Queue Theory: How arrival rate and service rate affect waiting times

Arrival Rate (λ): 4.0 customers/hour

Service Rate (μ): 6.0 customers/hour

Utilization (ρ): 67% | Average Wait Time: -- hours

Explanation:

• Blue: Average waiting time vs utilization rate
• Red line: Current system utilization
• Green dot: Your current wait time
• As utilization approaches 100%, wait times explode!