Core Concepts
M/M/1 means arrival process (M), service process (M), and one service window (1).
- Arrival: Poisson distribution
- Service: Exponential distribution
- Utilization: ρ = λ / μ
- Queue length: ρ / (1 - ρ)
- Response time: 1 / (μ - λ)
Example from the Japanese original: λ=16/hour, μ=20/hour, utilization ρ=0.8, average waiting time 12 minutes, average response time 15 minutes.