Mathematical modeling of the movement of vehicles and pedestrians at unregulated intersections

Abstract

Objective. Development of a mathematical model of the joint movement of traffic and pedestrian flows at urban unregulated junctions at the same level in order to develop recommendations for determining their capacity.Method. The research is based on the use of modern technology of mathematical modeling and computational experiment. A probabilistic Poisson mathematical model was chosen as a model of a complex system of interaction between transport and pedestrian flows.Result. Calculation schemes have been developed for mathematical modeling depending on the number of traffic lanes and the location of the pedestrian crossing. A method has been developed to determine the capacity of unregulated junctions at the same level as pedestrian traffic.Conclusion. The capacity of an unregulated junction is defined as the sum of the capacity of the lanes of a secondary road, taking into account the priority of pedestrian flows and traffic flows of the main direction, depending on various variables (the intensity of traffic of cars in the main direction, the proportion of turning cars, the intervals of arrival of groups of pedestrians, the intensity of pedestrian traffic).

Keywords

• mathematical modeling
• throughput
• traffic flow
• traffic intensity