OpenPAV Platform

Billboard

Four independent performance rankings: Safety, Mobility, User Comfort, and Energy Efficiency. Rank 1 is best in each dimension; no composite score or overall rank is calculated.

Results

Performance Rankings

Radar charts of eight calibrated vehicle models showing independent safety, mobility, comfort, and energy efficiency ranks; 1 is best

Brand and dataset metadata used by the ranking.

Brand Model Year Dataset Supplementary Note
TeslaN/AN/ACentral Ohio ACCThe tested Tesla has been retrofitted (Xia et al., 2023).
ToyotaCorolla LE2020MicroSimACC-
LincolnMKZs2016CATS ACC-
N/AN/A2019Vanderbilt ACCUnknown commercial SUV (Wang et al., 2019).
KGMRextonN/AOpenACC-Casale-
FordS-Max2018OpenACC Vicolungo-
Mazda32019OpenACC Asta-
BMWX52018OpenACC ZalaZone-

Note: These results evaluate eight calibrated vehicle models under generated single-lane adaptive cruise control (ACC) car-following scenarios. They demonstrate the platform workflow and do not constitute a comprehensive real-world ranking of vehicle models or brands.

References

  1. Xia, X., Meng, Z., Han, X., Li, H., Tsukiji, T., Xu, R., Zheng, Z., Ma, J., 2023. An automated driving systems data acquisition and analytics platform. Transportation Research Part C: Emerging Technologies 151, 104120.
  2. Wang, Y., Gunter, G., Nice, M., Work, D.B., 2019. Estimating adaptive cruise control model parameters from on-board radar units. arXiv preprint arXiv:1911.06454.
  3. Zegeye, S. K., De Schutter, B., Hellendoorn, J., Breunesse, E. A., Hegyi, A., 2013. Integrated macroscopic traffic flow, emission, and fuel consumption model for control purposes. Transportation Research Part C: Emerging Technologies 31, 158-171.

Safety Ranking

Safety is evaluated using Time-to-Collision (TTC). The columns in the table represent TTC intervals, ordered from the collision state to increasingly safer conditions.

Estimated stationary probabilities of the TTC blocks and safety ranks for the eight calibrated PAV models. Displayed probabilities may not sum exactly to one because of rounding. \(T_{\mathrm{cap}}\) is the TTC cap used in the evaluation.

Rank Model [0,0] (0,0.25] (0.25,0.75] (0.75,1.5] (1.5,3] (3,5] (5,8] \((8,T_{\mathrm{cap}}]\)
1Toyota Corolla LE (2020)0.0E+000.0E+000.0E+000.0E+005.5E-131.2E-063.8E-041.0E+00
2Tesla (unknown)0.0E+002.3E-121.6E-062.8E-051.9E-045.3E-049.9E-039.9E-01
3Lincoln MKZs (2016)5.1E-114.9E-061.3E-042.1E-045.5E-047.5E-041.7E-031.0E+00
4Ford S-Max (2018)1.4E-085.4E-061.1E-055.4E-054.7E-041.1E-031.2E-029.9E-01
5KGM Rexton (unknown)3.4E-083.7E-073.2E-059.2E-052.5E-041.1E-031.2E-029.9E-01
6Mazda 3 (2019)7.5E-086.0E-064.9E-052.1E-047.3E-041.8E-031.1E-029.9E-01
7N/A (2019)2.7E-062.5E-043.0E-046.4E-047.0E-041.8E-039.0E-039.9E-01
8BMW X5 (2018)3.3E-058.6E-041.4E-031.1E-032.1E-034.0E-035.3E-029.4E-01

Brand and dataset metadata used by the ranking.

Brand Model Year Dataset Supplementary Note
ToyotaCorolla LE2020MicroSimACC-
TeslaN/AN/ACentral Ohio ACCThe tested Tesla has been retrofitted (Xia et al., 2023).
LincolnMKZs2016CATS ACC-
FordS-Max2018OpenACC Vicolungo-
KGMRextonN/AOpenACC-Casale-
Mazda32019OpenACC Asta-
N/AN/A2019Vanderbilt ACCUnknown commercial SUV (Wang et al., 2019).
BMWX52018OpenACC ZalaZone-

Ranking Method

Safety is quantified using Time-to-Collision (TTC), a standard rear-end risk indicator. At time t, TTC is the remaining time to collision assuming current speed and gap remain unchanged. Larger TTC indicates safer conditions, while smaller TTC indicates higher risk.

In the aggregated Markov evaluation framework, TTC is discretized into hazard-prioritized blocks:

\[ \mathcal{K} = \{ [0,0], (0,0.25], (0.25,0.75], (0.75,1.5], (1.5,3], (3,5], (5,8], (8,T_{\mathrm{cap}}] \}. \]

Let \( \pi_i^k \) be the probability that PAV \( i \) operates in TTC block \( k \). We define a transformed vector \( \mathbf{z}_i \) with:

\[ z_i^k = \begin{cases} -\log_{10}(\pi_i^k), & \pi_i^k > 0, \\ \infty, & \pi_i^k = 0. \end{cases} \]

PAVs are ranked using lexicographic comparison on \( \mathbf{z}_i \) from the most hazardous block to the least hazardous block. This means we first compare collision-state probability, then proceed block-by-block only when ties occur. Under this rule, models with larger probability mass in the first differing safety-critical TTC block receive worse (numerically larger) ranks; rank 1 is best.

References

  1. Xia, X., Meng, Z., Han, X., Li, H., Tsukiji, T., Xu, R., Zheng, Z., Ma, J., 2023. An automated driving systems data acquisition and analytics platform. Transportation Research Part C: Emerging Technologies 151, 104120.
  2. Wang, Y., Gunter, G., Nice, M., Work, D.B., 2019. Estimating adaptive cruise control model parameters from on-board radar units. arXiv preprint arXiv:1911.06454.

