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Author | : Nick T. Thomopoulos |
Publisher | : Springer Science & Business Media |
Total Pages | : 187 |
Release | : 2012-03-27 |
Genre | : Business & Economics |
ISBN | : 146143713X |
Download Fundamentals of Queuing Systems Book in PDF, ePub and Kindle
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.
Author | : Sanjay K. Bose |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2013-12-01 |
Genre | : Computers |
ISBN | : 146150001X |
Download An Introduction to Queueing Systems Book in PDF, ePub and Kindle
Queueing is an aspect of modern life that we encounter at every step in our daily activities. Whether it happens at the checkout counter in the supermarket or in accessing the Internet, the basic phenomenon of queueing arises whenever a shared facility needs to be accessed for service by a ]arge number of jobs or customers. The study of queueing is important as it gravides both a theoretical background to the kind of service that we may expect from such a facility and the way in which the facility itself may be designed to provide some specified grade of service to its customers. Our study of queueing was basically motivated by its use in the study of communication systems and computer networks. The various computers, routers and switches in such a network may be modelled as individual queues. The whole system may itself be modelled as a queueing network providing the required service to the messages, packets or cells that need to be carried. Application of queueing theory provides the theoretical framework for the design and study of such networks. The purpose of this book is to support a course on queueing systems at the senior undergraduate or graduate Ievels. Such a course would then provide the theoretical background on which a subsequent course on the performance modeHing and analysis of computer networks may be based.
Author | : J.A. White |
Publisher | : Elsevier |
Total Pages | : 543 |
Release | : 2012-12-02 |
Genre | : Mathematics |
ISBN | : 0323146600 |
Download Analysis of Queueing Systems Book in PDF, ePub and Kindle
Analysis and Queueing Systems is a nine-chapter introductory text that considers the applied problem of analyzing queueing systems. This book outlines a sequence of steps, which if properly executed yield an improved design of the system. This book deals first with the development of the necessary background in probability theory and transforms methods. These topics are followed by a presentation of queueing models and how these simple models can be applied in more complex situations. The subsequent chapters survey the development of prescriptive models of queueing systems; the principles of transient analysis; and the modeling techniques for use in analyzing more complex queueing systems. The discussion then shifts to the design of data collection systems and the analysis of data. The last chapter focuses on the development of simulation models.
Author | : J. R. Artalejo |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2008-05-07 |
Genre | : Mathematics |
ISBN | : 3540787259 |
Download Retrial Queueing Systems Book in PDF, ePub and Kindle
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.
Author | : Shaler Stidham Jr. |
Publisher | : CRC Press |
Total Pages | : 385 |
Release | : 2009-03-27 |
Genre | : Business & Economics |
ISBN | : 142001000X |
Download Optimal Design of Queueing Systems Book in PDF, ePub and Kindle
The First Comprehensive Book on the SubjectFocusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially opt
Author | : Muhammad El-Taha |
Publisher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 1461557216 |
Download Sample-Path Analysis of Queueing Systems Book in PDF, ePub and Kindle
Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. These results are utilized to establish useful performance measures. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Recent topics such as pathwise stability are also covered in this context. The book consistently takes the point of view of focusing on one sample path of a stochastic process. Hence, it is devoted to providing pure sample-path arguments. With this approach it is possible to separate the issue of the validity of a relationship from issues of existence of limits and/or construction of stationary framework. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes. The authors feel that sample-path analysis can be best used to provide general results that are independent of stochastic assumptions, complemented by use of probabilistic arguments to carry out a more detailed analysis. This book focuses on the first part of the picture. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.
Author | : Linn I. Sennott |
Publisher | : John Wiley & Sons |
Total Pages | : 360 |
Release | : 1998-09-30 |
Genre | : Mathematics |
ISBN | : 9780471161202 |
Download Stochastic Dynamic Programming and the Control of Queueing Systems Book in PDF, ePub and Kindle
Eine Zusammenstellung der Grundlagen der stochastischen dynamischen Programmierung (auch als Markov-Entscheidungsprozeß oder Markov-Ketten bekannt), deren Schwerpunkt auf der Anwendung der Queueing-Theorie liegt. Theoretische und programmtechnische Aspekte werden sinnvoll verknüpft; insgesamt neun numerische Programme zur Queueing-Steuerung werden im Text ausführlich diskutiert. Ergänzendes Material kann vom zugehörigen ftp-Server abgerufen werden. (12/98)
Author | : Mor Harchol-Balter |
Publisher | : Cambridge University Press |
Total Pages | : 573 |
Release | : 2013-02-18 |
Genre | : Computers |
ISBN | : 1107027500 |
Download Performance Modeling and Design of Computer Systems Book in PDF, ePub and Kindle
Written with computer scientists and engineers in mind, this book brings queueing theory decisively back to computer science.
Author | : Refael Hassin |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2003 |
Genre | : Business & Economics |
ISBN | : 9781402072031 |
Download To Queue or Not to Queue Book in PDF, ePub and Kindle
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.
Author | : Wah Chun Chan |
Publisher | : World Scientific |
Total Pages | : 116 |
Release | : 2014-05-29 |
Genre | : Technology & Engineering |
ISBN | : 9814612022 |
Download An Elementary Introduction To Queueing Systems Book in PDF, ePub and Kindle
The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems.Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory.