Elements of Queueing Theory

Palm Martingale Calculus and Stochastic Recurrences
2. Auflage Softcover version of original hardcover Auflage 2003
ISBN: 978-3-642-08537-6
Verlag: Springer

Buch, Englisch, Band 26, 334 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 535 g

Reihe: Stochastic Modelling and Applied Probability

Queueing theory is a fascinating subject in Applied Probability for two con­ tradictory reasons: it sometimes requires the most sophisticated tools of stochastic 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.

Zielgruppe

Research

Autoren/Hrsg.

Bremaud, Pierre

Baccelli, Francois

Fachgebiete

• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Stochastik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik

Inhaltsverzeichnis

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