期刊
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
卷 18, 期 1, 页码 63-88出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1008743711658
关键词
combinatorial optimization; cutting problems; dynamic programming; knapsack problem; optimality
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 [Gilmore and Gomory, Operations Research, vol. 13, pp. 94-119, 1965]. 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.
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