CPE 300 - Optimization Techniques Topic: GA Implementation Scenario: Suppose a genetic algorithm uses chromosomes of the form x = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual x be calculated as: f(x) = (a + b) − (c + d) + (e + f) − (g + h)    and let the initial population consist of four individuals with the following chromosomes: x1 = 6 5 4 1 3 5 3 2 x2 = 8 7 1 2 6 6 0 1 x3 = 2 3 9 2 1 2 8 5 x4 = 4 1 8 5 2 0 9 4   Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last. Perform the following crossover operations: One–point crossover, Two–point crossover, and  uniform crossover.

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CPE 300 - Optimization Techniques

Topic: GA Implementation

Scenario:

Suppose a genetic algorithm uses chromosomes of the form x = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual x be calculated as:

f(x) = (a + b) − (c + d) + (e + f) − (g + h) 

 

and let the initial population consist of four individuals with the following
chromosomes:


x1 = 6 5 4 1 3 5 3 2
x2 = 8 7 1 2 6 6 0 1
x3 = 2 3 9 2 1 2 8 5
x4 = 4 1 8 5 2 0 9 4

 

  1. Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last.
  2. Perform the following crossover operations: One–point crossover, Two–point crossover, and  uniform crossover.
 
 
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