New lower bounds for the three-dimensional orthogonal bin packing problem
نویسندگان
چکیده
منابع مشابه
New Lower Bounds for the Three-dimensional Orthogonal Bin Packing Problem
In this paper, we consider the three-dimensional orthogonal bin packing problem, which is a generalization of the well-known bin packing problem. We present new lower bounds for the problem and demonstrate that they improve the best previous results. The asymptotic worst-case performance ratio of the lower bounds is also proved. In addition, we study the non-oriented model, which allows items t...
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The Two-Dimensional Finite Bin Packing Problem (2BP) consists of determining the minimum number of large identical rectangles, bins, that are required for allocatingwithout overlapping a given set of rectangular items. The items are allocated into a bin with their edges always parallel or orthogonal to the bin edges. The problem is strongly NP-hard and finds many practical applications. In this...
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The problem addressed in this paper is that of orthogonally packing a given set of rectangular-shaped items into the minimum number of three-dimensional rectangular bins. The problem is strongly NP-hard and extremely diicult to solve in practice. Lower bounds are discussed, and it is proved that the asymptotic worst-case performance ratio of the continuous lower bound is 1 8. An exact algorithm...
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2013
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2012.10.024