Develope CTMC
. A single technician services two different machines. The machines have independent exponential times until break down with an average of 10 hours and 15 hours for machine 1 and 2, respectively. The time it takes to repair each machine is exponential with an average of 4 and 6 hours for machine 1 and 2, respectively. Management would like to evaluate three different repair policies based on the expected number of functioning machines they will have in these scenarios in the long-run. Develop a CTMC (give Q and draw the TPD) to count the number of working machines for each of the following scenarios.
(a) The technician will repair each machine in the order that they failed.
(b) The technician will always repair machine 1 if it is broken down. If the technician is repairing machine 2 and machine 1 fails, he or she will immediately switch over and begin repairing machine 1.
(c) The technician can work on repairing both machines at the same time. The service times are unchanged for each machine.
(d) As the engineer assigned to these machines, which policy would recommend to management and why? Management wants some numerical analysis and reasoning done to demonstrate why.
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