Solve problem accurately and consider all factors, show equations and solutions. A car wash OWNER…

➤ When does the system become unstable and what does utilization ρ indicate?
The system is stable only when ρ = λ/μ < 1. If λ ≥ μ, arrivals meet or exceed service capacity and the queue grows without bound. For this case λ = 10 and μ = 12, so ρ ≈ 0.833, which is stable. Keeping ρ well below 1 reduces long waits and high costs.