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Patients scheduling problems with deferred deteriorated functions

Author

Listed:
  • Xingong Zhang

    (Chongqing Normal University)

  • Hui Wang

    (Chongqing Normal University)

  • Xingpeng Wang

    (Shanghai Jiaotong University)

Abstract

In the survey scheduling theory, if a surgical patient is regarded as a job waiting to be processed, and the anesthesiologist care unit nurses as machines that are needed before the survey. Due to the lack of operating rooms or the accidental extension of operation time, the patients will have a longer wait time, and can not do operation following the effects of the anaesthetic. The patient needs to be re-anesthesia so that the effects are required to undergo surgery. But this will cause operation time prolonged. Based on the performance of medical procedures under deteriorating health conditions, this paper presents a deterministic approach to schedule patients in surgery scheduling problems with the deferred parameter. We take the patients as jobs. By the deferred deteriorating effect, it means that the actual processing time of a job is a function of its starting time and a control parameter. We prove that the classical SPT (the shortest processing time) rule remains optimal when we minimize the makespan or the total completion time. For problems of minimizing the total weighted completion time and the maximum lateness, we present heuristic sequencing rules and analyze the worst-case bounds for performance ratios. We also show that these heuristic rules can be optimal under some agreeable conditions between the normal processing times and job due dates or weights.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:4:d:10.1007_s10878-015-9852-3
    DOI: 10.1007/s10878-015-9852-3
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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. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    3. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    4. Wayne E. Smith, 1956. "Various optimizers for single‐stage production," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 59-66, March.
    5. T.C. Cheng & Guoqing Wang, 2000. "Single Machine Scheduling with Learning Effect Considerations," Annals of Operations Research, Springer, vol. 98(1), pages 273-290, December.
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    Cited by:

    1. Sean Harris & David Claudio, 2022. "Current Trends in Operating Room Scheduling 2015 to 2020: a Literature Review," SN Operations Research Forum, Springer, vol. 3(1), pages 1-42, March.
    2. Duma, Davide & Aringhieri, Roberto, 2019. "The management of non-elective patients: shared vs. dedicated policies," Omega, Elsevier, vol. 83(C), pages 199-212.
    3. Huidan Lin & Qun Li & Xueguo Xu & Ping Li, 2019. "Optimal arrangement of the pulmonary interventional surgeries considering timely distribution of medical consumables," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 271-285, January.
    4. 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.
    5. Yadong Wang & Baoqiang Fan & Jingang Zhai & Wei Xiong, 2019. "Two-machine flowshop scheduling in a physical examination center," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 363-374, January.
    6. Zhenyuan Liu & Jiongbing Lu & Zaisheng Liu & Guangrui Liao & Hao Howard Zhang & Junwu Dong, 2019. "Patient scheduling in hemodialysis service," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 337-362, January.

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