Investigation of mathematical model of passenger preferences

摘要

A mathematical model for describing passenger preferences is studied. The model was proposed earlier by the authors for predicting passenger traffic for high-speed links of the railway network. Choosing a route by a randomly selected passenger is considered as a problem of minimizing of the generalized transportation cost. This cost is a linear combination of two criteria (a cost and time of the transportation) and depends on a random parameter of passenger preferences. The properties of the model are investigated. The estimation problem for the random parameter distribution via statistical data on the passengers preferences is studied.