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Asymptotic Methods For Queueing Systems And Networks With Application To Telecommunications
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Book Synopsis Queueing Systems, Networks and Telecommunication Systems by : Vyacheslav M. Abramov
Download or read book Queueing Systems, Networks and Telecommunication Systems written by Vyacheslav M. Abramov and published by . This book was released on 2009 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is concerned with the study of non-Markovian queueing systems and networks, with applications to telecommuncation systems. Its main contribution consists in deriving results for non-Markovian systems. We study large closed client/server communication networks and losses in single-server queueing systems, with an application to communication networks of loss queues. The main result of this study are (i) an explicit expression for the interrelation between the limiting non-stationary distributions in non-bottleneck client stations; (ii) derivation of diffusion and fluid approximations for the non-Markovian queue length in the bottleneck client station. For the loss networks considered, we find an asymptotic expression for the loss probability and other performance measures, as buffer capacity increases to infinity. We also find the changes in the loss probability when redundant packets are added to the messages."--Back cover.
Book Synopsis Asymptotic Methods for Queueing Systems and Networks with Application to Telecommunications by : Vyacheslav M. Abramov
Download or read book Asymptotic Methods for Queueing Systems and Networks with Application to Telecommunications written by Vyacheslav M. Abramov and published by . This book was released on 2004 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frontiers in Queueing by : Jewgeni H. Dshalalow
Download or read book Frontiers in Queueing written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 1997-01-21 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing systems and networks are being applied to many areas of technology today, including telecommunications, computers, satellite systems, and traffic processes. This timely book, written by 26 of the most respected and influential researchers in the field, provides an overview of fundamental queueing systems and networks as applied to these technologies. Frontiers in Queueing: Models and Applications in Science and Engineering was written with more of an engineering slant than its predecessor, Advances in Queueing: Theory, Methods, and Open Problems. The earlier book was primarily concerned with methods, and was more theoretically oriented. This new volume, meant to be a sequel to the first book, was written by scientists and queueing theorists whose expertise is in technology and engineering, allowing readers to answer questions regarding the technicalities of related methods from the earlier book. Each chapter in the book surveys the classes of queueing models and networks, or the applied methods in queueing, and is followed by a discussion of open problems and future research directions. The discussion of these future trends is especially important to novice researchers, students, and even their advisors, as it provides the perspectives of eminent scientists in each area, thus showing where research efforts should be focused. Frontiers in Queueing: Models and Applications in Science and Engineering also includes applications to vital areas of engineering and technology, specifically, telecommunications, computers and computer networks, satellite systems, traffic processes, and more applied methods such as simulation, statistics, and numerical methods. All researchers, from students to advanced professionals, can benefit from the sound advice and perspective of the contributors represented in this book.
Download or read book Queueing Theory 1 written by and published by John Wiley & Sons. This book was released on 2021-04-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers’ collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.
Book Synopsis Introduction to Queueing Systems with Telecommunication Applications by : László Lakatos
Download or read book Introduction to Queueing Systems with Telecommunication Applications written by László Lakatos and published by Springer. This book was released on 2019-05-16 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the extended and revised version of the 1st edition and is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self-containing introduction to the stochastic processes of the later studied queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences. Reviews of first edition: "The organization of the book is such that queueing models are viewed as special cases of more general stochastic processes, such as birth-death or semi-Markov processes. ... this book is a valuable addition to the queuing literature and provides instructors with a viable alternative for a textbook to be used in a one- or two-semester course on queueing models, at the upper undergraduate or beginning graduate levels." Charles Knessl, SIAM Review, Vol. 56 (1), March, 2014
Book Synopsis Advances in Queueing Theory, Methods, and Open Problems by : Jewgeni H. Dshalalow
Download or read book Advances in Queueing Theory, Methods, and Open Problems written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 2023-07-21 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The progress of science and technology has placed Queueing Theory among the most popular disciplines in applied mathematics, operations research, and engineering. Although queueing has been on the scientific market since the beginning of this century, it is still rapidly expanding by capturing new areas in technology. Advances in Queueing provides a comprehensive overview of problems in this enormous area of science and focuses on the most significant methods recently developed. Written by a team of 24 eminent scientists, the book examines stochastic, analytic, and generic methods such as approximations, estimates and bounds, and simulation. The first chapter presents an overview of classical queueing methods from the birth of queues to the seventies. It also contains the most comprehensive bibliography of books on queueing and telecommunications to date. Each of the following chapters surveys recent methods applied to classes of queueing systems and networks followed by a discussion of open problems and future research directions. Advances in Queueing is a practical reference that allows the reader quick access to the latest methods.
