This paper studies stationary
queueing systems with first-come first-served discipline and generic interarrival and service times T and S, respectively, both with first two moments finite and (relative) traffic intensity
. The components of the stationary Kiefer-Wolfowitz vector, 
,
, of workloads form an associated family of random variables. The first moments are bounded below as in
, the bound being tight in
systems for which
for some
. If
, then there is a system for which the mean waiting-time
. By considering the limit as
of a sequence of systems with two-point service time distributions specified by
, where
, an asymptotic decomposition result is established for the sum
amongst systems with given first two moments for S and T; it is new even for the single-server case. From this and further detailed asymptotic results it follows that when
, amongst systems with given first two moments finite for S and T, there is always a sequence of systems for which
. Heuristic calculations indicate the nature of all the
when
. Evidence concerning conjectured upper bounds on
is reviewed.