Retrial Queueing System

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Retrial Queueing Systems

Author : J. R. Artalejo
Publisher : Springer Science & Business Media
ISBN 13 : 3540787259
Total Pages : 320 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Retrial Queueing Systems by : J. R. Artalejo

Download or read book Retrial Queueing Systems written by J. R. Artalejo and published by Springer Science & Business Media. This book was released on 2008-05-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of auto-repeat facilities in telephone systems, as well as the use of random access protocols in computer networks, have led to growing interest in retrial queueing models. Since much of the theory of retrial queues is complex from an analytical viewpoint, with this book the authors give a comprehensive and updated text focusing on approximate techniques and algorithmic methods for solving the analytically intractable models. Retrial Queueing Systems: A Computational Approach also Presents motivating examples in telephone and computer networks. Establishes a comparative analysis of the retrial queues versus standard queues with waiting lines and queues with losses. Integrates a wide range of techniques applied to the main M/G/1 and M/M/c retrial queues, and variants with general retrial times, finite population and the discrete-time case. Surveys basic results of the matrix-analytic formalism and emphasizes the related tools employed in retrial queues. Discusses a few selected retrial queues with QBD, GI/M/1 and M/G/1 structures. Features an abundance of numerical examples, and updates the existing literature. The book is intended for an audience ranging from advanced undergraduates to researchers interested not only in queueing theory, but also in applied probability, stochastic models of the operations research, and engineering. The prerequisite is a graduate course in stochastic processes, and a positive attitude to the algorithmic probability.

Retrial Queues

Author : G Falin
Publisher : CRC Press
ISBN 13 : 9780412785504
Total Pages : 344 pages
Book Rating : 4.7/5 (855 download)

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Book Synopsis Retrial Queues by : G Falin

Download or read book Retrial Queues written by G Falin and published by CRC Press. This book was released on 1997-04-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the careful analysis of several hundred publications, this book uniformly describes basic methods of analysis and critical results of the theory of retrial queues. Chapters discuss: analysis of single-server retrial queues, including stationary and transient distribution of the number in the system, busy period, waiting time process, limit theorems, stochastic inequalities, traffic measurement multiserver retrial queues - ergodicity, explicit formulas, algorithmic solutions, limit theorems, approximations advanced single-server and multiserver retrial queues - models with priority subscribers, non-ersistent subscribers, finite source queues Lecturers, researchers, and students in probability, statistics, operations research, telecommunications, and computer systems modeling analysis will find Retrial Queues to be an invaluable resource.

Queueing Theory 1

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1789450012
Total Pages : 338 pages
Book Rating : 4.7/5 (894 download)

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Book Synopsis Queueing Theory 1 by :

Download or read book Queueing Theory 1 written by and published by John Wiley & Sons. This book was released on 2021-04-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers’ collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.

Fundamentals of Queueing Theory

Author : John F. Shortle
Publisher : John Wiley & Sons
ISBN 13 : 111894352X
Total Pages : 576 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fundamentals of Queueing Theory by : John F. Shortle

Download or read book Fundamentals of Queueing Theory written by John F. Shortle and published by John Wiley & Sons. This book was released on 2018-04-10 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Queueing Theory 2

Author : Vladimir Anisimov
Publisher : John Wiley & Sons
ISBN 13 : 1119755220
Total Pages : 336 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Queueing Theory 2 by : Vladimir Anisimov

Download or read book Queueing Theory 2 written by Vladimir Anisimov and published by John Wiley & Sons. This book was released on 2021-04-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).

Stochastic Models in Queueing Theory

Author : Jyotiprasad Medhi
Publisher : Elsevier
ISBN 13 : 008054181X
Total Pages : 501 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Stochastic Models in Queueing Theory by : Jyotiprasad Medhi

Download or read book Stochastic Models in Queueing Theory written by Jyotiprasad Medhi and published by Elsevier. This book was released on 2002-11-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. - Current, clear and comprehensive coverage - A wealth of interesting and relevant examples and exercises to reinforce concepts - Reference lists provided after each chapter for further investigation

To Queue or Not to Queue

Author : Refael Hassin
Publisher : Springer Science & Business Media
ISBN 13 : 9781402072031
Total Pages : 212 pages
Book Rating : 4.0/5 (72 download)

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Book Synopsis To Queue or Not to Queue by : Refael Hassin

