Discrete Event Systems (HS 2015)
Over the past few decades the rapid evolution of computing, communication, and information technologies has brought about the proliferation of new dynamic systems. A significant part of activity in these systems is governed by operational rules designed by humans. The dynamics of these systems are characterized by asynchronous occurrences of discrete events, some controlled (e.g. hitting a keyboard key, sending a message), some not (e.g. spontaneous failure, packet loss).
The mathematical arsenal centered around differential equations that has been employed in systems engineering to model and study processes governed by the laws of nature is often inadequate or inappropriate for discrete event systems. The challenge is to develop new modeling frameworks, analysis techniques, design tools, testing methods, and optimization processes for this new generation of systems.
In this lecture we give an introduction to discrete event systems. We start out the course by studying popular models of discrete event systems, such as automata and Petri nets. In the second part of the course we analyze discrete event systems. We first examine discrete event systems from an average-case perspective: we model discrete events as stochastic processes, and then apply Markov chains and queueing theory for an understanding of the typical behavior of a system. In the last part of the course we analyze discrete event systems from a worst-case perspective using the theory of online algorithms and adversarial queueing.
Course language: English and German
Lecture by
Prof. Lothar Thiele,
Prof. Laurent Vanbever, and
Prof. Roger Wattenhofer,
Thursday 13.15-15.00 @ ETZ E9, starting 17.09.2015.
Exercises by Georg Bachmeier, Klaus-Tycho Förster, Jochen Seidel, Romain Jacob, and A. El-Hassany, Thursday 15.15-16.45 @ ETZ E9
Old Exams
If you would like some more exercises, you can also have a look at older exams (some with solutions):HS 12, HS 11, HS 10, HS 09, HS 08 or HS 07.
Please note that the lecture material has been updated this year!
Thus, some of the material might no longer be covered in the current lecture and additional material has been added.
Exercise Proceedings
At the beginning of every lecture week, we will publish a new exercise sheet here. This exercise sheet is intended to be solved during the exercise session on Thursday where two tutors will be available to assist you and to answer potential questions. The exercises often require information from the lecture notes, so please make sure that you have them available in some way.
You can hand in your solutions for correction after the exercise session on a voluntary basis. This is not mandatory since a Testat is not required to be admitted to the final exam (see here for further information).
Lecture material
Title | Lecturer | Slides | Additional Material | References |
Chapter 0 Introduction to Automata and Languages 17/09/2015 |
Prof. Vanbever |
PDF 1:1 PDF 4:1 |
[cassandras] [sipser] [exorciser] |
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Chapter 1 Automata and Languages 18/09/2015 |
Prof. Vanbever |
PDF 1:1 PDF 4:1 |
[sipser] [exorciser] |
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Chapter 2 Non-regular Languages and Context Free Grammars 30/09/2015 |
Prof. Vanbever |
PDF 1:1 PDF 4:1 |
[sipser] |
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Chapter 3 Non-regular Languages and Context Free Grammars II 07/10/2015 |
Prof. Vanbever |
PDF 1:1 PDF 4:1 |
[sipser] |
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Chapter 4 Turing Machines and More 14/10/2015 |
Prof. Vanbever |
PDF 1:1 PDF 4:1 |
[sipser] |
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Chapter 5 Markov Chains & PageRank 21/10/2015 |
Prof. Wattenhofer |
PDF 1:1 PDF 4:1 |
[schickinger] |
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Chapter 6 Queueing Theory 29/10/2015 |
Prof. Wattenhofer |
PDF 1:1 PDF 4:1 |
[bertsekas] [schickinger] |
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Chapter 7 Worst Case Event Systems 05/11/2015 12.11.2015 19.11.2015 |
Prof. Wattenhofer |
PDF 1:1 PDF 4:1 |
Move-to-Front Mario und Luigi |
[borodin] [fiat] [hochbaum] |
Chapter 8 Verification of Finite Automata I 26/11/2015 03/12/2015 |
Prof. Thiele |
PDF 1:1 PDF 4:1 |
[burch] |
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Chapter 9 Petri Nets I 10/12/2015 17/12/2015 |
Prof. Thiele |
PDF 1:1 PDF 4:1 |
[murata] |
|
Exercise material
Title | Exercise | Sample Solution | ||
Exercise 1 Assigned: 16/09/2015 Due: 17/09/2015 |
Download | Download | ||
Exercise 2 Assigned: 23/09/2015 Due: 24/09/2015 |
Download | Download | ||
Exercise 3 Assigned: 30/09/2015 Due: 1/10/2015 |
Download | Download | ||
Exercise 4 Assigned: 07/10/2015 Due: 08/10/2015 |
Download | Download | ||
Exercise 5 Assigned: 14/10/2015 Due: 15/10/2015 |
Download | Download | ||
Exercise 6 Assigned: 22/10/2015 Due: 22/10/2015 |
Download | Download | ||
Exercise 7 Assigned: 29/10/2015 Due: 29/10/2015 |
Download | Download | ||
Exercise 8 Assigned: 03/11/2015 Due: 05/11/2015 |
Download | Download | ||
Exercise 9 Assigned: 11/11/2015 Due: 12/11/2015 |
Download | Download | ||
Exercise 10 Assigned: 17/11/2015 Due: 19/11/2015 |
Download | Download | ||
Exercise 11 Assigned: 23/11/2015 Due: 26/11/2015 |
Download | Download | ||
Exercise 12 Assigned: 30/11/2015 Due: 03/12/2015 |
Download | Download | ||
Exercise 13 Assigned: 07/12/2015 Due: 10/12/2015 |
Download | Download | ||
Exercise 14 Assigned: 16/12/2015 Due: 17/12/2015 |
Download | Download | ||
'Testat'
You do not need a Testat to attend the final exam. However, if you need a Testat, e.g. because you don't intend to take the final exam, but need an attestation that you attended the class, you need to hand in at least 80% of the exercises.References
[exorciser] |
Exorciser - Interaktive Lernsoftware für theoretische Informatik Download |
[bertsekas] |
Data Networks Dimitri Bertsekas, Robert Gallager. Prentice Hall, 1991, ISBN: 0132009161 |
[borodin] |
Online Computation and Competitive Analysis Allan Borodin, Ran El-Yaniv. Cambridge University Press, 1998 |
[boudec] |
Network Calculus J.-Y. Le Boudec, P. Thiran. Springer, 2001 |
[burch] |
Symbolic Model Checking Burch, J. R. and Clarke, E. M. and McMillan, K. L. and Dill, D. L. and Hwang, L. J. Inf. Comput. 98, 2 (June 1992), pp. 142-170 Download |
[cassandras] |
Introduction to Discrete Event Systems Christos Cassandras, Stephane Lafortune. Kluwer Academic Publishers, 1999, ISBN 0-7923-8609-4 |
[fiat] |
Online Algorithms: The State of the Art A. Fiat and G. Woeginger. |
[hochbaum] |
Approximation Algorithms for NP-hard Problems (Chapter 13 by S. Irani, A. Karlin) D. Hochbaum. |
[murata] |
Petri Nets: Properties, Analysis and Applications Tadao Murata. Proceedings of the IEEE, vol. 99, issue 4, April 1989. pp. 541--580 Download |
[schickinger] |
Diskrete Strukturen (Band 2: Wahrscheinlichkeitstheorie und Statistik) T. Schickinger, A. Steger. Springer, Berlin, 2001 |
[sipser] |
Introduction to the Theory of Computation Michael Sipser. PWS Publishing Company, 1996, ISBN 053494728X |
[baier] |
Principles of Model Checking Christel Baier and Joost-Pieter Katoen. MIT Press |