منابع مشابه
Improved Online Square-into-Square Packing
In this paper, we show an improved bound and new algorithm for the online square-into-square packing problem. This twodimensional packing problem involves packing an online sequence of squares into a unit square container without any two squares overlapping. The goal is to find the largest area α such that any set of squares with total area α can be packed. We show an algorithm that can pack an...
متن کاملImproved Bound for Online Square-into-Square Packing
We show a new algorithm and improved bound for the online square-into-square packing problem using a hybrid shelf-packing approach. This 2-dimensional packing problem involves packing an online sequence of squares into a unit square container without any two squares overlapping. We seek the largest area α such that any set of squares with total area at most α can be packed. We show an algorithm...
متن کاملAlmost Online Square Packing
In the square packing problem, the goal is to pack squares of different sizes into the smallest number of bins (squares) of uniform size. We introduce an almostonline square packing algorithm which places squares in an online, sequential manner. In doing so, it receives advice of logarithmic size from an offline oracle which runs in linear time. Our algorithm achieve a competitive ratio of at m...
متن کاملOnline Square Packing
We analyze the problem of packing squares in an online fashion: Given a semi-infinite strip of width 1 and an unknown sequence of squares of side length in [0, 1] that arrive from above, one at a time. The objective is to pack these items as they arrive, minimizing the resulting height. Just like in the classical game of Tetris, each square must be moved along a collision-free path to its final...
متن کامل2 Ja n 20 14 Improved Online Square - into - Square Packing ⋆ Brian
In this paper, we show an improved bound and new algorithm for the online square-into-square packing problem. This twodimensional packing problem involves packing an online sequence of squares into a unit square container without any two squares overlapping. The goal is to find the largest area α such that any set of squares with total area α can be packed. We show an algorithm that can pack an...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2016
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-016-0114-2