在流行病情况下重新分配和共享医疗设备的数学优化模型
Víctor Blanco1,2, Ricardo Gázquez1,2, Marina Leal3,4
1Institute of Mathematics (IMAG), Universidad de Granada, Granada, Spain.
Top (Berlin, Germany)
|June 9, 2023
概括
这项研究介绍了一种数学工具,用于在流行病期间在医院之间进行最佳的设备共享. 将这一点应用于西班牙的COVID-19显示,通过有效的资源重新分配,治疗患者的数量显著增加.
科学领域:
- 运营研究 运营研究
- 公共卫生 公共卫生
- 数学建模的数学建模
背景情况:
- 像COVID-19这样的流行病紧急情况会给医疗保健系统带来压力,导致呼吸机和个人防护设备等必需设备的严重短缺.
- 现有的资源分配策略在广泛的健康危机期间往往无法满足需求,需要创新的解决方案来有效分配.
研究的目的:
- 开发一种基于数学编程的决策工具,以便在流行病紧急情况下在医疗保健单位之间最佳地重新分配和共享设备.
- 通过利用单位间的设备共享和区域分销策略,在医院单位网络中最大限度地减少未覆盖的需求.
主要方法:
- 开发具有强大的客观功能的随机多周期数学编程模型,以指导设备重新分配.
- 实施一个分裂与征服的数学启发式方法来解决拟议模型的计算复杂性.
- 使用西班牙各地区COVID-19大流行数据的决策工具的应用和验证.
主要成果:
- 拟议的工具使医疗保健单位之间能够最佳地共享设备,在紧急情况下解决资源短缺问题.
- 分析表明,实施再分配工具可能会导致治疗患者数量的大幅增加.
- 该研究强调了通过战略资源管理显著改善医疗保健系统弹性和能力的潜力.
结论:
- 数学编程为优化危机期间医疗保健资源配置提供了一个强大的框架.
- 单位间的设备共享和高效的区域分配对于提高医院容量和在流行病期间的患者护理至关重要.
- 开发的决策工具为改善医疗保健系统对紧急情况的准备和应对提供了实用和有效的解决方案.
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