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 \(|M|>1\)