Problem :

Describe how managers may use Queuing Models in the decision making process.

Consider there is only one photocopy machine in your organisation. On a typical day, an average of 20 staff per hour arrives at the photocopy room to make copies. The average time required for photocopying is 2 minutes. It is assumed that the service times may be described by the exponential distribution.

Find the following:

(a) the average number of staff in the system;
(b) the average time a staff spent in the queue;
(c) the average time a staff spent in the system;
(d) the probability that the photocopy room is empty.