Analysis Of Queueing Systems

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Analysis of Queueing Systems

J.A. White
Analysis of Queueing Systems Book PDF

Author : J.A. White
Publisher : Elsevier
Page : 542 pages
File Size : 46,5 Mb
Release : 2012-12-02
Category : Mathematics
ISBN : 9780323146609

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Analysis of Queueing Systems by J.A. White Pdf

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

Muhammad El-Taha,Shaler Stidham Jr.
Sample Path Analysis of Queueing Systems Book PDF

Author : Muhammad El-Taha,Shaler Stidham Jr.
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461557210

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Sample-Path Analysis of Queueing Systems by Muhammad El-Taha,Shaler Stidham Jr. Pdf

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

Sanjay K. Bose
An Introduction to Queueing Systems Book PDF

Author : Sanjay K. Bose
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 51,7 Mb
Release : 2013-12-01
Category : Computers
ISBN : 9781461500018

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An Introduction to Queueing Systems by Sanjay K. Bose Pdf

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 Queueing Networks with Blocking

Simonetta Balsamo,Vittoria de Nitto Persone,Raif Onvural
Analysis of Queueing Networks with Blocking Book PDF

Author : Simonetta Balsamo,Vittoria de Nitto Persone,Raif Onvural
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 48,5 Mb
Release : 2001
Category : Business & Economics
ISBN : 0792379969

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Analysis of Queueing Networks with Blocking by Simonetta Balsamo,Vittoria de Nitto Persone,Raif Onvural Pdf

Queueing network models have been widely applied as a powerful tool for modelling, performance evaluation, and prediction of discrete flow systems, such as computer systems, communication networks, production lines, and manufacturing systems. Queueing network models with finite capacity queues and blocking have been introduced and applied as even more realistic models of systems with finite capacity resources and with population constraints. In recent years, research in this field has grown rapidly. Analysis of Queueing Networks with Blocking introduces queueing network models with finite capacity and various types of blocking mechanisms. It gives a comprehensive definition of the analytical model underlying these blocking queueing networks. It surveys exact and approximate analytical solution methods and algorithms and their relevant properties. It also presents various application examples of queueing networks to model computer systems and communication networks. This book is organized in three parts. Part I introduces queueing networks with blocking and various application examples. Part II deals with exact and approximate analysis of queueing networks with blocking and the condition under which the various techniques can be applied. Part III presents a review of various properties of networks with blocking, describing several equivalence properties both between networks with and without blocking and between different blocking types. Approximate solution methods for the buffer allocation problem are presented.

Analysis of Queues

Natarajan Gautam
Analysis of Queues Book PDF

Author : Natarajan Gautam
Publisher : CRC Press
Page : 804 pages
File Size : 45,7 Mb
Release : 2012-04-26
Category : Business & Economics
ISBN : 9781439806586

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Analysis of Queues by Natarajan Gautam Pdf

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

U. Narayan Bhat
An Introduction to Queueing Theory Book PDF

Author : U. Narayan Bhat
Publisher : Birkhäuser
Page : 339 pages
File Size : 40,6 Mb
Release : 2015-07-09
Category : Mathematics
ISBN : 9780817684211

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An Introduction to Queueing Theory by U. Narayan Bhat Pdf

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

Fundamentals of Queuing Systems

Nick T. Thomopoulos
Fundamentals of Queuing Systems Book PDF

Author : Nick T. Thomopoulos
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 50,9 Mb
Release : 2012-03-27
Category : Business & Economics
ISBN : 9781461437130

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Fundamentals of Queuing Systems by Nick T. Thomopoulos Pdf

Waiting in lines is a staple of everyday human life. Without really noticing, we are doing it when we go to buy a ticket at a movie theater, stop at a bank to make an account withdrawal, or proceed to checkout a purchase from one of our favorite department stores. Oftentimes, waiting lines are due to overcrowded, overfilling, or congestion; any time there is more customer demand for a service than can be provided, a waiting line forms. Queuing systems is a term used to describe the methods and techniques most ideal for measuring the probability and statistics of a wide variety of waiting line models. This book provides an introduction to basic queuing systems, such as M/M/1 and its variants, as well as newer concepts like systems with priorities, networks of queues, and general service policies. Numerical examples are presented to guide readers into thinking about practical real-world applications, and students and researchers will be able to apply the methods learned to designing queuing systems that extend beyond the classroom. Very little has been published in the area of queuing systems, and this volume will appeal to graduate-level students, researchers, and practitioners in the areas of management science, applied mathematics, engineering, computer science, and statistics.

