Aspects of modelling and simulation of genetic algorithms : a formal approach

Genetic algorithms (GAs) are widely used in solving search and optimisation problems involving very large search spaces, or very many variables where closed form solutions are impractical due to the very size of the problems. This dissertation combines the two salient features of GAs, namely the temporal aspect of the evolutionary approach to solving problems at the heart of the GA, and the stochastic aspect of evolution arising from its reliance on basically random generation of new individuals with stringent selection in determining survival. The work centres around describing the formal modelling of GAs using a logical approach based on standard first-order logic combined with temporal logic and with probabilistic logic. These logics are combined into a unified logic, temporal-probabilistic logic (TPL) which is formulated in this work. The GA is then described using TPL as the main tool, and the working of the GA is detailed from its components to the actual processes by formulating a model of the GA. Several important parameters are described and analysed, as is the important mechanism of selection. A simple axiomatisation of the GA using TPL is described as well. Also presented are simulation of the workings of the genetic algorithm based on high-level Petri nets and experimentation with a genetic algorithm package providing experimental evidence centring on the various selection mechanisms for some of the theoretical results.

Department dc:contributor.department

Department of Computer Science and Engineering

Grantor dc:publisher

Helsinki University of Technology

Year dc:date.issued

2002

Author dc:creator

• Sandqvist, Sam

Contributors dc:contributor

• Aalto-yliopisto
• Aalto University

Language dc:language.iso

en

Repository record dc:identifier.uri

https://aaltodoc.aalto.fi/handle/123456789/1214

OAI record oai:identifier

https://aaltodoc.aalto.fi/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Aaaltodoc.aalto.fi%3A123456789%2F1214