The authors analyse the multiplexing of a large number of independent and h
omogenous on-off traffic sources into a single packet switched buffer: a po
ssible model of VoIP. It is shown how a previously developed formula for qu
eues can be applied to this system, allowing accurate calculation of the bu
ffer overflow probability via the burst-scale decay rate of the buffer stat
e probabilities. Numerical results comparing the expression with simulation
and with other approximations shows that the approach gives superior accur
acy, with equivalent complexity.