Question

Consider a single-server queuing system. If the arrival rate is 82 units per hour, and each customer takes 36 seconds on average to be served, what is the average # of customers in the line? Round to whole person.

Answer 1

Answer:

The average # of customers in the line is 4.

Explanation:

arrival rate, x = 82/3600

                      = 0.023

service rate, y = 1/36

                        = 0.028

utilisation, p = x/y

                    = 0.023/0.028

                    = 0.821

average number of costomers = p^2/[1 - p]

                                                   = (0.821)^2/[1 - 0.821]

                                                   = 3.75

Therefore, The average # of customers in the line is 4.