Traffic Theory

(German: Nachrichtenverkehrstheorie)

Lecturer: Dr.-Ing. Rico Radeke
Lecturer:
Dr.-Ing. Rico Radeke


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 @ BBB room (link to be published in matrix-chat)
Friday 11:10-12:40 (weekly), online @ BBB room (link to be published in matrix-chat)

DateRoomTopic
16.04.2021BigBlueButton (BBB), link is shared in MatrixChatL1: Introduction to Course, Course Overview, Learning Agreement, Examples, Probabilities, Random Distributions
22.04.2021BBBL2: Discrete random distributions
23.04.2021BBBL3: Continous random distributions
30.04.2021BBBL4: Moments and stochastic processes
06.05.2021BBBE1: Random distributions
07.05.2021BBBL5: Markovian chains with discrete time
14.05.2021BBBL6: Markovian chains with discrete time - part 2
20.05.2021BBBE2: Markovian chains with discrete time I
21.05.2021BBBL7: Markovian chains with continous time
03.06.2021BBBE3: Markovian chains with discrete time II
04.06.2021Prerecorded OPAL/MaterialL8: Global and Local Stability, Equilibrium, Kolmogorov Forward and Backward Equations
11.06.2021BBBL9: Multi dimensional Markovian chains
17.06.2021BBBL10: Theory of Markovian Chains
18.06.2021BBBL11: Queues, Kendall, Little
25.06.2021BBBE4: Markovian chains with continous time
01.07.2021BBBE5: Markovian chains with continous time II
02.07.2021BBBL12: Analytic Evaluation of Queueing Systems
09.07.2021BBBL13: Functional Transformations and M/GI/1/inf
15.07.2021BBBE6: Exam examples
16.07.2021BBBL14/E7: WrapUp, Outlook and further examples
individual on requestBBB or BARConsultation
23.07.2021 16:00BAR S/04 and BAR I/15Exam

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.