General lower bounds for the running time of evolutionary algorithms

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Abstract

We present a new method for proving lower bounds in evolutionary computation based on fitness-level arguments and an additional condition on transition probabilities between fitness levels. The method yields exact or near-exact lower bounds for LO, OneMax, and all functions with a unique optimum. All lower bounds hold for every evolutionary algorithm that only uses standard mutation as variation operator. © 2010 Springer-Verlag.

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Sudholt, D. (2010). General lower bounds for the running time of evolutionary algorithms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6238 LNCS, pp. 124–133). https://doi.org/10.1007/978-3-642-15844-5_13

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