Analysis Of Queueing Systems
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Analysis Of Queueing Systems
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Author : J.A. White
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Analysis Of Queueing Systems written by J.A. White and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Analysis and Queueing Systems is a nine-chapter introductory text that considers the applied problem of analyzing queueing systems. This book outlines a sequence of steps, which if properly executed yield an improved design of the system. This book deals first with the development of the necessary background in probability theory and transforms methods. These topics are followed by a presentation of queueing models and how these simple models can be applied in more complex situations. The subsequent chapters survey the development of prescriptive models of queueing systems; the principles of transient analysis; and the modeling techniques for use in analyzing more complex queueing systems. The discussion then shifts to the design of data collection systems and the analysis of data. The last chapter focuses on the development of simulation models.
Sample Path Analysis Of Queueing Systems
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Author : Muhammad El-Taha
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Sample Path Analysis Of Queueing Systems written by Muhammad El-Taha 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 1999 with Business & Economics categories.
Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. These results are utilized to establish useful performance measures. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Recent topics such as pathwise stability are also covered in this context. The book consistently takes the point of view of focusing on one sample path of a stochastic process. Hence, it is devoted to providing pure sample-path arguments. With this approach it is possible to separate the issue of the validity of a relationship from issues of existence of limits and/or construction of stationary framework. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes. The authors feel that sample-path analysis can be best used to provide general results that are independent of stochastic assumptions, complemented by use of probabilistic arguments to carry out a more detailed analysis. This book focuses on the first part of the picture. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.
An Introduction To Queueing Systems
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Author : Sanjay K. Bose
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
An Introduction To Queueing Systems written by Sanjay K. Bose 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 2013-12-01 with Computers categories.
Queueing is an aspect of modern life that we encounter at every step in our daily activities. Whether it happens at the checkout counter in the supermarket or in accessing the Internet, the basic phenomenon of queueing arises whenever a shared facility needs to be accessed for service by a ]arge number of jobs or customers. The study of queueing is important as it gravides both a theoretical background to the kind of service that we may expect from such a facility and the way in which the facility itself may be designed to provide some specified grade of service to its customers. Our study of queueing was basically motivated by its use in the study of communication systems and computer networks. The various computers, routers and switches in such a network may be modelled as individual queues. The whole system may itself be modelled as a queueing network providing the required service to the messages, packets or cells that need to be carried. Application of queueing theory provides the theoretical framework for the design and study of such networks. The purpose of this book is to support a course on queueing systems at the senior undergraduate or graduate Ievels. Such a course would then provide the theoretical background on which a subsequent course on the performance modeHing and analysis of computer networks may be based.
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.
An Introduction To Queueing Theory
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Author : U. Narayan Bhat
language : en
Publisher: Birkhäuser
Release Date : 2015-07-09
An Introduction To Queueing Theory written by U. Narayan Bhat and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-09 with Mathematics categories.
This introductory textbook is designed for a one-semester course on queueing theory that does not require a course on stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations research, and engineering. This edition includes additional topics in methodology and applications. Key features: • An introductory chapter including a historical account of the growth of queueing theory in more than 100 years. • A modeling-based approach with emphasis on identification of models • Rigorous treatment of the foundations of basic models commonly used in applications with appropriate references for advanced topics. • A chapter on matrix-analytic method as an alternative to the traditional methods of analysis of queueing systems. • A comprehensive treatment of statistical inference for queueing systems. • Modeling exercises and review exercises when appropriate. The second edition of An Introduction of Queueing Theory may be used as a textbook by first-year graduate students in fields such as computer science, operations research, industrial and systems engineering, as well as related fields such as manufacturing and communications engineering. Upper-level undergraduate students in mathematics, statistics, and engineering may also use the book in an introductory course on queueing theory. With its rigorous coverage of basic material and extensive bibliography of the queueing literature, the work may also be useful to applied scientists and practitioners as a self-study reference for applications and further research. "...This book has brought a freshness and novelty as it deals mainly with modeling and analysis in applications as well as with statistical inference for queueing problems. With his 40 years of valuable experience in teaching and high level research in this subject area, Professor Bhat has been able to achieve what he aimed: to make [the work] somewhat different in content and approach from other books." - Assam Statistical Review of the first edition
An Elementary Introduction To Queueing Systems
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Author : Wah Chun Chan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014
An Elementary Introduction To Queueing Systems written by Wah Chun Chan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Technology & Engineering categories.
