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Informed Reactive Tabu Search For Graph Coloring

Author

Listed:
  • DANIEL COSMIN PORUMBEL

    (Univ. Lille-Nord de France, UArtois, LGI2A, Technoparc Futura, 62400 Béthune, France)

  • JIN-KAO HAO

    (Université d'Angers, LERIA, 2 Bd Lavoisier, 49045 Angers, France)

  • PASCALE KUNTZ

    (Université de Nantes, LINA, rue Christian Pauc, 44306 Nantes, France)

Abstract

Tabu search (TS) has always been a very popular algorithm for graph coloring, both as a stand-alone optimizer as well as a subroutine inside population-based hybrid methods. We present two TS extensions that could allow previous TS algorithms to improve their behavior at almost no additional computational cost. First, we integrate two new evaluation functions which employ supplementary (structural or dynamic) information in addition to the conventional objective function (the number of edges with both ends of the same color). These new evaluation functions allow the search process to differentiate configurations not distinguished by the conventional evaluation function. The second extension concerns a reactive mechanism for improving the tabu list management. Theoretical arguments show that this reactive component completely eliminates the risk of getting blocked looping on plateaus. Numerical experiments show that the two proposed TS extensions can be very useful inside a stand-alone TS optimizer, as well as inside TS subroutines of state-of-the-art hybrid methods.

Suggested Citation

  • Daniel Cosmin Porumbel & Jin-Kao Hao & Pascale Kuntz, 2013. "Informed Reactive Tabu Search For Graph Coloring," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-20.
    • Handle: RePEc:wsi:apjorx:v:30:y:2013:i:04:n:s0217595913500103
    DOI: 10.1142/S0217595913500103
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