Online algorithms for a dual version of bin packing
نویسندگان
چکیده
منابع مشابه
Online algorithms with advice for the dual bin packing problem
This paper studies the problem of maximizing the number of items packed into n bins, known as the dual bin packing problem, in the advice per request model. In general, no online algorithm has a constant competitive ratio for this problem. An online algorithm with 1 bit of advice per request is shown to be 3/2-competitive. Next, for 0 < ε < 1/2, an online algorithm with advice that is (1/(1− ε)...
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The relative worst-order ratio is a measure of the quality of online algorithms. In contrast to the competitive ratio, this measure compares two online algorithms directly instead of using an intermediate comparison with an optimal offline algorithm. In this paper, we apply the relative worst-order ratio to online algorithms for several common variants of the bin packing problem. We mainly cons...
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Recently, Renault (2016) studied the dual bin packing problem in the per-request advice model of online algorithms. He showed that given O(1/ǫ) advice bits for each input item allows approximating the dual bin packing problem online to within a factor of 1 + ǫ. Renault asked about the advice complexity of dual bin packing in the tape-advice model of online algorithms. We make progress on this q...
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There appear to be two versions of the Dual Bin Packing problem in the literature. In addition, one of the versions has a counterpart in the cutting stock literature, known as the Skiving Stock Problem. This paper outlines branch-andprice algorithms for both. We introduce combinatorial upper bounds and well-performing heuristics from the literature in the branch-and-price framework. Extensive c...
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In the dual bin packing problem, the objective is to assign items of given size to the largest possible number of bins, subject to the constraint that the total size of the items assigned to any bin is at least equal to 1. We carry out a probabilistic analysis of this problem under the assumption that the items are drawn independently from the uniform distribution on [0, 11 and reveal the conne...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1988
ISSN: 0166-218X
DOI: 10.1016/0166-218x(88)90052-2