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Applied Probability and Queues

Applied Probability and Queues
Author: Soeren Asmussen
Publisher: Springer Science & Business Media
Total Pages: 451
Release: 2008-01-08
Genre: Mathematics
ISBN: 0387215255

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"This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." --MATHEMATICAL REVIEWS


Applied Probability and Queues Theory

Applied Probability and Queues Theory
Author: Soren Asmussen
Publisher:
Total Pages: 336
Release: 1987-05-06
Genre: Mathematics
ISBN:

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As well as combining a general account of applied probability and stochastic processes with a more specialized treatment of queueing theory, this book provides thorough coverage of the general tools of applied probability, such as Markov chains, renewal theory and regenerative processes.


Probability and Queueing Theory

Probability and Queueing Theory
Author: S. Palaniammal
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 857
Release: 2011-06-30
Genre: Mathematics
ISBN: 8120342445

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Designed as a textbook for the B.E./B.Tech. students of Computer Science and Engineering and Information Technology, this book provides the fundamental concepts and applications of probability and queueing theory. Beginning with a discussion on probability theory, the text analyses in detail the random variables, standard distributions, Markovian and non-Markovian queueing models with finite and infinite capacity, and queue networks. The topics are dealt with in a well-organized sequence with proper explanations along with simple mathematical formulations. KEY FEATURES: Gives concise and clear presentation of the concepts. Provides a large number of illustrative examples, in particular for queueing models and queueing networks, with step-by-step solutions to help students comprehend the concepts with ease. Includes questions asked in university examinations with their solutions for the last several years to help students in preparing for examinations. Provides hints and answers to unsolved problems. Incorporates chapter-end exercises to drill the students in self-study.


Applications of Queueing Theory

Applications of Queueing Theory
Author: C. Newell
Publisher: Springer Science & Business Media
Total Pages: 314
Release: 2013-03-09
Genre: Science
ISBN: 9400959702

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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.


Stochastic Networks and Queues

Stochastic Networks and Queues
Author: Philippe Robert
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662130521

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Queues and stochastic networks are analyzed in this book with purely probabilistic methods. The purpose of these lectures is to show that general results from Markov processes, martingales or ergodic theory can be used directly to study the corresponding stochastic processes. Recent developments have shown that, instead of having ad-hoc methods, a better understanding of fundamental results on stochastic processes is crucial to study the complex behavior of stochastic networks. In this book, various aspects of these stochastic models are investigated in depth in an elementary way: Existence of equilibrium, characterization of stationary regimes, transient behaviors (rare events, hitting times) and critical regimes, etc. A simple presentation of stationary point processes and Palm measures is given. Scaling methods and functional limit theorems are a major theme of this book. In particular, a complete chapter is devoted to fluid limits of Markov processes.


Applications of Queueing Theory

Applications of Queueing Theory
Author: Gordon Frank Newell
Publisher:
Total Pages: 170
Release: 1971
Genre: Mathematics
ISBN:

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Fluid approximations; Simple queueing systems; Stochastic models; Equilibrium distributions; Diffusion approximations; Time-dependent queues; Neglected subjects.


Applied Discrete-Time Queues

Applied Discrete-Time Queues
Author: Attahiru Alfa
Publisher: Springer
Total Pages: 400
Release: 2015-12-26
Genre: Technology & Engineering
ISBN: 1493934201

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This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered. Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.


Fundamentals of Queueing Theory

Fundamentals of Queueing Theory
Author: John F. Shortle
Publisher: John Wiley & Sons
Total Pages: 576
Release: 2018-04-10
Genre: Business & Economics
ISBN: 111894352X

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The definitive guide to queueing theory and its practical applications—features numerous real-world examples of scientific, engineering, and business applications Thoroughly updated and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fifth Edition presents the statistical principles and processes involved in the analysis of the probabilistic nature of queues. Rather than focus narrowly on a particular application area, the authors illustrate the theory in practice across a range of fields, from computer science and various engineering disciplines to business and operations research. Critically, the text also provides a numerical approach to understanding and making estimations with queueing theory and provides comprehensive coverage of both simple and advanced queueing models. As with all preceding editions, this latest update of the classic text features a unique blend of the theoretical and timely real-world applications. The introductory section has been reorganized with expanded coverage of qualitative/non-mathematical approaches to queueing theory, including a high-level description of queues in everyday life. New sections on non-stationary fluid queues, fairness in queueing, and Little’s Law have been added, as has expanded coverage of stochastic processes, including the Poisson process and Markov chains. • Each chapter provides a self-contained presentation of key concepts and formulas, to allow readers to focus independently on topics relevant to their interests • A summary table at the end of the book outlines the queues that have been discussed and the types of results that have been obtained for each queue • Examples from a range of disciplines highlight practical issues often encountered when applying the theory to real-world problems • A companion website features QtsPlus, an Excel-based software platform that provides computer-based solutions for most queueing models presented in the book. Featuring chapter-end exercises and problems—all of which have been classroom-tested and refined by the authors in advanced undergraduate and graduate-level courses—Fundamentals of Queueing Theory, Fifth Edition is an ideal textbook for courses in applied mathematics, queueing theory, probability and statistics, and stochastic processes. This book is also a valuable reference for practitioners in applied mathematics, operations research, engineering, and industrial engineering.


Probability, Statistics, and Queueing Theory

Probability, Statistics, and Queueing Theory
Author: Arnold O. Allen
Publisher: Academic Press
Total Pages: 765
Release: 2014-06-28
Genre: Mathematics
ISBN: 0080571050

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This is a textbook on applied probability and statistics with computer science applications for students at the upper undergraduate level. It may also be used as a self study book for the practicing computer science professional. The successful first edition of this book proved extremely useful to students who need to use probability, statistics and queueing theory to solve problems in other fields, such as engineering, physics, operations research, and management science. The book has also been successfully used for courses in queueing theory for operations research students. This second edition includes a new chapter on regression as well as more than twice as many exercises at the end of each chapter. While the emphasis is the same as in the first edition, this new book makes more extensive use of available personal computer software, such as Minitab and Mathematica.


An Introduction to Queueing Theory

An Introduction to Queueing Theory
Author: L. Breuer
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 2006-02-23
Genre: Mathematics
ISBN: 1402036310

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The present textbook contains the recordsof a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours oflectures and two hours of exercises per week andhas been taughtattheUniversity of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and?rst year gr- uate students of applied probability and computer science, who have already completed an introduction to probability theory. Its purpose is to present - terial that is close enough to concrete queueing models and their applications, while providing a sound mathematical foundation for the analysis of these. Thus the goal of the present book is two–fold. On the one hand, students who are mainly interested in applications easily feel bored by elaborate mathematical questions in the theory of stochastic processes. The presentation of the mathematical foundations in our courses is chosen to cover only the necessary results, which are needed for a solid foundation of the methods of queueing analysis. Further, students oriented - wards applications expect to have a justi?cation for their mathematical efforts in terms of immediate use in queueing analysis. This is the main reason why we have decided to introduce new mathematical concepts only when they will be used in the immediate sequel. On the other hand, students of applied probability do not want any heur- tic derivations just for the sake of yielding fast results for the model at hand.