A continuous-time Markov process has three states, A,B and C. When the process is in state A, it stays there for an expo
Posted: Thu Jul 14, 2022 4:50 pm
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A continuous-time Markov process has three states, A,B and C. When the process is in state A, it stays there for an exponentially distributed time with a mean of 2 minutes and then moves to state B or state C wit equal probabilities. When the process is in state B, it stays there for an exponentially distributed time with a mean of 1′′ minute and then moves to state A. When the process is in state C, it stays there for an exponentially distributed time with mean 3 minutes and then moves to A with probability 1/3 and to B with probability 2/3. Write down the transition rates of the process and draw the transition diagram.
A continuous-time Markov process has three states, A,B and C. When the process is in state A, it stays there for an exponentially distributed time with a mean of 2 minutes and then moves to state B or state C wit equal probabilities. When the process is in state B, it stays there for an exponentially distributed time with a mean of 1′′ minute and then moves to state A. When the process is in state C, it stays there for an exponentially distributed time with mean 3 minutes and then moves to A with probability 1/3 and to B with probability 2/3. Write down the transition rates of the process and draw the transition diagram.