Queueing Theory (M/M/1)
Calculate queue metrics. Formula: L = λ/(μ-λ); Wq = λ/[μ(μ-λ)]. M/M/1 queue analysis. Educational reference.
Formula
L = λ/(μ-λ); Lq = λ²/[μ(μ-λ)]
λ=10, μ=12
Inputs
- Arrival Rate (λ/hour): 10
- Service Rate (μ/hour): 12
L ≈ 5, Lq ≈ 4.17
Frequently asked questions
Unstable?
If λ ≥ μ, queue grows indefinitely