Difference And Differential Equations With Applications In Queueing Theory

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Difference and Differential Equations with Applications in Queueing Theory

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
ISBN 13 : 1118393244
Total Pages : 418 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Difference and Differential Equations with Applications in Queueing Theory by : Aliakbar Montazer Haghighi

Download or read book Difference and Differential Equations with Applications in Queueing Theory written by Aliakbar Montazer Haghighi and published by John Wiley & Sons. This book was released on 2013-07-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.

Difference Equations with Applications to Queues

Author : David L. Jagerman
Publisher : CRC Press
ISBN 13 : 0824746600
Total Pages : 277 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Difference Equations with Applications to Queues by : David L. Jagerman

Download or read book Difference Equations with Applications to Queues written by David L. Jagerman and published by CRC Press. This book was released on 2000-08-22 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

Delayed and Network Queues

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
ISBN 13 : 1119022142
Total Pages : 416 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Delayed and Network Queues by : Aliakbar Montazer Haghighi

Download or read book Delayed and Network Queues written by Aliakbar Montazer Haghighi and published by John Wiley & Sons. This book was released on 2016-09-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to differential equations, probability, and stochastic processes with real-world applications of queues with delay and delayed network queues Featuring recent advances in queueing theory and modeling, Delayed and Network Queues provides the most up-to-date theories in queueing model applications. Balancing both theoretical and practical applications of queueing theory, the book introduces queueing network models as tools to assist in the answering of questions on cost and performance that arise throughout the life of a computer system and signal processing. Written by well-known researchers in the field, the book presents key information for understanding the essential aspects of queues with delay and networks of queues with unreliable nodes and vacationing servers. Beginning with simple analytical fundamentals, the book contains a selection of realistic and advanced queueing models that address current deficiencies. In addition, the book presents the treatment of queues with delay and networks of queues, including possible breakdowns and disruptions that may cause delay. Delayed and Network Queues also features: Numerous examples and exercises with applications in various fields of study such as mathematical sciences, biomathematics, engineering, physics, business, health industry, and economics A wide array of practical applications of network queues and queueing systems, all of which are related to the appropriate stochastic processes Up-to-date topical coverage such as single- and multiserver queues with and without delays, along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multiserver Markovian queues with balking, reneging, delay, feedback, splitting, and blocking, as well as their role in the treatment of networks of queues with and without delay and network reliability Delayed and Network Queues is an excellent textbook for upper-undergraduate and graduate-level courses in applied mathematics, queueing theory, queueing systems, probability, and stochastic processes. The book is also an ideal reference for academics and practitioners in mathematical sciences, biomathematics, operations research, management, engineering, physics, business, economics, health industry, and industrial engineering. Aliakbar Montazer Haghighi, PhD, is Professor and Head of the Department of Mathematics at Prairie View A&M University, USA, as well as founding Editor-in-Chief of Applications and Applied Mathematics: An International Journal (AAM). His research interests include probability, statistics, stochastic processes, and queueing theory. Among his research publications and books, Dr. Haghighi is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013). Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University, USA. His research interests include differential and difference equations and queueing theory. The author of numerous research papers and three books, Dr. Mishev is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013).

Queueing

Author : Walter C. Giffin
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Queueing by : Walter C. Giffin

Download or read book Queueing written by Walter C. Giffin and published by . This book was released on 1978 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary markov chains; Markov chain computations; Continuous time processes; Birth-death process in queues; Prototype steady-state models; Transient solutions; Time varying inputs; Imbedded markov chains; Bulk queues; Networks of queues; Special topics; Model selection and data analysis; Parameter estimation and hypothesis testing.

