Maple Leaf Foods owns two machines (machine A and machine B) that operate independently of each other. The machines are susceptible to failure during the workday: if at the on any day, machine A fails with a probability of 0.2 and machine B fails with a probability of 0.4. Maple Leaf Foods employs only one repairman that can work on only one machine at a time. If a machine fails during the day, the repairman starts working on it at the start of the next day and fixes it with probability 0.7; if he fails to fix it, he will continue working on the same machine the next day, until he fixes it. If both machines fail on the same day, the repairman starts working on either machine with equal probability. a) Model and draw this situation as a Markov chain. State clearly what every state represents.
Maple Leaf Foods owns two machines (machine A and machine B)
that operate independently of each other. The machines are susceptible to failure during the
workday: if at the on any day, machine A fails with a probability of 0.2 and machine B fails with
a probability of 0.4. Maple Leaf Foods employs only one repairman that can work on only one
machine at a time. If a machine fails during the day, the repairman starts working on it at the
start of the next day and fixes it with probability 0.7; if he fails to fix it, he will continue working
on the same machine the next day, until he fixes it. If both machines fail on the same day, the
repairman starts working on either machine with equal probability.
a) Model and draw this situation as a Markov chain. State clearly what every state represents.
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