91 citations · 223 across the 21 of their papers we have counts for
7 papers · 1 filter
A Tight Formulation for the Dial-a-Ride Problem
Daniela Gaul, Kathrin Klamroth, Christian Pfeiffer +2
Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route planning problems becom…
On the online path extension problem -- Location and routing problems in board games
Konstantin Kraus, Kathrin Klamroth, Michael Stiglmayr
We consider an online version of a longest path problem in an undirected and planar graph that is motivated by a location and routing problem occurring in the board game "Turn & Ta…
Modeling Minimum Cost Network Flows With Port-Hamiltonian Systems
Onur Tanil Doganay, Kathrin Klamroth, Bruno Lang +2
We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of clas…
A new perspective on dynamic network flow problems via port-Hamiltonian systems
Onur Tanil Doganay, Kathrin Klamroth, Bruno Lang +2
We suggest a global perspective on dynamic network flow problems that takes advantage of the similarities to port-Hamiltonian dynamics. Dynamic minimum cost flow problems are formu…
Non-convex shape optimization by dissipative Hamiltonian flows
Matthias Bolten, Onur Tanil Doganay, Hanno Gottschalk +1
Shape optimization with constraints given by partial differential equations (PDE) is a highly developed field of optimization theory. The elegant adjoint formalism allows to comput…
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss
Fabian Heldmann, Sarah Berkhahn, Matthias Ehrhardt +1
Physics informed neural networks (PINNs) have proven to be an efficient tool to represent problems for which measured data are available and for which the dynamics in the data are…
Ridepooling and public bus services: A comparative case-study
Hayk Asatryan, Daniela Gaul, Hanno Gottschalk +2
This case-study aims at a comparison of the service quality of time-tabled buses as compared to on-demand ridepooling cabs in the late evening hours in the city of Wuppertal, Germa…