Resource augmentation for online bounded space bin packing

János Csirik, Gerhard J. Woeginger

Research output: Article

21 Citations (Scopus)


We study online bounded space bin packing in the resource augmentation model of competitive analysis. In this model, the online bounded space packing algorithm has to pack a list L of items in (0, 1) into a small number of bins of size b ≥1. Its performance is measured by comparing the produced packing against the optimal offline packing of the list L into bins of size 1. We present a complete solution to this problem: For every bin size b ≥ 1, we design online bounded space bin packing algorithms whose worst case ratio in this model comes arbitrarily close to a certain bound ρ(b). Moreover, we prove that no online bounded space algorithm can perform better than ρ(b) in the worst case.

Original languageEnglish
Pages (from-to)308-320
Number of pages13
JournalJournal of Algorithms
Issue number2
Publication statusPublished - aug. 1 2002

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Computational Theory and Mathematics

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