How to use the calculator
- Enter the arrival rate (average number of customers per hour)
- Enter the service rate (average number of customers that can be served per hour)
- Select the queue discipline (most common is FIFO)
- Optionally, specify the maximum queue length
- Click the "Calculate" button to see the results
Understanding the results
- Average Queue Length (Lq): The average number of customers in the queue
- Average Waiting Time (Wq): The average time a customer waits in the queue (in minutes)
- Probability of Zero Queue (P0): The probability that there are no customers in the system
Working Principle
This calculator uses queuing theory formulas to calculate queue metrics. The M/M/1 model is assumed by default, where arrivals follow a Poisson process and service times are exponentially distributed.
Practical Applications
This calculator can be used in various scenarios including:
- Call center operations
- Banking systems
- Customer service queues
- Manufacturing processes
- Website load balancing