4 papers · 1 filter
Quantifying and managing uncertainty in piecewise-deterministic Markov processes
Elliot Cartee, Antonio Farah, April Nellis +2
In piecewise-deterministic Markov processes (PDMPs) the state of a finite-dimensional system evolves continuously, but the evolutive equation may change randomly as a result of dis…
Control-Theoretic Models of Environmental Crime
Elliot Cartee, Alexander Vladimirsky
We present two models of perpetrators' decision-making in extracting resources from a protected area. It is assumed that the authorities conduct surveillance to counter the extract…
Time-Dependent Surveillance-Evasion Games
Elliot Cartee, Lexiao Lai, Qianli Song +1
Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its…
Anisotropic Challenges in Pedestrian Flow Modeling
Elliot Cartee, Alexander Vladimirsky
Macroscopic models of crowd flow incorporating individual pedestrian choices present many analytic and computational challenges. Anisotropic interactions are particularly subtle, b…