Tuesday, 16:15 - 16:40 h, Room: H 3013

 

Ronald Koch
Continuous and discrete flows over time

Coauthors: Ebrahim Nasrabadi, Martin Skutella

 

Abstract:
Network flows over time form a fascinating area of research. They model the temporal dynamics of network flow problems occurring in a wide variety of applications. Research in this area has been pursued in two different and mainly independent directions with respect to time modeling: discrete and continuous time models.
In this talk we deploy measure theory in order to introduce a general model of network flows over time combining both discrete and continuous aspects into a single model. Here, the flow on each arc is modeled as a Borel measure on the real line (time axis) which assigns to each suitable subset a real value, interpreted as the amount of flow entering the arc over the subset. We motivate the usage of measures as a quite natural tool for modeling flow distributions over time. In particular, we show how static flow theory can be adopted to obtain corresponding results for this general flow over time model.

 

Talk 3 of the invited session Tue.3.H 3013
"Combinatorial optimization and equilibria for flows over time" [...]
Cluster 2
"Combinatorial optimization" [...]

 

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