B05 Sparsification of time-dependent network flow problems by discrete optimization
Network flow models are used in both continuous and discrete optimization to describe fluid-like transitions. To close the gap between these two perspectives, the focus of this project is to extend the theory of flows over time by considering a) sparse representations of solutions and b) the sparsification of network structures. By using temporally repeated flows, a sparse representation of (approximate) solutions can be achieved. To incorporate non-constant transit times and state-dependent network cost, dynamic programming algorithms on tree-like networks are derived. Extensions to nonlinear dynamics are investigated.
Project Leaders
- Prof. Dr. Christina Büsing
- RWTH Aachen University
- more information
- +49 241 80 93441
- buesing@combi.rwth-aachen.de
- homepage
- Prof. Dr. Michael Herty
- RWTH Aachen University
- more information
- +49 241 80 94510
- herty@igpm.rwth-aachen.de
- homepage
- Prof. Dr. Arie Koster
- RWTH Aachen University
- more information
- +49 241 80 94524
- koster@math2.rwth-aachen.de
- homepage
Postdocoral Researcher
- Dr. Chiara Segala
- RWTH Aachen University
- more information
- +49 241 80 93070
- segala@igpm.rwth-aachen.de
- homepage
Doctoral Researchers
- Mariia Anapolska
- RWTH Aachen University
- more information
- +49 241 80 93442
- anapolska@combi.rwth-aachen.de
- Sabrina Schmitz
- RWTH Aachen University
- more information
- +49 241 80 93437
- schmitz@combi.rwth-aachen.de