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An Elementary Introduction To Queueing Systems


An Elementary Introduction To Queueing Systems
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An Elementary Introduction To Queueing Systems


An Elementary Introduction To Queueing Systems
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Author : Wah Chun Chan
language : en
Publisher: World Scientific
Release Date : 2014-05-29

An Elementary Introduction To Queueing Systems written by Wah Chun Chan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-29 with Technology & Engineering categories.


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.



An Introduction To Queueing Theory


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 Introduction To Queueing Systems


An Introduction To Queueing Systems
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Author : Sanjay K. Bose
language : en
Publisher:
Release Date : 2014-09-01

An Introduction To Queueing Systems written by Sanjay K. Bose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.




Introduction To Queueing Systems With Telecommunication Applications


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


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.



Queueing Systems


Queueing Systems
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Author :
language : en
Publisher:
Release Date : 1996

Queueing Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




An Introduction To Queueing Theory


An Introduction To Queueing Theory
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Author : Brian D. Bunday
language : en
Publisher: Hodder Education
Release Date : 1996

An Introduction To Queueing Theory written by Brian D. Bunday and has been published by Hodder Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


Developed from a successful course on queueing theory for students in operational research, this textbook develops a wide variety of realistic queueing systems. The models are developed carefully and linked to important examples. The material assumes a background in calculus and probability. Topics include birth-death models, Markov chains, and transient solutions, and the book includes numerous exercises with solutions.



Introduction To Queueing Networks


Introduction To Queueing Networks
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Author : J. MacGregor Smith
language : en
Publisher: Springer
Release Date : 2018-08-28

Introduction To Queueing Networks written by J. MacGregor Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Mathematics categories.


The book examines the performance and optimization of systems where queueing and congestion are important constructs. Both finite and infinite queueing systems are examined. Many examples and case studies are utilized to indicate the breadth and depth of the queueing systems and their range of applicability. Blocking of these processes is very important and the book shows how to deal with this problem in an effective way and not only compute the performance measures of throughput, cycle times, and WIP but also to optimize the resources within these systems. The book is aimed at advanced undergraduate, graduate, and professionals and academics interested in network design, queueing performance models and their optimization. It assumes that the audience is fairly sophisticated in their mathematical understanding, although the explanations of the topics within the book are fairly detailed.



Introduction To Queueing Theory


Introduction To Queueing Theory
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Author : Robert B. Cooper
language : en
Publisher: North-Holland
Release Date : 1981

Introduction To Queueing Theory written by Robert B. Cooper and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.




Queueing Systems Volume 2


Queueing Systems Volume 2
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Author : Leonard Kleinrock
language : en
Publisher: Wiley-Interscience
Release Date : 1976-05-06

Queueing Systems Volume 2 written by Leonard Kleinrock and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-05-06 with Mathematics categories.


Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as conduct creative research in the field. It provides a long-needed alternative both to highly mathematical texts and to those which are simplistic or limited in approach. Written in mathematical language, it avoids the "theorem-proof" technique: instead, it guides the reader through a step-by-step, intuitively motivated yet precise development leading to a natural discovery of results. Queueing Systems, Volume I covers material ranging from a refresher on transform and probability theory through the treatment of advanced queueing systems. It is divided into four sections: 1) preliminaries; 2) elementary queueing theory; 3) intermediate queueing theory; and 4) advanced material. Important features of Queueing Systems, Volume 1: Theory include- * techniques of duality, collective marks * queueing networks * complete appendix on z-transforms and Laplace transforms * an entire appendix on probability theory, providing the notation and main results needed throughout the text * definition and use of a new and convenient graphical notation for describing the arrival and departure of customers to a queueing system * a Venn diagram classification of many common stochastic processes 1975 (0 471-49110-1) 417 pp. Fundamentals of Queueing Theory Second Edition Donald Gross and Carl M. Harris This graduated, meticulous look at queueing fundamentals developed from the authors' lecture notes presents all aspects of the methodology-including Simple Markovian birth-death queueing models; advanced Markovian models; networks, series, and cyclic queues; models with general arrival or service patterns; bounds, approximations, and numerical techniques; and simulation-in a style suitable to courses of study of widely varying depth and duration. This Second Edition features new expansions and abridgements which enhance pedagogical use: new material on numerical solution techniques for both steady-state and transient solutions; changes in simulation language and new results in statistical analysis; and more. Complete with a solutions manual, here is a comprehensive, rigorous introduction to the basics of the discipline. 1985 (0 471-89067-7) 640 pp.