Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences
Queueing theory is a fascinating subject in Applied Probability for two con­ tradictory reasons: it sometimes requires the most sophisticated tools of shastic processes, and it often leads to simple and explicit answers. More­ over its interest has been steadily growing since the pioneering work of Erlang in 1917 on the blocking of telephone calls, to the more recent applications on the design of broadband communication networks and on the performance evaluation of computer architectures. All this led to a huge literature, articles and books, at various levels of mathematical rigor. Concerning the mathematical approach, most of the explicit results have been obtained when specific assumptions (Markov, re­ newal) are made. The aim of the present book is in no way to give a systematic account of the formulas of queueing theory and their applications, but rather to give a general framework in which these results are best understood and most easily derived. What knowledge of this vast literature is needed to read the book? As the title of the book suggests, we believe that it can be read without prior knowledge of queueing theory at all, although the unifying nature of the proposed framework will of course be more meaningful to readers who already studied the classical Markovian approach.
1139944173
Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences
Queueing theory is a fascinating subject in Applied Probability for two con­ tradictory reasons: it sometimes requires the most sophisticated tools of shastic processes, and it often leads to simple and explicit answers. More­ over its interest has been steadily growing since the pioneering work of Erlang in 1917 on the blocking of telephone calls, to the more recent applications on the design of broadband communication networks and on the performance evaluation of computer architectures. All this led to a huge literature, articles and books, at various levels of mathematical rigor. Concerning the mathematical approach, most of the explicit results have been obtained when specific assumptions (Markov, re­ newal) are made. The aim of the present book is in no way to give a systematic account of the formulas of queueing theory and their applications, but rather to give a general framework in which these results are best understood and most easily derived. What knowledge of this vast literature is needed to read the book? As the title of the book suggests, we believe that it can be read without prior knowledge of queueing theory at all, although the unifying nature of the proposed framework will of course be more meaningful to readers who already studied the classical Markovian approach.
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Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences

Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences

Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences

Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences

Paperback(Second Edition 2003)

$109.99 
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Overview

Queueing theory is a fascinating subject in Applied Probability for two con­ tradictory reasons: it sometimes requires the most sophisticated tools of shastic processes, and it often leads to simple and explicit answers. More­ over its interest has been steadily growing since the pioneering work of Erlang in 1917 on the blocking of telephone calls, to the more recent applications on the design of broadband communication networks and on the performance evaluation of computer architectures. All this led to a huge literature, articles and books, at various levels of mathematical rigor. Concerning the mathematical approach, most of the explicit results have been obtained when specific assumptions (Markov, re­ newal) are made. The aim of the present book is in no way to give a systematic account of the formulas of queueing theory and their applications, but rather to give a general framework in which these results are best understood and most easily derived. What knowledge of this vast literature is needed to read the book? As the title of the book suggests, we believe that it can be read without prior knowledge of queueing theory at all, although the unifying nature of the proposed framework will of course be more meaningful to readers who already studied the classical Markovian approach.

Product Details

ISBN-13: 9783642085376
Publisher: Springer Berlin Heidelberg
Publication date: 12/08/2010
Series: Stochastic Modelling and Applied Probability , #26
Edition description: Second Edition 2003
Pages: 334
Product dimensions: 6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

The Palm Calculus of Point Processes.- Stationarity and Coupling.- Formulas.- Shastic Ordering of Queues.
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