Fork-Join System. Prove that XXXXXXXXXXis also a necessary condition for the fork-join Markov chain Xn in Example 116 to be positive recurrent. Also, discuss why Foster’s criterion does not work to...

Fork-Join System. Prove that (1.85) is also a necessary condition for the fork-join Markov chain Xn in Example 116 to be positive recurrent. Also, discuss why Foster’s criterion does not work to prove positive recurrence with the linear function v(x)Example 116