Sample Path Analysis Of Queueing Systems

Download Sample Path Analysis Of Queueing Systems full books in PDF, epub, and Kindle. Read online Sample Path Analysis Of Queueing Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Sample-Path Analysis of Queueing Systems

Author : Muhammad El-Taha
Publisher : Springer Science & Business Media
ISBN 13 : 1461557216
Total Pages : 303 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Sample-Path Analysis of Queueing Systems by : Muhammad El-Taha

Download or read book Sample-Path Analysis of Queueing Systems written by Muhammad El-Taha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sample Path Analysis of Queueing Systems: New Results

Author : Muhammad Ahmad el Taha
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (256 download)

DOWNLOAD NOW!

Book Synopsis Sample Path Analysis of Queueing Systems: New Results by : Muhammad Ahmad el Taha

Download or read book Sample Path Analysis of Queueing Systems: New Results written by Muhammad Ahmad el Taha and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sample-path Analysis of Queueing Systems

Author : Muhammad A. El-Taha
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (174 download)

DOWNLOAD NOW!

Book Synopsis Sample-path Analysis of Queueing Systems by : Muhammad A. El-Taha

Download or read book Sample-path Analysis of Queueing Systems written by Muhammad A. El-Taha and published by . This book was released on 1986 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sample Path Analysis and Control of Finite Capacity Queueing Systems

Author : Panayotis D. Sparaggis
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (311 download)

DOWNLOAD NOW!

Book Synopsis Sample Path Analysis and Control of Finite Capacity Queueing Systems by : Panayotis D. Sparaggis

Download or read book Sample Path Analysis and Control of Finite Capacity Queueing Systems written by Panayotis D. Sparaggis and published by . This book was released on 1994 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sample Path Analysis of Stochastic Processes

Author : Chaitanya N. Garikiparthi
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (247 download)

DOWNLOAD NOW!

Book Synopsis Sample Path Analysis of Stochastic Processes by : Chaitanya N. Garikiparthi

Download or read book Sample Path Analysis of Stochastic Processes written by Chaitanya N. Garikiparthi and published by . This book was released on 2008 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of processes that occur in nature as well as those that are manifestations of human activities are correlated in nature and can be describe by stochastic non-Markovian processes. Most known theoretical results for these systems are in the steady state domain, assuming that the system has been in operation for a long enough time, and that the state in which the system starts has no effect on the current behavior of the system. Nevertheless steady state assumptions do not hold in many applied situations. In this thesis we provide a framework to stochastically track these processes. Application of this theory provide valuable insights into the transient behavior of these stochastic processes and allows us to model and study the effect of auto-correlations in the driving processes on transient probabilistic (performance) metrics of interest. In order to develop accurate models to represent these systems, we allow the arrival and the service processes that characterize the system to be both general and correlated. We specifically study the busy period and other first passages of and auto-correlated MEP/MEP/1 single server queue to demonstrate the application of tracking these memory-full processes. Analysis presented here is the transient domain and does not require the underlying processes to be in a steady state. In the first part of the thesis we provide solutions to compute the probabilities for exactly 'n' customers being served in a busy period of MEP/MEP/1 queueing system. We then present matrix exponential representations to characterize the lengths of sample paths during these busy periods and derive expressions to compute moments for length of the busy period as well as for the number of customers served during the busy period. In the second part of the thesis, we study the effect of increase in threshold level and the correlations in the arrival and service processes on the mean first passage time to go below a given threshold. Finally we study the busy periods for finite queueing systems, and again study both the length of the busy period and the number of customers served during such a time.

An Introduction to Queueing Theory

Author : U. Narayan Bhat
Publisher : Birkhäuser
ISBN 13 : 0817684212
Total Pages : 343 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Queueing Theory by : U. Narayan Bhat

Download or read book An Introduction to Queueing Theory written by U. Narayan Bhat and published by Birkhäuser. This book was released on 2015-07-09 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Analysis of Queueing Systems

Author : J.A. White
Publisher : Elsevier
ISBN 13 : 0323146600
Total Pages : 543 pages
Book Rating : 4.3/5 (231 download)

DOWNLOAD NOW!

