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The Cartographer
Colored Bin Packing
August 29, 2015 Β· Declared Dead Β· π arXiv.org
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Authors
Hamza Alsarhan, Davin Chia, Ananya Christman, Shannia Fu, Tony Jin
arXiv ID
1508.07380
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We study the Colored Bin Packing Problem: we are given a set of items where each item has a weight and color. We must pack the items in bins of uniform capacity such that no two items of the same color may be adjacent within in a bin. The goal is to perform this packing using the fewest number of bins. We consider a version of the problem where reordering is allowed. We first consider the zero-weight and unit weight versions of this problem, i.e. where the items have weight zero and one, respectively. We present linear time optimal algorithms for both versions.
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