A Batch Processing Model .Customers arrive at a facility and wait there until K customers have… 1 answer below »

A Batch Processing Model .Customers arrive at a facility and wait there until K customers have accumulated. Upon the arrival of the Kth customer, all are instantaneously served, and the process repeats. Let  denote the arrivals in successive periods, assumed to be independent random variables whose distribution is given by

where 0 n} is a Markov chain on the states 0, 1, . . . , K – 1. With K = 3, give the transition probability matrix for {Xn}  Be explicit about any assumptions you make.