Throughput Rates. Suppose X(t) is the multiclass network process X(t) in Theorem 82 and assume it is ergodic. Find a simple expression for the throughput (or average number of items that jump) from α...

Throughput Rates. Suppose X(t) is the multiclass network process X(t) in Theorem 82 and assume it is ergodic. Find a simple expression for the throughput (or average number of items that jump) from α_i
to β_j
 Next, assume the network is closed with ν items in it. Specify the stationary distribution for X(t), and derive the throughput formulawhere c_ν
is the normalization constant for the network with ν items in it.