Download or read book To Queue or Not to Queue written by Refael Hassin and published by Springer Science & Business Media. This book was released on 2003 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Queue Or Not To Queue: Equilibrium Behavior in Queueing Systems focuses on the highly interesting, practical viewpoint of customer behavior and its effect on the performance of the queueing system. The book's objectives are threefold: (1) It is a comprehensive survey of the literature on equilibrium behavior of customers and servers in queueing systems. The literature is rich and considerable, but lacks continuity. This book will provide the needed continuity and cover some issues that have not been adequately treated. (2) In addition, it will examine the known results of the field, classify them and identify where and how they relate to each other. (3) And finally, it seeks to fill a number of the gaps in the literature with new results while explicitly outlining open problems in other areas. With this book, it is the authors' paramount purpose is to motivate further research and to help researchers identify new and interesting open problems.

Applied Probability and Queues

Author : Soeren Asmussen
Publisher : Springer Science & Business Media
ISBN 13 : 0387215255
Total Pages : 451 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applied Probability and Queues by : Soeren Asmussen

Download or read book Applied Probability and Queues written by Soeren Asmussen and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Author : Alexander Dudin
Publisher : Springer Nature
ISBN 13 : 3030722473
Total Pages : 441 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Information Technologies and Mathematical Modelling. Queueing Theory and Applications by : Alexander Dudin

Download or read book Information Technologies and Mathematical Modelling. Queueing Theory and Applications written by Alexander Dudin and published by Springer Nature. This book was released on 2021-03-26 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers of the 19th International Conference on Information Technologies and Mathematical Modelling, ITMM 2020, named after A.F. Terpugov, held in Tomsk, Russia, in December 2020. The 31 full papers presented in this volume were carefully reviewed and selected from 82 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.

Matrix-geometric Solutions in Stochastic Models

Author : Marcel F. Neuts
Publisher : Courier Corporation
ISBN 13 : 9780486683423
Total Pages : 356 pages
Book Rating : 4.6/5 (834 download)

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Book Synopsis Matrix-geometric Solutions in Stochastic Models by : Marcel F. Neuts

Download or read book Matrix-geometric Solutions in Stochastic Models written by Marcel F. Neuts and published by Courier Corporation. This book was released on 1994-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include matrix-geometric invariant vectors, buffer models, queues in a random environment and more.

Mathematical Modeling and Computation of Real-Time Problems

Author : Rakhee Kulshrestha
Publisher : CRC Press
ISBN 13 : 1000288676
Total Pages : 172 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Mathematical Modeling and Computation of Real-Time Problems by : Rakhee Kulshrestha

Download or read book Mathematical Modeling and Computation of Real-Time Problems written by Rakhee Kulshrestha and published by CRC Press. This book was released on 2021-01-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.

Applied Probability and Stochastic Processes

Author : V. C. Joshua
Publisher : Springer Nature
ISBN 13 : 9811559511
Total Pages : 521 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Applied Probability and Stochastic Processes by : V. C. Joshua

Download or read book Applied Probability and Stochastic Processes written by V. C. Joshua and published by Springer Nature. This book was released on 2020-08-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected papers presented at the International Conference on Advances in Applied Probability and Stochastic Processes, held at CMS College, Kerala, India, on 7–10 January 2019. It showcases high-quality research conducted in the field of applied probability and stochastic processes by focusing on techniques for the modelling and analysis of systems evolving with time. Further, it discusses the applications of stochastic modelling in queuing theory, reliability, inventory, financial mathematics, operations research, and more. This book is intended for a broad audience, ranging from researchers interested in applied probability, stochastic modelling with reference to queuing theory, inventory, and reliability, to those working in industries such as communication and computer networks, distributed information systems, next-generation communication systems, intelligent transportation networks, and financial markets.

Vacation Queueing Models

Author : Naishuo Tian
Publisher : Springer Science & Business Media
ISBN 13 : 0387337237
Total Pages : 395 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Vacation Queueing Models by : Naishuo Tian

Download or read book Vacation Queueing Models written by Naishuo Tian and published by Springer Science & Business Media. This book was released on 2006-10-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses systematically the many variations of vacation policy. The book discusses a variety of typical vacation model applications. The presentation style is unique compared with the books published in the same field – a "theorem and proof" format is used. Also, this is the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues have been presented in book form.

