1 citations · 1 across the 8 of their papers we have counts for
8 papers
Optimal Inflow Control for Transport Equations with Uncertain Velocities and Demand
Simone Göttlich, Thomas Schillinger
We study optimal inflow control for a linear transport equation subject to uncertainty in both time-dependent downstream demand and transport velocity. The random velocity induces…
A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Thomas Schillinger
We introduce a modeling framework for an urban tram network based on a hyperbolic partial differential equation describing the transport of passengers along the network, coupled wi…
Probabilistic modeling of car traffic accidents
Simone Göttlich, Thomas Schillinger, Andrea Tosin
We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon.…
Data-inspired modeling of accidents in traffic flow networks using the Hawkes process
Simone Göttlich, Thomas Schillinger
We consider hyperbolic partial differential equations (PDEs) for a dynamic description of the traffic behavior in road networks. These equations are coupled to a Hawkes process tha…
Inverse demand tracking in transportation networks
Simone Göttlich, Patrick Mehlitz, Thomas Schillinger
This paper deals with the reconstruction of the desired demand in an optimal control problem, stated over a tree-shaped transportation network which is governed by a linear hyperbo…
Stochastic optimal control for nonlinear damped network dynamics
Simone Göttlich, Thomas Schillinger
We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear dampin…
Control Strategies for Transport Networks under Demand Uncertainty
Simone Göttlich, Thomas Schillinger
In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditi…
Microscopic and Macroscopic Traffic Flow Models including Random Accidents
Simone Göttlich, Thomas Schillinger
We introduce microscopic and macroscopic stochastic traffic models including traffic accidents. The microscopic model is based on a Follow-the-Leader approach whereas the macroscop…