Queue waiting simulator
Observe how random arrivals and service times create waiting. High offered utilization can produce long queues even when average service seems fast enough.
Your inputs
Start with the example values, then replace them with your own. For tables, keep the vertical bar separators and use a dot for decimals.
This is an educational model with simplified assumptions and a pseudorandom generator. Do not use its results as a forecast or for gambling decisions.
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Result and workspace
Use the start button to open your result or activity.
How it works
Generate exponential interarrival and service times; assign each customer to the first free server. Report finite-run waiting and utilization.
Worked example
These sample results use the original example inputs in the form. They do not change when you edit your inputs; your own result appears in the workspace.
- Mean waiting time: 23.8185 minutes
- Maximum waiting time: 98.8444 minutes
- Offered utilization: 80 %
Read the result carefully
Results depend on the values and assumptions shown above. Change one input at a time to see its effect. A blank or unavailable result means the data does not support a calculation; it is not zero.