A queue increases and decreases with state-dependent probabilitiesa_i=\dfrac{1}{(i+2)^2}

a?i

??=?(i+2)?2

??

?

?1

??ands_i=\dfrac{1}{i^2}

s?i

??=?i?2

??

?

?1

??in any timeframe. Find the steady state distribution\pi(i)

?(i)if it exists. Hint:\displaystyle \sum_{i=1}^{\infty}i^{-2}=\frac{\pi^2}{6}

?i=1

??

??

??i??2

??=?6

?

???2

??

??.

A queue increases and decreases with state- dependent probabilities ai = 1 ( 2 + 2) 2 and Si in any timeframe. Find the steady state distribution 7 (2) if it exists. Hint: i -2 i=1 Single Variable Expression Input Palette History Help Enter Answer Here Preview TT (2) =[ Answer Preview ] for i = 0, 1, 2, ... Check