A bank of ten machines requires regular periodic service.Machine running time and service time are both exponential.Machines run for an average of 44 minutes between service requirements,and service time averages 6 minutes per machine. What is the average number of machines down with one operator?
A)1.49
B)3.35
C)4.40
D)6.65
E)8.51

Question

Quizplus · Accepted Answer

The average number of machines down can be calculated using the formula L = λ / μ, where λ is the arrival rate (1/44 per minute) and μ is the service rate (1/6 per minute). With one operator, L = (10 * 1/44) / (1/6) = 3.35.

A Bank of Ten Machines Requires Regular Periodic Service