Optimization of Traffic Flow Based on Periodic Fuzzy Graphs

In this paper, one of the most significant and frequently encountered problems of rapidly developing cities is considered - inconsistent regulation of traffic lights at several consecutive sections of road intersection. This problem is most relevant in cities with a rapidly growing population, as a result, increasing the number of vehicles on public roads. The identified problems are relevant due to the increasing number of road users, which entails not only the risk of traffic accidents, but also the risk of traffic congestion, which greatly complicates the logistics situation of transport and other companies, thereby increasing cash expenses. In order to eliminate the identified problem, the presented paper considers an approach that allows optimizing the regulation of traffic flows based on periodic fuzzy graphs. That is, graphs in which the fuzzy adjacency of vertices changes in discrete time, while discrete time has the property of cyclicity.