Question

"On average, a customer waits 8 minutes in a queue and customers arrive at a rate of 15 per hour. What is the average number of customers waiting according to the single-server queue model? "

Answer 1

Answer:

The Answer is A) 2

Explanation:

Drawing details from the question, the formula for calculating Average Waiting Time under the Single -Server Queue Model is given as:

Average  Waiting Time = (Average No of customers waiting in line)  

                                                                        λ

> λ is a mathematical symbol pronounced Lambda and here refers to Rate of Arrival.

> We have Average Waiting Time = 8

> We have λ (Average Rate of Arrival) = 15 People every hour (that is 60 Minutes)

> that is 15/60= 0.25

Therefore λ = 0.25

> Lets assume that Average No. of Customers Waiting in Line is C

Our formula (by substituting the various factors above now becomes

8 = C/0.25

                             

To get, we cross multiply. So we have:

C = 8 x 0.25

C = 2 thefore the Average No. of Customers waiting according to the single-server queue model given the above conditions is 2.

Cheers!