Considerable recent work has explored the queueing impact of different prop
erties of the input process to a buffer. The authors confine their attentio
n to the effects of variation in service time distribution: the motivation
for this being the need to calculate accurate delay bounds in the presence
of variable length IP packets, and specifically to assess the impact of a s
mall proportion of large packets on the delay performance. An analytical re
sult is developed into which any distribution of packet size can be substit
uted easily, and in the process the value of better queueing models for arb
itrary packet length distributions is shown.