Benny’s Arcade has six video game machines. The average time between machine failures is 50 hours. Jimmy, the main- tenance engineer, can repair a machine in 15 hours on aver- age. The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution. a. What is Jimmy’s utilization? b. What is the average number of machines out of service, that is, waiting to be repaired or being repaired? c. What is the average time a machine is out of service?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
icon
Related questions
Question

Benny’s Arcade has six video game machines. The average
time between machine failures is 50 hours. Jimmy, the main-
tenance engineer, can repair a machine in 15 hours on aver-
age. The machines have an exponential failure distribution,
and Jimmy has an exponential service-time distribution.
a. What is Jimmy’s utilization?

b. What is the average number of machines out of service,
that is, waiting to be repaired or being repaired?
c. What is the average time a machine is out of service?

Expert Solution
steps

Step by step

Solved in 5 steps with 8 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill