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Journal of Combinatorial Optimization

, Volume 37, Issue 1, pp 83–94 | Cite as

The medical laboratory scheduling for weighted flow-time

  • Wenhua LiEmail author
  • Xing Chai
Article
  • 116 Downloads

Abstract

This paper studies an on-line scheduling in medical laboratory. The sample of a patient is regarded as a job waiting to be scheduled, and each analyzer as a machine that may analyze several samples simultaneously as a batch. The samples arrive over time, and the information of each sample is not released until the sample arrives. Each sample is given a weight in a known range to represent its importance or urgency. Thus the medical laboratory scheduling can be described as a parallel-batch on-line scheduling problem. The objective is to minimize the maximum weighted flow-time. For the unbounded batch capacity model, a best possible on-line algorithm is established for any given range of weights. Moreover, for the bounded batch capacity model, a best possible on-line algorithm is presented for the range of weights 1 to 2.

Keywords

Medical laboratory On-line scheduling Parallel-batch Weighted flow-time Competitive ratio 

Notes

Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 11571321, 11771406 and 11401065) and the Natural Science Foundation of Henan Province (No. 15IRTSTHN006).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsZhengzhou UniversityZhengzhouChina

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