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  Barely random algorithms for multiprocessor scheduling (1998) [6 citations — 1 self]

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by Steve Seiden
Journal of Scheduling
http://www.mpi-sb.mpg.de/~seiden/barely_sched.ps.Z
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Abstract:

We present randomized online algorithms for scheduling on m = 3; : : : ; 7 machines. For two machines, a randomized algorithm achieving a competitive ratio of 4 3 was found by Bartal, Fiat, Karloff and Vohra [3]. These same authors show a matching lower bound. Seiden has presented a randomized algorithm which achieves competitive ratios of 1.55665, 1.65888, 1.73376, 1.78295

Citations

253 Bounds for certain multiprocessing anomalies – Graham - 1966
102 New algorithms for an ancient scheduling problem – Bartal, Fiat, et al. - 1992
74 Better bounds for online scheduling – Albers - 1997
64 A better algorithm for an ancient scheduling problem – Karger, Phillips, et al. - 1996
43 An on-line scheduling heuristic with better worst case ratio than Graham's list scheduling – Galambos, Woeginger - 1993
43 Randomized competitive algorithms for the list update problem – Reingold, Westbrook, et al. - 1994
34 A lower bound for randomized on-line multiprocessor scheduling – Sgall - 1997
29 New lower and upper bounds for on-line scheduling – Chen, Vliet, et al. - 1994
28 A better lower bound for on-line scheduling – Bartal, Karloff, et al. - 1994
25 On the Performance of On-Line Algorithms for Partition Problems – Faigle, Kern, et al. - 1989
23 A lower bound for randomized on-line scheduling algorithms – Chen, Vliet, et al. - 1994
19 Online scheduling revisited – Fleischer, Wahl - 2000
17 Randomized algorithms for that ancient scheduling problem – Seiden - 1997
16 Generating adversaries for request-answer games – Gormley, Reingold, et al. - 2000
15 A randomized algorithm for two servers on the line – Bartal, Chrobak, et al. - 2000
13 Randomized Online Scheduling on Two Uniform Machines – Epstein, Noga, et al. - 1999
7 Randomized online multiprocessor scheduling. Algorithmica – Seiden - 2000
3 On the power of barely random online algorithms – Ben-David, Dichterman, et al. - 1998