Skip to main content

Further results on a problem of Knödel concerning the analysis of bin-packing

Part of the Lecture Notes in Mathematics book series (LNM,volume 1452)

Abstract

Assume that inputs of size 1/4, 2/4, 3/4, or 1 might occur with equal probabilities. If they are put into boxes of size 1 by the strategy best fit, there remains some empty space. This quantity has been evaluated asymptotically for n random insertions.

Discussions with Jean-Marc Steyaert are gratefully acknowledged.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.Flajolet and J.Vitter, Average-Case Analysis of Algorithms and Data Structures, in: Handbook of Theoretical Computer Science, North-Holland, to appear 1990.

    Google Scholar 

  2. W. Knödel, Über das mittlere Verhalten von on-line Packungsalgorithmen, EIK 19 (1983), 427–433.

    Google Scholar 

  3. W. Kuich and F. J. Urbanek, Infinite Linear Systems and One Counter Languages, Theor.Comput.Sci. (1983), 95–126.

    Google Scholar 

  4. H. Prodinger, Einige Bemerkungen zu einer Arbeit von W. Knödel über das mittlere Verhalten von on-line-Packungsalgorithmen, EIK 21 (1985), 3–7.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Prodinger, H. (1990). Further results on a problem of Knödel concerning the analysis of bin-packing. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096990

Download citation

  • DOI: https://doi.org/10.1007/BFb0096990

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53408-2

  • Online ISBN: 978-3-540-46864-6

  • eBook Packages: Springer Book Archive