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

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]

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.

For more information on crossover options, please refer to the following MathWorks documentation: https://www.mathworks.com/help/gads/genetic-algorithm-options.html#f7820:~:text=satisfy%20the%20constraints.-,Crossover%20Options,-Crossover%20options%20specify

[Dhanesh R]

Thank you