Book Synopsis Analysis of Queueing Systems by : J.A. White

Download or read book Analysis of Queueing Systems written by J.A. White and published by Elsevier. This book was released on 2012-12-02 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Queueing Theory, Methods, and Open Problems

Author : Jewgeni H. Dshalalow
Publisher : CRC Press
ISBN 13 : 1000949931
Total Pages : 530 pages
Book Rating : 4.0/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Advances in Queueing Theory, Methods, and Open Problems by : Jewgeni H. Dshalalow

Download or read book Advances in Queueing Theory, Methods, and Open Problems written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 2023-07-21 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Frontiers in Queueing

Author : Jewgeni H. Dshalalow
Publisher : CRC Press
ISBN 13 : 9780849380761
Total Pages : 482 pages
Book Rating : 4.3/5 (87 download)

DOWNLOAD NOW!

Book Synopsis Frontiers in Queueing by : Jewgeni H. Dshalalow

Download or read book Frontiers in Queueing written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 1997-01-21 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Natarajan Gautam
Publisher : CRC Press
ISBN 13 : 1439806586
Total Pages : 804 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!

Book Synopsis Analysis of Queues by : Natarajan Gautam

Download or read book Analysis of Queues written by Natarajan Gautam and published by CRC Press. This book was released on 2012-04-26 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Probability— Computer Science: The Interface

Author : Ralph L. Disney
Publisher : Springer Science & Business Media
ISBN 13 : 1461257980
Total Pages : 496 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Applied Probability— Computer Science: The Interface by : Ralph L. Disney

Download or read book Applied Probability— Computer Science: The Interface written by Ralph L. Disney and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Design of Queueing Systems

Author : Shaler Stidham Jr.
Publisher : CRC Press
ISBN 13 : 142001000X
Total Pages : 385 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Optimal Design of Queueing Systems by : Shaler Stidham Jr.

Download or read book Optimal Design of Queueing Systems written by Shaler Stidham Jr. and published by CRC Press. This book was released on 2009-03-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Comprehensive Book on the SubjectFocusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially opt

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

Author : Uggappakodi Narayan Bhat
Publisher : Springer
ISBN 13 : 3662397064
Total Pages : 89 pages
Book Rating : 4.6/5 (623 download)

DOWNLOAD NOW!

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

Download or read book A Study of the Queueing Systems M/G/1 and GI/M/1 written by Uggappakodi Narayan Bhat and published by Springer. This book was released on 2013-12-19 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Level Crossing Methods in Stochastic Models

Author : Percy H. Brill
Publisher : Springer
ISBN 13 : 3319503324
Total Pages : 574 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Level Crossing Methods in Stochastic Models by : Percy H. Brill

Download or read book Level Crossing Methods in Stochastic Models written by Percy H. Brill and published by Springer. This book was released on 2017-05-04 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete update of the first edition of Level Crossing Methods in Stochastic Models, which was published in 2008. Level crossing methods are a set of sample-path based mathematical tools used in applied probability to establish reliable probability distributions. Since the basis for solving any applied probability problem requires a reliable probability distribution, Level Crossing Methods in Stochastic Models, Second Edition is a useful tool for all researchers working on stochastic application problems, including inventory control, queueing theory, reliability theory, actuarial ruin theory, renewal theory, pharmacokinetics, and related Markov processes. The second edition includes a new section with a novel derivation of the Beneš series for M/G/1 queues. It provides new results on the service time for three M/G/I queueing models with bounded workload. It analyzes new applications of queues where zero-wait customers get exceptional service, including several examples on M/G/1 queues, and a new section on G/M/1 queues. Additionally, there are two other important new sections: on the level-crossing derivation of the finite time-t probability distributions of excess, age, and total life, in renewal theory; and on a level-crossing analysis of a risk model in Insurance. The original Chapter 10 has been split into two chapters: the new chapter 10 is on renewal theory, and the first section of the new Chapter 11 is on a risk model. More explicit use is made of the renewal reward theorem throughout, and many technical and editorial changes have been made to facilitate readability. Percy H. Brill, Ph.D., is a Professor emeritus at the University of Windsor, Canada. Dr. Brill is the creator of the level crossing method for analyzing stochastic models. He has published extensively in stochastic processes, queueing theory and related models, especially using level crossing methods.

