CLAIMS
1. Method for reducing the drive delay of a rolling stock (120) to reach a destination, the rolling stock (120) being driven by a driver lo follow a running profile that defines the speeds and positions of the rolling stock (120) al different timings, characterized in that the method comprises the steps of:
- determining a current time,
- getting (S209) a nominal acceleration of the rolling stock (120), the nominal acceleration being determined by the driver of the rolling stock (120) to follow the running profile at the current time,
- determining (S205) the speed error of the rolling stock (120) with the running profile,
- determining (S204) the position error of the rolling stock (120) with the running profile,
- determining (S206) an estimate of the time to reach the destination,
- determining (S208) a marginal acceleration from the speed error, the position error and the estimated time to reach the destination, the marginal acceleration is determined as minus the sum of speed error times two times a parameter divided by the time to reach the destination and of position error times the square of the parameter divided by the square of time to reach the destination,
- accelerating (S211) the rolling stock (120) with the sum of nominal and
determined marginal accelerations.
2. Method according to claim 1, characterized in that the destination is the next stop of the rolling stock (120).
3. Method according to claim 1, characterized in that the destination is the position wherein an automatic stop control system starts to manage the stop of the rolling stock (120).
4. Method according to claim 1, characterized in that the destination is the position where the rolling stock (120) enters in a speed limited area.

5. Method according to claim 1, characterized in that the parameter is
predetermined and is comprised between 3.5 and 5.
6. Method according to claim 5, characterized in that the parameter is equal to 3.7.
7. Method according to any of the claims 1 to 4, characterized in that the sum of marginal acceleration and the acceleration of the rolling stock (120) is limited to a maximum acceleration, which is determined as the difference between a speed limit level and the speed of the rolling stock (120), divided by a time period.
8. Method according to any of the claims 1 to 4, characterized in that the sum of marginal acceleration and the acceleration of the rolling stock (120) is limited to a minimum acceleration which is determined as minus the measured of the rolling stock (120) divided by the time period.
9. Method according to any of the claims 1 to 8, characterized in that the method further comprises the steps of:

- checking if the marginal acceleration is enabled by the driver of the rolling stock (120),
- adding the marginal acceleration to the nominal acceleration if the marginal acceleration is enabled by the driver of the roiling stock (120),
- not adding the marginal acceleration to the acceleration of the rolling slock (120) defined by the driver of the rolling stock (120) in order to follow the running profile if the marginal acceleration is not enabled by the driver of the rolling stock (120).
10. Device for reducing the drive delay of a rolling stock (120) to reach a
destination, the rolling stock (120) being driven by a driver to follow a running profile
that defines the speeds and positions of the rolling stock (120) at different timings,
characterized in that the device comprises:
- means (100) for determining a current time,

- means (106) for getting a nominal acceleration of the rolling stock (120), the nominal acceleration being determined by the driver of the rolling stock (120) to follow the running profile at the current time,
- means (100) for determining the speed error of the rolling stock (120) with the running profile,
- means (100) for determining the position error of the rolling stock (120) with the running profile,
- means (100) for determining an estimate of the time to reach the destination,
- means (100) for determining a marginal acceleration from the speed error, the position error and the estimated time to reach the destination, the marginal acceleration is determined as minus the sum of speed error times two times a parameter divided by the time to reach the destination and of position error times the square of the parameter divided by the square of time to reach the destination,
- means (109) for accelerating the rolling stock (120) with the sum of nominal and determined marginal accelerations.