Online cardinality constrained scheduling

Leah Epstein; Alexandra Lassota; Asaf Levin; Marten Maack; Lars Rohwedder

doi:10.1016/j.orl.2023.08.003

Online cardinality constrained scheduling

Leah Epstein
, Alexandra Lassota
, Asaf Levin
, Marten Maack
, Lars Rohwedder

Department of Mathematics

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

Abstract

In online load balancing problems, jobs arrive over a list. Upon arrival of a job, the algorithm is required to assign it immediately and irrevocably to a machine. We consider such a makespan minimization problem with an additional cardinality constraint, i.e., at most k jobs may be assigned to each machine, where k is a parameter of the problem. We present both upper and lower bounds on the competitive ratio of online algorithms for this problem with identical machines.

Original language	English
Pages (from-to)	533-539
Number of pages	7
Journal	Operations Research Letters
Volume	51
Issue number	5
DOIs	https://doi.org/10.1016/j.orl.2023.08.003
State	Published - Sep 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Competitive analysis
Load balancing
Online algorithms
Scheduling

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

Access to Document

10.1016/j.orl.2023.08.003

Cite this

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abstract = "In online load balancing problems, jobs arrive over a list. Upon arrival of a job, the algorithm is required to assign it immediately and irrevocably to a machine. We consider such a makespan minimization problem with an additional cardinality constraint, i.e., at most k jobs may be assigned to each machine, where k is a parameter of the problem. We present both upper and lower bounds on the competitive ratio of online algorithms for this problem with identical machines.",

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AU - Levin, Asaf

AU - Maack, Marten

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AB - In online load balancing problems, jobs arrive over a list. Upon arrival of a job, the algorithm is required to assign it immediately and irrevocably to a machine. We consider such a makespan minimization problem with an additional cardinality constraint, i.e., at most k jobs may be assigned to each machine, where k is a parameter of the problem. We present both upper and lower bounds on the competitive ratio of online algorithms for this problem with identical machines.

KW - Competitive analysis

KW - Load balancing

KW - Online algorithms

KW - Scheduling

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M3 - Article

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ER -

Online cardinality constrained scheduling

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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