$ explain --wait-estimate
To estimate how long you'd wait if you joined the line right now, we rearrange Little's Law:
West = L / μ
West = your estimated wait time
L = people currently in line
μ (mu) = service rate — people leaving the queue per minute
We calculate μ by observing how many people exit the queue over a rolling time window. The more observations we collect, the more accurate the rate becomes.
When there isn't enough historical data to compute a reliable service rate, we fall back to a conservative per-person estimate. It's better to overestimate your wait than to send you somewhere with a false sense of speed.
Example: 12 people in line, service rate of 4/min → estimated wait ≈ 3 minutes. Same 12-person line at 2/min → 6 minutes.
Estimated wait by queue length & service rate
── Slow (2/min)── Moderate (4/min)── Fast (8/min)