학술논문

Logic-Based benders Decomposition for Wildfire Suppression
Document Type
Working Paper
Source
Subject
Mathematics - Optimization and Control
90C10, 90C11, 90C27, 90C30, 90C90
Language
Abstract
We study the problem of locating fire suppression resources in a burning landscape in order to minimise the total area burned. The landscape is modelled as a directed graph, with nodes representing regions of the landscape, and arcs representing adjacency relationships. The fire spread is modelled using the minimum travel time principle. We propose a non-linear integer programming formulation and an exact solution approach utilising logic-based Benders decomposition. We benchmark the approach against a mixed integer program and an iterated local search metaheuristic from the literature. We are able to solve challenging instances to proven optimality in a reasonable amount of time.
Comment: 24 pages