A result which is important in analyses of queuing networks Let the arrival process at a M/Mm queuing system with infinite queue capacity have parameter n. Then, under steady state conditions(<mu) the departure process from the queuing system is also Poisson with parameterλ Implication: greatly facilitates analysis of open acyclic networks consisting of M/M/m queues with infinite queue capacities The bad news: result holds only under exact set of conditions described aboveA result which is important in analyses of queuing networks Let the arrival process at a M/M/m queuing system with infinite queue capacity have parameter l. Then, under steady state conditions (l<mm) the departure process from the queuing system is also Poisson with parameter l. Implication: greatly facilitates analysis of open acyclic networks consisting of M/M/m queues with infinite queue capacities. The bad news: result holds only under exact set of conditions described above