Before revision:  We show that such an interpolation is possible for  queueing networks whose parameters can include deterministic service times, queue capacities, and the number of servers, and empirically demonstrate that the interpolation is well behaved.
After revision:  We show that such an interpolation is possible for more complex queueing networks whose parameters can include deterministic service times, queue capacities, and the number of servers, and empirically demonstrate that the interpolation is well behaved.