Theory 102/Queueing/Ratio lens
Queue Length Is Load Against Service
The claim
Average queue length is set by the ratio of arrival rate to service rate, and it diverges as the ratio approaches one.
01Mechanism
Queues grow when arrivals outpace service; the ratio determines the equilibrium and the sensitivity near capacity.
02Prediction
Length should diverge near a ratio of one.
03Refutation
Length tracking arrivals alone would remove service.