Ch. 1. Modeling of queueing systems. 1.1. Mathematical modeling. 1.2. The Poisson input process. 1.3. Superposition of independent Poisson processes. 1.4. Decomposition of a Poisson process. 1.5. The exponential interarrival time distribution. 1.6. The Markov property or memoryless property. 1.7. Relationship between the Poisson distribution and the exponential distribution. 1.8. The service time distribution. 1.9. The residual service time distribution. 1.10. The birth and death process. 1.11. The outside observer's distribution and the arriving customer's distribution -- ch. 2. Queueing systems with losses. 2.1. Introduction. 2.2. The Erlang loss system. 2.3. The Erlang loss formula -- ch. 3. Queueing systems allowing waiting. 3.1. Introduction. 3.2. The Erlang delay system. 3.3. The distribution function of the waiting time. 3.4. Little's formula -- ch. 4. The Engset loss and delay systems. 4.1. Introduction. 4.2. The Engset loss system. 4.3. The arriving customer's distribution for the Engset loss system. 4.4. The offered load and carried load in the Engset loss system. 4.5. The Engset delay system. 4.6. The waiting time distribution function for the Engset delay system. 4.7. The mean waiting time in the Engset delay system. 4.8. The offered load and carried load in the Engset delay system -- ch. 5. Queueing systems with a single server. 5.1. Introduction. 5.2. The M/M/1 queue. 5.3. The M/G/1 queue and the Pollaczek-Khinchin formula for the mean waiting time. 5.4. The M/G/1 queue with vacations. 5.5. The M/G/1 queue with priority discipline. 5.6. The GI/M/1 queue
Queueing Theory For Telecommunications
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Author : Attahiru Sule Alfa
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-28
Queueing Theory For Telecommunications written by Attahiru Sule Alfa 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 2010-07-28 with Computers categories.
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.
Performance Analysis Of Queuing And Computer Networks
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Author : G.R. Dattatreya
language : en
Publisher: CRC Press
Release Date : 2008-06-09
Performance Analysis Of Queuing And Computer Networks written by G.R. Dattatreya and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-09 with Computers categories.
Performance Analysis of Queuing and Computer Networks develops simple models and analytical methods from first principles to evaluate performance metrics of various configurations of computer systems and networks. It presents many concepts and results of probability theory and stochastic processes. After an introduction to queues in computer networks, this self-contained book covers important random variables, such as Pareto and Poisson, that constitute models for arrival and service disciplines. It then deals with the equilibrium M/M/1/∞queue, which is the simplest queue that is amenable for analysis. Subsequent chapters explore applications of continuous time, state-dependent single Markovian queues, the M/G/1 system, and discrete time queues in computer networks. The author then proceeds to study networks of queues with exponential servers and Poisson external arrivals as well as the G/M/1 queue and Pareto interarrival times in a G/M/1 queue. The last two chapters analyze bursty, self-similar traffic, and fluid flow models and their effects on queues.
Queueing Theory 2
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Author : Vladimir Anisimov
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-27
Queueing Theory 2 written by Vladimir Anisimov 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 second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).
Stochastic Models In Queueing Theory
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Author : Jyotiprasad Medhi
language : en
Publisher: Elsevier
Release Date : 2002-11-06
Stochastic Models In Queueing Theory written by Jyotiprasad Medhi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-06 with Mathematics categories.
This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. - Current, clear and comprehensive coverage - A wealth of interesting and relevant examples and exercises to reinforce concepts - Reference lists provided after each chapter for further investigation