Research Article
Adaptive Coordinated Variable Speed Limit between Highway Mainline and On-Ramp with Deep Reinforcement Learning
| No. | Notation | Explanation |
| 1 | | Section count on highway part , where and refers to mainline and on-ramp, respectively. | 2 | | Total flow through the merging bottleneck at time | 3 | | Traffic flow of section at time | 4 | | Error state of section on highway upstream of the merging zone at time | 5 | | Actual traffic density on section of highway at time | 6 | | Critical density between fluent and congested traffic flow | 7 | | Error state of merging zone at time step | 8 | | Actual density of merging zone at time step | 9 | | Control parameter on section of highway at time step | 10 | | Intended speed on VSL sign for section on highway at time step | 11 | | Length of section on highway | 12 | | Actual speed on section at time step | 13 | | Theoretical speed of the merging zone from macroscopic fundamental diagram at critical density | 14 | | Maximum speed limit demonstrated on VSL sign for section of at time step | 15 | | Actual speed on section of highway at time step | 16 | | Maximum speed difference in VSL between successive time steps and sections | 17 | | Final speed delivered to VSL sign after considering the lower bound of speed limit for section on highway at time step | 18 | | Upper bound of VSL | 19 | | Lower bound of VSL |
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