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Iterated local search for the placement of wildland fire suppression resources

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  • Mendes, André Bergsten
  • e Alvelos, Filipe Pereira

Abstract

We consider the problem of, given a landscape represented by a gridded network and a fire ignition location, deciding where to locate the available fire suppression resources to minimise the burned area and the number of deployed resources as a secondary objective. We assume an estimate of the fire propagation times between adjacent nodes and use the minimum travel time principle to model the fire propagation at a landscape-level. The effect of locating a resource in a node is that it becomes protected and the fire propagation to its unburned adjacent nodes is delayed. Therefore, the problem is to identify the most promising nodes to locate the resources, which is solved by a novel iterated local search (ILS) metaheuristic. A mixed integer programming (MIP) model from the literature is used to validate the proposed method in 32 grid networks with sizes 6x6, 10x10, 20x20 and 30x30, with two different number of fire suppression resources (64 problems). Our ILS produced optimal solutions in 40 cases out of 41 known optimal lower bounds. The proposed method’s effectiveness is also due to its short computing times and small coefficients of variation of the objective function values.

Suggested Citation

  • Mendes, André Bergsten & e Alvelos, Filipe Pereira, 2023. "Iterated local search for the placement of wildland fire suppression resources," European Journal of Operational Research, Elsevier, vol. 304(3), pages 887-900.
    • Handle: RePEc:eee:ejores:v:304:y:2023:i:3:p:887-900
    DOI: 10.1016/j.ejor.2022.04.037
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    References listed on IDEAS

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    1. James I. MacLellan & David L. Martell, 1996. "Basing Airtankers for Forest Fire Control in Ontario," Operations Research, INFORMS, vol. 44(5), pages 677-686, October.
    2. Minas, James P. & Hearne, John W. & Martell, David L., 2014. "A spatial optimisation model for multi-period landscape level fuel management to mitigate wildfire impacts," European Journal of Operational Research, Elsevier, vol. 232(2), pages 412-422.
    3. William S. Jewell, 1963. "Forest Fire Problems---A Progress Report," Operations Research, INFORMS, vol. 11(5), pages 678-692, October.
    4. Martí, Rafael & Resende, Mauricio G.C. & Ribeiro, Celso C., 2013. "Multi-start methods for combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 226(1), pages 1-8.
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