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An immune algorithm with stochastic aging and kullback entropy for the chromatic number problem

Author

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  • Vincenzo Cutello

    (University of Catania)

  • Giuseppe Nicosia

    (University of Catania)

  • Mario Pavone

    (University of Catania)

Abstract

We present a new Immune Algorithm, IMMALG, that incorporates a Stochastic Aging operator and a simple local search procedure to improve the overall performances in tackling the chromatic number problem (CNP) instances. We characterize the algorithm and set its parameters in terms of Kullback Entropy. Experiments will show that the IA we propose is very competitive with the state-of-art evolutionary algorithms.

Suggested Citation

  • Vincenzo Cutello & Giuseppe Nicosia & Mario Pavone, 2007. "An immune algorithm with stochastic aging and kullback entropy for the chromatic number problem," Journal of Combinatorial Optimization, Springer, vol. 14(1), pages 9-33, July.
    • Handle: RePEc:spr:jcomop:v:14:y:2007:i:1:d:10.1007_s10878-006-9036-2
    DOI: 10.1007/s10878-006-9036-2
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    References listed on IDEAS

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    1. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1991. "Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning," Operations Research, INFORMS, vol. 39(3), pages 378-406, June.
    2. de Werra, D., 1985. "An introduction to timetabling," European Journal of Operational Research, Elsevier, vol. 19(2), pages 151-162, February.
    3. Anuj Mehrotra & Michael A. Trick, 1996. "A Column Generation Approach for Graph Coloring," INFORMS Journal on Computing, INFORMS, vol. 8(4), pages 344-354, November.
    4. Philippe Galinier & Jin-Kao Hao, 1999. "Hybrid Evolutionary Algorithms for Graph Coloring," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 379-397, December.
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    Cited by:

    1. Mario Pavone & Giuseppe Narzisi & Giuseppe Nicosia, 2012. "Clonal selection: an immunological algorithm for global optimization over continuous spaces," Journal of Global Optimization, Springer, vol. 53(4), pages 769-808, August.
    2. Xiao-Feng Xie & Jiming Liu, 2009. "Graph coloring by multiagent fusion search," Journal of Combinatorial Optimization, Springer, vol. 18(2), pages 99-123, August.

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