Multiclass Service System with Blocking. Consider a service system that processes m classes of items, but it can serve only one classat any time. While it is serving items of class c, any arrivals of...

Multiclass Service System with Blocking. Consider a service system that processes m classes of items, but it can serve only one classat any time. While it is serving items of class c, any arrivals of other classes cannot enter the system and are turned away, but new type c arrivals may enter. Assume class c items enter and depart such that the number in the system behaves as an ergodic CTMC on the nonnegative integers with transition rates qc(x, y), and its stationary distribution pc(x) is known. The system is represented as a CTMC X(t) with states x = (x₁,...,x_{m )}