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Asymptotic Methods In Queuing Theory


Asymptotic Methods In Queuing Theory
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Asymptotic Methods In Queuing Theory


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.




Queueing Systems Networks And Telecommunication Systems


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.



Queueing Theory 1


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.



Advances In Queueing Theory Methods And Open Problems


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.



Asymptotic Methods For Queueing Systems And Networks With Application To Telecommunications


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.




Introduction To Asymptotic Methods


Introduction To Asymptotic Methods
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Author : David Y. Gao
language : en
Publisher: CRC Press
Release Date : 2006-05-03

Introduction To Asymptotic Methods written by David Y. Gao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-03 with Mathematics categories.


Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m



Mathematical Methods In Queuing Theory


Mathematical Methods In Queuing Theory
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Author : Vladimir V. Kalashnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Mathematical Methods In Queuing Theory written by Vladimir V. Kalashnikov 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 2013-04-18 with Mathematics categories.


The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.



Frontiers In Queueing


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.



Analysis Of Queues


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.



Queueing Theory And Its Applications


Queueing Theory And Its Applications
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Author : Jacob Willem Cohen
language : en
Publisher: North Holland
Release Date : 1988

Queueing Theory And Its Applications written by Jacob Willem Cohen and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.


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.