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I am trying to model the behaviour of 2 independent ON-OFF sources. My state diagram is as follows

state 0 = both sources are OFF

state 1 = 1 of the sources are ON

state 2 = both sources are ON

The transition rates are given as

BIRTH RATE = lamda(i) = (N-I)*lamda

DEATH RATE = alpha(i) = i*alpha

So in my case N = 2.

I understand how to obtain the steady state distribution and the infinitesimal generation matrix. But I don't know how to obtain the transition probability matrix.

Reference taken from (see attached file):

netsys.kaist.ac.kr/~lectures/EE627_2009/material/EE627_1.ppt

Any help will be appreciated

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# Birth Death Markov Chain

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