π Queue Theory 101:
Queue Growth = (Arrivals/min - Service/min) Γ Time
The Magic Rule:
β’ Arrivals < Service = Queue clears β
β’ Arrivals = Service = Barely stable β οΈ
β’ Arrivals > Service = DISASTER π¨
Why it explodes:
If 1 extra person/min arrives vs. processed, that's +60 people/hour in line. Over 4 hours? +240 people. Even tiny imbalances compound into chaos.
Why TSA is fucked:
Government shutdown = fewer agents = lower service rate. Morning rush = high arrival rate. Queue goes brrrr π