Broadband Communications

Author : Paul J. Kühn
Publisher : Springer
ISBN 13 : 038735378X
Total Pages : 596 pages
Book Rating : 4.3/5 (873 download)

DOWNLOAD NOW!

Book Synopsis Broadband Communications by : Paul J. Kühn

Download or read book Broadband Communications written by Paul J. Kühn and published by Springer. This book was released on 2013-06-29 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Services such as for Internet data and multimedia applications, have caused a fast growing demand for broadband communications. The fundamental technologies for the integration of these services have been developed in the last decade: optical communications, photonic switching, high speed local area networks, Asynchronous Transfer Mode (ATM), ISDN and B-ISDN, Internet packet networks and mobile communications. The development was possible through the dynamic progress in communication and computer technologies and through worldwide standardization activities within ITU-T, the ATM Forum, the IETF, IEEE, ANSI, ETSI and other bodies. These developments have been supported by research and field trial programmes. Past developments, such as about LAN, Internet or ISDN networking technologies, have shown that it needs a time span of 10 years for a new technology from its research stage to its full application. Broadband Communications is just at its onset for full deployment. It will have a dramatic effect not only on the networking situation but on the whole development of information technology throughout our social and economic life, which is expressed by the conference theme ,The Future of Telecommunications". The Broadband Communications conference series of IFIP WG 6. 2 addresses the fundamental technical and theoretical problems related with these technologies. BC '98 is the fourth meeting in a series on conferences being held in Stuttgart, Germany. The previous confernces were held in Estoril, Portugal, in 1992, in Paris, France, in 1994, and in Montreal, Canada, in 1996.

Queueing Modelling Fundamentals

Author : Professor Chee-Hock Ng
Publisher : John Wiley & Sons
ISBN 13 : 9780470994665
Total Pages : 292 pages
Book Rating : 4.9/5 (946 download)

DOWNLOAD NOW!

Book Synopsis Queueing Modelling Fundamentals by : Professor Chee-Hock Ng

Download or read book Queueing Modelling Fundamentals written by Professor Chee-Hock Ng and published by John Wiley & Sons. This book was released on 2008-04-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing analysis is a vital tool used in the evaluation of system performance. Applications of queueing analysis cover a wide spectrum from bank automated teller machines to transportation and communications data networks. Fully revised, this second edition of a popular book contains the significant addition of a new chapter on Flow & Congestion Control and a section on Network Calculus among other new sections that have been added to remaining chapters. An introductory text, Queueing Modelling Fundamentals focuses on queueing modelling techniques and applications of data networks, examining the underlying principles of isolated queueing systems. This book introduces the complex queueing theory in simple language/proofs to enable the reader to quickly pick up an overview to queueing theory without utilizing the diverse necessary mathematical tools. It incorporates a rich set of worked examples on its applications to communication networks. Features include: Fully revised and updated edition with significant new chapter on Flow and Congestion Control as-well-as a new section on Network Calculus A comprehensive text which highlights both the theoretical models and their applications through a rich set of worked examples, examples of applications to data networks and performance curves Provides an insight into the underlying queuing principles and features step-by-step derivation of queueing results Written by experienced Professors in the field Queueing Modelling Fundamentals is an introductory text for undergraduate or entry-level post-graduate students who are taking courses on network performance analysis as well as those practicing network administrators who want to understand the essentials of network operations. The detailed step-by-step derivation of queueing results also makes it an excellent text for professional engineers.

Introduction to Queueing Systems with Telecommunication Applications

Author : László Lakatos
Publisher : Springer
ISBN 13 : 3030151425
Total Pages : 559 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Queueing Systems with Telecommunication Applications by : László Lakatos

Download or read book Introduction to Queueing Systems with Telecommunication Applications written by László Lakatos and published by Springer. This book was released on 2019-05-16 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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