Service Rate Formula
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FAQ
Arrival rate = 1/inter arrival time The neat trick with this equation is that if you invert the arrival rate your answer is the inter arrival time which can then be used in your simulation.
Mean service rate is the average number of customers served by the system per unit time. It is denoted by ?.
1/h = the average service time per customer. The ratio of customer arrival rate to customer service rate, x = a/h, also reflects the average number of arrivals during an average service time. This formula can also be shown to represent the fraction of time the server is busy.
? Service rate is the mean number of customers. served per unit time = 1/ (mean service time) ? If the mean service time = 10 minutes, then the service rate is 1/10 per minute, i.e. 0.1 per minute, or 6 per hour.
One way to estimate mean service rate would be to count the number of customers exiting (after service) per unit time while there is a continuous line (always someone waiting). Another way would be to record when each customer starts and ends service, take the difference to get their time in service, and average that.
