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Supply chain scheduling problem in the hospital with periodic working time on a single machine

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  • Jing Fan

    (East China University of Science and Technology
    Shanghai Second Polytechnic University)

  • Xiwen Lu

    (East China University of Science and Technology)

Abstract

The warehouse of a hospital is responsible for wrapping medical materials into packages by a baler and dispatching packages to the departments of the hospital periodically to guarantee the requirements of patients. The manager of the warehouse wants to efficiently utilize the wrapping machine and reduce the times of distributions to decrease logistics cost. If we regard the baler as a single machine and medical materials as jobs, the problem can be summarized as a supply chain scheduling problem integrated with production and delivery. Owing to periodic working time of workers, the machine can be viewed as having periodic maintenance. Because the wrapping interruption of medical materials is not allowed in the hospital, processing of any job is nonresumable. All wrapped packages are dispatched before workers are off duty. This means that each delivery batch is delivered just before each maintenance. Our goal is to minimize sum of the total delivery time and the total delivery cost. We show that the problem is strongly NP-hard and provide a $$2$$ 2 -approximation algorithm. Moreover, we propose a branch-and-bound algorithm. Finally we present computational results for some instances generated randomly. Numerical simulation results show that the approximation algorithm performs efficiently.

Suggested Citation

  • Jing Fan & Xiwen Lu, 2015. "Supply chain scheduling problem in the hospital with periodic working time on a single machine," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 892-905, November.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:4:d:10.1007_s10878-015-9857-y
    DOI: 10.1007/s10878-015-9857-y
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    References listed on IDEAS

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    Cited by:

    1. Zhiguo Wang & Lufei Huang & Cici Xiao He, 2021. "A multi-objective and multi-period optimization model for urban healthcare waste’s reverse logistics network design," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 785-812, November.
    2. Gengjun Gao & Yuxuan Che & Jian Shen, 0. "Path optimization for joint distribution of medical consumables under hospital SPD supply chain mode," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-18.
    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. Ling Gai & Jiandong Ji, 2019. "An integrated method to solve the healthcare facility layout problem under area constraints," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 95-113, January.
    5. 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.
    6. 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.
    7. Gang Du & Luyao Zheng & Xiaoling Ouyang, 2019. "Real-time scheduling optimization considering the unexpected events in home health care," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 196-220, January.
    8. Huidan Lin & Qun Li & Xueguo Xu & Ying Zhang, 0. "Research on dispatch of drugs and consumables in SPD warehouse of large scale hospital under uncertain environment: take respiratory consumables as an example," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-18.
    9. Gengjun Gao & Yuxuan Che & Jian Shen, 2021. "Path optimization for joint distribution of medical consumables under hospital SPD supply chain mode," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 866-883, November.
    10. Huidan Lin & Qun Li & Xueguo Xu & Ying Zhang, 2021. "Research on dispatch of drugs and consumables in SPD warehouse of large scale hospital under uncertain environment: take respiratory consumables as an example," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 848-865, November.
    11. Zhiguo Wang & Lufei Huang & Cici Xiao He, 0. "A multi-objective and multi-period optimization model for urban healthcare waste’s reverse logistics network design," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-28.
    12. Long Zhang & Yuzhong Zhang & Qingguo Bai, 2019. "Two-stage medical supply chain scheduling with an assignable common due window and shelf life," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 319-329, January.

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