Authors: | Droste, Stefan Jansen, Thomas Wegener, Ingo |
Title: | On the Analysis of the (1 + 1) Evolutionary Algorithm |
Language (ISO): | en |
Abstract: | Many experimental results are reported on all types of Evolutionary Algorithms but only few results have been proved. A step towards a theory on Evolutionary Algorithms, in particular, the socalled (1+1) Evolutionary Algorithm is performed. Linear functions are proved to be optimized in expected time O(n ln n) but only mutation rates of size O (1=n) can ensure this behaviour. For some polynomial of degree 2 the optimization needs exponential time. The same is proved for a unimodal function. Both results were not expected by several other authors. Finally, a hierarchy result is proved. Moreover, methods are presented to analyze the behaviour of the (1 + 1) Evolutionary Algorithm. |
URI: | http://hdl.handle.net/2003/5340 http://dx.doi.org/10.17877/DE290R-8024 |
Issue Date: | 1998-11-08 |
Provenance: | Universität Dortmund |
Appears in Collections: | Sonderforschungsbereich (SFB) 531 |
Files in This Item:
File | Description | Size | Format | |
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CI2198_doc.ps | 902.89 kB | Postscript | View/Open | |
ci2198_doc.pdf | DNB | 362.3 kB | Adobe PDF | View/Open |
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This item is protected by original copyright
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