b Let the fitness f of bit string x with length L = 4 be the integer represented by the binary number x (e.g. f(0011) 3, f(1111) = 15). Assume that the current = population is: 1010; 0100; 0110; 1100 Construct two tables illustrating how a generational cycle is completed using fitness proportionate selection (roulette wheel) and one-point crossover at site 2. Use the format below as the heading guide for constructing the two tables. Sno Binary String 1 1010 2 0100 3 0110 4 1100 Sum Average Max Fitness value (x) Probability (P) Expected count Actual count

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b Let the fitness f of bit string x with length L = 4 be the integer represented by the
binary number x (e.g. f(0011) 3, f(1111) = 15). Assume that the current
=
population is: 1010; 0100; 0110; 1100
Construct two tables illustrating how a generational cycle is completed using fitness proportionate
selection (roulette wheel) and one-point crossover at site 2. Use the format below as the heading
guide for constructing the two tables.
Sno
Binary String
1
1010
2
0100
3
0110
4
1100
Sum
Average
Max
Fitness value (x) Probability (P)
Expected count
Actual count
Transcribed Image Text:b Let the fitness f of bit string x with length L = 4 be the integer represented by the binary number x (e.g. f(0011) 3, f(1111) = 15). Assume that the current = population is: 1010; 0100; 0110; 1100 Construct two tables illustrating how a generational cycle is completed using fitness proportionate selection (roulette wheel) and one-point crossover at site 2. Use the format below as the heading guide for constructing the two tables. Sno Binary String 1 1010 2 0100 3 0110 4 1100 Sum Average Max Fitness value (x) Probability (P) Expected count Actual count
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