An Introduction To Queueing Theory

Author: U. Narayan Bhat
Publisher: Springer Science & Business Media
ISBN: 0817647252
Size: 71.34 MB
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This introductory textbook is designed for a one-semester course on queueing theory that does not require a course in stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, this book provides a foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students. Containing exercises and examples, this volume may be used as a textbook by first-year graduate and upper-level undergraduate students. The work may also be useful as a self-study reference for applications and further research.

An Introduction To Queueing Theory

Author: L. Breuer
Publisher: Springer Science & Business Media
ISBN: 1402036310
Size: 76.95 MB
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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.

An Introduction To Queueing Systems

Author: Sanjay K. Bose
Publisher: Springer Science & Business Media
ISBN: 146150001X
Size: 53.65 MB
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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.

An Introduction To Queueing Theory

Author: Brian D. Bunday
Publisher: Hodder Arnold
ISBN: 9780470236130
Size: 24.21 MB
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This book provides the reader with the enhanced lecture material taken from a highly successful course in queueing theory that has been given, over the years, to students studying operational research. It is assumed that the reader has a good background in basic algebra, calculus and probability and from this foundation, mathematical models for a wide variety of interesting and realistic queueing systems are built. The models are carefully developed and illustrated with examples to show their application and potential. Readers are encouraged to test their own skills and proficiency through a number of exercises to which complete solutions are provided. Also covered, with worked examples, are birth-death models which can be used in a number of different areas. Models solved by using Markov Chains are discussed and similarly illustrated. Transient solutions, along with the important topics of queueing networks and simulation, with computer solutions for the latter, feature in the second half of the book. Finally, a recent development, the transient solution of an M/M/1 queue is given in a simple form easily understood by students.

Introduction To Queueing Systems With Telecommunication Applications

Author: Laszlo Lakatos
Publisher: Springer Science & Business Media
ISBN: 1461453178
Size: 27.43 MB
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The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, ATM switches, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.

Basic Queueing Theory

Author: Brian D. Bunday
Publisher: Hodder Arnold
ISBN: 9780713135701
Size: 54.47 MB
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