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Genetic Algorithm for Function Optimization #11578

@UTSAVS26

Description

@UTSAVS26

Feature description

This feature would introduce a new genetic algorithm-based approach to optimize mathematical functions. It would allow users to find the minimum or maximum values of continuous functions using genetic algorithms.

Key Components:

  • Target Function: The user can define their own function to optimize, for example, ( f(x, y) = x^2 + y^2 ), or more complex functions.
  • Population Initialization: Randomly generate initial solutions (chromosomes) within a defined search space.
  • Fitness Function: Evaluate each chromosome's fitness based on how close the function value is to the desired optimum (minimization or maximization).
  • Selection: Use selection methods like tournament selection or roulette wheel to pick parents for crossover based on their fitness scores.
  • Crossover: Implement crossover strategies such as one-point, two-point, or uniform crossover to combine parent chromosomes into offspring.
  • Mutation: Introduce random mutations to offspring to maintain diversity in the population and avoid local minima.
  • Termination Condition: Allow the algorithm to stop after a set number of generations or when the improvement between generations is minimal.

This implementation would be useful for users needing a flexible and easy-to-use method for solving optimization problems in continuous spaces.

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