Question

Each of Professor A and Professor B at UTD has a private secretary, who can type four letters per hour. The letters are generated at a rate of three per hour by each of the two professors, who have been wondering if they would benefit from pooling the two secretaries. Perform a queuing analysis. What is the average waiting time of a letter in the system.

Answer 1

Answer:

Average waiting time = 7.5 minutes

Explanation:

UTD private secretary can type the number of letters = 4  per hour by each.

By professor, the letter generated = 3 per hour by each

Thus by pooling the average time will be the time that comes by dividing the one hour with total letters in an hour.

Use the below formula:

Average waiting time = Minutes in one hour / total letters

Average waiting time = 60 / 8

Average waiting time = 7.5 minutes