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A two-stage stochastic variational inequality model for storage and dynamic distribution of medical supplies in epidemic management
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-10-01 , DOI: 10.1016/j.apm.2021.09.033
Min Li 1 , Chao Zhang 1 , Mingxv Ding 1 , Ruipu Lv 1
Affiliation  

The storage and distribution of medical supplies are important parts of epidemic prevention and control. This paper first proposes a new nonsmooth two-stage stochastic equilibrium model of medical supplies in epidemic management. The first stage addresses the storage in the pre-disaster phase, and the second stage focuses on the dynamic distribution by enrolling competitions among multiple hospitals over a period of time in the post-disaster phase. The uncertainties are the numbers of infected people treated in multiple hospitals during the period of time, which are time-varying around a nominal distribution predicted by historical experience. The two-stage stochastic equilibrium model is further approximated and transformed to a monotone two-stage stochastic variational inequality (SVI) model that is computationally tractable, with the aid of a smooth approximation technique. We employ the progressive hedging method (PHM) to solve a case study in the city of Wuhan in China suffered from the COVID-19 pandemic. Numerical results are presented to demonstrate the effectiveness of the proposed model in planning the storage and dynamic distribution of medical supplies in epidemic management.

更新日期:2021-10-13
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