Servicing Several Flows by Fully Accessible Clusters with Relative Priority of Servicing and Restricted Queueing

We shall consider the systems $M_k|M|1\leq c<\infty|f_1{}^0$ and $M_k|M|1\leq c<\infty|r<\infty|f_1{}^2$ The priority $f_1{}^0$ denotes relative priority for servicing and an absence of priority for entering the queue; $f_1{}^2$ denotes relative priority for servicing and absolute priority in entering the queue. For the first system recursive relationships are given for the state probabilities in the steady-state regime. For the second system formulas are obtained for the loss probabilities and for the average waiting and residence times in the system.