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An optimal online algorithm for fractional scheduling on uniform machines with three hierarchies

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Abstract

This paper is concerned with the fractional version of online hierarchical scheduling problem on uniform machines. In the problem, the jobs and machines have several different hierarchies and each job can be arbitrarily split between the machines with hierarchies not above the hierarchy of the job. The objective is to minimize the makespan. The authors present an optimal algorithm for the problem with three hierarchies.

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Authors and Affiliations

  1. Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

    Xinrong Lu & Zhaohui Liu

Authors
  1. Xinrong Lu
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  2. Zhaohui Liu
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Corresponding author

Correspondence to Zhaohui Liu.

Additional information

This research was supported by National Natural Science Foundation of China under Grant No. 11171106.

This paper was recommended for publication by Editor WANG Shouyang.

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Lu, X., Liu, Z. An optimal online algorithm for fractional scheduling on uniform machines with three hierarchies. J Syst Sci Complex 29, 1650–1657 (2016). https://doi.org/10.1007/s11424-016-5001-z

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  • DOI: https://doi.org/10.1007/s11424-016-5001-z

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