Comparison of Crossover Methods: 'crossoverheuristic' vs 'crossoverintermediate' vs 'crossoverarithmetic'

Question

Dhanesh R 2024-5-31

评论： Dhanesh R 2024-6-11

How is 'crossoverheuristic' different from 'crossoverintermediate'?

Is that 'crossoverheuristic' always take ratio greater than 1, i.e., the offspring will always be much far from the parent with lower fitness compared to the parent with higher fitness?
Is 'crossoverheuristic' a special case of 'crossoverintermediate'?

Should the ratio be always scalar in 'crossoverheuristic'?

Is there any issue in setting the ratio to greater than 1 for 'crossoverintermediate' over a problem with linear constraints and bounds?

How is 'crossoverarithmetic' different from 'crossoverintermediate'?

Answer 1

Aneela 2024-6-7

Hi Dhanesh,

Crossover heuristic:

The heuristic crossover is a method that generates a single offspring from two parents by moving from the worse parent towards the better parent.
The ratio determines how far beyond the better parent the offspring will be created.
Using a ratio greater than 1 encourages exploration by creating offspring that are not strictly within the bounds defined by the parent solutions.

Crossover intermediate:

Intermediate crossover produce offspring that lie between the parents or beyond them, depending on the coefficients used.
Setting the ratio to values greater than 1 can lead to offspring that lie outside the parents' interval.

Crossover Arithmetic:

Arithmetic crossover is a specific type of intermediate crossover where the same coefficient is used for all dimensions of the problem.
It offers a simpler and more consistent blending of parental genes.