Traffic Theory

(German: Nachrichtenverkehrstheorie)


Lecturer: Dr.-Ing. Rico Radeke
Teaching Assistant: Dipl.-Ing. Paul Schwenteck
Teaching Assistant


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

Course could be held partially online due to current corona situation.

Lectures (L) and Exercises (E), without strict pattern:

Summer Semester 2023
Mondays 07:30-09:00 (weekly, 5th double hours, 14:40-16:20, BAR S4)
Thursday 13:00-14:30 (even weeks, 4th double hour, 13:00-14:30, BAR S4)

The semester starts with an even week!

Mon, 03.04.23BAR I86CL1: Introduction to Course, Course Overview, Learning Agreement, Examples
Thu, 06.04.23
L2: Probabilities, Discrete random distributions
Mon, 17.04.23BAR S4L3: Discrete and Continous random distributions
Thu, 20.04.23
BAR S4L4: Continous random distributions (2)
Mon, 24.04.23BAR S4L5: Moments and stochastic processes
Thu, 04.05.23BAR S4E1: Random distributions
Mon, 08.05.23BAR S4L6: Markov Chains with Discrete Time (1)
Mon, 15.05.23BAR S4L7: Markov Chains with Discrete Time (2)
Mon, 22.05.23BAR S4E2: Markov Chains with Discrete Time (1)
Mon, 05.06.23BAR S4E3: Markov Chains with Discrete Time (2)
Mon, 12.06.23BAR S4L7: Markov Chains with Continous Time
Thu, 15.06.23BAR S4L8: Equilibrium, local and global stability
Mon, 19.06.23BAR S4L9: Multi-dimensional Markov Chains
Mon, 26.06.23BAR S4E4: Markov Chains with Continous Time (1)
Thu, 29.06.23BAR S4L10: Theory of Markov Chains
Mon, 03.07.23BAR S4L11: Queues, Kendall, Little
Thu, 06.7.23BAR S4L12: Analytic Evaluation of Queueing Systems
Mon, 10.7.23BAR S4E5: Markov Chains with Continous Time (2)
Thu, 13.07.23BAR S4E6: Complex Excercises
Mon, 17.07.23 11:00BAR S4Consultation
21.07.2023 13:00BAR S4Exam

Module Number

ET-12 10 05
Module Description in Diplomprüfungsordnung


Material is uploaded to OPAL , so enrollment is needed for this.


written, 120min


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