Teletraffic Theory

The Teletraffic Theory is a branch of applied mathematics and particularly of applied probability theory. In literature, you will meet it with various names, such as congestion theory, the theory of stochastic service systems, queuing theory, and theory of mass service. Also, objects of the Teletraffic Theory are considered by the science of Operations Research. The term Teletraffic Theory is used for the theories (analytical models) of the traffic of communications systems, starting with telephone systems and extends to Internet systems, wireless networks or next generation networks.

Objectives

After having attended this course, the student will become familiar not only with the fundamental relations of traffic load, but also with the statistical nature of traffic load, so he/she can choose the appropriate mathematical model to determine the offered traffic load, the grade of service, or the capacity of a telecommunication link. Also, the student will be able to evaluate and compare the performance of basic service systems, and finally presents simulation results, correctly, in a rigorous mathematical way. Moreover, the student will be able to design a communication link, or a network consisting of a sequence of links, while satisfying basic call-level QoS criteria.

Prerequisites

Probability and Statistics (course 22Y306 of the 2nd year).

Syllabus

Introduction - The objectives of Teletraffic Engineering - The Nature of Teletraffic. Features of Teletraffic Systems. Modelling of Teletraffic Systems. Markov Property. Little’s Theorem. Traffic from Terminals and Aggregated Traffic. Markovian Loss Systems. Markovian Delay Systems. Birth-Death Process. Open & Close Queueing Networks. Mean Value Analysis. Multi-Dimensional Traffic Models - Trunk Reservation System. Restricted availability. Overflow System - Equivalent Random Theory. Design of Alternative Routing. Traffic Simulation. Computer Implementation of Basic Teletraffic Formulas.