A new crossover operator for genetic algorithms

Starting from a mathematical reinterpretation of the classical crossover operator, a new type of crossover is introduced. The proposed new crossover operator gives better performances than the classical 1 point, 2 point or uniform crossover operators. A theoretical investigation of the behaviour of the new crossover is presented. Compared to the classical crossover operators, it allows better exploration of the searching space and gives better results. Some comparative results relative to the optimization of test functions taken from literature are given.