Traffic Theory

(German: Nachrichtenverkehrstheorie)

Dr.-Ing. Rico Radeke Dipl.-Ing. Vincent Latzko
Lecturer: Dr.-Ing. Rico Radeke
Assistant: Dipl.-Ing. Vincent Latzko


This course offers the theoretical base and practical methods for modelling, analysis, and performance investigation of communication systems. The students will learn how to use known formulas for traffic theory problems. The abstraction from reality to model will be done for different practical applications and networks.

Topics covered are:
  • Introduction and Examples
  • Probabilities, Random Distributions, Moments, Properties of distributions
  • Random processes
  • System modelling using traffic theory, terminology, classification, performance measures
  • Little’s law, PASTA, BASTA
  • Theory of Marcov chains (discrete and continous time)t
  • Examples of communication systems to be analyzed with Markov chains
  • Outlook on further tools (matrix analysis, fluid-flow, software tools, Jackson networks, Gordon-Newell, BCMP, Mean value analysis, network calculus (deterministic, stochastic)

Course Schedule

Lectures (L) and Exercises (E), without strict pattern:
Thursday 13:00-14:30 (even weeks), TOE 317
Friday 11:10-12:40 (weekly), BAR 205

13.04.18BAR 205L1: Introduction to Course, Course Overview, Learning Agreement, Examples, Probabilities, Random Distributions
19.04.18TOE 317L2: Discrete random distributions
20.04.18BAR 205E1: Random distributions
27.04.18BAR 205L3: Continous random distributions
03.05.18TOE 317L4: Moments and stochastic processes
04.05.18BAR 205L5: Markovian chains with discrete time
11.05.18---no course
17.05.18TOE 317E2: Markovian chains with discrete time I
18.05.18BAR 205L6: Markovian chains with continous time
31.05.18TOE 317E3: Markovian chains with discrete time II
01.06.18BAR 205L7: Global and Local Stability, Equilibrium
08.06.18BAR 205L8: Kolmogorov Forward and Backward Equations
14.06.18TOE 317E4: Markovian chains with continous time
15.06.18BAR 205L9: Multi dimensional Markovian chains
22.06.18BAR 205L10: Theory of Markovian Chains
28.06.18TOE 317L11: Queues, Kendall, Little
29.06.18BAR 205L12: Analytic Evaluation of Queueing Systems
06.07.18BAR 205E5: Queueing Systems
12.07.18TOE 317L13: M/GI/1/inf
13.07.18BAR 205L14: Wrap Up
20.07.18BAR 205E6: exam examples I
t.b.d.t.b.d.E7: exam examples II / Consultation

Module Number

ET-12 10 05
Module Description in Diplomprüfungsordnung


Material is uploaded to OPAL.


written, 120min


Exercises will be on discussion base between students and teaching assistant to focus on unsolved problems.