An improved best-first branch and bound algorithm for unconstrained two-dimensional cutting problems

An improved best-first branch and bound algorithm for unconstrained two-dimensional cutting problems

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Article ID: iaor20063628
Country: South Korea
Volume: 30
Issue: 4
Start Page Number: 61
End Page Number: 70
Publication Date: Dec 2005
Journal: Journal of the Korean ORMS Society
Authors: , ,
Keywords: cutting stock, programming: branch and bound
Abstract:

In this paper, we develop an improved branch and bound algorithm for the (un)weighted unconstrained two-dimensional cutting problem. In the proposed algorithm, we improve the branching strategies of the existing exact algorithm and reduce the size of problem by removing the dominated pieces from the problem. We apply the newly proposed definition of dominated cutting pattern and it can reduce the number of nodes that must be searched during the algorithm procedure. The efficiency of the proposed algorithm is presented through comparison with the exact algorithm known as the most efficient.

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