Introduction to Congestion Theory in Telephone Systems

This book is a completely revised edition of a classical work, and its aim is to present the study of stochastic processes describing the passage of telephone traffic through a switching system, and to introduce to telephone engineers the recent mathematical developments in the general Congestion Theory applicable to telephone traffic. The book forms a survey of selected theories and methods, which have been chosen in such a way as to give it a uniform logical structure based on the fundamental principles of the Theory of Stochastic Processes. This is essentially a text for engineers, and the mathematical rigour is often sacrificed for the benefit of simplicity and clarity. The result is a simplified but sufficiently general account of the most important theoretical results of Congestion Theory, and a presentation of Queueing Theory in its early development. Finally, a completely new chapter (Chapter 11) covers the author's work on Markovian Queues, indicating connections with probabilistic Potential Theory.
 
This book is a completely revised edition of a classical work, and its aim is to present the study of stochastic processes describing the passage of telephone traffic through a switching system, and to introduce to telephone engineers the recent mathematical developments in the general Congestion Theory applicable to telephone traffic. The book forms a survey of selected theories and methods, which have been chosen in such a way as to give it a uniform logical structure based on the fundamental principles of the Theory of Stochastic Processes. This is essentially a text for engineers, and the mathematical rigour is often sacrificed for the benefit of simplicity and clarity. The result is a simplified but sufficiently general account of the most important theoretical results of Congestion Theory, and a presentation of Queueing Theory in its early development. Finally, a completely new chapter (Chapter 11) covers the author's work on Markovian Queues, indicating connections with probabilistic Potential Theory.