Traffic Theory

(German: Nachrichtenverkehrstheorie)

Lecturer: Dr.-Ing. Rico Radeke
Lecturer:
Dr.-Ing. Rico Radeke
Assistant: Dipl.-Ing. Frank Gabriel
Teaching Assistant:
Dipl.-Ing. Frank Gabriel


Course will be held partially online due to current corona situation.
PLEASE TAKE CARE TO ENROLL VIA OPAL and Matrix-Chat TO RECEIVE ALL THE NEWS.
The seminar will start online on April 16th !!!
More information can be found in TUD Aktuelle Hinweise COVID-19

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

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

DateRoomTopic
16.04.2020Online (e.g. OPAL, Download, VideoConf, VoiceChat)L1: Introduction to Course, Course Overview, Learning Agreement, Examples, Probabilities, Random Distributions
17.04.2020Online (e.g. OPAL, Download, VideoConf, VoiceChat)L2: Discrete random distributions
24.04.2020Online (e.g. OPAL, Download, VideoConf, VoiceChat)L3: Continous random distributions
30.04.2020Online (e.g. OPAL, Download, VideoConf, VoiceChat)L4: Moments and stochastic processes
08.05.2020Online (e.g. OPAL, Download, VideoConf, VoiceChat)L5: Markovian chains with discrete time
14.05.2020t.b.d.E1: Random distributions
15.05.2020t.b.d.L6: Markovian chains with continous time
22.05.2020t.b.d.L7: Global and Local Stability, Equilibrium
28.05.2020t.b.d.E2: Markovian chains with discrete time I
29.05.2020t.b.d.L8: Kolmogorov Forward and Backward Equations
05.06.2020t.b.d.L9: Multi dimensional Markovian chains
11.06.2020t.b.d.E3: Markovian chains with discrete time II
12.06.2020t.b.d.L10: Theory of Markovian Chains
19.06.2020t.b.d.L11: Queues, Kendall, Little
25.06.2020t.b.d.E4: Markovian chains with continous time
26.06.2020t.b.d.L12: Analytic Evaluation of Queueing Systems
03.07.2020t.b.d.L13: M/GI/1/inf
09.07.2020t.b.d.E5: Markovian chains with continous time II / Queuing systems
10.07.2020t.b.d.E6: Exam examples
17.07.2020t.b.d.L14&E7: Wrap Up / Exam examples / Consultation
July/August 2020t.b.d.Exam

Module Number

ET-12 10 05
Module Description in Diplomprüfungsordnung

Material

Material is uploaded to OPAL.

Exam

written, 120min

Exercises

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