We can’t imagine modern science without mathematical modeling. At the same
time, ideas related to mathematical modeling find themselves in various fields. One of the
interesting applications of mathematical modeling of random processes is the work of the taxi
order service. The article describes the description of the operation of the taxi order service
using autoregressive models with multiple roots of characteristic equations of different
multiplicity. Also attempts were made to approximate and predict the time series of various
important parameters of the taxi order service. Algorithms for identifying model parameters are
proposed.The study was supported by RFBR, project No 17-01-00179
