Tandem Network. Suppose X(t) is a Jackson network process for the tandem network shown in Figure 4.3, where arrivals enter node 1 according to a Poisson process with rate λ and each node i consists of...

Tandem Network. Suppose X(t) is a Jackson network process for the tandem network shown in Figure 4.3, where arrivals enter node 1 according to a Poisson process with rate λ and each node i consists of a single server with service rate μ_i. Show that X(t) is ergodic if and only if λ