Finite-Capacity Kelly Network. Consider the network process in Theorem 81 with the modification that arrivals from outside are dependent on the network such that q(x, x + er1) = λ(r)φr0(|x|). This...

Finite-Capacity Kelly Network. Consider the network process in Theorem 81 with the modification that arrivals from outside are dependent on the network such that q(x, x + er1) = λ(r)φr0(|x|). This would allow for a finite capacity network by assuming φr0(n) = 0 for n = νr. For this more general arrival rate, show that the invariant measure as in Theorem 81 would be