Want to analyze queuing systems? Enter arrival and service rates, and our Queuing Theory Calculator will show you key metrics for the queue.
Queuing Theory Calculator
Queuing Theory Calculator
| Component | Description |
|---|---|
| Arrival Rate (λ) | The average rate at which customers or units arrive at the service point. |
| Service Rate (μ) | The average rate at which customers or units are served. |
| Traffic Intensity (ρ) | The ratio of arrival rate to service rate, indicating the utilization of the service point. |
| Average Number in System (L) | The average number of customers or units in the queuing system. |
| Average Time in System (W) | The average time a customer or unit spends in the queuing system. |
| Formula for Traffic Intensity | ρ = λ / μ |
| Formula for Average Number in System | L = λ / (μ - λ) |
| Formula for Average Time in System | W = 1 / (μ - λ) |
| Purpose | Used to analyze and optimize queuing systems, improving service efficiency and customer satisfaction. |