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arXiv · 2209.01371

Logic-Based benders Decomposition for Wildfire Suppression

Mitchell G Harris·Michael A Forbes·Thomas Taimre
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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.

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Mitchell G Harris, Michael A Forbes, Thomas Taimre. 2022-09-03. Logic-Based benders Decomposition for Wildfire Suppression. https://arxiv.org/abs/2209.01371

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