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.

Retrial Queues

Author : J.G.C. Templeton
Publisher : Taylor & Francis
ISBN 13 : 1351418661
Total Pages : 344 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Retrial Queues by : J.G.C. Templeton

Download or read book Retrial Queues written by J.G.C. Templeton and published by Taylor & Francis. This book was released on 2023-01-06 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.

Retrial Queueing System

Author : J. Ebenesar Anna Bagyam
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783843315623
Total Pages : 96 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Retrial Queueing System by : J. Ebenesar Anna Bagyam

Download or read book Retrial Queueing System written by J. Ebenesar Anna Bagyam and published by LAP Lambert Academic Publishing. This book was released on 2012-04 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chapter One, we see some basic definitions and review of literature related to Retrial Queueing System. Chapter Two deals with a single server retrial queueing model. The server operates under two vacation mechanisms. During service the server may go for vacation to attend an emergency call and after completing the vacation, the server continues the service for the same customer. Upon completion of a service, with a certain probability the server takes multiple vacations depending on the orbit size. In Chapter Three, an bulk arrival retrial queue with two phases of service is analyzed. Customers may balk or renege at particular times. The server is subject to breakdown with repairs. When the server fails it is not repaired immediately. The system has to wait for the repair to start. While the server is in breakdown, the customer in service can remain in the service position or leave and return. Immediately after completing the service of a customer, the server searches for customers in the orbit or remains idle. In Chapter Four Bulk arrival and orbital search retrial queueing models with server vacations - Emergency and multiple vacation are analyzed.

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.

Retrial Queues

Author : G Falin
Publisher : CRC Press
ISBN 13 : 135141867X
Total Pages : 342 pages
Book Rating : 4.3/5 (514 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 2023-01-06 with total page 342 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.

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 Systems with Customer Abandonments and Retrials

Author : SONG DENG
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (957 download)

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Book Synopsis Queueing Systems with Customer Abandonments and Retrials by : SONG DENG

Download or read book Queueing Systems with Customer Abandonments and Retrials written by SONG DENG and published by . This book was released on 2013 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: In queueing theory, the phenomenon that customers get impatient and renege from the system when the waiting time exceeds their tolerance is called customer abandonments. For those abandoning customers, they may go back to the service system after some time. This is called customer retrials. In the modern design of service systems, the impact of customer abandonments and retrials on the system performance and queueing dynamics has been realized. In this thesis, we aim to characterize the stationary properties for queueing systems with both customer abandonments and retrials. We also apply some of those properties in a revenue management problem for queueing systems with customer abandonments. First, we study a multi-server queueing system with both customer abandonments and retrials. By using RTA (retrials see time average) approximation, we characterize the stationary properties of such a queueing system. We also justify the appropriateness of RTA approximation in this model both theoretically and numerically. Then, we extend the study to incorporate negative customers and unreliable servers. Two different models are considered. One is a multi-server retrial queueing system with both regular customers and negative customers. The other is a single-server retrial queue with negative customers and server interruptions. Closed-form expressions of some relevant performance measurements for both models are obtained. For the last, we apply some of our findings in queues with abandonments and retrials to a revenue management problem for a queueing system with customer abandonments. By using a mechanism design framework, we identify the optimal price-lead time manus and scheduling policies for different scenarios.

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.

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Author : Alexander Dudin
Publisher : Springer
ISBN 13 : 3319975951
Total Pages : 401 pages
Book Rating : 4.3/5 (199 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. This book was released on 2018-08-27 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 17th International Conference on Information Technologies and Mathematical Modelling, ITMM 2018, named after A.F. Terpugov, and the 12th Workshop on Retrial Queues and Related Topics, held in Tomsk, Russia, in September 2018. The 30 papers presented in this volume were carefully reviewed and selected from 84 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.

Retrial Queues

Author :
Publisher :
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Retrial Queues by :

Download or read book Retrial Queues written by and published by . This book was released on 1990 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Retrial Queueing System with Priority Services

Author : M G Subramanian Annaswamy
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783844308280
Total Pages : 416 pages
Book Rating : 4.3/5 (82 download)

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Book Synopsis Retrial Queueing System with Priority Services by : M G Subramanian Annaswamy

Download or read book Retrial Queueing System with Priority Services written by M G Subramanian Annaswamy and published by LAP Lambert Academic Publishing. This book was released on 2011-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to analyse the various behaviour of Retrial queueing system. To motivate, many examples have been quoted.In this book, concepts like priority services, vacation policies, unreliable server, second optional service, negative arrival, vacation interruption and variable service rates have been discussed and 24 models have been developed. System performance measures of these models have been dealt and numerical and graphical studies have been done in elaborate manner. This book will be highly useful to those who are working in the area of queueing theory, Stochastic models in Operation Research and communication Engineering.

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.

Algorithmic Methods in Retrial Queues

Author : Jesus R. Artalejo
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Algorithmic Methods in Retrial Queues by : Jesus R. Artalejo

Download or read book Algorithmic Methods in Retrial Queues written by Jesus R. Artalejo and published by . This book was released on 2006 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.