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

Technion - Israel Institute of Technology, University of Haifa

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

Keywords

Bin packing
Competitive ratio
Lower bounds
Online algorithms

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computational Theory and Mathematics

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10.1007/s00224-019-09915-1

Cite this

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title = "Lower Bounds for Several Online Variants of Bin Packing",

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.",

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AU - Békési, József

AU - Dósa, György

AU - Epstein, Leah

AU - Levin, Asaf

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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.

AB - 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.

KW - Bin packing

KW - Competitive ratio

KW - Lower bounds

KW - Online algorithms

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DO - 10.1007/s00224-019-09915-1

M3 - مقالة

SN - 1432-4350

VL - 63

SP - 1757

EP - 1780

JO - Theory of Computing Systems

JF - Theory of Computing Systems

IS - 8

ER -

Lower Bounds for Several Online Variants of Bin Packing

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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