Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics Prof. Dr. Dietrich Braess, Faculty of Mathematics, Ruhr University Bochum , will give a public talk (followed by a discussion) on Wed, Nov. 23, 2005 at 16:00 o'clock at HS 9 on the topic of "A Paradoxon in Traffic Flow" . The organziers of the symposium,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, and
die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

Series A - General Colloquium:

The intention is to present general information not only to experts, but also to students and guests from outside the mathematical institutes.

A Paradoxon in Traffic Flow

The travelling time of a vehicle in a road network depends on the flows on the links. Therefore the traffic for each origin/destination pair is often distributed on several routes. It is a difference whether a system optimizer assign a route to every vehicle or each user tries to find the best route for himself. Therefore, in some situations it can happen that an addition of a new road to the network induces an increase of the travelling time for all drivers. The same effect can occur on the internet, but there the deterioration is bounded by 33 %.