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Genetic Algorithm Schema


In a binary genetic algorithm, a schema is a template over the alphabet {0,1,*}, where * matches either binary digit. A string matches the schema if it agrees with every fixed digit. The order o(H) of a schema H is the number of fixed positions, and its defining length delta(H) is the distance between its first and last fixed positions. A schema of order o matches 2^(l-o) strings of length l. The propagation of schemata under selection, crossover, and mutation is bounded by Holland's schema theorem.


See also

Genetic Algorithm, Holland's Schema Theorem

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References

Holland, J. H. Adaptation in Natural and Artificial Systems. Cambridge, MA: MIT Press, 1992.

Cite this as:

Weisstein, Eric W. "Genetic Algorithm Schema." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GeneticAlgorithmSchema.html

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