The Firefighter Problem: Application of Hybrid Ant Colony Optimization Algorithms

  • Christian Blum
  • Maria J. Blesa
  • Carlos García-Martínez
  • Francisco J. Rodríguez
  • Manuel Lozano
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8600)

Abstract

The firefigther problem is a deterministic discrete-time model for the spread (and the containment) of fire on an undirected graph. Assuming that the fire breaks out at a predefined set of vertices, the goal is to save as many vertices as possible from burning. The same model has also been used in the literature for the simulation of the spreading of deseases. In this work we present, to our knowledge, the first metaheuristics for tackling this problem. In particular, a pure ant colony optimization approach and a hybrid variant of this algorithm are proposed. The results show that the hybrid ant colony optimization variant is superior to the pure ant colony optimization version and to a mathematical programming solver, especially when the graph size and density grows.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Christian Blum
    • 1
    • 2
  • Maria J. Blesa
    • 3
  • Carlos García-Martínez
    • 4
  • Francisco J. Rodríguez
    • 5
  • Manuel Lozano
    • 5
  1. 1.Dept. of Computer Science and Artifical IntelligenceUniv. of the Basque Country UPV/EHUSan SebastianSpain
  2. 2.IKERBASQUEBasque Foundation for ScienceBilbaoSpain
  3. 3.ALBCOM Research GroupUniv. Politécnica de CatalunyaBarcelonaSpain
  4. 4.Dept. of Computing and Numerical AnalysisUniv. of CórdobaSpain
  5. 5.Dept. of Computer Science and Artificial IntelligenceUniv. of GranadaSpain

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