Online strip packing with modifiable boxes
نویسنده
چکیده
منابع مشابه
On the effectiveness of the Harmonic Shelf Algorithm for on-line strip packing
In [J. Csirik, G.J. Woeginger, An on-line algorithm for multidimensional bin packing, Inform. Process. Lett. 63 (1997) 171–175] the authors study the asymptotic worst case ratio between the height of the strip needed to on-line pack a list of boxes by means of the Harmonic Shelf Algorithm and the height of the strip used by an optimal algorithm. In this note we analyze the effectiveness of the ...
متن کاملStrip Packing vs. Bin Packing
In this paper we establish a general algorithmic framework between bin packing and strip packing, with which we achieve the same asymptotic bounds by applying bin packing algorithms to strip packing. More precisely we obtain the following results: (1) Any offline bin packing algorithm can be applied to strip packing maintaining the same asymptotic worst-case ratio. Thus using FFD (MFFD) as a su...
متن کاملA tight Analysis of Brown-Baker-Katseff Sequences for Online Strip Packing
We study certain adversary sequences for online strip packing which were first designed and investigated by Brown, Baker and Katseff (Acta Inform. 18:207– 225) and determine the optimal competitive ratio for packing such Brown-BakerKatseff sequences online. As a byproduct of our result, we get a new lower bound of ρ ≥ 3/2 +√33/6 ≈ 2.457 for the competitive ratio of online strip packing.
متن کاملNew Upper Bounds on The Approximability of 3D Strip Packing
In this paper, we study the 3D strip packing problem in which we are given a list of 3dimensional boxes and required to pack all of them into a 3-dimensional strip with length 1 and width 1 and unlimited height to minimize the height used. Our results are below: i) we give an approximation algorithm with asymptotic worst-case ratio 1.69103, which improves the previous best bound of 2 + ǫ by Jan...
متن کاملLNCS 7164 - Improved Lower Bound for Online Strip Packing
In the two-dimensional strip packing problem a number of rectangles have to be packed without rotation or overlap into a strip such that the height of the strip used is minimal. The width of the rectangles is bounded by 1 and the strip has width 1 and infinite height. We study the online version of this packing problem. In the online version the rectangles are given to the online algorithm one ...
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عنوان ژورنال:
- Oper. Res. Lett.
دوره 29 شماره
صفحات -
تاریخ انتشار 2001