Le Mans Is a Math Problem: Lap Time vs Pit Time vs Neutralizations
One-sentence promise: Endurance results come from a timing model, not opinions.
The Outcome That Matters
After 24 hours, ranking is driven by:
- total laps completed
- then time gaps
So the model must convert pace and operations into total distance.
First-Order Model
Define:
T: race time (24 h)t_lap: average lap time in race conditionst_pit: pit loss per stop (in + stationary + out)N_pit: number of pit stops
First-order approximation:
L ~= (T - N_pit * t_pit) / t_lap
This is intentionally simple but useful. Small changes in t_lap and t_pit compound across the full event.
Why EV Strategy Is Different
An ICE GT stop is mostly fuel + service. An EV stop includes high-energy transfer time, so pit-loss management becomes central.
The EV strategy must recover that lost time through:
- better on-track pace
- better consistency
- better use of neutralization windows
Neutralization Can Change the Equation
Safety Car and Full Course Yellow phases can reduce relative pit-loss cost because race pace is compressed for all competitors.
This means the model must eventually include:
- event frequency
- event duration
- pit-loss scaling during neutralized phases
What the Full Model Must Add
- lap-time distributions (not a single lap value)
- tire effects over a stint
- driver-change timing and pace effects
- multi-class traffic
- charging curve versus SOC and temperature
- thermal derating risk
We are not starting with all of this. We are starting with the smallest model that can be falsified and improved.
Open Questions (TBD)
- What baseline
t_lapshould we target by day, night, and wet conditions? - What realistic
t_pitcan we execute including connect/disconnect safety steps? - What neutralization assumptions should the baseline 24-hour simulation use?