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DOI: 10.4230/LIPIcs.FSTTCS.2015.25
URN: urn:nbn:de:0030-drops-56341
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5634/
Roy Choudhury, Anamitra ; Das, Syamantak ; Kumar, Amit
Minimizing Weighted lp-Norm of Flow-Time in the Rejection Model
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Abstract
We consider the online scheduling problem to minimize the weighted ell_p-norm of flow-time of jobs. We study this problem under the rejection model introduced by Choudhury et al. (SODA 2015) - here the online algorithm is allowed to not serve an eps-fraction of the requests. We consider the restricted assignments setting where each job can go to a specified subset of machines. Our main result is an immediate dispatch non-migratory 1/eps^{O(1)}-competitive algorithm for this problem when one is allowed to reject at most eps-fraction of the total weight of jobs arriving. This is in contrast with the speed augmentation model under which no online algorithm for this problem can achieve a competitive ratio independent of p.
BibTeX - Entry
@InProceedings{roychoudhury_et_al:LIPIcs:2015:5634,
author = {Anamitra Roy Choudhury and Syamantak Das and Amit Kumar},
title = {{Minimizing Weighted lp-Norm of Flow-Time in the Rejection Model}},
booktitle = {35th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2015)},
pages = {25--37},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-97-2},
ISSN = {1868-8969},
year = {2015},
volume = {45},
editor = {Prahladh Harsha and G. Ramalingam},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2015/5634},
URN = {urn:nbn:de:0030-drops-56341},
doi = {10.4230/LIPIcs.FSTTCS.2015.25},
annote = {Keywords: online scheduling, flow-time, competitive analysis}
}
| Keywords: | online scheduling, flow-time, competitive analysis | |
| Seminar: | 35th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2015) | |
| Issue date: | 2015 | |
| Date of publication: | 14.12.2015 |
