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Mitchell, T. J. (2010) An exploration of evolutionary computation ...

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Chapter 3<br />

Background - Multimodal Optimisation<br />

Since the introduction <strong>of</strong> EC over 40 years ago, there has been growing interest in the<br />

application <strong>of</strong> EAs to an ever-increasing range <strong>of</strong> parameter optimisation problems. EAs<br />

have been shown to be robust, reliable and straightforward to apply even when there is<br />

very little a priori knowledge <strong>of</strong> the underlying problem domain. However, in search space<br />

environments containing multiple distinct optima, EAs can <strong>of</strong>ten fail. This chapter reviews<br />

an EA pathology known as preconvergence and summarises the algorithmic attributes that<br />

result in this shortcoming. A range <strong>of</strong> techniques are then reviewed which have been<br />

designed to minimise the likelihood <strong>of</strong> preconvergence.<br />

3.1 Multimodal Problem<br />

Domains and Preconvergence<br />

As described in chapter two, EAs operate through the maintenance <strong>of</strong> a finite population <strong>of</strong><br />

solution candidates. Each candidate represents a sample taken from the fitness landscape <strong>of</strong><br />

the application domain. At the early stages <strong>of</strong> optimisation, samples are distributed<br />

31

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