Microscopic and macroscopic traffic flows in chain network of multi-way intersections

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2025, vol. 675, issue C

Abstract: We study how traffic flow and jamming transitions depend on degree of traffic network. Traffic flow and jamming transitions are investigated in a network consisting of a series of multi-way intersections by microscopic and macroscopic traffic models. Totally asymmetric simple exclusion process (TASEP) and macroscopic network model are used for microscopic and macroscopic models. Capacities of nodes (intersections) and links (roads) are taken into account in microscopic and macroscopic models. The macroscopic traffic is compared with microscopic one. At low density, the jamming transition from free traffic to jammed phase occurs by the bottleneck effect of the multi-way intersection. At high density, the phase transition occurs to the congested traffic. The occurrence of jam and traffic behavior depend highly on network degree. It is shown how the fundamental diagram (flow-density relation) and phase diagram (region map) depend on network degree.

Keywords: Transportation network; TASEP; Density equation; Jamming transition; Phase diagram; Bottleneck (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004868

DOI: 10.1016/j.physa.2025.130834

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