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. Determine the utilization factor.
a. po = 4/5
b. po = 5/4
c. po = 1/5
d. po = 1/9
e. none of these

Answer 1

Answer:

a. po = 4/5

Explanation:

Customer arrives at the rate of λ equal 36  per hour

Customers can be served by the postal office at a rate of μ equals 45 per hour

λ = 36 / hour

μ = 45 / hour

P = λ / μ

P= 36 / 45

P= 4/5

Thus, the utilization factor is 4/5