International Journal on Mechanical Engineering and Robotics (ijmer)



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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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