Lower Bounds for Several Online Variants of Bin Packing

János Balogh; József Békési; György Dósa; Leah Epstein; Asaf Levin

doi:10.1007/s00224-019-09915-1

Lower Bounds for Several Online Variants of Bin Packing

János Balogh, József Békési, György Dósa, Leah Epstein, Asaf Levin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a method of fully adaptive constructions. In particular, we improve the lower bound for the asymptotic competitive ratio of online square packing significantly, raising it from roughly 1.68 to above 1.75.

Original language	English
Pages (from-to)	1757-1780
Number of pages	24
Journal	Theory of Computing Systems
Volume	63
Issue number	8
DOIs	https://doi.org/10.1007/s00224-019-09915-1
State	Published - 1 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Bin packing
Competitive ratio
Lower bounds
Online algorithms

ASJC Scopus subject areas

Theoretical Computer Science
Computational Theory and Mathematics

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10.1007/s00224-019-09915-1

Cite this

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AU - Levin, Asaf

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KW - Online algorithms

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Lower Bounds for Several Online Variants of Bin Packing

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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