Two-Bounded-Space Bin Packing Revisited

  • Marek Chrobak
  • Jiří Sgall
  • Gerhard J. Woeginger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6942)


We analyze approximation algorithms for bounded-space bin packing by comparing them against the optimal bounded-space packing (instead of comparing them against the globally optimal packing that does not necessarily satisfy the bounded-space constraint). For 2-bounded-space bin packing we construct a polynomial time offline approximation algorithm with asymptotic worst case ratio 3/2, and we show a lower bound of 5/4 for this scenario. We show that no 2-bounded-space online algorithm can have an asymptotic worst case ratio better than 4/3.


Polynomial Time Online Algorithm Large Item Item Size Equitable Partition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Marek Chrobak
    • 1
  • Jiří Sgall
    • 2
  • Gerhard J. Woeginger
    • 3
  1. 1.Department of Computer ScienceUniversity of CaliforniaRiversideUSA
  2. 2.Department of Applied MathematicsCharles UniversityPragueCzech Republic
  3. 3.Department of Mathematics and Computer ScienceTU EindhovenEindhovenThe Netherlands

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