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Algorithms for the circular open dimension problem

Author

Listed:
  • Hakim Akeb

    (UPJV - Université de Picardie Jules Verne, ISC Paris - Institut Supérieur du Commerce de Paris)

  • Mhand Hifi

    (UPJV - Université de Picardie Jules Verne, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we propose three algorithms for approximately solving the circular open dimension problem, known also as the circular strip cutting/ packing problem. We first propose an open strip generation solution procedure that uses the best local position rule into the open strip. Second, we propose a simple augmented version of the first algorithm by introducing an exchange-order strategy. Third, we propose a hybrid algorithm that combines beam search and a series of target values belonging to a predetermined interval search. We evaluate the performance of these algorithms on several instances varying from small to large ones. Encouraging results have been obtained.

Suggested Citation

  • Hakim Akeb & Mhand Hifi, 2007. "Algorithms for the circular open dimension problem," Post-Print halshs-00188289, HAL.
    • Handle: RePEc:hal:journl:halshs-00188289
    as

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