We propose an analytic approach to approximate the survival probabilities of schemata under multi-point crossover and obtain its closed form. It gives a convenient way to mathematically analyze the disruptiveness of multi-point crossover. Based on the approximation, we describe a geometric property of the survival probability under multi-point crossover and show the relationship between the sur...

background  & aim: case-crossover  studies are the case-control  version of crossover studies. in these studies, cases and controls are the same subjects. the term crossover is applied for designs that all subjects pass through both treatment (exposure) and placebo (non-exposure) phases. in fact they are  crossover  of  subjects  between  periods  of  exposure  and  non-exposure.  this  design ...

Several recombination operators have been proposed in evolutionary computation. Standard procedures include one-point, two-point, and uniform crossover. Little attention, however, has been given to a recombination operator that preceded each of these, which was offered in 1957 by Alex Fraser. Fraser’s recombination assigns a variable probability for crossing over between two solutions at each l...

In order to understand the role of crossover in differential evolution, theoretical analysis and comparative study of crossover in differential evolution are presented in this paper. Two new crossover methods, namely consecutive binomial crossover and non-consecutive exponential crossover, are designed. The probability distribution and expectation of crossover length for binomial and exponentia...