Online scheduling on two uniform machines subject to eligibility constraints

Document Type

Article

Publication Date

9-6-2009

Abstract

We consider the online scheduling of a set of jobs on two uniform machines with the makespan as objective. The jobs are presented in a list. We consider two different eligibility constraint set assumptions, namely (i) arbitrary eligibility constraints and (ii) Grade of Service (GoS) eligibility constraints. In the first case, we prove that the High Speed Machine First (HSF) algorithm, which assigns jobs to the eligible machine that has the highest speed, is optimal. With regard to the second case, we point out an error in [M. Liu et al., Online scheduling on two uniform machines to minimize the makespan, Theoretical Computer Science 410 (21-23) (2009) 2099-2109]; we then provide tighter lower bounds and present algorithms with worst-case analysis for various ranges of machine speeds. © 2009 Elsevier B.V. All rights reserved.

Identifier

68249084307 (Scopus)

Publication Title

Theoretical Computer Science

External Full Text Location

https://doi.org/10.1016/j.tcs.2009.06.032

ISSN

03043975

First Page

3975

Last Page

3981

Issue

38-40

Volume

410

Grant

DMI-0555999

Fund Ref

National Science Foundation

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