English

Evolutionary learning of fire fighting strategies

Neural and Evolutionary Computing 2017-05-05 v1

Abstract

The dynamic problem of enclosing an expanding fire can be modelled by a discrete variant in a grid graph. While the fire expands to all neighbouring cells in any time step, the fire fighter is allowed to block cc cells in the average outside the fire in the same time interval. It was shown that the success of the fire fighter is guaranteed for c>1.5c>1.5 but no strategy can enclose the fire for c1.5c\leq 1.5. For achieving such a critical threshold the correctness (sometimes even optimality) of strategies and lower bounds have been shown by integer programming or by direct but often very sophisticated arguments. We investigate the problem whether it is possible to find or to approach such a threshold and/or optimal strategies by means of evolutionary algorithms, i.e., we just try to learn successful strategies for different constants cc and have a look at the outcome. The main general idea is that this approach might give some insight in the power of evolutionary strategies for similar geometrically motivated threshold questions. We investigate the variant of protecting a highway with still unknown threshold and found interesting strategic paradigms. Keywords: Dynamic environments, fire fighting, evolutionary strategies, threshold approximation

Keywords

Cite

@article{arxiv.1705.01721,
  title  = {Evolutionary learning of fire fighting strategies},
  author = {Martin Kretschmer and Elmar Langetepe},
  journal= {arXiv preprint arXiv:1705.01721},
  year   = {2017}
}
R2 v1 2026-06-22T19:36:47.917Z