, Volume 15, Issue 3, pp 265–276 | Cite as

Semi-online hierarchical scheduling for \(l_p\)-norm load balancing with buffer or rearrangements

  • Xianglai Qi
  • Jinjiang YuanEmail author
Research paper


In this paper, we consider the semi-online hierarchical scheduling for load balancing on two identical machines. In the problem, the jobs are available online over list and the objective is to minimize the \(l_p\)-norm of the two machines’ loads. Two semi-online versions are investigated: the buffer version and the rearrangement version. We design a unified optimal semi-online algorithm for both models.


Scheduling Semi-online Hierarchical machines Buffer Rearrangement 

Mathematics Subject Classification

90B35 (Scheduling theory, deterministic) 90C27 (Combinatorial optimization) 



The authors would like to thank the associate editor and two anonymous referees for their constructive comments and kind suggestions. This research was financially supported by NSFC(11671368) and NSF-Henan(15IRTSTHN006).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsZhengzhou UniversityZhengzhouPeople’s Republic of China

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