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A frequent problem of traffic flow characteristics acquisition is data loss, which leads to uneven time series analysis. An effective approach to uneven data analysis is the spectral analysis, which requires obtaining process with a constant sampling interval, for example, by restoring missing data, which leads to the appearance of dating error. Thus, the main purpose of this study is to develop a method and software for wavelet analysis of traffic flow characteristics without restoring the missing data. To analyze and interpret non-stationary uneven time series obtained from traffic monitoring systems, we propose the wavelet transformation method with adjustment of the sampling intervals, which results in a time-frequency domain with a constant sampling interval. Wavelet analysis is applied to the macroscopic traffic flow characteristics. We developed the software for traffic flow wavelet analysis on the "ITSGIS" intelligent transport geo-information framework using the attribute-oriented approach. Wavelet analysis of traffic flows characteristics using Morlet wavelets was accomplished for data analysis of the city of Aarhus, Denmark. Wavelet spectra and scalograms were constructed and analyzed, general dependencies in the frequency distribution of extremes, and differences in spectral power were revealed. The developed software is being experimentally tested in solving practical problems of municipalities and road agencies in Russia.

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There is presented a software toolkit for urban traffic simulation. The advantages of the toolkit are defined by using software implementation based on a web-oriented approach that does not require the installation of any programs as well as high-performance hardware. In order to increase the modeling efficiency, the toolkit uses layers: road network elements are placed on the first unchanged static layer; vehicles are placed on the second dynamic layer. Vehicles are redrawn at each modeling step; the road network is redrawn on demand. The software toolkit is based on SUMO traffic flow simulator by TraCI protocol for data transfer. The paper describes a component and structural diagrams of toolkit architecture and contains developed data processing algorithms. The technique of hardware optimization required for traffic modeling is implemented through the use of design patterns. The graphical user interface of the toolkit for changing modeling parameters during the simulation is presented. Modeling on a section of the road network of Samara, Russia was carried out. Based on the results of this modeling, restrictions are imposed on the size of the simulated road network and on the number of vehicles: total area of road network should not exceed 3 square km, while the number of road network elements should not exceed 10000, the total number of vehicles should not exceed 5000.