An Introduction to Queueing Theory: and Matrix-Analytic Methods
The present textbook contains the records of a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours of lectures and two hours of exercises per week and has been taught at the University of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and first year graduate 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 shastic 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 justification 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.
1117340290
An Introduction to Queueing Theory: and Matrix-Analytic Methods
The present textbook contains the records of a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours of lectures and two hours of exercises per week and has been taught at the University of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and first year graduate 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 shastic 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 justification 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.
54.99 In Stock
An Introduction to Queueing Theory: and Matrix-Analytic Methods

An Introduction to Queueing Theory: and Matrix-Analytic Methods

An Introduction to Queueing Theory: and Matrix-Analytic Methods

An Introduction to Queueing Theory: and Matrix-Analytic Methods

Paperback(Softcover reprint of hardcover 1st ed. 2005)

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Overview

The present textbook contains the records of a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours of lectures and two hours of exercises per week and has been taught at the University of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and first year graduate 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 shastic 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 justification 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.

Product Details

ISBN-13: 9789048169139
Publisher: Springer Netherlands
Publication date: 12/01/2010
Edition description: Softcover reprint of hardcover 1st ed. 2005
Pages: 272
Product dimensions: 6.30(w) x 9.45(h) x 0.02(d)

Table of Contents

Queues: The Art of Modelling.- Markov Chains and Queues in Discrete Time.- Homogeneous Markov Processes on Discrete State Spaces.- Markovian Queues in Continuous Time.- Markovian Queueing Networks.- Renewal Theory.- Markov Renewal Theory.- Semi-Markovian Queues.- Phase-Type Distributions.- Markovian Arrival Processes.- The GI/PH/1 Queue.- The BMAP/G/1 Queue.- Discrete Time Approaches.- Spatial Markovian Arrival Processes.
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