Abstract
We study the following variant of the bin packing problem. We are given a set of items, where each item has a (non-negative) size and a color. We are also given an integer parameter k, and the goal is to partition the items into a minimum number of subsets such that for each subset S in the solution, the total size of the items in S is at most 1 (as in the classical bin packing problem) and the total number of colors of the items in S is at most k (which distinguishes our problem from the classical version). We follow earlier work on this problem and study the problem in both offline and online scenarios.
Original language | English |
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Pages (from-to) | 3073-3089 |
Number of pages | 17 |
Journal | Theoretical Computer Science |
Volume | 411 |
Issue number | 34-36 |
DOIs | |
State | Published - 17 Jul 2010 |
Bibliographical note
Funding Information:This research was partially supported by the Hungarian National Foundation for Scientific Research, Grant F048587. E-mail addresses: [email protected] (L. Epstein), [email protected] (C. Imreh), [email protected] (A. Levin).
Keywords
- AFPTAS
- Bin packing
- Online algorithms
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science