The best replacement for genetic algorithm is neural network.

The best alternatives to genetic algorithm are rated as following:
★★★★★  neural network
★★★★  evolutionary algorithm
★★★★  simulated annealing
★★★  hill climbing
★★★  gradient descent
★★  reinforcement learning
★★  particle swarm optimization
★  traditional algorithm
★  differential evolution
★  ant colony optimization
  evolutionary strategy

Your alternative for genetic algorithm is not listed? Suggest!
Speaking about genetic algorithm, one probably shouldn't forget about neural network.

Other search terms related to genetic algorithm and their ratings are:
★★★★★ neural network
★★★ fuzzy logic
★★ simulated annealing
You have in mind a companion for genetic algorithm and it is not yet here? Propose!



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genetic algorithm
neural network
evolutionary algorithm