论文标题

在卫生紧急情况下重新分配和共享健康设备:西班牙的COVID案件

Reallocating and Sharing Health Equipments in Sanitary Emergency Situations: The COVID-19 Case in Spain

论文作者

Blanco, Víctor, Gázquez, Ricardo, Leal, Marina

论文摘要

在本文中,我们提供了一种基于数学编程的决策工具,以在缺乏资源的情况下在紧急情况下的不同单位之间进行最佳重新分配和共享设备。这种方法是由19日大流行的激励,其中许多荒地国家系统无法满足呼吸机,卫生个人保护设备或不同人力资源的需求。我们的工具以两个主要原则为基础:(1)设备在不需要的单位(在不久的将来)的设备库存的一部分可以与其他单位共享; (2)可以在区域中分配的额外股票可以有效地分配给单位的需求。这些决定的目的是最大程度地减少给定网络结构设备集合单元的区域中未覆盖需求的某些度量。我们提供的数学编程模型是随机的和多重的,我们提供了不同的强大目标函数。由于所提出的模型在计算上难以求解,因此我们提供了一种分裂的数学 - 数字增压方法。我们报告了在西班牙不同地区将方法应用于COVID-19病例的数据的结果,并强调了我们分析的一些有趣的结论,例如,如果应用了建议的重新分布工具,则可以大大增加经过治疗的患者。

In this paper we provide a mathematical programming based decision tool to optimally reallocate and share equipments between different units in emergency situations under lack of resources. The approach is motivated by the COVID-19 pandemic in which many Heath National Systems were not able to satisfy the demand of ventilators, sanitary individual protection equipments or different human resources. Our tool is based in two main principles: (1) Part of the stock of equipments at a unit that is not needed (in near future) could be shared to other units; and (2) extra stock to be shared among the units in a region can be efficiently distributed taking into account the demand of the units. The decisions are taken with the aim of minimizing certain measures of the non-covered demand in a region where a given network structured set of units is given. The mathematical programming models that we provide are stochastic and multiperiod and we provide different robust objective functions. Since the proposed models are computationally hard to solve, we provide a divide-et-conquer math-heuristic approach. We report the results of applying our approach to the data of the COVID-19 case in different regions of Spain, highlighting some interesting conclusions of our analysis, such as the great increase of treated patients if the proposed redistribution tool is applied.

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