals whose work is primarily architecture definition and implementation, i.e., network engineers and designers at telecom companies, industrial research labs, etc. It will also appeal to final year undergrad and first year graduate students in EE, CE, and CS programs. - Systematically uses mathematical models and analyses to drive the development of a practical understanding of core network engineering problems. - Provides in-depth coverage of many current topics, including network calculus with deterministically-constrained traffic, congestion control for elastic traffic, packet switch queuing, switching architectures, virtual path routing, and routing for quality of service. - Includes over 200 hands-on exercises and class-tested problems, dozens of schematic figures, a review of key mathematical concepts, and a glossary.
Discrete Calculus
Author: Leo J. Grady
Publisher: Springer Science & Business Media
Published: 2010-07-23
Total Pages: 371
ISBN-13: 1849962901
DOWNLOAD EBOOKThis unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.
Deterministic Network Calculus
Author: Anne Bouillard
Publisher: John Wiley & Sons
Published: 2018-10-22
Total Pages: 316
ISBN-13: 1119563410
DOWNLOAD EBOOKDeterministic network calculus is a theory based on the (min,plus) algebra. Its aim is to compute worst-case performance bounds in communication networks. Our goal is to provide a comprehensive view of this theory and its recent advances, from its theoretical foundations to its implementations. The book is divided into three parts. The first part focuses on the (min,plus) framework and its algorithmic aspects. The second part defines the network calculus model and analyzes one server in isolation. Different service and scheduling policies are discussed, particularly when data is packetized. The third part is about network analyses. Pay burst only once and pay multiplexing only once phenomena are exhibited, and different analyses are proposed and compared. This includes the linear programming approaches that compute tight performance bounds. Finally, some partial results on the stability are detailed.
