Abstract
The density difference lattice hydrodynamic model with on-ramp is proposed. Stochastic and deterministic rules for the on-ramp flow entering into the main road are designed. Under the stochastic rule, various empirical spatiotemporal patterns can be well reproduced, such as the pinned localized cluster (PLC) and homogeneous synchronized traffic (HST). Under the deterministic rule, four new types of congested traffic states, such as the stationary oscillatory congested traffic (OCT) upstream of on-ramp and the stationary and localized OCT emerging in HST, are identified for the first time. Comparisons with the macroscopic speed gradient model are carried out, and some advantages of our model are clarified. To our knowledge, it is the first research showing that the lattice hydrodynamic model could reproduce various congested patterns induced by the on-ramp system.
Highlights
With the rapid development of urbanization, traffic congestion becomes one of the most serious problems that undermine the operation efficiency of modern cities
We found that homogeneous synchronized traffic (HST) and homogeneous congested traffic (HCT) can be reproduced, but the pinned localized cluster (PLC), Triggered stop-and-go waves (TSG), and moving localized cluster (MLC) cannot be simulated
Congested traffic states induced by the on-ramp have been observed and investigated widely by the macroscopic and microscopic traffic flow models
Summary
With the rapid development of urbanization, traffic congestion becomes one of the most serious problems that undermine the operation efficiency of modern cities. The preconditions for the possible occurrence of different traffic states can be illustrated by the phase diagram These empirical traffic states include the pinned localized cluster (PLC), moving localized cluster (MLC), triggered stop-and-go traffic (TSG), oscillating congested traffic (OCT), homogeneous synchronized traffic (HST), and homogeneous congested traffic (HCT); see Figure 1. In previous works, both microscopic and macroscopic models except the lattice hydrodynamic models were investigated under the on-ramp system.
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