Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-03-04
Phys. Rev. E 57 (1998) 3853-3860
Physics
Condensed Matter
Statistical Mechanics
10 pages RevTeX, 4 figures PostScript
Scientific paper
10.1103/PhysRevE.57.3853
The genetic algorithm is an optimization procedure motivated by biological evolution and is successfully applied to optimization problems in different areas. A statistical mechanics model for its dynamics is proposed based on the parent-child fitness correlation of the genetic operators, making it applicable to general fitness landscapes. It is compared to a recent model based on a maximum entropy ansatz. Finally it is applied to modeling the dynamics of a genetic algorithm on the rugged fitness landscape of the NK model.
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