The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The university is considering changing out the copiers and expects that the average arrival time will drop to 25 copiers per month. This will allow them to reassign one of the technicians to other tasks. Assume the change has occurred and the system is set up as a single channel; first come first serve, single server system.
a)What is the utilization of the service center?
b)What is the average number of copiers waiting in the system?
c)What is the average number of copiers in the waiting line?
d) What is the average time a copier is waiting to be repaired
e) What is the average time the copier is in the waiting line?
f)What is the probability that 6 copiers will be in the system at a given time?

Question

The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The university is considering changing out the copiers and expects that the average arrival time will drop to 25 copiers per month. This will allow them to reassign one of the technicians to other tasks. Assume the change has occurred and the system is set up as a single channel; first come first serve, single server system. 
a)What is the utilization of the service center?
b)What is the average number of copiers waiting in the system?
c)What is the average number of copiers in the waiting line?
d) What is the average time a copier is waiting to be repaired
e) What is the average time the copier is in the waiting line?
f)What is the probability that 6 copiers will be in the system at a given time?

Quizplus · Accepted Answer

The Answer of The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The university is considering changing out the copiers and expects that the average arrival time will drop to 25 copiers per month. This will allow them to reassign one of the technicians to other tasks. Assume the change has occurred and the system is set up as a single channel; first come first serve, single server system. 
a)What is the utilization of the service center?
b)What is the average number of copiers waiting in the system?
c)What is the average number of copiers in the waiting line?
d) What is the average time a copier is waiting to be repaired
e) What is the average time the copier is in the waiting line?
f)What is the probability that 6 copiers will be in the system at a given time?

The University Replication Facility Provides Copier Repair Service for the University