Discrete Event Systems (HS 2008)
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 queuing 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 queuing.
Course language: German
Lecture by
Prof. Roger Wattenhofer and
Dr. Kai Lampka
Thursday 13.15-15.00 @ ETF E1.
Exercises by Raphael Eidenbenz and Roland Flury Thursday 15.15-17.00 @ ETF E1.
Exam Review
To look at your exam, please go to our secretary Monica Fricker during the following office hours:Monday: 15-17
Wednesday: 9-11
Her office is ETZ G88.
Exam
The exam is scheduled for Tuesday, 20. January 2009, from 9:00 to 12:00 at HG E5.You may use any material except communication devices and computers. Please bring your hand-held calculator.
In order to get a feeling of our exam style, you may have a look at this sample exam and the sample solutions.
As some contents of Chapter 3 is new to this lecture, you will not find any questions on some topics (Model Checking, BDDs) in the sample exam. For that matter, you might find this repetition exercises and their sample solutions helpful.
Question Session
We will hold a question session in which we (try to) answer your questions about this lecture. The session is on Tuesday, 13. January 2009, 14:00 - 15:00 at ETZ F78.1Please send us your questions ahead of time, at the latest until Monday, 12. January 2009 at 14:00 by email to either of the assistants.
Question Wiki
We try to keep all answered questions (not the ones we answer in the question session, though) publicly available on this Question Wiki such that everyone can profit.Lecture Notes
The following documents are lecture notes from former students. (We provide no guarantee that these documents are correct!)HS_05 HS_06 HS_07
Lecture material
Title | Slides | Additional Material | References |
Chapter 0 Introduction 18/9/2008 |
PDF 1:1 PDF 4:1 |
[cassandras] |
|
Chapter 1 Automata and Languages 18/9/2008 |
PDF 1:1 PDF 4:1 |
[sipser] [exorciser] |
|
Chapter 2 Smarter Automata 18/9/2008 |
PDF 1:1 PDF 4:1 |
[sipser] [exorciser] |
|
Chapter 3a Specification Models - Intro 16/10/2008 |
PDF 1:1 PDF 4:1 |
Hinweise zu SDL |
|
Chapter 3b Specification Models - SDL and MSC 22/10/2008 |
PDF 1:1 PDF 4:1 |
[time] [doldi] |
|
Chapter 3c Specification Models - Petri Nets and BDDs 30/10/2008 |
PDF 1:1 PDF 4:1 |
[murata] |
|
Chapter 3d Specification Models - Model Checking and Timed Automata 06/11/2008 |
PDF 1:1 PDF 4:1 |
Equivalence rules for LTL |
[clarke] [baier] [biere] [uppaal] |
Chapter 4 Stochastic Discrete Event Systems 13/11/2008 |
PDF 1:1 PDF 4:1 |
[bertsekas] [schickinger] |
|
Chapter 5 Worst Case Event Systems 4/12/2008 |
PDF 1:1 PDF 4:1 |
Mario und Luigi |
[borodin] [fiat] [hochbaum] |
Chapter 6 Network Calculus 16/12/2008 |
PDF 1:1 PDF 4:1 |
[boudec] |
|
Exercise material
Title | Exercise | Sample Solution | |
Exercise 1 Assigned: 18/09/2008 Due: 25/9/2008 |
Download | Download | |
Exercise 2 Assigned: 25/9/2008 Due: 2/10/2008 |
Download | Download | |
Exercise 3 Assigned: 2/10/2008 Due: 9/10/2008 |
Download | Download | |
Exercise 4 Assigned: 9/10/2008 Due: 16/10/2008 |
Download | Download | |
Exercise 5 Assigned: 16/10/2008 Due: 23/10/2008 |
Download | Download | |
Exercise 6 Assigned: 23/10/2008 Due: 30/10/2008 |
Download | Download | |
Exercise 7 Assigned: 30/10/2008 Due: 6/11/2008 |
Download | Download | Sample solutions updated on 31.10. 15:30 to version 2 Solution for questions 5 and 6 |
Exercise 8 Assigned: 6/11/2008 Due: 13/11/2008 |
Download | Download | Material for Question 3 and 4 |
Exercise 9 Assigned: 13/11/2008 Due: 20/11/2008 |
Download | Download | |
Exercise 10 Assigned: 20/11/2008 Due: 27/11/2008 |
Download | Download | |
Exercise 11 Assigned: 27/11/2008 Due: 4/12/2008 |
Download | Download | |
Exercise 12 Assigned: 4/12/2008 Due: 11/12/2008 |
Download | Download | |
Exercise 13 Assigned: 11/12/2008 Due: 18/12/2008 |
Download | Download | Notes |
Exercise 14 Assigned: 18/12/2008 Due: 24/12/2008 |
Download | Download | |
Exercise 15 Assigned: 24/12/2008 Due: 24/12/2008 |
Download | Download | This is the repetition series to Lampka's part |
'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 Bersekas, 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 |
[cassandras] |
Introduction to Discrete Event Systems Christos Cassandras,Stéphane 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 |
[time] |
TIMe Electronic Textbook version 4.0 September 1999. Tutorial on SDL Tutorial on MSC-96 |
[doldi] |
Validation of communications systems with SDL : the art of SDL simulation and reachability analysis, Chichester Wiley, 2003. Download |
[clarke] |
Model Checking Clarke, Grumberg, Peled MIT Press |
[baier] |
Principles of Model Checking Christel Baier and Joost-Pieter Katoen MIT Press |
[biere] |
Symbolic Model Checking without BDDs Armin Biere, Alessandro Cimatti, Edmund M. Clarke and Yunshan Zhu TACAS 1999, S. 193-207 |
[uppaal] |
Tutorial on Uppaal Gerd Behrmann, Alexandre David, and Kim G. Larsen Proceedings of the 4th International School on Formal Methods for the Design of Computer, Communication, and Software Systems (SFM-RT 04). LNCS 3185. Download |