The best replacement for simulated annealing is genetic algorithm.


The best alternatives to simulated annealing are rated as following:
★★★★★  genetic algorithm
★★★  hill climbing
★  gradient descent
★  particle swarm

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Speaking about simulated annealing, one probably shouldn't forget about genetic algorithm.

Other search terms related to simulated annealing and their ratings are:

★★★★★ genetic algorithm
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