| The allocation of medical protective equipment to hospitals by distribution centers under a public health emergency has important theoretical and practical significance.Existing research on the distribution of medical supplies during public health emergencies can be classified into two types.The first type aims to minimize unmet demand or maximize distribution fairness,without considering the impact of the distribution of medical supplies on the spread of public health emergencies.The second type considers the impact of the distribution of medical supplies on the spread of public health emergencies,but mostly focuses on patients affected by the public health emergency.Addressing the deficiencies in previous research,this paper considers the scenario where the total amount of medical protective equipment at distribution centers is insufficient.A model is established with the aim of minimizing the sum of infected medical personnel in all hospitals and decisions are made on the distribution of medical protective equipment to each hospital.MATLAB R2022 a is used for simulation.The main work of this paper is as follows.The paper focuses on the construction of a medical protective equipment allocation model and algorithm design in response to public health emergencies.Based on the characteristics of the early stages of public health emergencies,an improved SEIAR model is constructed to estimate the number of S(susceptible),E(exposed),I(infectious),A(asymptomatic),and R(recovered)medical personnel in each hospital at each stage,taking into account the mutual transmission of medical personnel and cross-infection between medical staff and patients.Based on the estimation results and the amount of medical protective equipment possessed by each hospital at the end of the previous stage,a medical protective equipment allocation model is established with the objective of minimizing the sum of infected medical personnel in all hospitals at all stages,under the assumption of a single distribution center.A genetic algorithm is designed to solve the model.Numerical simulation analysis of medical protective equipment allocation under public health emergencies.Taking the infection data of medical personnel in 9 designated fever hospitals in Wuhan,including Jin Yin-tan Hospital as a simulation example,from January 10 to30,2020.The paper simulated the medical protective equipment allocation model under a single distribution center using MATLAB R2022 a.The simulation results of the allocation model were compared with the simulation data of common medical material allocation strategies(first-come first-served strategy,mean strategy,and equilibrium strategy)to verify the effectiveness of the model and algorithm.Furthermore,sensitivity analysis was performed on the model parameters to investigate the impact of the quantity of medical protective equipment at the distribution center,the threshold of the infection rate,and the initial number of susceptible medical personnel on the results of medical protective equipment allocation.The research findings of this paper can improve the allocation of medical protective equipment during sudden public health emergencies and provide references for subsequent research and practical applications. |