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Algorithms for the circular open dimension problem

Author

Listed:
  • Hakim Akeb

    (Institut Sup rieur du Commerce et Universit de Picardie)

  • Mhand Hifi

    (Universit de Picardie et Centre d'Economie de la Sorbonne)

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," Documents de travail du Centre d'Economie de la Sorbonne b07059, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:b07059
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    More about this item

    Keywords

    Beam search; best local position; dichotomous search; strip cutting/packing; open dimension;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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