Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences / Edition 2

Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences / Edition 2

by Francois Baccelli, Pierre Bremaud
     
 

View All Available Formats & Editions

ISBN-10: 3642085377

ISBN-13: 9783642085376

Pub. Date: 12/01/2010

Publisher: Springer Berlin Heidelberg

The Palm theory and the Loynes theory of stationary systems are the two pillars of the modern approach to queuing. This book, presenting the mathematical foundations of the theory of stationary queuing systems, contains a thorough treatment of both of these.

This approach helps to clarify the picture, in that it separates the task of obtaining the key system

Overview

The Palm theory and the Loynes theory of stationary systems are the two pillars of the modern approach to queuing. This book, presenting the mathematical foundations of the theory of stationary queuing systems, contains a thorough treatment of both of these.

This approach helps to clarify the picture, in that it separates the task of obtaining the key system formulas from that of proving convergence to a stationary state and computing its law.

The theory is constantly illustrated by classical results and models: Pollaczek-Khintchin and Tacacs formulas, Jackson and Gordon-Newell networks, multiserver queues, blocking queues, loss systems etc., but it also contains recent and significant examples, where the tools developed turn out to be indispensable.

Several other mathematical tools which are useful within this approach are also presented, such as the martingale calculus for point processes, or shastic ordering for stationary recurrences.

This thoroughly revised second edition contains substantial additions - in particular, exercises and their solutions - rendering this now classic reference suitable for use as a textbook.

Product Details

ISBN-13:
9783642085376
Publisher:
Springer Berlin Heidelberg
Publication date:
12/01/2010
Series:
Stochastic Modelling and Applied Probability Series, #26
Edition description:
Softcover reprint of hardcover 2nd ed. 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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >