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Solving the geometric firefighter routing problem via integer programming

Author

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  • O. Zambon, Mauricio J.
  • J. de Rezende, Pedro
  • C. de Souza, Cid

Abstract

In this paper, we introduce the Geometric Firefighter Routing Problem (gfrp) as a variant of the Geometric Firefighter Problem aiming to better model more realistic situations. We design an exact algorithm based on a core Linear Integer Programming formulation and propose additional sets of valid constraints to strengthen it. The algorithm also includes primal heuristics, and preprocessing procedures to reduce the model size. Besides, we generate two large sets of instances, tailored to the gfrp, and report on comprehensive experimental results for them. Thorough analysis validate the effectiveness of each major step of the algorithm and the overall performance of our approach.

Suggested Citation

  • O. Zambon, Mauricio J. & J. de Rezende, Pedro & C. de Souza, Cid, 2019. "Solving the geometric firefighter routing problem via integer programming," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1090-1101.
    • Handle: RePEc:eee:ejores:v:274:y:2019:i:3:p:1090-1101
    DOI: 10.1016/j.ejor.2018.10.037
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    References listed on IDEAS

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    1. Weifan Wang & Stephen Finbow & Ping Wang, 2014. "A lower bound of the surviving rate of a planar graph with girth at least seven," Journal of Combinatorial Optimization, Springer, vol. 27(4), pages 621-642, May.
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    Cited by:

    1. Bruno R. Gutiérrez-De-La-Paz & Jesús García-Díaz & Rolando Menchaca-Méndez & Mauro A. Montenegro-Meza & Ricardo Menchaca-Méndez & Omar A. Gutiérrez-De-La-Paz, 2022. "The Moving Firefighter Problem," Mathematics, MDPI, vol. 11(1), pages 1-15, December.

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