DES - Graphical Representation of CTHMC

Graphical Representation of Continuous Time Homogeneous Markov Chain:

A CTHMC ($\mathcal{X},Q,{\Pi }_0$) is represented by a direct, labeled graph such that:

• The nodes are the states of the CTHMC
• There is an arc from the state $i$ to the state $j\ne i$ with label $q_{i,j}$ if and only if $q_{i,j}>0$

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~Example: