The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked

• Main Author: Anton Aleshkin
• Format: Article
• Language: English
• Published: MDPI AG 2021-06-01
• Series: Mathematics
• Subjects: increasing traffic capacity; percolation threshold; transport link density; transport network; density of transport links
• Online Access: https://www.mdpi.com/2227-7390/9/11/1278

This paper examines some approaches to modeling and managing traffic flows in modern megapolises and proposes using the methods and approaches of the percolation theory. The author sets the task of determining the properties of the transport network (percolation threshold) when designing such networks, based on the calculation of network parameters (average number of connections per crossroads, road network density). Particular attention is paid to the planarity and nonplanarity of the road transport network. Algorithms for building a planar random network (for modeling purposes) and calculating the percolation thresholds in the resulting network model are proposed. The article analyzes the resulting percolation thresholds for road networks with different relationship densities per crossroad and analyzes the effect of network density on the percolation threshold for these structures. This dependence is specified mathematically, which allows predicting the qualitative characteristics of road network structures (percolation thresholds) in their design. The conclusion shows how the change in the planar characteristics of the road network (with adding interchanges to it) can improve its quality characteristics, i.e., its overall capacity.