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Local search for Hamiltonian Path with applications to clustering visitation paths

Author

Listed:
  • R Torres-Velázquez

    (PHI Investigación Operativa para la alta Dirección de Empresas SA de CV, Av. Acoxpa 524-506A, Col. Prados Coapa)

  • V Estivill-Castro

    (Griffith University)

Abstract

Clustering a data array has been found useful in the design of web-sites and distributed database system. We show that a critical step during this clustering process is related to solving the Longest Hamiltonian Path Problem, a well known NP-complete problem. Using the grouping of visitation paths of web-users as a case study, we test several heuristic algorithms. As a result of our experiments, we identify a successful method for dealing with this problem. Our algorithm spends less CPU time and provides better quality solutions than the most recent approach.

Suggested Citation

  • R Torres-Velázquez & V Estivill-Castro, 2004. "Local search for Hamiltonian Path with applications to clustering visitation paths," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 737-748, July.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:7:d:10.1057_palgrave.jors.2601770
    DOI: 10.1057/palgrave.jors.2601770
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    2. G. A. Croes, 1958. "A Method for Solving Traveling-Salesman Problems," Operations Research, INFORMS, vol. 6(6), pages 791-812, December.
    3. S Lozano & B Adenso-Díaz & I Eguia & L Onieva, 1999. "A one-step tabu search algorithm for manufacturing cell design," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(5), pages 509-516, May.
    4. William T. McCormick & Paul J. Schweitzer & Thomas W. White, 1972. "Problem Decomposition and Data Reorganization by a Clustering Technique," Operations Research, INFORMS, vol. 20(5), pages 993-1009, October.
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    Cited by:

    1. R Bhatnagar & V Saddikuti, 2010. "Models for cellular manufacturing systems design: matching processing requirements and operator capabilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 827-839, May.

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