DPG Phi
Verhandlungen
Verhandlungen
DPG

Dresden 2020 – scientific programme

The DPG Spring Meeting in Dresden had to be cancelled! Read more ...

Parts | Days | Selection | Search | Updates | Downloads | Help

SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.15: Poster

Monday, March 16, 2020, 17:00–20:00, P2/4OG

Optimal transport flow networks with a linear congestion model — •Matthias Dahlmanns1,2, Franz Kaiser1,2, and Dirk Witthaut1,21Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-STE), 52428 Jülich, Germany — 2Institute for Theoretical Physics, University of Cologne, 50937 Köln, Germany

In our daily life, we rely on the proper functioning of various types of supply networks, such as power grids, water supply networks or transportation networks. But what determines the optimal structure of such networks, i.e. how should they be designed? And what happens to them in case of link failures or damages?

A variety of analytical results are available for optimal structures and the response to damages for shortest path flow networks on the one hand and potential flow networks, such as electrical power grids, on the other hand.

In a transportation network, however, travelers try to minimise their travel time, but congestion effects occur on highly frequented links due to limited capacity.

In this contribution, we introduce an approach to study the congestion by a travel time that depends linearly on the local flow which leads to a combination of the two well studied flow types. We then focus on the impact of link failures in this interpolating model and analyse the transition between both flow types in detail. Our results can be applied to understand the influence of congestion on the design of optimal traffic flow networks.

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2020 > Dresden