Book Synopsis Asymptotic Methods in Queuing Theory by : Aleksandr Alekseevich Borovkov
Download or read book Asymptotic Methods in Queuing Theory written by Aleksandr Alekseevich Borovkov and published by John Wiley & Sons. This book was released on 1984 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Queueing Systems with Telecommunication Applications by : Laszlo Lakatos
Download or read book Introduction to Queueing Systems with Telecommunication Applications written by Laszlo Lakatos and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, ATM switches, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.
Book Synopsis Information Technologies and Mathematical Modelling. Queueing Theory and Applications by : Alexander Dudin
Download or read book Information Technologies and Mathematical Modelling. Queueing Theory and Applications written by Alexander Dudin and published by Springer. This book was released on 2017-09-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Conference on Information Technologies and Mathematical Modelling, ITMM 2017, held in Kazan, Russia, in September/October 2017. The 31 papers presented in this volume were carefully reviewed and selected from 85 submissions. The conference covers various aspects of mathematical modeling and information technologies, focusing on probabilistic methods and models, queueing theory and communication networks.
Book Synopsis Stability Analysis of Regenerative Queueing Models by : Evsey Morozov
Download or read book Stability Analysis of Regenerative Queueing Models written by Evsey Morozov and published by Springer Nature. This book was released on 2021-09-20 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method. The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stability of queueing systems.
Book Synopsis Heavy Traffic Analysis of Controlled Queueing and Communication Networks by : Harold Kushner
Download or read book Heavy Traffic Analysis of Controlled Queueing and Communication Networks written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2001-06-08 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
Book Synopsis Analysis of Queues by : Natarajan Gautam
Download or read book Analysis of Queues written by Natarajan Gautam and published by CRC Press. This book was released on 2012-04-26 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples. In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.
Book Synopsis Delayed and Network Queues by : Aliakbar Montazer Haghighi
Download or read book Delayed and Network Queues written by Aliakbar Montazer Haghighi and published by John Wiley & Sons. This book was released on 2016-09-08 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to differential equations, probability, and stochastic processes with real-world applications of queues with delay and delayed network queues Featuring recent advances in queueing theory and modeling, Delayed and Network Queues provides the most up-to-date theories in queueing model applications. Balancing both theoretical and practical applications of queueing theory, the book introduces queueing network models as tools to assist in the answering of questions on cost and performance that arise throughout the life of a computer system and signal processing. Written by well-known researchers in the field, the book presents key information for understanding the essential aspects of queues with delay and networks of queues with unreliable nodes and vacationing servers. Beginning with simple analytical fundamentals, the book contains a selection of realistic and advanced queueing models that address current deficiencies. In addition, the book presents the treatment of queues with delay and networks of queues, including possible breakdowns and disruptions that may cause delay. Delayed and Network Queues also features: Numerous examples and exercises with applications in various fields of study such as mathematical sciences, biomathematics, engineering, physics, business, health industry, and economics A wide array of practical applications of network queues and queueing systems, all of which are related to the appropriate stochastic processes Up-to-date topical coverage such as single- and multiserver queues with and without delays, along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multiserver Markovian queues with balking, reneging, delay, feedback, splitting, and blocking, as well as their role in the treatment of networks of queues with and without delay and network reliability Delayed and Network Queues is an excellent textbook for upper-undergraduate and graduate-level courses in applied mathematics, queueing theory, queueing systems, probability, and stochastic processes. The book is also an ideal reference for academics and practitioners in mathematical sciences, biomathematics, operations research, management, engineering, physics, business, economics, health industry, and industrial engineering. Aliakbar Montazer Haghighi, PhD, is Professor and Head of the Department of Mathematics at Prairie View A&M University, USA, as well as founding Editor-in-Chief of Applications and Applied Mathematics: An International Journal (AAM). His research interests include probability, statistics, stochastic processes, and queueing theory. Among his research publications and books, Dr. Haghighi is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013). Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University, USA. His research interests include differential and difference equations and queueing theory. The author of numerous research papers and three books, Dr. Mishev is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013).
