Course Overview

The objective of this lecture is to introduce the art of perfomance-related modeling of complex distributed systems. We will use worst-case assumptions in order to obtain robust results.


Lecture: On Tuesdays at 10:00h–11:30h in 48/379, starting on Nov 4!



Exercises will be held on a biweekly basis

We offer two dates for the exercises:

Tuesdays 15:30h

Wednesdays 15:30h

The exercises are held in the DISCO-Seminar room (36-438)


The oral exam dates are 23.2.15, 27.3.15 and 7.5.15

Contact: Prof. Dr.-Ing. Jens Schmitt

Dipl.-Math. Michael Beck

Lecture Slides



Min-plus Algebra Primer (Part 1)  Min-plus Algebra Primer (Part 2)

Basic Network Calculus (Part 1)   Basic Network Calculus (Part 2)  Basic Network Calculus (Part 3)  Basic Network Calculus (Part 4)[slightly updated]

Advanced Network Calculus (Part 1)  Advanced Network Calculus (Part 2) [slightly corrected, 20.1.15]  Advanced Network Calculus (Part 3)  Advanced Network Calculus (Part 4)

Network Calculus Tool Support

All lecture slides slides as ppt

Exercise Sheets

We strongly recommend you to work on the exercises, since they are crucial to get a good grasp on math-heavy lectures.

We recommend to go to the exercises fully prepared, meaning: you should be able to present your solutions to the other students on the blackboard.

SheetSession DateLinks
Sheet 1
November 25th / 26th
Sheet 1 (pdf)
Sheet 2 December 9th / 10th Sheet 2 (pdf)
Sheet 3 January 20th / 21st Sheet 3 (pdf)
Sheet 4 February 4th Sheet 4 (pdf)


  • Jean-Yves Le Boudec, Patrick Thiran. Network Calculus. Springer, 2001. (Also →available online)

University of Kaiserslautern

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