Question

During lunch time, customers arrive at a postal office at a rate of lambda equals 36 per hour. The interarrival time of the arrival process can be approximated with an exponential distribution. Customers can be served by the postal office at a rate of mu equals 45 per hour. The service time for the customers can also be approximated with an exponential distribution. For each of the following questions, show your work and use the right notation.

Required:
Determine the utilization factor.

Answer 1

the utilization factor is 4 ÷ 5

Step-by-step explanation:

The computation of the utilization factor is shown below:

given that

Customer arrives at the rate of λ equivalent to the 36 per hour

And, Customers can be served by the postal office at a rate of μ equivalent to the 45 per hour

λ = 36 / hour

μ = 45 / hour

Now utilization factor is

P = λ ÷ μ

= 36 ÷ 45

= 4 ÷ 5

Thus, the utilization factor is 4 ÷ 5