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Algorithms for the circular open dimension problem

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Author Info
Hakim Akeb (Institut Supérieur du Commerce et Université de Picardie)
Mhand Hifi () (Université 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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/2007059B.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b07059.

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Length: 21 pages
Date of creation: Nov 2007
Date of revision:
Handle: RePEc:mse:cesdoc:b07059

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: Beam search best local position dichotomous search strip cutting/packing open dimension.

Find related papers by JEL classification:
C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Statistical Decision Theory; Operations Research
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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This page was last updated on 2008-9-17.


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