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
Roger Wattenhofer,
Thursday 13.15-15.00 @ ETF E1.
Exercises by Thomas Moscibroda and Stefan Schmid, Thursday 15.15-17.00 @ ETF E1.
Title | PDF 1:1 | PDF 4:1 | References |
Chapter 0 Introduction 2005/10/27 |
Download | Download | [cassandras] |
Chapter 1 Automata and Languages 2005/10/27 |
Download | Download | [sipser] [exorciser] |
Chapter 2 Smarter Automata 2005/11/10 |
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Chapter 3 Specification Models 2005/11/24 |
Download | Download | [murata] [cassandras] |
Chapter 4 Stochastic Discrete Event Systems 2005/12/01 |
Download | Download | [bertsekas] [schickinger] |
Chapter 5 Worst-Case Event Systems 2006/01/11 |
Download | [borodin] [fiat] [hochbaum] |
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Chapter 6 Network Calculus 2005/02/03 |
Download | Download | [boudec] |
Title | Exercise | Sample Solution | |
Exercise 1 Assigned: 2005/10/27 Due: 2005/11/03 |
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Exercise 2 Assigned: 2005/11/03 Due: 2005/11/10 |
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Exercise 3 Assigned: 2005/11/10 Due: 2005/11/17 |
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Exercise 4 Assigned: 2005/11/17 Due: 2005/11/24 |
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Exercise 5 Assigned: 2005/11/24 Due: 2005/12/01 |
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Exercise 6 Assigned: 2005/12/01 Due: 2005/12/08 |
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Exercise 7 Assigned: 2005/12/08 Due: 2005/12/15 |
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Exercise 8 Assigned: 2005/12/15 Due: 2005/12/22 |
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Exercise 9 Assigned: 2005/12/22 Due: 2006/01/05 |
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Exercise 10 Assigned: 2006/01/12 Due: 2006/01/19 |
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Exercise 11 Assigned: 2006/01/19 Due: 2006/01/26 |
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Exercise 12 Assigned: 2006/01/26 Due: 2006/02/02 |
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[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 |
[exorciser] |
Exorciser Software EducETH Download |
[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 |