Traffic Theory

(German: Nachrichtenverkehrstheorie)

 

Lecturer: Dr.-Ing. Rico Radeke
Teaching Assistant: Dipl.-Ing. Paul Schwenteck
Dr.-Ing. Rico Radeke
Dipl.-Ing. Paul Schwenteck
Lecturer
Teaching Assistant
rico.radeke@tu-dresden.de
paul.schwenteck@tu-dresden.de

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:

Summer Semester 2024
Tuesdays 13:00-14:30, weekly, BAR 213)
Thursday 13:00-14:30, even weeks, BAR 218)

The semester starts with an odd week (calendar week 15)!

DateRoomTopic
09.04.2024BAR 213L1: Introduction to Course, Course Overview, Learning Agreement, Examples
16.04.2024
BAR 213
E1: Python and JupyterHub
18.04.2024BAR 218L2: Probabilities, Discrete random distributions
23.04.2024BAR 213L3: Discrete and Continous random distributions
30.04.2024BAR 213
E2: Random Distributions
02.05.2024BAR 218L4: Continous random distributions
07.05.2024BAR 213L5: Markovian Chains with discrete time (1)
14.05.2024BAR 213
E3: Markovian Chains with discrete time (1)
16.05.2024BAR 218L6: Markovian Chains with discrete time (2)
21.05.2024---No lecture - Pentecoast Week
28.05.2024BAR 213
E4: Markovian Chains with discrete time (2)
30.05.2024BAR 218L7: Markovian Chains with continous time
04.06.2024BAR 213L8: Equilibrium
11.06.2024BAR 213
L9: Multi-dimensional Markovian Chains
13.06.2024BAR 218E5: Markovian Chains with continous time (19-23)
18.06.2024BAR 213L10: Theory of Markov Chains
25.06.2024BAR 213
L11: Queues, Kendall, Little
27.06.2024BAR 218E6: Markovian Chains with continous time (24-31)
02.07.2024BAR 213L12 - Analytic Evaluation of Queueing systems
09.07.2024BAR 213L13 - Functional transformations and the M_GI_1_inf system
11.07.2024BAR 213
***shifted to exam period*** -> Consultation
16.07.2024BAR 218E7 - Exam prep 1
7.8.24 - 11:10BAR S4Consultation, Exam prep 2
9.8.24 - 11:10BAR S4Exam (120min)

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.