Difference Equations with Applications to Queues

Author : David L. Jagerman
Publisher : CRC Press
ISBN 13 : 9780824703882
Total Pages : 246 pages
Book Rating : 4.7/5 (38 download)

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Book Synopsis Difference Equations with Applications to Queues by : David L. Jagerman

Download or read book Difference Equations with Applications to Queues written by David L. Jagerman and published by CRC Press. This book was released on 2000-08-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

Fundamentals of Queueing Theory

Author : Donald Gross
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamentals of Queueing Theory by : Donald Gross

Download or read book Fundamentals of Queueing Theory written by Donald Gross and published by John Wiley & Sons. This book was released on 1985 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text and reference on queueing theory, covering everything from the development of standard models to applications. The focus is on real analysis of queueing systems applications and problem solving. The second edition has been expanded to include new material on statistical inference in queueing and updated to reflect changes in simulation languages and new results in statistical analysis of simulation output such as regenerative techniques. The book contains a new section on the fundamentals of Markov processes, in addition to new chapters on advanced Markov Models, queueing networks, and bounds and approximations.

Delayed and Network Queues

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
ISBN 13 : 1119022134
Total Pages : 416 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Delayed and Network Queues by : Aliakbar Montazer Haghighi

Download or read book Delayed and Network Queues written by Aliakbar Montazer Haghighi and published by John Wiley & Sons. This book was released on 2016-10-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to differential equations, probability, and stochastic processes with real-world applications of queues with delay and delayed network queues Featuring recent advances in queueing theory and modeling, Delayed and Network Queues provides the most up-to-date theories in queueing model applications. Balancing both theoretical and practical applications of queueing theory, the book introduces queueing network models as tools to assist in the answering of questions on cost and performance that arise throughout the life of a computer system and signal processing. Written by well-known researchers in the field, the book presents key information for understanding the essential aspects of queues with delay and networks of queues with unreliable nodes and vacationing servers. Beginning with simple analytical fundamentals, the book contains a selection of realistic and advanced queueing models that address current deficiencies. In addition, the book presents the treatment of queues with delay and networks of queues, including possible breakdowns and disruptions that may cause delay. Delayed and Network Queues also features: Numerous examples and exercises with applications in various fields of study such as mathematical sciences, biomathematics, engineering, physics, business, health industry, and economics A wide array of practical applications of network queues and queueing systems, all of which are related to the appropriate stochastic processes Up-to-date topical coverage such as single- and multiserver queues with and without delays, along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multiserver Markovian queues with balking, reneging, delay, feedback, splitting, and blocking, as well as their role in the treatment of networks of queues with and without delay and network reliability Delayed and Network Queues is an excellent textbook for upper-undergraduate and graduate-level courses in applied mathematics, queueing theory, queueing systems, probability, and stochastic processes. The book is also an ideal reference for academics and practitioners in mathematical sciences, biomathematics, operations research, management, engineering, physics, business, economics, health industry, and industrial engineering. Aliakbar Montazer Haghighi, PhD, is Professor and Head of the Department of Mathematics at Prairie View A&M University, USA, as well as founding Editor-in-Chief of Applications and Applied Mathematics: An International Journal (AAM). His research interests include probability, statistics, stochastic processes, and queueing theory. Among his research publications and books, Dr. Haghighi is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013). Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University, USA. His research interests include differential and difference equations and queueing theory. The author of numerous research papers and three books, Dr. Mishev is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013).

Applications of Queueing Theory

Author : Gordon Frank Newell
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Queueing Theory by : Gordon Frank Newell

Download or read book Applications of Queueing Theory written by Gordon Frank Newell and published by . This book was released on 1971 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid approximations; Simple queueing systems; Stochastic models; Equilibrium distributions; Diffusion approximations; Time-dependent queues; Neglected subjects.

