An Introduction to Queueing Theory

Modeling and Analysis in Applications

Author: U. Narayan Bhat

Publisher: Birkhäuser

ISBN: 0817684212

Category: Mathematics

Page: 339

View: 6368

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
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Advances in Computational Intelligence

Proceedings of International Conference on Computational Intelligence 2015

Author: Sudip Kumar Sahana,Sujan Kumar Saha

Publisher: Springer

ISBN: 9811025258

Category: Computers

Page: 450

View: 4460

This volume comprises the proceedings of the International Conference on Computational Intelligence 2015 (ICCI15). This book aims to bring together work from leading academicians, scientists, researchers and research scholars from across the globe on all aspects of computational intelligence. The work is composed mainly of original and unpublished results of conceptual, constructive, empirical, experimental, or theoretical work in all areas of computational intelligence. Specifically, the major topics covered include classical computational intelligence models and artificial intelligence, neural networks and deep learning, evolutionary swarm and particle algorithms, hybrid systems optimization, constraint programming, human-machine interaction, computational intelligence for the web analytics, robotics, computational neurosciences, neurodynamics, bioinspired and biomorphic algorithms, cross disciplinary topics and applications. The contents of this volume will be of use to researchers and professionals alike.
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Reliable and Autonomous Computational Science

International Conference, RACS 2010, Atlanta, GA, USA, October 27-30, 2010

Author: Sung Y. Shin,Rex Gantenbein,Tei-Wei Kuo,Jiman Hong

Publisher: Springer Science & Business Media

ISBN: 3034800312

Category: Computers

Page: 410

View: 4746

Increasing size and complexity of software and hardware systems makes it harder to ensure their reliability. At the same time, the issues of autonomous computing become more critical as we more and more rely on software systems in our daily life. Such complexity is getting even more critical with the ubiquitous computing of embedded devices and other pervasive systems. These trends ask for techniques and tools for developing reliable and autonomous software which can support software engineers in their efforts. This book summarizes the state of the art of research in the diverse fields concerned, including novel designs, case studies and experimental as well as theoretical results.
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Advances in Queueing Theory, Methods, and Open Problems

Author: Jewgeni H. Dshalalow

Publisher: CRC Press

ISBN: 9780849380747

Category: Business & Economics

Page: 528

View: 3297

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.
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Outsourcing Management for Supply Chain Operations and Logistics Service

Author: Folinas, Dimitris

Publisher: IGI Global

ISBN: 1466620099

Category: Business & Economics

Page: 596

View: 3327

Logistics and Supply Chain Management has been a vital part of every economy and every business entity. Both sciences have become prestigious research fields focusing on best practices, concepts, and methods. Outsourcing Management for Supply Chain Operations and Logistics Services is concentrated on the key players of the outsourcing paradigm; the organizations that provide logistics services, the Third Party Logistics (3PL’s), as well as their clients, presenting and promoting the lessons learned by their cooperation. Specifically, this publication presents studies which are relevant to practitioners, researchers, students, and clients of the application of the Outsourcing practice on the Logistics and Supply Chain Management services giving emphasis to 3PL’s.
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Grundlagen der Warteschlangentheorie

Author: Dieter Baum

Publisher: Springer-Verlag

ISBN: 3642396321

Category: Mathematics

Page: 602

View: 6389

Dieses Buch präsentiert die Grundlagen der stochastischen Modellierung — Maßtheorie, Wahrscheinlichkeitstheorie, Theorie stochastischer Prozesse und Markov-Theorie — in ihrer natürlichen Aufbaufolge. Damit und ergänzt durch einen Anhang zu wichtigen Begriffsbildungen der allgemeinen Topologie, werden die wesentlichen Aussagen der Warteschlangentheorie auf ein solides mathematisches Fundament gestellt. Kapitel 5 behandelt klassische Markov- und Semi-Markov-Modelle, die Phasenmethode, Markov-additive Ankunftsprozesse, das BMAP/G/1-System und Matrix-geometrische Verteilungen. Kapitel 6 ist räumlichen Ankunftsprozessen vom Typ BMAP gewidmet (Modellierung zeitlich variierender und flächenhaft verteilter Bedienanforderungen mittels zufälliger Punktfelder). Gegenstand des letzten Kapitels sind Reversibilitäts- und Balance-Eigenschaften klassischer Warteschlangennetze. Studierende der Mathematik, Informatik und Elektrotechnik führt das Buch in die breit gestreute wissenschaftliche Literatur zum Thema ein.​
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Manufacturing Systems Modeling and Analysis

