A Hybrid Genetic Algorithm for School Timetabling
Purchase on Springer.com
$29.95 / €24.95 / £19.95*
* Final gross prices may vary according to local VAT.
Hybrid Genetic Algorithms apply so called hybrid or repair operators or include problem specific knowledge about the problem domain in their mutation and crossover operators. These operators use local search to repair or avoid illegal or unsuitable assignments or just to improve the quality of the solutions already found.
Those Hybrid Genetic Algorithms have been successfully applied to different constraint satisfaction and timetabling problems such as the travelling salesman problem, scheduling problems, employee timetabling or high school timetabling.
In this paper we describe a Genetic Algorithm for solving the German school timetabling problem. The Genetic Algorithm uses direct representation of the problem and applies an adapted mutation operator as well as several specific repair operators. We redecode the computed improvements to the genotype which establishes a kind of Lamarckian evolution. One of the problems utilising these hybrid operators is how and when to apply them, i.e. how to set the parameters right to achieve the best results. Different approaches have been started to adjust these parameters in an optimal way, but in most cases these adjustments require additional computing time and consequently are quite costly. We tackled this problem by an adaptation mechanism for the repair operators which can be applied without additional computing time. These operators are switched on when the normal Genetic Algorithm does not yield any more improvements. When the Genetic Algorithm then converges again, a reconfiguration step for the operator parameters guides the search out of the local optimum.
- M. Bufé et al., “Automated Solution of a Highly Constrained School Timetabling Problem — Preliminary Results”, Proceedings of the EvoWorkshops 2001, ed. E. J. W. Boers et al., pp. 431–440, Springer, 2001.
- E. Burke and D. Elliman and R. Weare, “Specialised Recombinative Operators for Timetabling Problems”, in Proceedings of the AISB (AI and Simulated Behaviour) Workshop on Evolutionary Computing, pp. 75–85, Springer, 1995.
- P. Cowling and G. Kendall and E. Soubeiga, “Hyperheuristics: A Tool for Rapid Prototyping in Scheduling and Optimisation”, Proceedings of the EvoWorkshops 2002, ed. St. Cagnoni et al., pp. 1–10, Springer, 2002.
- C. Di Stefano and A. G. B. Tettamanzi, “An Evolutionary Algorithm for Solving the School Timetabling Problem”, Proceedings of the EvoWorkshops 2001, ed. E. J. W. Boers et al., pp. 452–462, Springer, 2001.
- C. Fernandes and J. P. Caldeira and F. Melicio and A. Rosa, “High School Weekly Timetabling by Evolutionary Algorithms”, in Proceedings of 14th Annual Acm Symposium On Applied Computing, San Antonio, Texas, 1999.
- J. P. Caldeira and A. C. Rosa, “School Timetabling using Genetic Search”, Proceedings of the Second International Conference on the Practice and Theory of Automated Timetabling, 1997.
- D. E. Goldberg, “Genetic Algorithms in Search, Optimization and Machine Learning”, Addison-Wesley, Reading, 1989.
- M. Gröbner and P. Wilke, “Optimizing Employee Schedules by a Hybrid Genetic Algorithm”, Proceedings of the EvoWorkshops 2001, ed. E. J. W. Boers et al., pp. 463–472, Springer, 2001.
- M. Gröbner and P. Wilke, “A General View on Timetabling Problems”, Proceedings of the 4th International Conference on the Practice and Theory of Automated Timetabling, ed. E. Burke and P. De Causmaecker pp. 221–227, 2002.
- E. Lamma and L. M. Pereira and F. Riguzzi, “Belief Revision by Lamarckian Evolution” Proceedings of the EvoWorkshops 2001, ed. E. J. W. Boers et al., pp. 404–413, Springer, 2001.
- N. Oster, “Stundenplanerstellung für Schulen mit Evolutionären Verfahren”, Thesis, Universität Erlangen-Nürnberg, July 2001.
- R. Weare and E. Burke and D. Elliman, “A Hybrid Genetic Algorithm for Highly Constrained Timetabling Problems”, in Proceedings of the Sixth International Conference on Genetic Algorithms, ed. L. J. Eshelman, pp. 605–610, Pittsburg, Morgan Kaufmann, 1995.
- D. Whitley and V. S. Gordon and K. Mathias, “Lamarckian Evolution, The Baldwin Effect and Function Optimization”, in Proceedings of the Third International Workshop on Parallel ProblemSolving fromNature, ed.s H.-P. Schwefel and R. Männer, Springer-Verlag, 1994.
- A Hybrid Genetic Algorithm for School Timetabling
- Book Title
- AI 2002: Advances in Artificial Intelligence
- Book Subtitle
- 15th Australian Joint Conference on Artificial Intelligence Canberra, Australia, December 2–6, 2002 Proceedings
- pp 455-464
- Print ISBN
- Online ISBN
- Series Title
- Lecture Notes in Computer Science
- Series Volume
- Series ISSN
- Springer Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- Additional Links
- Evolutionary Algorithms
- Industry Sectors
- eBook Packages
- Editor Affiliations
- 1. Australian Defence Force Academy, University of New South Wales
- 2. Computer Science Laboratory, Australian National University
- Author Affiliations
- 5. Centre for Intelligent Information Processing Systems (CIIPS) Dept. of Electrical & Electronic Engineering, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia
- 6. Lehrstuhl für Programmiersprachen und Programmiermethodik, Universität Erlangen-Nürnberg, Martensstrasse 3, 91058, Erlangen, Germany
To view the rest of this content please follow the download PDF link above.