English

Colored Bin Packing

Data Structures and Algorithms 2015-09-01 v1

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.

Keywords

Cite

@article{arxiv.1508.07380,
  title  = {Colored Bin Packing},
  author = {Hamza Alsarhan and Davin Chia and Ananya Christman and Shannia Fu and Tony Jin},
  journal= {arXiv preprint arXiv:1508.07380},
  year   = {2015}
}
R2 v1 2026-06-22T10:44:09.203Z