An Elementary Introduction to Queueing Systems

Wah Chun Chan
An Elementary Introduction to Queueing Systems Book PDF

Author : Wah Chun Chan
Publisher : World Scientific
Page : 116 pages
File Size : 52,6 Mb
Release : 2014-05-29
Category : Technology & Engineering
ISBN : 9789814612029

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An Elementary Introduction to Queueing Systems by Wah Chun Chan Pdf

The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems. Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory. Contents:Modeling of Queueing SystemsQueueing Systems with LossesQueueing Systems Allowing WaitingThe Engset Loss and Delay SystemsQueueing Systems with a Single Server Readership: Researchers, academics, professionals and graduate students in electrical & electronic engineering, computer engineering and mathematical modeling. Keywords:Queueing Systems;Information Theory;Time Distribution Function

Queueing Analysis: Finite systems

Hideaki Takagi
Queueing Analysis Finite systems Book PDF

Author : Hideaki Takagi
Publisher : North Holland
Page : 568 pages
File Size : 55,9 Mb
Release : 1991
Category : Computers
ISBN : UCSD:31822026160283

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Queueing Analysis: Finite systems by Hideaki Takagi Pdf

Queueing models have been used very effectively for the performance of evaluation of many computer and communication systems. As a continuation of Volume 1: Vacation and Priority Systems , which dealt with M/G/1-type systems, this volume explores systems with a finite population (M/G/1/N) and those with a finite capacity (M/G/1/K). The methods of imbedded Markov chains and semi-Markov processes, the delay cycle analysis, and the method of supplementary variables are extensively used. In order to maximise the reader's understanding, multiple approaches have been employed, including the derivation of the results by several techniques. This elaborate presentation of new and important research results applicable to emerging technologies is aimed at engineers and mathematicians alike, with a basic understanding or a comprehensive knowledge of queueing systems. It will be of particular interest to researchers and graduate students of applied probability, operations research, computer science and electrical engineering and to researchers and engineers of performance of computers and communication networks. Volume 3: Discrete Time Systems will follow this volume to complete the set.

Queueing Theory for Telecommunications

Attahiru Sule Alfa
Queueing Theory for Telecommunications Book PDF

Author : Attahiru Sule Alfa
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 51,8 Mb
Release : 2010-07-28
Category : Computers
ISBN : 9781441973146

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Queueing Theory for Telecommunications by Attahiru Sule Alfa Pdf

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.

Introduction to Discrete Event Systems

Christos G. Cassandras,Stéphane Lafortune
Introduction to Discrete Event Systems Book PDF

Author : Christos G. Cassandras,Stéphane Lafortune
Publisher : Springer Nature
Page : 821 pages
File Size : 52,6 Mb
Release : 2021-11-11
Category : Computers
ISBN : 9783030722746

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Introduction to Discrete Event Systems by Christos G. Cassandras,Stéphane Lafortune Pdf

This unique textbook comprehensively introduces the field of discrete event systems, offering a breadth of coverage that makes the material accessible to readers of varied backgrounds. The book emphasizes a unified modeling framework that transcends specific application areas, linking the following topics in a coherent manner: language and automata theory, supervisory control, Petri net theory, Markov chains and queueing theory, discrete-event simulation, and concurrent estimation techniques. Topics and features: detailed treatment of automata and language theory in the context of discrete event systems, including application to state estimation and diagnosis comprehensive coverage of centralized and decentralized supervisory control of partially-observed systems timed models, including timed automata and hybrid automata stochastic models for discrete event systems and controlled Markov chains discrete event simulation an introduction to stochastic hybrid systems sensitivity analysis and optimization of discrete event and hybrid systems new in the third edition: opacity properties, enhanced coverage of supervisory control, overview of latest software tools This proven textbook is essential to advanced-level students and researchers in a variety of disciplines where the study of discrete event systems is relevant: control, communications, computer engineering, computer science, manufacturing engineering, transportation networks, operations research, and industrial engineering. ​Christos G. Cassandras is Distinguished Professor of Engineering, Professor of Systems Engineering, and Professor of Electrical and Computer Engineering at Boston University. Stéphane Lafortune is Professor of Electrical Engineering and Computer Science at the University of Michigan, Ann Arbor.

