Fig.1 the State Transition Diagram
regeneration point -states 0, 1, 2
Up State Down State
Transition Probabilities
Simple probabilistic considerations yield the following expressions:
p01 = ,
p02 =
p10 = ,
p13 =p11(3)= p11(4)=
p25 = p22(5)= p22(6) =
clearly
p01 + p02 = 1,
p10 + p13 =(p11(3) ) + p14 = ( p11(4)) = 1,
p20 + p25 = (p22(5)) + p26 =(p22(6)) = 1 (1)
And mean sojourn time is
ยต0 = E(T) = (2)
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