Approximations In Multi Server Poisson Queues

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Approximations in Multi-server Poisson Queues

Author : Shirley A. Nozaki
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Approximations in Multi-server Poisson Queues by : Shirley A. Nozaki

Download or read book Approximations in Multi-server Poisson Queues written by Shirley A. Nozaki and published by . This book was released on 1976 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our major objective is to obtain an approximation for the average time spent waiting in queue by a customer in an M/G/k queueing system--call it W sub Q. This is done by means of an approximation assumption presented, which is shown to be asymptotically valid both in heavy and in light traffic. The approximation assumption is used to derive an approximation for W sub Q. Numerical comparison with tables given by Hillier-Lo in the special case of Erlang service times indicate that the approximation, which depends on the service distribution only through its first two moments, works remarkably well. In addition, as a by-product of our analysis, we also obtain approximations for the distribution of the number of busy servers and the mean length and number of customers in a busy period. These latter approximations depend on the service distribution only through its mean. The approximation assumption is valid and leads to the exact result in the case of a limited capacity system where no queue is allowed to form.

Approximations in Finite Capacity Multi-Server Queues with Poisson Arrivals

Author : Shirley A. Nozaki
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Approximations in Finite Capacity Multi-Server Queues with Poisson Arrivals by : Shirley A. Nozaki

Download or read book Approximations in Finite Capacity Multi-Server Queues with Poisson Arrivals written by Shirley A. Nozaki and published by . This book was released on 1977 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers an M/G/K queueing model having finite capacity N. That is, a model in which customers, arriving in accordance with a Poisson process having rate lambda, enter the system if there are less than N others present when they arrive, and are then serviced by one of k servers, each of whom has service distribution G. Upon entering, a customer will either immediately enter service if at least one server is free or else join the queue if all servers are busy. Our results will be independent of the order of service of those waiting in queue as long as it is supposed that a server will never remain idle if customers are waiting. To facilitate the analysis, however, assume a service discipline of first come first to enter service.

A First Course in Stochastic Models

Author : Henk C. Tijms
Publisher : John Wiley and Sons
ISBN 13 : 0470864281
Total Pages : 448 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis A First Course in Stochastic Models by : Henk C. Tijms

Download or read book A First Course in Stochastic Models written by Henk C. Tijms and published by John Wiley and Sons. This book was released on 2003-07-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of applied probability has changed profoundly in the past twenty years. The development of computational methods has greatly contributed to a better understanding of the theory. A First Course in Stochastic Models provides a self-contained introduction to the theory and applications of stochastic models. Emphasis is placed on establishing the theoretical foundations of the subject, thereby providing a framework in which the applications can be understood. Without this solid basis in theory no applications can be solved. Provides an introduction to the use of stochastic models through an integrated presentation of theory, algorithms and applications. Incorporates recent developments in computational probability. Includes a wide range of examples that illustrate the models and make the methods of solution clear. Features an abundance of motivating exercises that help the student learn how to apply the theory. Accessible to anyone with a basic knowledge of probability. A First Course in Stochastic Models is suitable for senior undergraduate and graduate students from computer science, engineering, statistics, operations resear ch, and any other discipline where stochastic modelling takes place. It stands out amongst other textbooks on the subject because of its integrated presentation of theory, algorithms and applications.

Naval Research Logistics Quarterly

Author :
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Naval Research Logistics Quarterly by :

Download or read book Naval Research Logistics Quarterly written by and published by . This book was released on 1984 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1006 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1977 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Queuing Models in Industry and Business

Author : Aliakbar Montazer Haghighi
Publisher : Nova Publishers
ISBN 13 : 9781604561890
Total Pages : 406 pages
Book Rating : 4.5/5 (618 download)

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Book Synopsis Queuing Models in Industry and Business by : Aliakbar Montazer Haghighi

Download or read book Queuing Models in Industry and Business written by Aliakbar Montazer Haghighi and published by Nova Publishers. This book was released on 2008 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies on queueing models and their publication in professional journals and textbooks have been sparse over the past eleven decades. Collections of some of these studies have appeared either as single volumes or just chapters of single volumes and/or monographs. This book is an attempt to present some queuing models, especially those applicable in business and industry, in a style between a monograph and a textbook. Also the need of researchers and practitioners for a handbook-type text and the current lack of it explain the need for a book of this kind. Most of the basic terminologies and concepts that appear throughout the text are introduced in a systematic way in the first two chapters; nevertheless, previous exposition to a first course in probability and statistics is advised for later chapters.

Information Technologies and Mathematical Modelling: Queueing Theory and Applications

Author : Alexander Dudin
Publisher : Springer
ISBN 13 : 3319446150
Total Pages : 407 pages
Book Rating : 4.3/5 (194 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 2016-08-27 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Scientific Conference on Information Technologies and Mathematical Modeling, named after A. F. Terpugov, ITMM 2016, held in Katun, Russia, in September 2016. The 33 full papers presented together with 4 short papers were carefully reviewed and selected from 96 submissions. They are devoted to new results in the queueing theory and its applications, addressing specialists in probability theory, random processes, mathematical modeling as well as engineers dealing with logical and technical design and operational management of telecommunication and computer networks.

