Demonstrate when genetic algorithm is used to find the maximum of a function, but encode the design variables x1 and x2 as 8-bit binary numbers instead of 4-bit to achieve higher resolution.  Function to be optimized:  see photo Start your search with an assumption that x1 and x2 are somewhere between -2 and 2.  Carry out the algorithm for a minimum of 5 generations.  Provide output along with a list of how the maximum value of y progresses in each generation.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Demonstrate when genetic algorithm is used to find the maximum of a function, but encode the design variables x1 and x2 as 8-bit binary numbers instead of 4-bit to achieve higher resolution. 
Function to be optimized: 

see photo

Start your search with an assumption that x1 and x2 are somewhere between -2 and 2. 
Carry out the algorithm for a minimum of 5 generations. 
Provide output along with a list of how the maximum value of y progresses in each generation.

y = 3 +
exp(-x₁ - x²)
0.1(x₁ + 3)
Transcribed Image Text:y = 3 + exp(-x₁ - x²) 0.1(x₁ + 3)
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