Stochastic Processes and Models in Operations Research

Author : Anbazhagan, Neelamegam
Publisher : IGI Global
ISBN 13 : 1522500456
Total Pages : 359 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Stochastic Processes and Models in Operations Research by : Anbazhagan, Neelamegam

Download or read book Stochastic Processes and Models in Operations Research written by Anbazhagan, Neelamegam and published by IGI Global. This book was released on 2016-03-24 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision-making is an important task no matter the industry. Operations research, as a discipline, helps alleviate decision-making problems through the extraction of reliable information related to the task at hand in order to come to a viable solution. Integrating stochastic processes into operations research and management can further aid in the decision-making process for industrial and management problems. Stochastic Processes and Models in Operations Research emphasizes mathematical tools and equations relevant for solving complex problems within business and industrial settings. This research-based publication aims to assist scholars, researchers, operations managers, and graduate-level students by providing comprehensive exposure to the concepts, trends, and technologies relevant to stochastic process modeling to solve operations research problems.

Distributed Computer and Communication Networks: Control, Computation, Communications

Author : Vladimir M. Vishnevskiy
Publisher : Springer Nature
ISBN 13 : 3030925072
Total Pages : 379 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Distributed Computer and Communication Networks: Control, Computation, Communications by : Vladimir M. Vishnevskiy

Download or read book Distributed Computer and Communication Networks: Control, Computation, Communications written by Vladimir M. Vishnevskiy and published by Springer Nature. This book was released on 2021-12-14 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of the 24th International Conference on Distributed and Computer and Communication Networks, DCCN 2021, held in Moscow, Russia, in September 2021. The 26 revised full papers and 3 revised short papers were carefully reviewed and selected from 151 submissions. The papers cover the following topics: computer and communication networks; analytical modeling of distributed systems; and distributed systems applications.

Input Modeling with Phase-Type Distributions and Markov Models

Author : Peter Buchholz
Publisher : Springer
ISBN 13 : 3319066749
Total Pages : 137 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Input Modeling with Phase-Type Distributions and Markov Models by : Peter Buchholz

Download or read book Input Modeling with Phase-Type Distributions and Markov Models written by Peter Buchholz and published by Springer. This book was released on 2014-05-20 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing a summary of several recent results on Markov-based input modeling in a coherent notation, this book introduces and compares algorithms for parameter fitting and gives an overview of available software tools in the area. Due to progress made in recent years with respect to new algorithms to generate PH distributions and Markovian arrival processes from measured data, the models outlined are useful alternatives to other distributions or stochastic processes used for input modeling. Graduate students and researchers in applied probability, operations research and computer science along with practitioners using simulation or analytical models for performance analysis and capacity planning will find the unified notation and up-to-date results presented useful. Input modeling is the key step in model based system analysis to adequately describe the load of a system using stochastic models. The goal of input modeling is to find a stochastic model to describe a sequence of measurements from a real system to model for example the inter-arrival times of packets in a computer network or failure times of components in a manufacturing plant. Typical application areas are performance and dependability analysis of computer systems, communication networks, logistics or manufacturing systems but also the analysis of biological or chemical reaction networks and similar problems. Often the measured values have a high variability and are correlated. It’s been known for a long time that Markov based models like phase type distributions or Markovian arrival processes are very general and allow one to capture even complex behaviors. However, the parameterization of these models results often in a complex and non-linear optimization problem. Only recently, several new results about the modeling capabilities of Markov based models and algorithms to fit the parameters of those models have been published.

Fundamentals of Queueing Theory

Author : Donald Gross
Publisher : John Wiley & Sons
ISBN 13 : 1118211642
Total Pages : 402 pages
Book Rating : 4.1/5 (182 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 2011-09-23 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition "This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation . . . solidifies the understanding of the concepts being presented." —IIE Transactions on Operations Engineering Thoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research. This update takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models. Newly featured topics of the Fourth Edition include: Retrial queues Approximations for queueing networks Numerical inversion of transforms Determining the appropriate number of servers to balance quality and cost of service Each chapter provides a self-contained presentation of key concepts and formulae, allowing readers to work with each section independently, while a summary table at the end of the book outlines the types of queues that have been discussed and their results. In addition, two new appendices have been added, discussing transforms and generating functions as well as the fundamentals of differential and difference equations. New examples are now included along with problems that incorporate QtsPlus software, which is freely available via the book's related Web site. With its accessible style and wealth of real-world examples, Fundamentals of Queueing Theory, Fourth Edition is an ideal book for courses on queueing theory at the upper-undergraduate and graduate levels. It is also a valuable resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science.