Application of synthetic gravity model with exponential-power gravity function for calculation of passenger traffic splitting by different modes of public transport

Abstract

The paper considers a task of a correspondence matrix recovery for transport with a fixed number of routes according to the statistical data on incoming and departing passenger traffic. A classic gravity model was generalized for several modes of transport that resulted in combination of a correspondence matrix calculation and a calculation of passenger traffic splitting by different modes of transport. The authors propose an approach to determine the correspondence matrix for several modes of transport on the basis of synthetic gravity model with exponential-power gravity function. The approach described is realized on a specific example of analysis of public transport in Ekaterinburg. With the use of numerical methods the authors have solved a task of multidimensional optimization and found optimal values of parameters for gravity function. The paper also presents that the exponential-power gravity function is the most suitable for the model.