Probabilistic analysis of algorithms for dual bin packing problems
نویسندگان
چکیده
منابع مشابه
Probabilistic Analysis of Algorithms for Dual Bin Packing Problems
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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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 [0,1], and reveal the conne...
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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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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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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 1991
ISSN: 0196-6774
DOI: 10.1016/0196-6774(91)90001-f