Three-Dimensional Genetic Algorithm for the Kirkman's Schoolgirl Problem

This paper focuses on the possibilities of multidimensional genetic algorithms and relevant genetic operators. After the literature overview we used a three-dimensional genetic algorithm to solve a combinatorial task called Kirkman’s Schoolgirl Problem. The first results were not good, but we improv...

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Bibliographic Details
Main Authors: Jan Merta, Tomas Brandejsky
Format: Article
Language:English
Published: Brno University of Technology 2018-06-01
Series:Mendel
Subjects:
Online Access:https://mendel-journal.org/index.php/mendel/article/view/16
Description
Summary:This paper focuses on the possibilities of multidimensional genetic algorithms and relevant genetic operators. After the literature overview we used a three-dimensional genetic algorithm to solve a combinatorial task called Kirkman’s Schoolgirl Problem. The first results were not good, but we improved convergence of an algorithm by adding more genetic operators. We also used problem dependent mutation, where we tried to repair the incorrect solution by using the simple heuristic method. Finally, we got a solid number of correct solutions, but we know there is enough room for other improvements.
ISSN:1803-3814
2571-3701