Analysis of Police Force Allocation in a City Based on Multiple Fitting and Multi-Station Queuing Theory
This paper is concerned with the relationship between the district area of city A,the density of floating population,the density of people involved in stability,the density of places,the type of police officers and the speed of case generation and case handling.The economic measurement model and multiple fitting methods were used to establish the ideal case generation rate,the ideal case processing time and the case rate models of different police officers,and prove the data screening theorem of the case ideal processing time model on the case rate models of different police officers,and at the same time,the adjusted multiple decision coefficient and a large number of random data of City A were tested.The above three types of models are verified to have high goodness of fit and applicability.In this paper,the average waiting time of case processing is used as the basis to evaluate the merits of police force allocation.The shorter the average waiting time,the more abundant the police force allocation.The average waiting time is calculated by combining the multivariate fitting results and M/M/s multi-station queuing theory model,and the corresponding objective function and boundary conditions are established to calculate the optimal staffing.In the example of city A,A1,A5 and A7 police stations with serious shortage of personnel have been optimized by the model in this paper,and the waiting time of public security,beating and other cases has been comprehensively reduced by 40%,64%and 70%,which can verify the effectiveness of the model.