The advantage of Lévy strategies in intermittent search processes

Details The advantage of Lévy strategies in intermittent search processes The advantage of Lévy strategies in intermittent search processes

2007-09-14

arxiv.org/abs/0709.2352v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

Search strategies based on random walk processes with long-tailed jump length distributions (Levy walks) on the one hand and intermittent behavior switching between local search and ballistic relocation phases on the other, have been previously shown to be beneficial in stochastic target finding problems. We here study a combination of both mechanisms: an intermittent process with Levy distributed relocations. We demonstrate how Levy distributed relocations reduce oversampling and thus further optimize the intermittent search strategy in the critical situation of rare targets.

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