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An island model based ant system with lookahead for the shortest supersequence problem

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Parallel Problem Solving from Nature — PPSN V (PPSN 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1498))

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Abstract

In this paper we introduce an Ant Colony Optimisation (ACO) algorithm for the Shortest Common Supersequence (SCS) problem, which has applications in production system planning, mechanical engineering and molecular biology. The ACO algorithm is used to find good parameters for a heuristic for the SCS problem. An island model with several populations of ants is used for the ACO algorithm. Besides we introduce a lookahead function which makes the decisions of the ants dependent on the state arrived after the decision.

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References

  1. J. Branke, M. Middendorf, and F. Schneider. Improved heuristics and a genetic algorithm for finding short supersequences. OR-Spektrum, 20:39–46, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Bullnheimer, R.F. Hartl, and C. Strauß. Applying the ant system to the vehicle routing problem. In 2nd Int. Conference on Metaheuristics — MIC97, 1997.

    Google Scholar 

  3. M. Dorigo and L.M. Gambardella. Ant-Q: A reinforcement learning approach to the traveling salesman problem. In Proceedings of ML-95, Twelfth Intern. Conf. on Machine Learning, pages 252–260. Morgan Kaufmann, 1995.

    Google Scholar 

  4. M. Dorigo, V. Maniezzo, and A. Colorni. An autocatalytic optimizing process. Technical Report No. 91-016, Politecnico di Milano, Italy, 1991.

    Google Scholar 

  5. M. Dorigo, V. Maniezzo, and A. Colorni. The ant system applied to the quadratic assignment problem. Technical Report No. IRIDIA/94-28, Universite Libre de Bruxelles, Belguim, 1994.

    Google Scholar 

  6. M. Dorigo, V. Maniezzo, and A. Colorni. The ant system: Optimization by a colony of cooperating agents. IEEE Trans. Systems, Man, and Cybernetics — Part B, 26(1):29–41, 1996.

    Article  Google Scholar 

  7. D.E. Foulser, M. Li, and Q. Yang. Theory and algorithms for plan merging. Artificial Intelligence, 57:143–181, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  8. C.B. Fraser. Subsequences and Supersequences of Strings. PhD thesis, Dept. of Computer Science, University of Glasgow, 1995.

    Google Scholar 

  9. C.B. Fraser and R.W. Irving. Approximation algorithms for the shortest common supersequence. Nordic Journal of Computing, 2:303–325, 1995.

    MATH  MathSciNet  Google Scholar 

  10. T. Jiang and M. Li. On the approximation of shortest common supersequences and longest common subsequences. SIAM J. Comput., 24:1122–1139, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  11. U. Kohlmorgen, H. Schmeck, and K. Haase. Experiences with fine-grained parallel algorithms. to appear in Annals of Operations Research, 1997.

    Google Scholar 

  12. M. Middendorf. More on the complexity of common superstring and supersequence problems. Theoret. Comput. Sci., 124:205–228, 1994.

    Article  MathSciNet  Google Scholar 

  13. K.-J. Räihä and E. Ukkonen. The shortest common supersequence problem over binary alphabet is NP-complete. Theoret. Comput. Sci., 16:187–198, 1981.

    Article  MATH  MathSciNet  Google Scholar 

  14. V. G. Timkovsky. Complexity of common subsequence and supersequence problems and related problems. Cybernetics, 25:565–580, 1990.

    Article  Google Scholar 

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Agoston E. Eiben Thomas Bäck Marc Schoenauer Hans-Paul Schwefel

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© 1998 Springer-Verlag Berlin Heidelberg

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Michel, R., Middendorf, M. (1998). An island model based ant system with lookahead for the shortest supersequence problem. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, HP. (eds) Parallel Problem Solving from Nature — PPSN V. PPSN 1998. Lecture Notes in Computer Science, vol 1498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0056911

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  • DOI: https://doi.org/10.1007/BFb0056911

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  • Print ISBN: 978-3-540-65078-2

  • Online ISBN: 978-3-540-49672-4

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