Thanks for your input and help, I really appreciate it. But as I said earlier, I have really given up on it now and maybe will give it a look at a later time, so I will try to close this thread so that others won't waste time on it. But as I said, thanks for your time and help.
So if nothing is failing, shouldn't that be zero?
So is that represented as µ*p where µ is the lifetime so failing means its lifetime is done, and p refers to the successful recovery of the process. Is that correct?
that none of them fail.
that one fails and can't be repaired? If yes, then the whole compute crashes and therefore we enter a state 0, right?
But I am still not understanding how would hat be put into a matrix?
The question says that if one PU fails and can't be reconfigured, then the computer crashes.
So first of all, is my state space even correct? S = 0,1 means 0 is down, which means one (or more) of PUs failed and can't be fixed...and state 1 means all are working well OR one has failed but was...
Summary: The transition rate matrix for a problem where there are 5 Processing Units
A computer has five processing units (PU’s). The lifetimes of the PU’s are independent and have the Exp(µ) law. When a PU fails, the computer tries to reconfigure itself to work with the remaining PU’s. This...
Yes, I did. But I am already struggling to type a matrix, let alone a graph ahahaha.
Just a quick follow up on the above matrix, what would the stationary distribution be for the above matrix in this case?
Also, what would the period of each state be? Because I got a period of 1 for every...
Summary: Determine the absorbing states & communication classes of the given matrix.
Hello everyone,
If we have a state space of S = {1,2,3,4} and the following matrix:
\begin{bmatrix}
0 & 1 & 0 & 0\\
0 & 0 & 1/3 & 2/3\\
1 & 0 & 0 & 0\\
0 & 1/2 & 1/2 & 0\\
\end{bmatrix}
Now, given the...