Control-Theoretic Models of Environmental Crime

DOI10.1137/19M1270483zbMath1441.49033arXiv1906.09289OpenAlexW3035535292MaRDI QIDQ5113810

Elliot Cartee, Alexander Vladimirsky

Publication date: 17 June 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09289

zbMATH Keywords

optimal controlHamilton-Jacobienvironmental crimemultiobjective path-planningrandomly terminated processes

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Applications of optimal control and differential games (49N90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Hamilton-Jacobi equations (35F21)

Related Items (4)

Closed-loop Nash equilibrium for a partial differential game with application to competitive personalized advertising ⋮ Optimal sizing of the sediment replenishment capacity based on robust ergodic control of subordinator-driven dynamics ⋮ Quantifying and Managing Uncertainty in Piecewise-Deterministic Markov Processes ⋮ Modeling illegal logging in Brazil

Uses Software

• NBI

Cites Work

• Unnamed Item
• Unnamed Item
• A note on two problems in connexion with graphs
• Evasive path planning under surveillance uncertainty
• A multigenerational game model to analyze sustainable development
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
• An optimal control problem with a random stopping time
• Deterministic control of randomly-terminated processes
• An ordered upwind method with precomputed stencil and monotone node acceptance for solving static convex Hamilton-Jacobi equations
• Efficient fast marching with Finsler metrics
• A stochastic control model of economic growth with environmental disaster prevention
• Fast Two-scale Methods for Eikonal Equations
• An Efficient Method for Multiobjective Optimal Control and Optimal Control Subject to Integral Constraints
• A Parallel Two-Scale Method for Eikonal Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control
• Fast Marching Methods
• Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
• Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes
• A fast sweeping method for Eikonal equations
• Efficient algorithms for globally optimal trajectories
• A fast marching level set method for monotonically advancing fronts.
• Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
• Modeling Environmental Crime in Protected Areas Using the Level Set Method
• Fast Sweeping Methods for Eikonal Equations on Triangular Meshes
• Fast Sweeping Methods for Static Hamilton--Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: Control-Theoretic Models of Environmental Crime