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The medical laboratory scheduling for weighted flow-time

Author

Listed:
  • Wenhua Li

    (Zhengzhou University)

  • Xing Chai

    (Zhengzhou University)

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.

Suggested Citation

  • Wenhua Li & Xing Chai, 2019. "The medical laboratory scheduling for weighted flow-time," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 83-94, January.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:1:d:10.1007_s10878-017-0211-4
    DOI: 10.1007/s10878-017-0211-4
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    References listed on IDEAS

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    1. Liwei Zhong & Shoucheng Luo & Lidong Wu & Lin Xu & Jinghui Yang & Guochun Tang, 2014. "A two-stage approach for surgery scheduling," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 545-556, April.
    2. Xingong Zhang & Hui Wang & Xingpeng Wang, 2015. "Patients scheduling problems with deferred deteriorated functions," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 1027-1041, November.
    3. D. Michael Warner, 1976. "Scheduling Nursing Personnel According to Nursing Preference: A Mathematical Programming Approach," Operations Research, INFORMS, vol. 24(5), pages 842-856, October.
    4. Holmes E. Miller & William P. Pierskalla & Gustave J. Rath, 1976. "Nurse Scheduling Using Mathematical Programming," Operations Research, INFORMS, vol. 24(5), pages 857-870, October.
    5. Xiangyong Li & N. Rafaliya & M. Fazle Baki & Ben A. Chaouch, 2017. "Scheduling elective surgeries: the tradeoff among bed capacity, waiting patients and operating room utilization using goal programming," Health Care Management Science, Springer, vol. 20(1), pages 33-54, March.
    6. Jianfa Cao & Jinjiang Yuan & Wenjie Li & Hailin Bu, 2011. "Online scheduling on batching machines to minimise the total weighted completion time of jobs with precedence constraints and identical processing times," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 51-55.
    7. Edward J. Anderson & Chris N. Potts, 2004. "Online Scheduling of a Single Machine to Minimize Total Weighted Completion Time," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 686-697, August.
    8. Lili Liu & Guochun Tang & Baoqiang Fan & Xingpeng Wang, 2015. "Two-person cooperative games on scheduling problems in outpatient pharmacy dispensing process," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 938-948, November.
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    Cited by:

    1. Jing Fan & Hui Shi, 2021. "A three-stage supply chain scheduling problem based on the nursing assistants’ daily work in a hospital," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 896-908, November.
    2. Wenhua Li & Weina Zhai & Xing Chai, 2019. "Online Bi-Criteria Scheduling on Batch Machines with Machine Costs," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    3. Jing Fan & Hui Shi, 2022. "Non-resumable scheduling on a single bounded parallel-batch machine with periodic maintenance," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1645-1654, July.
    4. Jing Fan & Hui Shi, 0. "A three-stage supply chain scheduling problem based on the nursing assistants’ daily work in a hospital," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-13.

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