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The Acme Machine Shop has five machines that periodically break down and require service. The average...

The Acme Machine Shop has five machines that periodically break down and require service.

The average time between breakdowns for any one machine is 4 days, distributed according to

an exponential distribution. The average time to repair a machine is 1 day, distributed

according to an exponential distribution. One mechanic repairs the machines in the order in

which they break down. Use q.xls.

a. Determine the probability that the mechanic is idle. (Hint: Pn is given in q.xls,

and is the probability there are exactly n entities in the queueing system.)

b. Determine the mean number of machines waiting to be repaired.

c. Determine the mean time machines wait to be repaired.

d. Determine the probability that three machines are not operating (are being

repaired or waiting to be repaired).

business   Operations-Management   
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