Queue Wait Time Calculator
Calculate expected wait time from arrival rate, service rate, and number of service points using queueing theory.
Inputs
per hour
per hour
Results
Average Wait Time
2.1 min
Total Time (Wait + Service)3.6 min
Average Queue Length3.5 people
Server Utilization83.3%
Empty System Prob.4.5%
Service Time1.5 min
How to Use This Calculator
- Enter the Arrival Rate (visitors per hour) during the period being analyzed.
- Set the Service Rate (visitors served per hour per service point) and number of Service Points.
- Review Average Wait Time in minutes, Total Time in the system, Average Queue Length, and Server Utilization.
- If utilization exceeds 85%, add service points — the queue grows exponentially as utilization approaches 100%.
How the result changes with Service Points
| Service Points | Average Wait Time |
|---|---|
| 5.9 | 0.1 min |
| 18 | 0 min |
| 33 | 0 min |
| 45 | 0 min |
What each input means
- Arrival Rate
- Average number of visitors arriving per hour.
- Service Rate
- Visitors each service point can process per hour.
- Service Points
- Number of ticket windows, turnstiles, or ride vehicles.
Engine last updated .
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