This workshop will be directed towards particle flows in complex topologies, either given in the form of networks and graphs, or in the form of random or quasi – periodic media. The aim of the workshop will be to bring together an interdisciplinary group of researchers in different areas such as traffic flow simulation, supply chain management and physical flows in random media. These areas share a number of common challenges and require therefore the usage of similar mathematical toolboxes. These challenges include the incorporation of the stochasticity of the flow and the topology into averaged macroscopic models via appropriate homogenization methods, the existence of intermediate regimes, consisting only of a limited number of cars, clients or particles, and the resulting need to develop hybrid modeling tools linking particle and discrete event simulation models to macroscopic fluid equations.
(Georgia Institute of Technology, Mathematics)
Karl Kempf (Intel Corporation)
Stephan Mischler (Université de Paris IX (Paris-Dauphine))
Benedetto Piccoli (Consiglio Nazionale delle Ricerche (CNR))
Christian Ringhofer (Arizona State University, Department of Mathematics and Statistics)