Time To React (TTR)

Description

The TTR metric [Hillenbrand2006] [Tamke2011] approximates the latest time until a reaction is required by aggregating the maximum TTM metric over a predefined set of maneuvers \(M\), i.e.

\[\mathit{TTR}(A_1,A_2,t) = \max_{m \in M} \mathit{TTM}(A_1,A_2,t,m)\,.\]

For example, as a set of maneuvers, one might select \(M = \{\)‘brake’, ‘steer’, ‘kickdown’\(\}\).

Properties

Run-time capability

Yes

Target values

Depends on maneuver set \(M\)

Subject type

Optimal for road vehicles (automated and human), sub-optimal for VRUs

Scenario type

Overlapping predicted trajectories for a significant time span in the scenario

Inputs

Static/dynamic objects and their state (pose, shape, etc.) at time t, set of maneuvers \(M\) and their MMs

Output scale

\(\{-\infty\} \cup [0,\infty]\), time (s), ratio scale

Reliability

High, under the assumption that collisions can be reliably predicted

Validity

High, claimed to be ‘an adequate metric to assess the criticality […] since it directly relates to the driver’s possible actions’ [Hillenbrand2006], but also dependent on maneuvers and collision prediction

Sensitivity

Comparable to TTM, as, due to selection of the maneuver with the maximal TTM, the same reasoning applies

Specificity

Highly increased compared to TTM due to consideration of multiple maneuvers

Prediction model

Time window

Unbound, but usefulness depends on DMM

Time mode

Linear time for \(|M|=1\), branching time for \(|M|>1\)