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05/05/2023
Data-inspired modeling of accidents in traffic flow networks
We consider hyperbolic partial differential equations (PDEs) for a dynam...
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04/10/2022
Conservation laws with discontinuous flux function on networks: a splitting algorithm
In this article, we present an extension of the splitting algorithm prop...
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11/18/2021
Control Strategies for Transport Networks under Demand Uncertainty
In this article, we consider transport networks with uncertain demands. ...
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05/03/2021
Network models for nonlocal traffic flow
We present a network formulation for a traffic flow model with nonlocal ...
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01/29/2021
On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability
In this contribution we analyze the exponential stability of power netwo...
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12/10/2020
Nonlocal approaches for multilane traffic models
We present a multilane traffic model based on balance laws, where the no...
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11/06/2020
Input-to-state stability of a scalar conservation law with nonlocal velocity
In this paper, we study input-to-state stability (ISS) of an equilibrium...
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08/27/2020
Microscopic and Macroscopic Traffic Flow Models including Random Accidents
We introduce microscopic and macroscopic stochastic traffic models inclu...
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06/17/2020
A two-dimensional multi-class traffic flow model
The aim of this work is to introduce a two-dimensional macroscopic traff...
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05/25/2020
Second-order traffic flow models on networks
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-...
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05/07/2020
Modelling arterial travel time distribution using copulas
The estimation of travel time distribution (TTD) is critical for reliabl...
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03/26/2020
Properties of the LWR model with time delay
In this article, we investigate theoretical and numerical properties of ...
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01/10/2020
Chance-constrained optimal inflow control in hyperbolic supply systems with uncertain demand
In this paper, we address the task of setting up an optimal production p...
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07/31/2019