Discrete Time Analysis of Multi-Server Queueing Systems in Material Handling and Service

Author : Judith M. Matzka
Publisher : KIT Scientific Publishing
ISBN 13 : 3866446888
Total Pages : 106 pages
Book Rating : 4.8/5 (664 download)

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Book Synopsis Discrete Time Analysis of Multi-Server Queueing Systems in Material Handling and Service by : Judith M. Matzka

Download or read book Discrete Time Analysis of Multi-Server Queueing Systems in Material Handling and Service written by Judith M. Matzka and published by KIT Scientific Publishing. This book was released on 2014-08-22 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this doctoral thesis, performance parameters of multi-server queueing systems are estimated under general stochastic assumptions. We present an exact calculation method for the discrete time distribution of the number of customers in the queueing system at the arrival moment of an arbitrary customer. The waiting time distribution and the sojourn time distribution are estimated exactly, as well. For the calculation of the inter departure time distribution, we present an approximation method.

Stochastic Models in Operations Research

Author : Daniel P. Heyman
Publisher : Courier Corporation
ISBN 13 : 9780486432595
Total Pages : 564 pages
Book Rating : 4.4/5 (325 download)

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Book Synopsis Stochastic Models in Operations Research by : Daniel P. Heyman

Download or read book Stochastic Models in Operations Research written by Daniel P. Heyman and published by Courier Corporation. This book was released on 2004-01-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of a 2-volume set explores the central facts and ideas of stochastic processes, illustrating their use in models based on applied and theoretical investigations. Explores stochastic processes, operating characteristics of stochastic systems, and stochastic optimization. Comprehensive in its scope, this graduate-level text emphasizes the practical importance, intellectual stimulation, and mathematical elegance of stochastic models.

Mathematical Principles of the Internet, Two Volume Set

Author : Nirdosh Bhatnagar
Publisher : CRC Press
ISBN 13 : 1351379216
Total Pages : 1768 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Mathematical Principles of the Internet, Two Volume Set by : Nirdosh Bhatnagar

Download or read book Mathematical Principles of the Internet, Two Volume Set written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2019-03-18 with total page 1768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Advances in Queueing Theory, Methods, and Open Problems

Author : Jewgeni H. Dshalalow
Publisher : CRC Press
ISBN 13 : 1000949931
Total Pages : 530 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Advances in Queueing Theory, Methods, and Open Problems by : Jewgeni H. Dshalalow

Download or read book Advances in Queueing Theory, Methods, and Open Problems written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 2023-07-21 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods in Queueing Theory

Author : A. B. Clarke
Publisher : Springer Science & Business Media
ISBN 13 : 3642808387
Total Pages : 371 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematical Methods in Queueing Theory by : A. B. Clarke

Download or read book Mathematical Methods in Queueing Theory written by A. B. Clarke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Analysis of Queues

Author : Natarajan Gautam
Publisher : CRC Press
ISBN 13 : 1439806586
Total Pages : 804 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Analysis of Queues by : Natarajan Gautam

Download or read book Analysis of Queues written by Natarajan Gautam and published by CRC Press. This book was released on 2012-04-26 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples. In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.

Network Traffic Engineering

Author : Andrea Baiocchi
Publisher : John Wiley & Sons
ISBN 13 : 111963251X
Total Pages : 816 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Network Traffic Engineering by : Andrea Baiocchi

Download or read book Network Traffic Engineering written by Andrea Baiocchi and published by John Wiley & Sons. This book was released on 2020-07-24 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the concepts and applications of queuing theory and traffic theory Network Traffic Engineering: Models and Applications provides an advanced level queuing theory guide for students with a strong mathematical background who are interested in analytic modeling and performance assessment of communication networks. The text begins with the basics of queueing theory before moving on to more advanced levels. The topics covered in the book are derived from the most cutting-edge research, project development, teaching activity, and discussions on the subject. They include applications of queuing and traffic theory in: LTE networks Wi-Fi networks Ad-hoc networks Automated vehicles Congestion control on the Internet The distinguished author seeks to show how insight into practical and real-world problems can be gained by means of quantitative modeling. Perfect for graduate students of computer engineering, computer science, telecommunication engineering, and electrical engineering, Network Traffic Engineering offers a supremely practical approach to a rapidly developing field of study and industry.

Fundamentals of Queueing Theory

Author : John F. Shortle
Publisher : John Wiley & Sons
ISBN 13 : 1118943562
Total Pages : 566 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 2018-03-29 with total page 566 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.

Logistics of Production and Inventory

Author : S.C. Graves
Publisher : Elsevier
ISBN 13 : 9780444874726
Total Pages : 780 pages
Book Rating : 4.8/5 (747 download)

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Book Synopsis Logistics of Production and Inventory by : S.C. Graves

Download or read book Logistics of Production and Inventory written by S.C. Graves and published by Elsevier. This book was released on 1993-05-27 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook

ATM Technology for Broadband Telecommunications Networks

Author : Ercan Sen
Publisher : Routledge
ISBN 13 : 1351465260
Total Pages : 299 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis ATM Technology for Broadband Telecommunications Networks by : Ercan Sen

Download or read book ATM Technology for Broadband Telecommunications Networks written by Ercan Sen and published by Routledge. This book was released on 2018-05-04 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents all the latest information on all aspects of each important component of ATM - the hottest telecommunications technology of this decade. It demonstrates how ATM internetworks several incompatible telecommunications technologies and provide the high-speed, high bandwidth backbone network that the entire telecom industry is converging toward.