Shaker Ardakani Elham, Gilani Larimi Niloofar, Oveysi Nejad Maryam, Madani Hosseini Mahsa, Zargoush Manaf
Department of Industrial Engineering, Alzahra University, Tehran, Iran.
Gustavson School of Business, University of Victoria, Victoria, British Columbia, Canada.
Omega. 2023 Jan;114:102750. doi: 10.1016/j.omega.2022.102750. Epub 2022 Sep 5.
The COVID-19 pandemic - as a massive disruption - has significantly increased the need for medical services putting an unprecedented strain on health systems. This study presents a robust location-allocation model under uncertainty to increase the resiliency of health systems by applying alternative resources, such as backup and field hospitals and student nurses. A multi-objective optimization model is developed to minimize the system's costs and maximize the satisfaction rate among medical staff and COVID-19 patients. A robust approach is provided to face the data uncertainty, and a new mathematical model is extended to linearize a nonlinear constraint. The ICU beds, ward beds, ventilators, and nurses are considered the four main capacity limitations of hospitals for admitting different types of COVID-19 patients. The sensitivity analysis is performed on a real-world case study to investigate the applicability of the proposed model. The results demonstrate the contribution of student nurses and backup and field hospitals in treating COVID-19 patients and provide more flexible decisions with lower risks in the system by managing the fluctuations in both the number of patients and available nurses. The results showed that a reduction in the number of available nurses incurs higher costs for the system and lower satisfaction among patients and nurses. Moreover, the backup and field hospitals and the medical staff elevated the system's resiliency. By allocating backup hospitals to COVID-19 patients, only 37% of severe patients were lost, and this rate fell to less than 5% after establishing field hospitals. Moreover, medical students and field hospitals curbed the costs and increased the satisfaction rate of nurses by 75%. Finally, the system was protected from failure by increasing the conservatism level. With a 2% growth in the price of robustness, the system saved 13%.
新冠疫情作为一场巨大的破坏,极大地增加了对医疗服务的需求,给卫生系统带来了前所未有的压力。本研究提出了一种在不确定性下的稳健选址-分配模型,通过应用替代资源(如后备医院、野战医院和学生护士)来提高卫生系统的弹性。开发了一个多目标优化模型,以最小化系统成本并最大化医护人员和新冠患者的满意度。提供了一种稳健方法来应对数据不确定性,并扩展了一个新的数学模型以线性化一个非线性约束。重症监护病房床位、普通病房床位、呼吸机和护士被视为医院收治不同类型新冠患者的四个主要能力限制因素。对一个实际案例进行了敏感性分析,以研究所提出模型的适用性。结果表明学生护士以及后备医院和野战医院在治疗新冠患者方面的作用,并通过管理患者数量和可用护士数量的波动,在系统中提供风险更低的更灵活决策。结果显示,可用护士数量的减少会给系统带来更高成本,以及患者和护士更低的满意度。此外,后备医院、野战医院和医护人员提高了系统的弹性。通过将后备医院分配给新冠患者,只有37%的重症患者死亡,而在建立野战医院后这一比例降至5%以下。此外,医学生和野战医院降低了成本,并将护士的满意度提高了75%。最后,通过提高保守水平,系统得以避免失败。随着稳健性价格增长2%,系统节省了13%。