14 citations · 35 across the 16 of their papers we have counts for
20 papers
Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models
Adriano Festa, Simone Gottlich, Michele Ricciardi
While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the correspondin…
Hybrid control for optimal visiting problems for a single player and for a crowd
Fabio Bagagiolo, Adriano Festa, Luciano Marzufero
In an optimal visiting problem, we want to control a trajectory that has to pass as close as possible to a collection of target points or regions. We introduce a hybrid control-bas…
The orienteering problem: a hybrid control formulation
Fabio Bagagiolo, Adriano Festa, Luciano Marzufero
In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relat…
A hybrid control framework for an optimal visiting problem
Fabio Bagagiolo, Adriano Festa, Luciano Marzufero
The optimal visiting problem is the optimization of a trajectory that has to touch or pass as close as possible to a collection of target points. The problem does not verify the dy…
Stochastic hybrid differential games and match race problems
Simone Cacace, Roberto Ferretti, Adriano Festa
We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a compet…
A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models
Elisabetta Carlini, Adriano Festa, Nicolas Forcadel
We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman equations on networks. The scheme is explicit and stable under some technical condit…
A model for a network of conveyor belts with discontinuous speed and capacity
Adriano Festa, Simone Göttlich, Marion Pfirsching
We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced t…
A Mean Field Games approach for multi-lane traffic management
Adriano Festa, Simone Göttlich
In this work we discuss an Mean Field Games approach to traffic management on multi-lane roads. Such approach is particularly indicated to model self driven vehicles with perfect i…
A Hybrid control approach to the route planning problem for sailing boats
Roberto Ferretti, Adriano Festa
We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time i…
An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations
Adriano Festa, Diogo A. Gomes, Roberto M. Velho
Here, we introduce a numerical approach for a class of Fokker-Planck (FP) equations. These equations are the adjoint of the linearization of Hamilton-Jacobi (HJ) equations. Using t…
The Hughes model for pedestrian dynamics and congestion modelling
Elisabetta Carlini, Adriano Festa, Francisco J. Silva
In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a c…
Kinetic description of collision avoidance in pedestrian crowds by sidestepping
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram
In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. T…
A discrete Hughes' model for pedestrian flow on graphs
Fabio Camilli, Adriano Festa, Silvia Tozza
In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a…
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
Elisabetta Carlini, Adriano Festa, Francisco J. Silva +1
In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system descr…
Decomposition of Differential Games
Adriano Festa, Richard Vinter
This paper provides a decomposition technique for the purpose of simplifying the solution of certain zero-sum differential games. The games considered terminate when the state reac…
Domain decomposition based parallel Howard's algorithm
Adriano Festa
The Classic Howard's algorithm, a technique of resolution for discrete Hamilton-Jacobi equations, is of large use in applications for its high efficiency and good performances. A s…
Reconstruction of Independent Sub-domains for a class of Hamilton Jacobi Equations and its Application to Parallel Computing
Adriano Festa
A previous knowledge of the domains of dependence of an Hamilton Jacobi equation can be useful in its study and approximation. Information of this nature are, in general, difficult…
A decomposition technique for pursuit evasion games with many pursuers
Adriano Festa, Richard B. Vinter
Here we present a decomposition technique for a class of differential games. The technique consists in a decomposition of the target set which produces, for geometrical reasons, a…
An approximation scheme for an Eikonal Equation with discontinuous coefficient
Adriano Festa, Maurizio Falcone
We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More pr…
An approximation scheme for an Hamilton-Jacobi equation defined on a network
Fabio Camilli, Adriano Festa, Dirk Schieborn
In this paper we study an approximation scheme for an Hamilton-Jacobi equation of Eikonal type defined on a network. We introduce an appropriate notion of viscosity solution for th…