When the Plus Strategy Outperforms the Comma Strategyand When Not

When the Plus Strategy Outperforms the Comma Strategyand When Not
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当加号策略优于逗号策略时以及何时不优于逗号策略

DOI:
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发表时间:
2007
期刊:
IEEE Symposium on Foundations of Computational Intelligence
影响因子:
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通讯作者:
T. Storch
T. Storch
中科院分区:
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文献类型:
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作者:
J. Jägersküpper;T. Storch

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偶尔也会有关于是否使用精英选择的长期辩论。在本文中,简单的(1,λ)EA和{1 + λ)EA操作{0,l}n进行了比较,通过严格的运行时分析。结果是,只有λ的值是n的对数才是有趣的。一个说明性的功能,新开发的证明方法表明,(1,λ)EA -其中λ是对数n -优于(1 + λ)EA的任何λ。对于较小的后代群体的(1,λ)EA是低效的,每个功能与一个唯一的最佳值,而较大的λ的两个随机搜索算法的行为几乎等同。
Occasionally there have been long debates on whether to use elitist selection or not. In the present paper the simple (1, lambda) EA and {1 + lambda) EA operating on {0, l}n are compared by means of a rigorous runtime analysis. It turns out that only values for lambda that are logarithmic in n are interesting. An illustrative function is presented for which newly developed proof methods show that the (1, lambda) EA - where lambda is logarithmic in n - outperforms the (1 + lambda) EA for any lambda. For smaller offspring populations the (1, lambda) EA is inefficient on every function with a unique optimum, whereas for larger lambda the two randomized search heuristics behave almost equivalently.