2012 | OriginalPaper | Buchkapitel
Online Minimum Makespan Scheduling with a Buffer
verfasst von : Yan Lan, Xin Chen, Ning Ding, György Dósa, Xin Han
Erschienen in: Frontiers in Algorithmics and Algorithmic Aspects in Information and Management
Verlag: Springer Berlin Heidelberg
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In this paper we study an online minimum makespan scheduling problem with a reordering buffer. We obtain the following results, which improve on work from FOCS 2008: i) for
m
identical machines, we give a 1.5-competitive online algorithm with a buffer of size 1.5
m
, which is better than the previous best result : 1.5-competitive algorithm with a buffer of size 1.6197
m
; ii) for three identical machines, to give an optimal online algorithm we reduce the size of the buffer from nine to six; iii) for
m
uniform machines, using a buffer of size
m
, we improve the competitive ratio from 2 +
ε
to 2 − 1/
m
+
ε
, where
ε
> 0 is sufficiently small.