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Adaptive beam search solution procedures for constrained circular cutting problems

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Abstract

In this paper, we study the constrained circular cutting problem whose objective is to cut a set of circular pieces into a rectangular plate R of dimensions L × W. Each piece's type i, i = 1, …, m is caracterized by its radius r(i) and its demand b(i). This problem is solved using an adaptive algorithm that combines beam search and various Hill-Climbing strategies. Decisions at each node of the truncated tree are based on the so-called best local position. The computational results show, on a set of problem instances of the literature, the effectiveness of the proposed algorithm.

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  • Hakim Akeb & Mhand Hifi, 2007. "Adaptive beam search solution procedures for constrained circular cutting problems," Documents de travail du Centre d'Economie de la Sorbonne b07052, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:b07052
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/2007052B.pdf
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    Keywords

    Approximate algorithms; beam search; best local position; cutting stock; Hill-Climbing.;

    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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