Asymptotic Methods For Queueing Systems And Networks With Application To Telecommunications
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Queueing Systems Networks And Telecommunication Systems
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Author : Vyacheslav M. Abramov
language : en
Publisher:
Release Date : 2009
Queueing Systems Networks And Telecommunication Systems written by Vyacheslav M. Abramov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Queuing theory categories.
"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.
Asymptotic Methods For Queueing Systems And Networks With Application To Telecommunications
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Author : Vyacheslav M. Abramov
language : en
Publisher:
Release Date : 2004
Asymptotic Methods For Queueing Systems And Networks With Application To Telecommunications written by Vyacheslav M. Abramov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Frontiers In Queueing
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Author : Jewgeni H. Dshalalow
language : en
Publisher: CRC Press
Release Date : 1997-01-21
Frontiers In Queueing written by Jewgeni H. Dshalalow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-21 with Business & Economics categories.
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.
Advances In Queueing Theory Methods And Open Problems
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Author : Jewgeni H. Dshalalow
language : en
Publisher: CRC Press
Release Date : 2023-07-21
Advances In Queueing Theory Methods And Open Problems written by Jewgeni H. Dshalalow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Business & Economics categories.
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.
Queueing Theory 1
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Author :
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-27
Queueing Theory 1 written by and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-27 with Mathematics categories.
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.
Stability Analysis Of Regenerative Queueing Models
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Author : Evsey Morozov
language : en
Publisher: Springer Nature
Release Date : 2021-09-20
Stability Analysis Of Regenerative Queueing Models written by Evsey Morozov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Computers categories.
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.
Analysis Of Queues
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Author : Natarajan Gautam
language : en
Publisher: CRC Press
Release Date : 2012-04-26
Analysis Of Queues written by Natarajan Gautam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Business & Economics categories.
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.
Asymptotic Methods In Queuing Theory
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Author : Aleksandr Alekseevich Borovkov
language : en
Publisher: John Wiley & Sons
Release Date : 1984
Asymptotic Methods In Queuing Theory written by Aleksandr Alekseevich Borovkov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Introduction To Queueing Systems With Telecommunication Applications
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Author : László Lakatos
language : en
Publisher: Springer
Release Date : 2019-05-16
Introduction To Queueing Systems With Telecommunication Applications written by László Lakatos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-16 with Mathematics categories.
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
Introduction To Queueing Systems With Telecommunication Applications
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Author : Laszlo Lakatos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-15
Introduction To Queueing Systems With Telecommunication Applications written by Laszlo Lakatos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-15 with Mathematics categories.
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.