Research Article

A Mathematical Design of Genetic Operators on

Figure 1

An example of typical 2D approach. , , and , where is the Hamming distance on typical 2D binary encoding. An offspring that is quite different from parents is generated by recombination operator.
540936.fig.001a
(a) Parent 1 ( )
540936.fig.001b
(b) Parent 2 ( )
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(c) An offspring generated by geographic crossover from and (not invertible, i.e., infeasible)
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(d) Repaired offspring of (c) (invertible, i.e., feasible)