Adaptive beam search solution procedures for constained circular cutting problems

Hakim Akeb and Mhand Hifi ()
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Hakim Akeb: UPJV - Université de Picardie Jules Verne
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

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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.

Keywords: Hill-Climbing; Approximate algorithms; beam search; best local position; cutting stock; Hill-Climbing.; Algorithmes approchées; recherche par faisceaux; meilleure position; problème de découpe (search for similar items in EconPapers)
Date: 2007-11
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Published in 2007

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00187843

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