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.