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Genetic Algorithms: A New Approach to the Timetable Problem

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Combinatorial Optimization

Part of the book series: NATO ASI Series ((NATO ASI F,volume 82))

Abstract

In this paper we present the results of a research relative to the ascertainment of limits and potentials of genetic algorithms [4, 3, 6] in addressing highly constrained optimization problems, where a minimal change to a feasible solution is very likely to yield an infeasible one. As a test problem, we have chosen the timetable problem (TTP), a problem that is known to be NP-hard [5], which has been intensively investigated for its practical relevance [2, 1]

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References

  1. Chahal, N., and D. deWerra. An interactive system for constructing timetables on a PC. European Journal of Operational Research, 40 (1), 1989.

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  3. De Jong, K. A.,and W. M. Spears. Using genetic algorithms to solve NP-complete problems. Proc. 3rd Int. Conference on Genetic Algorithms and Their Applications, George Mason University, June 1989.

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  4. M. Dorigo. Genetic algorithms:The state of the art and some research proposal. Technical Report No. 89–058, Polytecnico di Milano, Italy, 1989.

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  5. Even, S., A. Itai, and A. Shamir. On the complexity of timetable and multicommodity flow problems. SIAM Journal of Computing, 5 (4), December 1976.

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  6. D. E. Goldberg. Genetic Algorithms in Search, Optimization and Machine Learning,Addison-Wesley, 1989.

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  7. H. Mühlenbein. Parallel genetic algorithms, population genetics and combinatorial optimization. Proc. 3rd Int. Conference on Genetic Algorithms an Their Application, George Mason University, June 1989.

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© 1992 Springer-Verlag Berlin Heidelberg

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Colorni, A., Dorigo, M., Maniezzo, V. (1992). Genetic Algorithms: A New Approach to the Timetable Problem. In: Akgül, M., Hamacher, H.W., Tüfekçi, S. (eds) Combinatorial Optimization. NATO ASI Series, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77489-8_14

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  • DOI: https://doi.org/10.1007/978-3-642-77489-8_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77491-1

  • Online ISBN: 978-3-642-77489-8

  • eBook Packages: Springer Book Archive

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