Figures (11)  Tables (5)
    • Figure 1. 

      Overall analytical framework.

    • Figure 2. 

      Macroscopic fundamental diagram.

    • Figure 3. 

      Simulation network. (a) The real-world network map, (b) Network 1, and (c) Network 2.

    • Figure 4. 

      Demand-loading scheme.

    • Figure 5. 

      Gridlock probability and onset-time distribution under different CAV penetration rates. (a) Gridlock probability. (b) Median onset time.

    • 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.

    • Figure 7. 

      Temporal speed degradation and cumulative efficiency loss under different CAV penetration rates. (a) Network mean speed. (b) Cumulative efficiency loss.

    • Figure 8. 

      Robustness and terminal performance across penetration scenarios. (a) Minimum network mean speed. (b) Final trip completion flow.

    • 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.

    • 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.

    • 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.

    • Demand
      level
      Number of
      runs
      Gridlock
      runs
      Probability Median onset
      time
      0.96D0 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.

    • 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.

    • td(s) k1 k2
      0.6 0.45 0.25

      Table 3. 

      CAVs car-following model parameters.

    • Type Ls Lc
      HDVs 1 0.7
      CAVs 1.8 1

      Table 4. 

      HDVs and CAVs lane-changing model parameters.

    • NetworkIndicatorThe CAV penetration rates
      0%20%40%60%80%100%
      1Number of runs with gridlock2830251965
      Gridlock probability0.931.00.830.630.200.17
      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)3,524.94,146.64,392.14,505.44,878.64,759.3
      SD onset time (s)481.04302.91113.12562.47666.48200.97
      No-gridlock runs205112425
      2Number of runs with gridlock17115422
      Gridlock probability0.570.370.170.130.070.07
      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)4,528.44,681.94,895.35,167.85,622.15,480.6
      SD onset time (s)701.5655.7609.4742.0683.4574.8
      No-gridlock runs131925262828

      Table 5. 

      Summary statistics of gridlock occurrence across penetration scenarios in Networks 1 and 2.