Ye, Deshi and Zhang, Guochuan - On-line extensible bin packing with unequal bin sizes

dmtcs:472 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, Vol. 11 no. 1
On-line extensible bin packing with unequal bin sizes

Authors: Ye, Deshi and Zhang, Guochuan

In the extensible bin packing problem we are asked to pack a set of items into a given number of bins, each with an original size. However, the original bin sizes can be extended if necessary. The goal is to minimize the total size of the bins. We consider the problem with unequal (original) bin sizes and give the complete analysis on a list scheduling algorithm (LS). Namely we present tight bounds of LS for every collection of original bin sizes and every number of bins. We further show better on-line algorithms for the two-bin case and the three-bin case. Interestingly, it is proved that the on-line algorithms have better competitive ratios for unequal bins than for equal bins. Some variants of the problem are also discussed.


Source : oai:HAL:hal-00988178v1
Volume: Vol. 11 no. 1
Section: Analysis of Algorithms
Published on: January 1, 2009
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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