Author: Guy L. Curry,Richard M. Feldman

Publisher: Springer Science & Business Media

ISBN: 3540887636

Category: Technology & Engineering

Page: 328

View: 2926

This textbook was developed to ?ll the need for an accessible but comprehensive presentation of the analytical approaches for modeling and analyzing models of manufacturing and production systems. It is an out growth of the efforts within the Industrial and Systems Engineering Department at Texas A&M to develop and teach an analytically based undergraduate course on probabilisticmodeling of m- ufacturingtype systems. The level of this textbook is directed at undergraduate and masters students in engineering and mathematical sciences. The only prerequisite for students using this textbook is a previous course covering calculus-based pr- abilityand statistics. The underlyingmethodology is queueing theory, and we shall develop the basic concepts in queueing theory in suf?cient detail that the reader need not have previously covered it. Queueing theory is a well-established dis- plinedatingback to theearly 1900’sworkof A. K. Erlang, a Danish mathematician, on telephone traf?c congestion. Although there are many textbooks on queueing theory, these texts are generally oriented to the methodological development of the ?eld and exact results and not to the practical application of using approximations in realistic modeling situations. The application of queueing theory to manufact- ing type systems started with the approximation based work of Ward Whitt in the 1980’s. His paper on QNA (a queueing network analyzer) in 1983 is the base from which most applied modeling efforts have evolved. There are several textbooks with titles similar to this book.
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Amstat News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Statistics

Page: N.A

View: 7672

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Computer Performance Evaluation. Modelling Techniques and Tools

13th International Conference, TOOLS 2003, Urbana, IL, USA, September 2-5, 2003, Proceedings

Author: Ill.) Tools 200 (2003 Urbana,Peter Kemper

Publisher: Springer Science & Business Media

ISBN: 9783540408147

Category: Computers

Page: 307

View: 3359

This book constitutes the refereed proceedings of the 13th International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, TOOLS 2003, held in Urbana, IL, USA, in September 2003. The 17 revised full papers presented together with a keynote paper were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on tools for measuring, benchmarking, and online control; tools for evaluation of stochastic models; queueing models; Markovian arrival processes and phase-type distributions; and supporting model-based design of systems.
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Applied Probability and Queues

Author: Soeren Asmussen,Søren Asmussen

Publisher: Springer Science & Business Media

ISBN: 9780387002118

Category: Business & Economics

Page: 438

View: 3002

This updated new edition introduces the reader to the fundamentals of queueing theory, including Markov processes and random walks. It contains an extended treatment of queueing networks and matrix analytic methods as well as additional topics like Poisson's equation, Palm theory and heavy tails.
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Queueing Networks and Markov Chains

