Chu Junfei, Li Xiaoxue, Yuan Zhe
School of Business, Central South University, Changsha, Hunan 410083, PR China.
Léonard de Vinci Pôle Universitaire, Research Center, 92 916 Paris La Défense, France.
Comput Ind Eng. 2022 Sep;171:108491. doi: 10.1016/j.cie.2022.108491. Epub 2022 Jul 22.
This paper proposes an approach for medical resource allocation among hospitals under public health emergencies based on data envelopment analysis (DEA). First, the DEA non-regressive production technology is adopted to ensure that the DMU can always refer to the most advanced production technology throughout all production periods. Based on the non-regressive production technology, two efficiency evaluation models are presented to calculate the efficiencies of DMUs before and after resource allocation. Our theoretical analysis shows that all the DMUs can be efficient after medical resource allocation, and thus a novel resource allocation possibility set is developed. Further, two objectives are considered and a bi-objective resource allocation model is developed. One objective is to maximize the output target realizability of the DMUs, while the other is to ensure the allocated resource to each DMU fits with its operation size, preperformance, and operation practice (i.e., proportion of critically ill patients). Additionally, a trade-off model is proposed to solve the bi-objective model to obtain the final resource allocation results. The proposed approach contributes by ensuring that the medical resources are allocated in such a way that they can all be efficiently used as well as considering multiple objectives and practical constraints that make the approach more fitted with the practical application scenarios. Finally, a case study of 30 hospitals in Wuhan during the COVID-19 epidemic is applied to illustrate the proposed approach.
本文提出了一种基于数据包络分析(DEA)的公共卫生突发事件下医院间医疗资源分配方法。首先,采用DEA非回归生产技术,以确保决策单元(DMU)在所有生产时期都能始终参考最先进的生产技术。基于非回归生产技术,提出了两个效率评估模型,用于计算资源分配前后DMU的效率。理论分析表明,医疗资源分配后所有DMU都能达到有效,进而构建了一个新的资源分配可能性集。此外,考虑了两个目标并建立了一个双目标资源分配模型。一个目标是最大化DMU的产出目标可实现性,另一个目标是确保分配给每个DMU的资源与其运营规模、前期表现和运营实际情况(即重症患者比例)相匹配。另外,提出了一个权衡模型来求解双目标模型,以获得最终的资源分配结果。所提方法的贡献在于,它确保了医疗资源的分配方式能使其得到有效利用,同时考虑了多个目标和实际约束,使该方法更适合实际应用场景。最后,通过对新冠肺炎疫情期间武汉30家医院的案例研究来说明所提方法。