arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.01318math.OC
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供应链资源共享决策模型及其在抗击COVID-19中的应用

A Model of Supply-Chain Decisions for Resource Sharing with an Application to Ventilator Allocation to Combat COVID-19

Sanjay Mehrotra, Hamed Rahimian, Masoud Barah, Fengqiao Luo, Karolina Schantz

摘要:

本文提出了一个随机最优化模型,用于分配和共享的情况下,流行病的关键资源。对不同实体的需求在不同时间达到高峰,需要从一个中央机构分配初始库存。在风险规避条件下,实体(状态)可以与不同的状态共享关键资源。该模型被应用于研究美国国土安全部(FEMA)联邦紧急事务管理局在COVID-19大流行中向美国不同州分配呼吸机库存。调查结果表明,如果非COVID-19患者的呼吸机库存量不到小于60%,FEMA的20,000台呼吸机库存(截至2020年3月23日)将几乎足以满足预期需求。然而,当超过75%的可用呼吸机库存必须预留给非COVID-19患者时,预计会出现不同程度的短缺。在极端情况下,假设需求集中在预测置信区间的最高四分位数,计划范围内(截至2020年5月31日)的总短缺量约为28,500个呼吸机日,2020年4月12日的峰值短缺量为2,700个呼吸机日。研究结果还表明,在低于平均水平至严重需求的情况下,纽约在其需求高峰期需要为COVID-19患者额外增加7,600 - 9,200台呼吸机。然而,在纽约的高峰需求消退后,可以将其中400至2,000台空调机提供给不同的州。

英文摘要:

This paper presents a stochastic optimization model for allocating and sharing a critical resource in the case of a pandemic. The demand for different entities peaks at different times, and an initial inventory from a central agency is to be allocated. The entities (states) may share the critical resource with a different state under a risk-averse condition. The model is applied to study the allocation of ventilator inventory in the COVID-19 pandemic by the Federal Emergency Management Agency of the US Department of Homeland Security (FEMA) to different states in the US. Findings suggest that if less than 60% of the ventilator inventory is available for non-COVID-19 patients, FEMA's stockpile of 20,000 ventilators (as of 03/23/2020) would be nearly adequate to meet the projected needs. However, when more than 75% of the available ventilator inventory must be reserved for non-COVID-19 patients, various degrees of shortfall are expected. In an extreme case, where the demand is assumed to be concentrated in the top-most quartile of the forecast confidence interval, the total shortfall over the planning horizon (till 05/31/20) is about 28,500 ventilator days, with a peak shortfall of 2,700 ventilators on 04/12/20. The results also suggest that in the worse-than-average to severe demand scenario cases, NY requires between 7,600-9,200 additional ventilators for COVID-19 patients during its peak demand. However, between 400 to 2,000 of these ventilators can be given to a different state after the peak demand in NY has subsided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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