Waiting time, queue length, utilization, probability of waiting — updated in real time.
“Add 2 servers”, “Open self-service kiosk”, “Train staff 15% faster” — actionable advice.
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Reduce teller queues, optimize shift planning, introduce digital channels.
Shorten patient waiting time, balance doctor/nurse load, predict bottlenecks.
Average Waiting Time in Queue
Relationship Between Time and Number
𝐿 =𝜆𝑊
𝐿𝑞=𝜆𝑊𝑞
Service rate (μ) = speed of serving customers
μ = 1 / service time
Always ensure that:
𝜇>𝜆
If:
Arrival rate (λ) = 4 customers/hour
Service rate (μ) = 6 customers/hour
Then:
𝜌=4/6
=0.67
👉 System is stable.
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