Zobrazeno 1 - 10
of 264
pro vyhledávání: '"GÖTTLICH, SIMONE"'
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. By combining methods from probability and differential equations, we
Externí odkaz:
http://arxiv.org/abs/2410.00446
Low-discrepancy points (also called Quasi-Monte Carlo points) are deterministically and cleverly chosen point sets in the unit cube, which provide an approximation of the uniform distribution. We explore two methods based on such low-discrepancy poin
Externí odkaz:
http://arxiv.org/abs/2407.07450
In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also a
Externí odkaz:
http://arxiv.org/abs/2407.02962
For linear-quadratic optimal control problems (OCPs) governed by elliptic and parabolic partial differential equations (PDEs), we investigate the impact of perturbations on optimal solutions. Local perturbations may occur, e.g., due to discretization
Externí odkaz:
http://arxiv.org/abs/2403.15056
Climate change compels a reduction of greenhouse gas emissions, yet vehicular traffic still contributes significantly to the emission of air pollutants. Hence, in this paper we focus on the optimization of traffic flow while simultaneously minimizing
Externí odkaz:
http://arxiv.org/abs/2311.12744
Publikováno v:
Commun. Math. Sci., 22(3):845-870, 2024
We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux function, in
Externí odkaz:
http://arxiv.org/abs/2305.07042
Autor:
Göttlich, Simone, Schillinger, Thomas
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 that models traffic accidents taking into account their self-excitation p
Externí odkaz:
http://arxiv.org/abs/2305.03469
In this work we present a nonlocal conservation law with a velocity depending on an integral term over a part of the space. The model class covers already existing models in literature, but it is also able to describe new dynamics mainly arising in t
Externí odkaz:
http://arxiv.org/abs/2302.12797
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 hyperbolic conservation law. As desired demands typically undergo fluctuation
Externí odkaz:
http://arxiv.org/abs/2212.11560