Traffic Theory
Main Lecturer:
Postdoctoral Researcher, Lecturer, Project Manager
Dr.-Ing. Rico Radeke
rico.radeke@tu-dresden.de +49 351 463-39245Teaching Assistant
Overview
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!
| Date | Room | Topic |
|---|---|---|
| Mon, 03.04.23 | BAR I86C | L1: Introduction to Course, Course Overview, Learning Agreement, Examples |
| Thu, 06.04.23 | BAR S4 | L2: Probabilities, Discrete random distributions |
| Mon, 17.04.23 | BAR S4 | L3: Discrete and Continous random distributions |
| Thu, 20.04.23 | BAR S4 | L4: Continous random distributions (2) |
| Mon, 24.04.23 | BAR S4 | L5: Moments and stochastic processes |
| Thu, 04.05.23 | BAR S4 | E1: Random distributions |
| Mon, 08.05.23 | BAR S4 | L6: Markov Chains with Discrete Time (1) |
| Mon, 15.05.23 | BAR S4 | L7: Markov Chains with Discrete Time (2) |
| Mon, 22.05.23 | BAR S4 | E2: Markov Chains with Discrete Time (1) |
| Pfingstwoche | ||
| Mon, 05.06.23 | BAR S4 | E3: Markov Chains with Discrete Time (2) |
| Mon, 12.06.23 | BAR S4 | L7: Markov Chains with Continous Time |
| Thu, 15.06.23 | BAR S4 | L8: Equilibrium, local and global stability |
| Mon, 19.06.23 | BAR S4 | L9: Multi-dimensional Markov Chains |
| Mon, 26.06.23 | BAR S4 | E4: Markov Chains with Continous Time (1) |
| Thu, 29.06.23 | BAR S4 | L10: Theory of Markov Chains |
| Mon, 03.07.23 | BAR S4 | L11: Queues, Kendall, Little |
| Thu, 06.7.23 | BAR S4 | L12: Analytic Evaluation of Queueing Systems |
| Mon, 10.7.23 | BAR S4 | E5: Markov Chains with Continous Time (2) |
| Thu, 13.07.23 | BAR S4 | E6: Complex Excercises |
| Mon, 17.07.23 11:00 | BAR S4 | Consultation |
| 21.07.2023 13:00 | BAR S4 | Exam |
Module Number
ET-12 10 05
Module Description in Diplomprüfungsordnung
Material
Material is uploaded to OPAL , so enrollment is needed for this.
Exam
written, 120min
Exercises
Exercises will be on discussion base between students and teaching assistant to focus on unsolved problems.