Continuation. Suppose X(t) is the open multiclass network process X(t) in the preceding exercise. Explain how the solutions wαi to the traffic equations and throughput ραi,βj is changed or simplifies...

Continuation. Suppose X(t) is the open multiclass network process X(t) in the preceding exercise. Explain how the solutions wαi to the traffic equations and throughput ραi,βj is changed or simplifies under the following two scenarios. (a) Each item carries a class label that does not change: λ_αi,_βj
= 0 if α != β. (b) The class changes are independent of the routing in that λ_αi,_βj
= λ˜_αβλ¯_ij
, where λ˜_αβ
and λ¯_ij
are irreducible transition rates for class changes and node changes, respectively.