Book Synopsis Queueing Theory for Telecommunications by : Attahiru Sule Alfa
Download or read book Queueing Theory for Telecommunications written by Attahiru Sule Alfa and published by Springer Science & Business Media. This book was released on 2010-07-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing theory applications can be discovered in many walks of life including; transportation, manufacturing, telecommunications, computer systems and more. However, the most prevalent applications of queueing theory are in the telecommunications field. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System focuses on discrete time modeling and illustrates that most queueing systems encountered in real life can be set up as a Markov chain. This feature is very unique because the models are set in such a way that matrix-analytic methods are used to analyze them. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System is the most relevant book available on queueing models designed for applications to telecommunications. This book presents clear concise theories behind how to model and analyze key single node queues in discrete time using special tools that were presented in the second chapter. The text also delves into the types of single node queues that are very frequently encountered in telecommunication systems modeling, and provides simple methods for analyzing them. Where appropriate, alternative analysis methods are also presented. This book is for advanced-level students and researchers concentrating on engineering, computer science and mathematics as a secondary text or reference book. Professionals who work in the related industries of telecommunications, industrial engineering and communications engineering will find this book useful as well.
Book Synopsis Retrial Queueing Systems by : J. R. Artalejo
Download or read book Retrial Queueing Systems written by J. R. Artalejo and published by Springer Science & Business Media. This book was released on 2008-05-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of auto-repeat facilities in telephone systems, as well as the use of random access protocols in computer networks, have led to growing interest in retrial queueing models. Since much of the theory of retrial queues is complex from an analytical viewpoint, with this book the authors give a comprehensive and updated text focusing on approximate techniques and algorithmic methods for solving the analytically intractable models. Retrial Queueing Systems: A Computational Approach also Presents motivating examples in telephone and computer networks. Establishes a comparative analysis of the retrial queues versus standard queues with waiting lines and queues with losses. Integrates a wide range of techniques applied to the main M/G/1 and M/M/c retrial queues, and variants with general retrial times, finite population and the discrete-time case. Surveys basic results of the matrix-analytic formalism and emphasizes the related tools employed in retrial queues. Discusses a few selected retrial queues with QBD, GI/M/1 and M/G/1 structures. Features an abundance of numerical examples, and updates the existing literature. The book is intended for an audience ranging from advanced undergraduates to researchers interested not only in queueing theory, but also in applied probability, stochastic models of the operations research, and engineering. The prerequisite is a graduate course in stochastic processes, and a positive attitude to the algorithmic probability.
Book Synopsis Queueing Theory and Its Applications by : Jacob Willem Cohen
Download or read book Queueing Theory and Its Applications written by Jacob Willem Cohen and published by North Holland. This book was released on 1988 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Liber Amicorum honors a man whose ideas and results have to a large extent shaped queueing theory in its present form. Wim Cohen has made important contributions to the theory of stochastic processes, queueing theory, teletraffic and performance evaluation. The twenty invited papers, from his friends and colleagues, are grouped into five parts. Part I consists of survey papers which present a broad picture of the developments in several areas of queueing theory and performance evaluation. Parts II-V contain research papers dealing with problems of current interest - the Single Server Queue, analytic methods, queueing networks and their applications to communication and computer systems, and various topics in probability and statistics with implications for queueing theory.
Book Synopsis Stochastic Network Optimization with Application to Communication and Queueing Systems by : Michael J. Neely
Download or read book Stochastic Network Optimization with Application to Communication and Queueing Systems written by Michael J. Neely and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a modern theory of analysis, control, and optimization for dynamic networks. Mathematical techniques of Lyapunov drift and Lyapunov optimization are developed and shown to enable constrained optimization of time averages in general stochastic systems. The focus is on communication and queueing systems, including wireless networks with time-varying channels, mobility, and randomly arriving traffic. A simple drift-plus-penalty framework is used to optimize time averages such as throughput, throughput-utility, power, and distortion. Explicit performance-delay tradeoffs are provided to illustrate the cost of approaching optimality. This theory is also applicable to problems in operations research and economics, where energy-efficient and profit-maximizing decisions must be made without knowing the future. Topics in the text include the following: - Queue stability theory - Backpressure, max-weight, and virtual queue methods - Primal-dual methods for non-convex stochastic utility maximization - Universal scheduling theory for arbitrary sample paths - Approximate and randomized scheduling theory - Optimization of renewal systems and Markov decision systems Detailed examples and numerous problem set questions are provided to reinforce the main concepts. Table of Contents: Introduction / Introduction to Queues / Dynamic Scheduling Example / Optimizing Time Averages / Optimizing Functions of Time Averages / Approximate Scheduling / Optimization of Renewal Systems / Conclusions
