C02: Port-Hamiltonian Systems for dynamic nonlinear network flow problems
Principal investigators:
Prof. Dr. Kathrin Klamroth; Prof. Dr. Claudia Totzeck
Project description:
Precise and at the same time efficiently solvable models for dynamic network flow problems are just as relevant in supply chain design as they are for complex energy transportation problems. Typical constraints include flow conservation in the nodes, which are fulfilled by definition by port-Hamiltonian systems on graphs. In combination with optimal control approaches, we develop and analyze a model hierarchy of dynamic and nonlinear network flow problems and exploit coupling properties of port-Hamiltonian systems to efficiently solve medium to large-scale problems.
Researchers:
M.Sc. Lina Landwehr; Michael Dantschenko
Publications of project C02:
3.
Doganay, Onur Tanil; Klamroth, Kathrin; Lang, Bruno; Stiglmayr, Michael; Totzeck, Claudia
Modeling minimum cost network flows with port-Hamiltonian systems
, PAMM.\ Proc.\ Appl.\ Math.\ Mech.Band23, Seite e202200224
20232.
Doganay, Onur Tanil; Klamroth, Kathrin; Lang, Bruno; Stiglmayr, Michael; Totzeck, Claudia
A new perspective on dynamic network flow problems via port-Hamiltonian systems
20231.
Doganay, Onur Tanil; Klamroth, Kathrin; Lang, Bruno; Stiglmayr, Michael; Totzeck, Claudia
A new perspective on dynamic network flow problems via port-Hamiltonian systems
2023
