At the early stage of public health emergencies, when the conventional medical reserves prepared are insufficient, and productivity could temporarily not meet the surge in demand, donations can be used to cover excess demand for medical supplies to a large extent. This paper explicitly considers the allocation problem of limited medical reserves during a public health emergency, incorporating uncertainty in demand and donated supplies and the priorities of health care centers. The problem is formulated as a two-stage stochastic program that regards the donated supplies as an efficient recourse action, aiming to minimize the total losses. The optimal allocation strategy of limited medical reserves and donations is obtained by solving the model using Gurobi solver. Finally, the effectiveness of the proposed approach is verified by a series of computational results, which show that the solutions of our method not only benefit the emergency demand fulfill rate but reduce the total losses as well.

在突发公共卫生事件早期，常规医疗储备准备不足，生产力暂时不能满足激增的需求时，捐赠可以在很大程度上弥补医疗物资的过剩需求。本文明确考虑了突发公共卫生事件期间有限医疗储备的分配问题，结合了需求和捐赠物资的不确定性以及医疗中心的优先事项。该问题被表述为一个两阶段的随机程序，将捐赠的物资视为一种有效的追索行动，旨在最大限度地减少总损失。通过使用Gurobi求解器对模型进行求解，得到有限医疗储备和捐赠的最优分配策略。最后，