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A bi-criteria optimization model for medical device sterilization

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  • Onur Ozturk

    (University of Ottawa)

Abstract

This paper proposes a scheduling model for the washing step of medical device sterilization. After use in a surgery, medical devices pass through several steps where the washing is usually a bottleneck. We study the cases of external and internal sterilization services to minimize two objectives: makespan and flow time of washing operations. First, we study internal sterilization services considering jobs can have different or unit sizes. For these two cases, we provide a mixed integer linear model and a dynamic programming model, and integrate these methods in an $$\epsilon $$ ϵ -constraint model. For the case of external services, first we develop a simultaneous (2, 2) approximation algorithm and then derive an algorithmic scheme to generate a partial 2-approximation of the Pareto set. Several numerical experiments are conducted to demonstrate the strength of proposed solution methods.

Suggested Citation

  • Onur Ozturk, 2020. "A bi-criteria optimization model for medical device sterilization," Annals of Operations Research, Springer, vol. 293(2), pages 809-831, October.
    • Handle: RePEc:spr:annopr:v:293:y:2020:i:2:d:10.1007_s10479-019-03296-x
    DOI: 10.1007/s10479-019-03296-x
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    References listed on IDEAS

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    1. Mansouri, S. Afshin & Aktas, Emel & Besikci, Umut, 2016. "Green scheduling of a two-machine flowshop: Trade-off between makespan and energy consumption," European Journal of Operational Research, Elsevier, vol. 248(3), pages 772-788.
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    3. Maria Di Mascolo & Alexia Gouin, 2013. "A generic simulation model to assess the performance of sterilization services in health establishments," Health Care Management Science, Springer, vol. 16(1), pages 45-61, March.
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    6. Jun Pei & Bayi Cheng & Xinbao Liu & Panos M. Pardalos & Min Kong, 2019. "Single-machine and parallel-machine serial-batching scheduling problems with position-based learning effect and linear setup time," Annals of Operations Research, Springer, vol. 272(1), pages 217-241, January.
    7. Zhao-hong Jia & Ming-li Pei & Joseph Y.-T. Leung, 2017. "Multi-objective ACO algorithms to minimise the makespan and the total rejection cost on BPMs with arbitrary job weights," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(16), pages 3542-3557, December.
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    Cited by:

    1. Steffen Rickers & Florian Sahling, 2024. "Integrated procurement and reprocessing planning for reusable medical devices with a limited shelf life," Health Care Management Science, Springer, vol. 27(2), pages 168-187, June.
    2. Tian, Zheng & Zheng, Li, 2024. "Single machine parallel-batch scheduling under time-of-use electricity prices: New formulations and optimisation approaches," European Journal of Operational Research, Elsevier, vol. 312(2), pages 512-524.

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