2016/04/04 by Benjamin Doerr, Doerr, Benjamin
Computer Science · Engineering · #Metaheuristic Optimization Algorithms Research #Advanced Control Systems Optimization #Advanced Control Systems Design
paper · pdf · doi:10.48550/arxiv.1604.01088
The (1+(λ,λ)) genetic algorithm is one of the few algorithms for which a super-constant speed-up through the use of crossover could be proven. So far, this algorithm has been used with parameters based also on intuitive considerations. In this work, we rigorously regard the whole parameter space and show that the asymptotic time complexity proven by Doerr and Doerr (GECCO 2015) for the intuitive choice is best possible among all settings for population size, mutation probability, and crossover bias.