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Application of Latin Hypercube Sampling in the Immune Genetic Algorithm for Solving the Maximum Clique Problem

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6320))

Abstract

Based on Latin Hypercube Sampling method, the crossover operation in GA is redesigned; combined with immune mechanism, chromosome concentration is defined and clonal selection strategy is designed, thus an Immune Genetic Algorithm is given based on Latin Hypercube Sampling for solving the Maximum Clique Problem in this paper. The examples shows the new algorithm in solution quality, convergence speed, and other indicators is better than the classical genetic algorithm and good point set genetic algorithm. On the other hand, the new algorithm is not inferior to such classical algorithms as dynamic local search, and it got better solutions to some examples.

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References

  1. Pullan, W., Hoos, H.H.: Dynamic Local Search for the Maximum Clique Problem. Journal of Artificial Intelligence Research 25, 159–185 (2006)

    MATH  Google Scholar 

  2. Singh, A., Gupta, A.K.: A hybrid heuristic for the maximum clique problem. Journal of Heuristics 12, 5–22 (2006)

    Article  MATH  Google Scholar 

  3. Balas, E., Niehaus, W.: Optimized Crossover-Based Genetic Algorithms for the Maximum Cardinality and Maximum Weight Clique Problems. Journal of Heuristics 4, 107–122 (1998)

    Article  MATH  Google Scholar 

  4. Zhang, L., Zhang, B.: Research on the Mechanism of Genetic Algorithms. Journal of Software 7, 945–952 (2000) (chinese)

    Google Scholar 

  5. Zhang, L., Zhang, B.: Good point set based genetic algorithm. Chinese Journal of Computers 9, 917–922 (2001) (chinese)

    MathSciNet  Google Scholar 

  6. Chen, M.-h., Ren, Z., Zhou, B.-d.: Solving 2-way graph partitioning problem using genetic algorithm based on latin hypercube sampling. Control Theory & Applications 8, 927–930 (2009) (chinese)

    Google Scholar 

  7. Stein, M.: Large sample properties of simulations using Latin hypercube sampling. Technometrics 2, 143–151 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  8. Owen, A.B.: A central limit theorem for Latin hypercube sampling. Journal of the Royal Statistical Society 54(B), 541–551 (1992)

    MathSciNet  MATH  Google Scholar 

  9. Stepney, et al.: Conceptual Frameworks for Artificial Immune Systems. Journal of Unconventional computing 1 (2005)

    Google Scholar 

  10. Li, Z., Cheng, J.: Immune good- point set genetic algorithm. Computer Engineering and Applications 28, 37–40 (2007) (chinese)

    Google Scholar 

  11. Bin, J.: Basic Research on Artificial Immune Algorithm and Its Application, Central South University (March 2008) (chinese)

    Google Scholar 

  12. [EB/OL] (2009-07-15), ftp://dimacs.rutgers.edu/pub/challeng/

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Benda, Z., Minghua, C. (2010). Application of Latin Hypercube Sampling in the Immune Genetic Algorithm for Solving the Maximum Clique Problem. In: Wang, F.L., Deng, H., Gao, Y., Lei, J. (eds) Artificial Intelligence and Computational Intelligence. AICI 2010. Lecture Notes in Computer Science(), vol 6320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16527-6_18

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  • DOI: https://doi.org/10.1007/978-3-642-16527-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16526-9

  • Online ISBN: 978-3-642-16527-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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