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Queueing Theory

An M/M/c queue (random arrivals, random service times, 1–3 servers). Enter the arrival and service rates to get the average queue length, wait, and time in system. Watch how the wait blows up as the servers get busier.

Utilization (ρ)
Avg in queue (Lq)
Avg in system (L)
Avg wait (Wq)
Avg time in system (W)
P(must wait)
P(system empty)
Servers (c)
Target

Use consistent time units for λ, μ, and the waits.