On-line scheduling on a single machine: maximizing the number of early jobs

Hoogeveen, Han, Potts, Chris N. and Woeginger, Gerhard J. (2000) On-line scheduling on a single machine: maximizing the number of early jobs. Operations Research Letters, 27, (5), 193-197. (doi:10.1016/S0167-6377(00)00061-4).


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This note deals with the scheduling problem of maximizing the number of early jobs on a single machine. We investigate the on-line version of this problem in the Preemption-Restart model. This means that jobs may be preempted, but preempting results in all the work done on this job so far being lost. Thus, if the job is restarted, then it has to be done from scratch.

We prove that the shortest remaining processing time (SRPT) rule yields an on-line algorithm with competitive ratio . Moreover, we show that there does not exist an on-line algorithm with a better performance guarantee.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0167-6377(00)00061-4
ISSNs: 0167-6377 (print)
Related URLs:
Keywords: combinatorial problems, on-line algorithms, competitive analysis, worst-case bounds, single-machine scheduling
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Operational Research
ePrint ID: 29610
Accepted Date and Publication Date:
Date Deposited: 19 Jul 2006
Last Modified: 31 Mar 2016 11:55
URI: http://eprints.soton.ac.uk/id/eprint/29610

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