A Study of the Queueing Systems M/G/1 and GI/M/1

Uggappakodi Narayan Bhat
A Study of the Queueing Systems M G 1 and GI M 1 Book PDF

Author : Uggappakodi Narayan Bhat
Publisher : Springer
Page : 89 pages
File Size : 51,7 Mb
Release : 2013-12-19
Category : Mathematics
ISBN : 9783662397060

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A Study of the Queueing Systems M/G/1 and GI/M/1 by Uggappakodi Narayan Bhat Pdf

This study has grown out of a part of the author's thesis "Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior" submitted to the University of Western Australia (1964) and a course on Queueing Theory given to graduate students in the Operations Research Group of Case Institute of Technology, Cleveland, Ohio. The one semester course (approximately 35 hours) consisted of the following topics. (i) Some of the important special queues such as M/M/s, M/D/s, M/Ek/l etc., with emphasis on the different methods employed in the transient as well as steady state solution. (ii) Imbedded Markov chain analysis of M/G/l and GI/M/l as given in the joint paper of the author and N.U. Prabhu as well as the papers of D.G. Kendall. [All notations and papers are referred to later in the notes]. (iii) The contents of this memorandum. The author feels that such a course prepares the students adequately for an advanced course in Queueing Theory involving topics on Waiting Times, the General Queue GI/G/l and other ramifications such as Priorities, etc. A few words regarding the approach adopted in this study may not be out of place. So far, the time dependent behavior of queueing systems has not found a place in courses given outside the Department of Mathematics.

Performance Modeling and Design of Computer Systems

Mor Harchol-Balter
Performance Modeling and Design of Computer Systems Book PDF

Author : Mor Harchol-Balter
Publisher : Cambridge University Press
Page : 573 pages
File Size : 53,8 Mb
Release : 2013-02-18
Category : Computers
ISBN : 9781107027503

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Performance Modeling and Design of Computer Systems by Mor Harchol-Balter Pdf

Written with computer scientists and engineers in mind, this book brings queueing theory decisively back to computer science.

Queueing Theory in Manufacturing Systems Analysis and Design

H.T. Papadopolous,C. Heavey,J. Browne
Queueing Theory in Manufacturing Systems Analysis and Design Book PDF

Author : H.T. Papadopolous,C. Heavey,J. Browne
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 43,9 Mb
Release : 1993-09-30
Category : Technology & Engineering
ISBN : 0412387204

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Queueing Theory in Manufacturing Systems Analysis and Design by H.T. Papadopolous,C. Heavey,J. Browne Pdf

The objective of the book is to acquaint the reader with the use of queueing theory in the analysis of manufacturing systems.

To Queue or Not to Queue

Refael Hassin,Moshe Haviv
To Queue or Not to Queue Book PDF

Author : Refael Hassin,Moshe Haviv
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 49,8 Mb
Release : 2003
Category : Business & Economics
ISBN : 1402072031

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To Queue or Not to Queue by Refael Hassin,Moshe Haviv Pdf

To Queue Or Not To Queue: Equilibrium Behavior in Queueing Systems focuses on the highly interesting, practical viewpoint of customer behavior and its effect on the performance of the queueing system. The book's objectives are threefold: (1) It is a comprehensive survey of the literature on equilibrium behavior of customers and servers in queueing systems. The literature is rich and considerable, but lacks continuity. This book will provide the needed continuity and cover some issues that have not been adequately treated. (2) In addition, it will examine the known results of the field, classify them and identify where and how they relate to each other. (3) And finally, it seeks to fill a number of the gaps in the literature with new results while explicitly outlining open problems in other areas. With this book, it is the authors' paramount purpose is to motivate further research and to help researchers identify new and interesting open problems.