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Recap on Big O

The most time consuming part in an Evolutionary Algorithm(EA) is the Fitness Function. If you need to evaluate the time complexity of EAs (evolutionary algorithms) with Big O notation, you can use O(NG), where N describe the size of population and G stands for number of iterations.

So what is the time complexity of a GA? The anwser to your question will usually depend on (in order of significance):

  • 1. The fitness function
  • 2. The selection operator
  • 3. The variation operators

If the number of generations and population size is constant, as long as your mutation function, crossover function, and fitness function takes a known amount of time, the big o is O(1) - it takes a constant amount of time.

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