The task is to assign all the items in the input sequence to a minimum number of bins, so that the sum of sizes of items in each bin is at most one. For the bin ...
In this paper we provide an optimal online algorithm for some of the cases when the larger size is at most 1/2, on the basis of a framework that facilitates the ...
We show that for every possible pair of item sizes, there is an algorithm with competitive ratio of at most ( k + 1 ) 2 k 2 + k + 1 .
In this paper we provide an optimal online algorithm for some of the cases when the larger size is at most 1/2, on the basis of a framework that facilitates the ...
Abstract 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.
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NF-based algorithms for online bin packing with buffer and bounded item size ... bin packing algorithm which knows the optimum value in advance. View. Show ...
An item needs to be either packed to a bin or rejected, and the goal is to minimize the number of bins used and the total rejection penalty of unpacked items.
Such were the algorithms REFINED HARMONIC [10], MODIFIED HARMONIC [13], and finally, the current champion, HARMONIC++, given by Seiden [14], which has an upper ...
Apr 15, 2020 · What will A do with the first two items of size 1/2-a? If A places them in different boxes, then A uses 2 boxes, but obviously the optimal ...
May 7, 2022 · In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the minimum number of unit-sized bins.