How to Model Complex Periodic Traffic with TES

TES is a traffic modelling methodology that aims at reproducing a given stationary time series with simultaneous respect to its marginal distribution, its autocorrelation structure and the shape of its plot. Whereas the first two requirements can be satisfied sufficiently, it is not possible to receive modelled traffic curves resembling the appearance of given complex periodic structures by using the standard TES method. Therefore, the concept of non-standard stitching functions is proposed which allows to enforce model results resembling any desired shape in an elegant way. The main advantages of TES, especially the fact that the resulting autocorrelation functions may be calculated analytically instead of being estimated from a simulation run, remains valid. Thus, the proposed extension improves the TES methodology without touching its qualities.