ISSN 0005-1179, Automation and Remote Control, 2017, Vol. 78, No. 2, pp. 235–246. c  Pleiades Publishing, Ltd., 2017. Original Russian Text c  V.V. Gribova, N.B. Shamray, L.A. Fedorishchev, 2017, published in Avtomatika i Telemekhanika, 2017, No. 2, pp. 50–64. SYSTEM ANALYSIS AND OPERATIONS RESEARCH Traffic Modeling Flows in a Developing Urban Infrastructure with a Software Suite for Creating Interactive Virtual Environments V. V. Gribova ∗,∗∗,a , N. B. Shamray ∗,∗∗,b , and L. A. Fedorishchev ∗ Institute of Automation and Control Processes, Far-Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia Far Eastern Federal University, Vladivostok, Russia e-mail: a gribova@iacp.dvo.ru, b shamray@dvo.ru Received June 28, 2015 Abstract—We present a design paradigm for a cloud-based service for interactive modeling of traffic flows in a developing urban infrastructure. The mathematical forecasting model for the load of a transportation network is constructed as a result of synthesizing a gravitational model that describes origin-destination trips and a multimodal traffic equilibrium problem with elastic demand. The search for traffic equilibrium reduces to solving a variational inequality. Three-dimensional visualization of the transportation network and adjacent infrastructure is implemented with the virtual environment’s declarative model. Keywords : traffic equilibrium, elastic demand, variational inequality, ontology, cloud-based service, virtual worlds, 3D graphics. DOI: 10.1134/S0005117917020047 1. INTRODUCTION Successful city development, quality of life in a city, growing wealth of its inhabitants, and business activities to a large extent depend on the quality of operation of the city transportation system and a reasonable policy of developing the territory adjacent to this system. Programs and projects developed in order to improve a city’s living space include a very wide spectrum of activities intended to solve both transportation problems (building new highways, changing throughput and directions of motion along existing roads, creating intercepting parkings, forbidding car entry to a certain territory, and so on) and problems of planning and locating infrastructural objects (constructing/raizing apartment buildings, objects of trade, industry, finance and business, culture and entertainment, social and other spheres). Obviously, transportation problems and planning problems for the urban infrastructure are inseparable. Measures to solve them have global nature, both due to significant financial costs and due to reorganization of social and economic life of the city, and they require preliminary analysis and efficiency evaluation. An objective tool to support management decision making in the planning of developing a trans- portation system and adjacent infrastructure is provided by mathematical modeling and special software based on this modeling. The methodology for describing traffic flows dates back more than fifty years, with huge experi- ence accumulated regarding the modeling of laws and principles of motion for the users of the street 235