 Approaches to real world two-dimensional cutting problemsEnrico Malaguti, Rosa Medina Durán and Paolo Toth Omega, 2014, vol. 47, issue C, 99-115 Abstract: We consider a real world generalization of the 2-Dimensional Guillotine Cutting Stock Problem arising in the wooden board cutting industry. A set of rectangular items has to be cut from rectangular stock boards, available in multiple formats. In addition to the classical objective of trim loss minimization, the problem also asks for the maximization of the cutting equipment productivity, which can be obtained by cutting identical boards in parallel. We present several heuristic algorithms for the problem, explicitly considering the optimization of both objectives. The proposed methods, including fast heuristic algorithms, Integer Linear Programming models and a truncated Branch and Price algorithm, have increasing complexity and require increasing computational effort. Extensive computational experiments on a set of realistic instances from the industry show that high productivity of the cutting equipment can be obtained with a minimal increase in the total area of used boards. The experiments also show that the proposed algorithms perform extremely well when compared with four commercial software tools available for the solution of the problem. Keywords: 2-Dimensional cutting stock; Column generation; Heuristics (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:47:y:2014:i:c:p:99-115 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2013.08.007 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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