Question

In a single-channel queueing model, the customer arrival rate is 12 per hour and the serving rate is 24 per hour. The expected time that a customer is in queue is ____ minutes.

• A. 2.5

Answer 1

The correct option is A 2.5
$\text{Arrival rate,}\lambda =12h{r}^{-1}$

$\text{Service rate,}u=24h{r}^{-1}$

$\text{Expected time that a customer is in queue,}$

$w_q=\frac{\lambda }{\mu (u-\lambda )}=\frac{12}{24\times 12}\times 60=2.5minutes$