2019/01/31 by Satori Tsuzuki, Daichi Yanagisawa, Katsuhiro Nishinari · 6 citations
Engineering · Mathematics · Physics and Astronomy · Social Sciences · #Computer network #Computer science #Engineering #Geology #Geometry #Mathematics #Mechanics #Particle (ecology) #Particle number #Physics #Queueing theory #Reduction (mathematics) #Saturation (graph theory) #Smart Parking Systems Research #Telecommunications #Throughput #Traffic control and management #Traffic volume #Transport engineering #Transportation Planning and Optimization #Volume (thermodynamics) #nlin.CG
paper · pdf · doi:10.1088/2399-6528/ab90c3
published in Journal of Physics Communications 4(5), 055009 (IOP Publishing)
arxiv created 2020/03/11 · openalex publication_date 2020/05/01 · arxiv updated 2020/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract This paper examines the traffic flows on a two-dimensional stochastic lattice model that comprises a junction of two traveling routes: the domestic route and the international route each of which has parking sites. In our model, the system distributes the arrived particles to either of the two routes and selects one of the parking sites in the route for each particle, which stops at the parking site once during its travel. Because each particle has antennas in the back and front directions to detect other approaching particles, the effect of the volume exclusion of each particle extends in the moving direction. The system displays interesting behavior; remarkably, the dependence of the throughput on the distribution ratio of particles to the domestic route reduces after reaching the maximum parking capacity of the domestic route. Our simulations and analysis with the queueing model describe this phenomenon and suggest the following fact: as the distribution ratio of particles to the international route decreases, the throughput of the international route reduces, and simultaneously, that of the domestic route saturates. The simultaneous effect of the decrease and saturation causes a reduction in the throughput of the entire system.