M/M/1 Queue Calculator
Calculate the steady-state wait and system number of a single service desk based on the average arrival rate and service rate per hour.
M/M/1 Queue Calculator User manual
- Fill in the parameters or select the file according to the form, and check the unit and format first.
- An average of 8 customers arrive per hour, while one server can serve an average of 10 customers per hour.
- Click the processing button to view the results, you can copy or download and save.
Calculation method and processing rules
Calculate the utilization rate, idle probability, queue length and service stay time according to the m/m/1 formula.
scope of use
The arrival rate must be below the service rate. Assumes Poisson arrivals, exponentially distributed service times, an unlimited queue and steady state; it does not guarantee actual waiting times.
Will the input content be saved on the server?
This tool handles input in the browser, and does not upload files or form content. Typing practice scores are only saved in the native browser.
Why may the result be different from other tools?
The arrival rate must be below the service rate. Assumes Poisson arrivals, exponentially distributed service times, an unlimited queue and steady state; it does not guarantee actual waiting times. Please compare the input unit, rounding method, applicable rules and data version first.



