A mixed integer program to model spatial wildfire behavior and suppression placement decisions

Erin J. Belval · Yu Wei · Michael Bevers

39 citations0/0 files storedCanadian Journal of Forest Research

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Facility Location and Emergency Management Forest Management and Policy Fire effects on ecosystems

Abstract

Wildfire suppression combines multiple objectives and dynamic fire behavior to form a complex problem for decision makers. This paper presents a mixed integer program designed to explore integrating spatial fire behavior and suppression placement decisions into a mathematical programming framework. Fire behavior and suppression placement decisions are modeled using nodes associated with cell centers from raster landscapes. The nodes at which suppression is located are determined by control variables. Response variables include fire spread paths, arrival times, and fireline intensities for each node. Both fire arrival times and fireline intensities are necessary to address ecological objectives and fire control. Test cases for this model provide examples of fire behavior interacting with suppression placement to achieve multiple objectives.

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References

2003An Integer Programming Model to Optimize Resource Allocation for Wildfire Containment 2007Deploying Wildland Fire Suppression Resources with a Scenario-Based Standard Response Model 2009Integrated simulation and optimization for wildfire containment 2004Forest Fire Spread and Suppression in DEVS 2012Deploying initial attack resources for wildfire suppression: spatial coordination, budget constraints, and capacity constraints 2012A stochastic programming standard response model for wildfire initial attack planning

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2023Decision Support Models and Methodologies for Fire Suppression 2019Designing Operationally Relevant Daily Large Fire Containment Strategies Using Risk Assessment Results 2015A stochastic mixed integer program to model spatial wildfire behavior and suppression placement decisions with uncertain weather 2024The wildfire suppression problem with multiple types of resources

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