Royal road functions and the (1 + λ) evolutionary algorithm: Almost no speed-up from larger offspring populations

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We analyze the runtime of the (1 + λ) evolutionary algorithm (EA) on the classic royal road test function class. For a royal road function defined on bit-strings of length n having block size d ≥ log n + (c + 1 + ε) log d, we prove that the (1 + λ) EA with λ = Θ(nc) finds the optimum in an expected number of equation generations. Together with our lower bound of equation, this shows that for royal road functions even very large offspring populations do not reduce the runtime significantly.

Original languageEnglish
Title of host publication2013 IEEE Congress on Evolutionary Computation, CEC 2013
Pages424-431
Number of pages8
DOIs
Publication statusPublished - 21 Aug 2013
Externally publishedYes
Event2013 IEEE Congress on Evolutionary Computation, CEC 2013 - Cancun, Mexico
Duration: 20 Jun 201323 Jun 2013

Publication series

Name2013 IEEE Congress on Evolutionary Computation, CEC 2013

Conference

Conference2013 IEEE Congress on Evolutionary Computation, CEC 2013
Country/TerritoryMexico
CityCancun
Period20/06/1323/06/13

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