Modeling and Performance Evaluation with Computer Science Applications

Author: Gunter Bolch,Stefan Greiner,Hermann de Meer,Kishor S. Trivedi

Publisher: John Wiley & Sons

ISBN: 0471791563

Category: Technology & Engineering

Page: 896

View: 6291

Critically acclaimed text for computer performance analysis--now in its second edition The Second Edition of this now-classic text provides a current and thorough treatment of queueing systems, queueing networks, continuous and discrete-time Markov chains, and simulation. Thoroughly updated with new content, as well as new problems and worked examples, the text offers readers both the theory and practical guidance needed to conduct performance and reliability evaluations of computer, communication, and manufacturing systems. Starting with basic probability theory, the text sets the foundation for the more complicated topics of queueing networks and Markov chains, using applications and examples to illustrate key points. Designed to engage the reader and build practical performance analysis skills, the text features a wealth of problems that mirror actual industry challenges. New features of the Second Edition include: * Chapter examining simulation methods and applications * Performance analysis applications for wireless, Internet, J2EE, and Kanban systems * Latest material on non-Markovian and fluid stochastic Petri nets, as well as solution techniques for Markov regenerative processes * Updated discussions of new and popular performance analysis tools, including ns-2 and OPNET * New and current real-world examples, including DiffServ routers in the Internet and cellular mobile networks With the rapidly growing complexity of computer and communication systems, the need for this text, which expertly mixes theory and practice, is tremendous. Graduate and advanced undergraduate students in computer science will find the extensive use of examples and problems to be vital in mastering both the basics and the fine points of the field, while industry professionals will find the text essential for developing systems that comply with industry standards and regulations.
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Fundamentals of Queuing Systems

Statistical Methods for Analyzing Queuing Models

Author: Nick T. Thomopoulos

Publisher: Springer Science & Business Media

ISBN: 1461437121

Category: Business & Economics

Page: 182

View: 8209

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.
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Catalogs of Courses

Author: University of California, Berkeley

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 4894

Includes general and summer catalogs issued between 1878/1879 and 1995/1997.
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Delayed and Network Queues

Author: Aliakbar Montazer Haghighi,Dimitar P. Mishev

Publisher: John Wiley & Sons

ISBN: 1119022134

Category: Business & Economics

Page: 408

View: 7219

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).
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Probability, Statistics and Queueing Theory

With Computer Science Application

Author: Arnold O. Allen

Publisher: Academic Press

ISBN: N.A

Category: Mathematics

Page: 390

View: 7281

Probability; Queueing theory; Statistical inference.
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Introduction to Discrete Event Simulation and Agent-based Modeling

Voting Systems, Health Care, Military, and Manufacturing

Author: Theodore T. Allen

Publisher: Springer Science & Business Media

ISBN: 9780857291394

Category: Technology & Engineering

Page: 215

View: 9688

Discrete event simulation and agent-based modeling are increasingly recognized as critical for diagnosing and solving process issues in complex systems. Introduction to Discrete Event Simulation and Agent-based Modeling covers the techniques needed for success in all phases of simulation projects. These include: • Definition – The reader will learn how to plan a project and communicate using a charter. • Input analysis – The reader will discover how to determine defensible sample sizes for all needed data collections. They will also learn how to fit distributions to that data. • Simulation – The reader will understand how simulation controllers work, the Monte Carlo (MC) theory behind them, modern verification and validation, and ways to speed up simulation using variation reduction techniques and other methods. • Output analysis – The reader will be able to establish simultaneous intervals on key responses and apply selection and ranking, design of experiments (DOE), and black box optimization to develop defensible improvement recommendations. • Decision support – Methods to inspire creative alternatives are presented, including lean production. Also, over one hundred solved problems are provided and two full case studies, including one on voting machines that received international attention. Introduction to Discrete Event Simulation and Agent-based Modeling demonstrates how simulation can facilitate improvements on the job and in local communities. It allows readers to competently apply technology considered key in many industries and branches of government. It is suitable for undergraduate and graduate students, as well as researchers and other professionals.
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Courses of Study

Author: Cornell University

Publisher: N.A

ISBN: N.A

Category: Education

Page: N.A

View: 1397

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Introduction to Probability Models

Author: Sheldon M. Ross

Publisher: Elsevier

ISBN: 0080467822

Category: Mathematics

Page: 800

View: 9293

Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries. This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability. A new section (3.7) on COMPOUND RANDOM VARIABLES, that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions. A new section (4.11) on HIDDDEN MARKOV CHAINS, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states. Simplified Approach for Analyzing Nonhomogeneous Poisson processes Additional results on queues relating to the (a) conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system,; (b) inspection paradox for M/M/1 queues (c) M/G/1 queue with server breakdown Many new examples and exercises.
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