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QUESTION

If the service representative finishes repairing the first machine before the two operators complete the repair of the second, the operators go back

If the service representative finishes repairing the first machine before the two operators complete the repair of the second, the operators go back to running the two operational machines while the representative finishes the second repair, in which case the remaining repair time has an exponential distribution with a mean of 0.2 week. (a) Letting the state of the system be the number of machines not working, construct the rate diagram for the queueing system. (b) Find the steady-state distribution of the number of machines not working. (c) What is the expected number of operators available for copying?

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