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Description
  • In the bin packing problem we are given an instance consisting of a sequence of items with sizes between 0 and 1. The objective is to pack these items into the smallest possible number of bins of unit size. FirstFit algorithm packs each item into the first bin where it fits, possibly opening a new bin if the item cannot fit into any currently open bin. In early seventies it was shown that the asymptotic approximation ratio of FirstFit bin packing is equal to 1.7. We prove that also the absolute approximation ratio for FirstFit bin packing is exactly 1.7.
  • In the bin packing problem we are given an instance consisting of a sequence of items with sizes between 0 and 1. The objective is to pack these items into the smallest possible number of bins of unit size. FirstFit algorithm packs each item into the first bin where it fits, possibly opening a new bin if the item cannot fit into any currently open bin. In early seventies it was shown that the asymptotic approximation ratio of FirstFit bin packing is equal to 1.7. We prove that also the absolute approximation ratio for FirstFit bin packing is exactly 1.7. (en)
Title
  • First Fit bin packing: A tight analysis
  • First Fit bin packing: A tight analysis (en)
skos:prefLabel
  • First Fit bin packing: A tight analysis
  • First Fit bin packing: A tight analysis (en)
skos:notation
  • RIV/00216208:11320/13:10190764!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GBP202/12/G061), P(IAA100190902)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 75178
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10190764
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • online algorithms; bin packing; First Fit (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [6AA0A61FCB82]
http://linked.open...v/mistoKonaniAkce
  • Kiel
http://linked.open...i/riv/mistoVydani
  • Dagstuhl, Germany
http://linked.open...i/riv/nazevZdroje
  • 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
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  • Sgall, Jiří
  • Dósa, Gyorgy
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 1868-8969
number of pages
http://bibframe.org/vocab/doi
  • 10.4230/LIPIcs.STACS.2013.538
http://purl.org/ne...btex#hasPublisher
  • Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
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  • 978-3-939897-50-7
http://localhost/t...ganizacniJednotka
  • 11320
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