Exact Algorithms for Large-Scale Unconstrained Two and Three Staged Cutting Problems
M. Hifi
Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)
Abstract:
In this paper we propose two exact algorithms for solving both two-staged and three-staged unconstrained (un) weighted cutting problems. The two-staged problem is solved by applying a dynamic programming procedure originally developed by Gilmore and Gomory [10]. The three-staged problem is solved by using a top-down approach combined with a dynamic programming procedure. The performance of the exact algorithms are evaluated on some problem instances of the literature and other hard randomly-generated problem instances (a total of 53 problem instances). A parallel implementation is an important feature of the algorithm used for solving the three-staged version.
Keywords: MATHEMATICS; ECONOMIC MODELS (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Pages: 24 pages
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:1999-26
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