Mobility Ranking

Mobility is measured by mean time headway under the generated driving scenarios. Smaller mean time headway receives a better mobility rank; rank 1 is best.

Mobility ranking results by model.

Rank Model Time Headway (s)
1Ford S-Max (2018)0.982
2Toyota Corolla LE (2020)1.055
3Mazda 3 (2019)1.076
4N/A (2019)1.292
5KGM Rexton (unknown)1.376
6BMW X5 (2018)1.492
7Lincoln MKZs (2016)1.727
8Tesla (unknown)1.797

Brand and dataset metadata used by the ranking.

Brand Model Year Dataset Supplementary Note
FordS-Max2018OpenACC Vicolungo-
ToyotaCorolla LE2020MicroSimACC-
Mazda32019OpenACC Asta-
N/AN/A2019Vanderbilt ACCUnknown commercial SUV (Wang et al., 2019).
KGMRextonN/AOpenACC-Casale-
BMWX52018OpenACC ZalaZone-
LincolnMKZs2016CATS ACC-
TeslaN/AN/ACentral Ohio ACCThe tested Tesla has been retrofitted (Xia et al., 2023).

References

  1. Xia, X., Meng, Z., Han, X., Li, H., Tsukiji, T., Xu, R., Zheng, Z., Ma, J., 2023. An automated driving systems data acquisition and analytics platform. Transportation Research Part C: Emerging Technologies 151, 104120.
  2. Wang, Y., Gunter, G., Nice, M., Work, D.B., 2019. Estimating adaptive cruise control model parameters from on-board radar units. arXiv preprint arXiv:1911.06454.

User Comfort Ranking

User comfort is evaluated using mean squared acceleration under the generated driving scenarios. Lower mean squared acceleration receives a better comfort rank; rank 1 is best.

User comfort ranking results by model.

Rank Model Acceleration Square (m2/s4)
1BMW X5 (2018)0.009
2N/A (2019)0.038
3Tesla (unknown)0.040
4Lincoln MKZs (2016)0.055
5Ford S-Max (2018)0.080
6KGM Rexton (unknown)0.088
7Mazda 3 (2019)0.100
8Toyota Corolla LE (2020)0.174

Brand and dataset metadata used by the ranking.

Brand Model Year Dataset Supplementary Note
BMWX52018OpenACC ZalaZone-
N/AN/A2019Vanderbilt ACCUnknown commercial SUV (Wang et al., 2019).
TeslaN/AN/ACentral Ohio ACCThe tested Tesla has been retrofitted (Xia et al., 2023).
LincolnMKZs2016CATS ACC-
FordS-Max2018OpenACC Vicolungo-
KGMRextonN/AOpenACC-Casale-
Mazda32019OpenACC Asta-
ToyotaCorolla LE2020MicroSimACC-

References

  1. Xia, X., Meng, Z., Han, X., Li, H., Tsukiji, T., Xu, R., Zheng, Z., Ma, J., 2023. An automated driving systems data acquisition and analytics platform. Transportation Research Part C: Emerging Technologies 151, 104120.
  2. Wang, Y., Gunter, G., Nice, M., Work, D.B., 2019. Estimating adaptive cruise control model parameters from on-board radar units. arXiv preprint arXiv:1911.06454.

Energy Efficiency Ranking

Energy efficiency is evaluated using the fuel-use proxy. Lower values receive a better rank; rank 1 is best.

Fuel-use Proxy is the mean rate predicted by the same hypothetical VT-Micro fuel model (Zegeye et al., 2013) applied to all generated driving trajectories. It compares trajectories, not actual vehicle energy use; the Tesla value is not electricity consumption.

Rank Model Fuel-use Proxy (L/s)
1Tesla (unknown)0.00206
2BMW X5 (2018)0.00291
3Lincoln MKZs (2016)0.00303
4KGM Rexton (unknown)0.00304
5Ford S-Max (2018)0.00324
6Mazda 3 (2019)0.00330
7Toyota Corolla LE (2020)0.00336
8N/A (2019)0.00393

Brand and dataset metadata used by the ranking.

Brand Model Year Dataset Supplementary Note
TeslaN/AN/ACentral Ohio ACCThe tested Tesla has been retrofitted (Xia et al., 2023).
BMWX52018OpenACC ZalaZone-
LincolnMKZs2016CATS ACC-
KGMRextonN/AOpenACC-Casale-
FordS-Max2018OpenACC Vicolungo-
Mazda32019OpenACC Asta-
ToyotaCorolla LE2020MicroSimACC-
N/AN/A2019Vanderbilt ACCUnknown commercial SUV (Wang et al., 2019).

References

  1. Xia, X., Meng, Z., Han, X., Li, H., Tsukiji, T., Xu, R., Zheng, Z., Ma, J., 2023. An automated driving systems data acquisition and analytics platform. Transportation Research Part C: Emerging Technologies 151, 104120.
  2. Wang, Y., Gunter, G., Nice, M., Work, D.B., 2019. Estimating adaptive cruise control model parameters from on-board radar units. arXiv preprint arXiv:1911.06454.
  3. Zegeye, S. K., De Schutter, B., Hellendoorn, J., Breunesse, E. A., Hegyi, A., 2013. Integrated macroscopic traffic flow, emission, and fuel consumption model for control purposes. Transportation Research Part C: Emerging Technologies 31, 158-171.

Submit a Result

For results submissions, please contact technical contributor Hang Zhou (hzhou364@wisc.edu).