Model of emergency supplies allocation in epidemic areas considering spread of biohazard diffusion
In order to solve the problem of location selection and deployment of emergency supplies in epidemic areas after the spread of infectious biohazards,a multi-objective optimal emergency materials allocation model was established.Two kinds of objective functions,the minimization of distribution time and the minimization of the unsatisfied degree of materials,in the epidemic area were applied to this model.The Susceptible-Exposed-Infectious-Recovered-Susceptible(SEIRS)model,considering the incubation period and the repeated infection rate,was combined to establish the material demand equation and predict the real-time material demand in the epidemic area.In view of the impact of the spread of the epidemic on the allocation plan of emergency materials during the emergency rescue process,an impoved NSGA-Ⅱ algorithm solution model was designed.The k-means algorithm was used for pre-location to realize the dynamic update of the location plan of the distribution center applicable to the existing epidemic area.Then,further joint decisions on the dispatch number of various vehicles and the distribution amount of various materials in the distribution center were made.Taking the epidemic data of Wuhan city in 2020 as an example,comparative analysis shows that the model has high computational efficiency,and has performance advantages in convergence,diversity and stability compared with the traditional NSGA-Ⅱalgorithm.The obtained emergency materials allocation plan has a shorter deployment time and less unmet degree in the epidemic area,which verifies the effectiveness of the model.
万方数据
维普
