Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing
نویسندگان
چکیده
منابع مشابه
Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing
In this paper, we study 1-space bounded multi-dimensional bin packing and hypercube packing. A sequence of items arrive over time, each item is a d-dimensional hyperbox (in bin packing) or hypercube (in hypercube packing), and the length of each side is no more than 1. These items must be packed without overlapping into d-dimensional hypercubes with unit length on each side. In d-dimensional sp...
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In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items) arrive one by one, each item must be packed into a square bin of unit size on its arrival without any information about future items. When packing items, 90◦-rotation is allowed. 1-space bounded means there is only one “active” bin. If the “active” bin cannot acco...
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In hypercube packing, we receive a sequence of hypercubes that need to be packed into unit hypercubes which are called bins. Items arrive online and each item must be placed within its bin without overlapping with other items in that bin. The goal is to minimize the total number of bins used. We present lower and upper bounds for online bounded space hypercube packing in dimensions 2,...,7. 200...
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In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items, respectively) arrive over time, which must be packed into square bins of size 1×1. 90-rotation of an item is allowed. When an item arrives, we must pack it into an active bin immediately without any knowledge of the future items. The objective is to minimize the t...
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We study on-line bounded space bin-packing in the resource augmentation model of competitive analysis. In this model, the on-line bounded space packing algorithm has to pack a list L of items with sizes in (0, 1], into a minimum number of bins of size b, b ≥ 1. A bounded space algorithm has the property that it only has a constant number of active bins available to accept items at any point dur...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Optimization
سال: 2012
ISSN: 1382-6905,1573-2886
DOI: 10.1007/s10878-012-9457-z