A continuous-time Markov chain (CTMC) has the following Q = (qij) matrix (all rates are transition/second)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A continuous-time Markov chain (CTMC) has the following Q = (gii) matrix (all rates are
%3D
transition/second)
0.46
0.5
5.11
0.59
1.49 7.18
Q = (4tj)
7.18 5.11
0.46
0.5
0.59 5.11
The balance equation for state 3 of this CTMC is
X T3
X T1
X TT2
X T4
ニ
Transcribed Image Text:A continuous-time Markov chain (CTMC) has the following Q = (gii) matrix (all rates are %3D transition/second) 0.46 0.5 5.11 0.59 1.49 7.18 Q = (4tj) 7.18 5.11 0.46 0.5 0.59 5.11 The balance equation for state 3 of this CTMC is X T3 X T1 X TT2 X T4 ニ
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