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Self-Organized Traffic Flow and Human Coordination in Space and Time
Last Updated: 2026-02-05 15:14:18
Abstract
The lectures present mathematical models of human coordination in space and time, addressing subjects like pedestrian motion, crowd dynamics, freeway traffic and material flows in networks. Particular attention is paid to the spontaneous formation (emergent self-organization) and breakdown of cooperative spatio-temporal patterns of motion.
Objective
Students should gain an overview over the many interesting phenomena observed in traffic flows, crowds, and other multi-component systems characterized by interactive motion in space and time, such as material flows in logistics and production. Moreover, participants of the course should learn how to set up mathematical models describing such systems. Finally, one should be able to derive in mathematical terms typical spatio-temporal characteristics of the systems under consideration. It is expected that the corresponding formalisms can be well formulated and explained.
Content
The lectures present mathematical models of human coordination in space and time, addressing subjects like pedestrian motion, crowd dynamics, freeway traffic and material flows in networks. A particular focus will be on the spontaneous formation (emergent self-organization) and breakdown of cooperative spatio-temporal patterns of motion. We will answer questions such as: Why are vehicles sometimes stopped by so-called ``phantom traffic jams'', although they all like to drive fast? What are the mechanisms behind stop-and-go traffic? Why are there several different kinds of congestion, and how are they related? Why do most traffic jams occur considerably before the road capacity is reached? Can a temporary reduction of the traffic volume cause a lasting traffic jam? Under which conditions can speed limits speed up traffic? Why do pedestrians moving in opposite directions normally organize in lanes, while similar systems are ``freezing by heating''? How do pedestrians manage to cross different flow directions smoothly, often without stopping? Why do self-organizing systems tend to reach an optimal state? What is layer formation and the ``zipper effect''? Why do panicking pedestrians produce dangerous deadlocks or phenomena like ``crowd turbulence''? Can one understand business cycles through unstable material flows in networks? How can one describe the interaction of traffic flows in urban street networks? And how can those flows be optimally coordinated by a self-organized traffic light control?
Resources
Lecture Notes
The script is a copyrighted and preliminary first draft of an upcoming book on traffic dynamicsintended for publication. Feedback on this script is strongly encouraged. (Please report unclearparagraph and mistakes.)
Literature
[1] Dirk Helbing, Verkehrsdynamik (Springer, Berlin, 1997). [2] Dirk Helbing, Traffic and related self-driven many-particle systems. Reviews of Modern Physics 73(4), 1067-1141 (2001). [3] Additional references will be given in each chapter of the lecture/script.
General Information
- Language
- English
- Levels
- DS
- Frequency
- Yearly recurring
Examination
- Type
- end-of-semester examination
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Self-Organized Traffic Flow and Human Coordination in Space and Time |
|
2 h weekly |
Offered In
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Humanities, Social and Political Sciences (In order to be awarded credits, please register under "Pflichtwahlfach GESS"!. The language courses are offered by the ETH and University of Zurich Language Center.)
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