Optimizing random searches on three-dimensional lattices

Benhao Yang, Shunkun Yang, Jiaquan Zhang and Daqing Li

Physica A: Statistical Mechanics and its Applications, 2018, vol. 501, issue C, 120-125

Abstract: Search is a universal behavior related to many types of intelligent individuals. While most studies have focused on search in two or infinite-dimensional space, it is still missing how search can be optimized in three-dimensional space. Here we study random searches on three-dimensional (3d) square lattices with periodic boundary conditions, and explore the optimal search strategy with a power-law step length distribution, p(l)∼l−μ, known as Lévy flights. We find that compared to random searches on two-dimensional (2d) lattices, the optimal exponent μopt on 3d lattices is relatively smaller in non-destructive case and remains similar in destructive case. We also find μopt decreases as the lattice length in z direction increases under high target density. Our findings may help us to understand the role of spatial dimension in search behaviors.

Keywords: Random searches; Spatial networks; Search optimization; Lévy flights (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:501:y:2018:i:c:p:120-125

DOI: 10.1016/j.physa.2018.02.100

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