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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?
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