Abstract

Most cities (especially in Central and Eastern Europe) focus on improving the road network, which aims to improve the efficiency of motor vehicle traffic and minimize congestion. Most existing tools for analysing the effectiveness of urban transport networks do not correctly analyse the impact of walking and cycling on network performance. Instead, they focus exclusively on the results of motor vehicle transport and exclude pedestrians and cyclists, or incorporate them as factors that interfere with the traffic of motor vehicles. It is therefore necessary to introduce solutions that will, on the one hand, reduce congestion and, on the other, improve the safety and travel quality of vulnerable road users. One of the tasks that need to be done to improve pedestrian conditions is to determine the relationship between pedestrian and vehicle traffic. An example of the application of microscopic models in the study of delays of traffic participants (road users) is presented in this paper. These analyses do not exhaust the test issues but are only a prelude to further research that will be run, among others, within the FLOW Project framework (HORIZON 2020).

Abstract

International audience; It is shown that the queuing delay involved in the congestion control algorithm is state-dependent and does not depend on the current time. Then, using an accurate formulation for buffers, networks with arbitrary topologies can be built. At equilibrium, our model reduces to the widely used setup by Paganini et al. Using this model, the delay-derivative is analyzed and it is proved that the delay time-derivative does not exceed one for the considered topologies. It is then shown that the considered congestion control algorithm globally stabilizes a delay-free single buffer network. Finally, using a specific linearization result for systems with state-dependent delays from Cooke and Huang, we show the local stability of the single bottleneck network.