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Figure 1.
Overall analytical framework.
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Figure 2.
Macroscopic fundamental diagram.
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Figure 3.
Simulation network. (a) The real-world network map, (b) Network 1, and (c) Network 2.
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Figure 4.
Demand-loading scheme.
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Figure 5.
Gridlock probability and onset-time distribution under different CAV penetration rates. (a) Gridlock probability. (b) Median onset time.
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Figure 6.
Temporal evolution of network accumulation and trip completion flow under different CAV penetration rates. (a) Temporal evolution of network accumulation. (b) Temporal evolution of trip completion flows.
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Figure 7.
Temporal speed degradation and cumulative efficiency loss under different CAV penetration rates. (a) Network mean speed. (b) Cumulative efficiency loss.
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Figure 8.
Robustness and terminal performance across penetration scenarios. (a) Minimum network mean speed. (b) Final trip completion flow.
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Figure 9.
Spatial distribution of bottleneck probability and lock-up intensity in Network 1. (a) First detected gridlock onset time across penetration scenarios. (b) Lock-up intensity across penetration scenarios.
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Figure 10.
Representative spatiotemporal propagation of gridlock in Network 1. (a) Gridlock propagation at 0% CAV penetration. (b) Gridlock propagation at 20% CAV penetration. (c) Gridlock propagation at 40% CAV penetration. (d) Gridlock propagation at 60% CAV penetration. (e) Gridlock propagation at 80% CAV penetration. (f) Gridlock propagation at 100% CAV penetration.
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Figure 11.
MFD trajectories and fitted curves of Network 1 and Network 2 under the same loading framework. (a) MFD trajectories in Network 1. (b) Fitted curve in Network 1. (c) MFD trajectories in Network 2. (d) Fitted curve in Network 2.
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Demand
levelNumber of
runsGridlock
runsProbability Median onset
time0.96D0 30 0 0.00 — 0.98D0 30 14 0.47 4,152.8 1.00D0 30 28 0.93 3,524.9 1.02D0 30 30 1.00 2,618.3 1.04D0 30 30 1.00 2,283.5 Table 1.
Demand sensitivity analysis of gridlock occurrence.
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amax (m/s2) $ {v}_{0}\left({\mathrm{m}}/{\mathrm{s}}\right) $ s0 (m) T (s) b (m/s2) 2 25 2 1.8 2 Table 2.
HDVs car-following model parameters.
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td(s) k1 k2 0.6 0.45 0.25 Table 3.
CAVs car-following model parameters.
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Type Ls Lc HDVs 1 0.7 CAVs 1.8 1 Table 4.
HDVs and CAVs lane-changing model parameters.
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Network Indicator The CAV penetration rates 0% 20% 40% 60% 80% 100% 1 Number of runs with gridlock 28 30 25 19 6 5 Gridlock probability 0.93 1.0 0.83 0.63 0.20 0.17 95% CI [0.79, 0.98] [0.89, 1.00] [0.66, 0.93] [0.46, 0.78] [0.10, 0.37] [0.07, 0.34] Median onset time (s) 3,524.9 4,146.6 4,392.1 4,505.4 4,878.6 4,759.3 SD onset time (s) 481.04 302.91 113.12 562.47 666.48 200.97 No-gridlock runs 2 0 5 11 24 25 2 Number of runs with gridlock 17 11 5 4 2 2 Gridlock probability 0.57 0.37 0.17 0.13 0.07 0.07 95% CI [0.39, 0.73] [0.22, 0.54] [0.07, 0.34] [0.05, 0.30] [0.02, 0.21] [0.02, 0.21] Median onset time (s) 4,528.4 4,681.9 4,895.3 5,167.8 5,622.1 5,480.6 SD onset time (s) 701.5 655.7 609.4 742.0 683.4 574.8 No-gridlock runs 13 19 25 26 28 28 Table 5.
Summary statistics of gridlock occurrence across penetration scenarios in Networks 1 and 2.
Figures
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Tables
(5)