Question

please dont copy other answer, it is not correct

model from before:

Continue with the same network availability model from the previous problem. Engineers decided to pool two types of failures together considering the two-state Markov chain with the state space. S-(0,1), and infinitesimal transition probabilities defined (under the assumption that A 0) as follows. They set λ-λι + λ2 and μ-μι + μ2 and then considered the infinitesimal transition probabilities as P [x(t + Δ) = 1 lx(t) = 0] = λ . Δ + o(Δ) and 1. Derive the limiting availability, liin P [x(t) = 0] t-+00 2. Derive the probability that the network is not available and then argue that the solution in this case generally does not coincide with the answer obtained in the previous problem. Hint: Compare the value of network availability in both cases, when λι-μί and λ2 μ2-

Answer 1

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