Obtain the transition probability matrices P of the Markov chains representing the number of customers in the system at epochs at which service completion occurs in (a) Example 5.2.1 and (b) Example...

Obtain the transition probability matrices P of the Markov chains representing the number of customers in the system at epochs at which service completion occurs in (a) Example 5.2.1 and (b) Example 5.2.2. Determine the limiting distributions of the queueing systems in (a) and (b) by obtaining Pn for large enough n.