ara MacNish was instrumental in this part of my academic career. I respect Cara as an individual of significant intellect and I humbly offer Cara my profound thanks and appreciation. I should like to also thank Kaipillil Vijayan for the honour of allowing me to complete a PhD thesis under his supervision. I thank Kaipillil Vijayan also for his personal support and assistance. I could not have completed this doctorate without the collaboration of Berwin Turlach to whom I also owe my profound thanks and appreciation. During this doctorate I contracted a life-threatening illness which left sustained problems with my health. However, with the support of an exceptional team of health professionals I have been able to complete the present work. Thus, my many thanks go to
Abstract. An important issue in genetic algorithms is the relationship between the difficulty of a problem and the choice of encoding. Two questions remain unanswered: is their a statistically demonstrable relationship between the difficulty of a problem and the choice of encoding, and, if so, what it the actual mechanism by which this occurs?In this paper we use components of a rigorous statistical methodology to demonstrate that the choice of encoding has a real effect upon the difficulty of a problem. Computer animation is then used to illustrate the actual mechanism by which this occurs.
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