Higher Mathematics for Science and Engineering

Author : Aliakbar Montazer Haghighi
Publisher : Springer Nature
ISBN 13 : 9819954312
Total Pages : 682 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Higher Mathematics for Science and Engineering by : Aliakbar Montazer Haghighi

Download or read book Higher Mathematics for Science and Engineering written by Aliakbar Montazer Haghighi and published by Springer Nature. This book was released on with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory Of Difference Equations Numerical Methods And Applications

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780203910290
Total Pages : 328 pages
Book Rating : 4.9/5 (12 download)

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Book Synopsis Theory Of Difference Equations Numerical Methods And Applications by : V. Lakshmikantham

Download or read book Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and published by CRC Press. This book was released on 2002-06-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

Queueing Theory in Manufacturing Systems Analysis and Design

Author : H.T. Papadopolous
Publisher : Springer Science & Business Media
ISBN 13 : 9780412387203
Total Pages : 426 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Queueing Theory in Manufacturing Systems Analysis and Design by : H.T. Papadopolous

Download or read book Queueing Theory in Manufacturing Systems Analysis and Design written by H.T. Papadopolous and published by Springer Science & Business Media. This book was released on 1993-09-30 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the book is to acquaint the reader with the use of queueing theory in the analysis of manufacturing systems.

Queueing Theory

Author : P. P. Bocharov
Publisher : Walter de Gruyter
ISBN 13 : 311093602X
Total Pages : 461 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Queueing Theory by : P. P. Bocharov

Download or read book Queueing Theory written by P. P. Bocharov and published by Walter de Gruyter. This book was released on 2011-09-08 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Differential-Difference Equations

Author : Bellman
Publisher : Academic Press
ISBN 13 : 0080955142
Total Pages : 484 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential-Difference Equations by : Bellman

Download or read book Differential-Difference Equations written by Bellman and published by Academic Press. This book was released on 1963-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential-Difference Equations

Mathematical Methods of Operations Research

Author : Thomas L. Saaty
Publisher : Courier Corporation
ISBN 13 : 9780486495699
Total Pages : 486 pages
Book Rating : 4.4/5 (956 download)

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Book Synopsis Mathematical Methods of Operations Research by : Thomas L. Saaty

Download or read book Mathematical Methods of Operations Research written by Thomas L. Saaty and published by Courier Corporation. This book was released on 2004-01-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first graduate-level text devoted to the subject, this classic offers a concise history and overview of methods as well as an excellent exposition of the mathematical foundations underlying classical operations research procedures. It begins with a review of historical, scientific, and mathematical aspects; examples and ideas related to classical methods of forming models introduce discussions of optimization, game theory, applications of probability, and queuing theory. Carefully selected exercises illustrate important and useful ideas. This text is an ideal introduction for students to the basic mathematics of operations research as well as a valuable source of references to early literature on operations research. 1959 edition.

Applications of Queueing Theory

Author : C. Newell
Publisher : Springer Science & Business Media
ISBN 13 : 9400959702
Total Pages : 314 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Applications of Queueing Theory by : C. Newell

Download or read book Applications of Queueing Theory written by C. Newell and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature on queueing theory is already very large. It contains more than a dozen books and about a thousand papers devoted exclusively to the subject; plus many other books on probability theory or operations research in which queueing theory is discussed. Despite this tremendous activity, queueing theory, as a tool for analysis of practical problems, remains in a primitive state; perhaps mostly because the theory has been motivated only superficially by its potential applications. People have devoted great efforts to solving the 'wrong problems. ' Queueing theory originated as a very practical subject. Much ofthe early work was motivated by problems concerning telephone traffic. Erlang, in particular, made many important contributions to the subject in the early part of this century. Telephone traffic remained one of the principle applications until about 1950. After World War II, activity in the fields of operations research and probability theory grew rapidly. Queueing theory became very popular, particularly in the late 1950s, but its popularity did not center so much around its applications as around its mathematical aspects. With the refine ment of some clever mathematical tricks, it became clear that exact solutions could be found for a large number of mathematical problems associated with models of queueing phenomena. The literature grew from 'solutions looking for a problem' rather than from 'problems looking for a solution.

An Introduction to Queueing Theory

Author : U. Narayan Bhat
Publisher : Birkhäuser
ISBN 13 : 0817684212
Total Pages : 339 pages
Book Rating : 4.8/5 (176 download)

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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 339 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

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)

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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.