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MATH+ - Nash flows over time in transport and evacuation simulation

Project description

This interdisciplinary project aims to make progress at the intersection of network flows, algorithmic game theory, and traffic simulation and control. The goal is to gain a better structural understanding and, based upon this, provide efficient algorithmic methods to handle real-world traffic scenarios, e.g., in the context of evacuation planning. To this end, in interdisciplinary collaboration between mathematicians and traffic engineers, advanced flow over time models for dynamic user equilibria will be developed and mathematically analyzed. Solutions resulting from novel flow over time methods will be empirically evaluated and integrated into the large-scale agent-based transport simulation tool MATSim.

Funding agency

DFG [1]


See here [2].


See here [3].


Prof. Dr. Kai Nagel [4], TU Berlin

Theresa Ziemke [5], TU Berlin

Project partners

Prof. Dr. Martin Skutella [6], TU Berlin

Leon Sering [7], TU Berlin

Laura Vargas Koch [8], RWTH Aachen

Project webpage

https://mathplus.de/research-2/application-areas/aa3-networks/aa3-2/ [9]


https://www.matsim.org/ [10]

https://www.coga.tu-berlin.de/v_menue/download_media/nash_flow_computation/ [11]

https://www.coga.tu-berlin.de/v_menue/kombinatorische_optimierung_und_graphenalgorithmen/ [12]



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