Packet wait times in voice over IP wireless reverse links

In voice over IP wireless networks traffic induced packet wait times at the physical layer can be used for delay budgets and to determine Erlang capacity. Whitt and Sriram determined expected packet wait times for a T1 system by monte carlo simulation of the G/D/1 queue. The cumulative distribution function of packet interarrival times for multiple voice users, was nearly exponential. At large utilization factors, the M/D/1 queue underestimated expected packet wait times due to correlation between packet interarrival times while the Kingman upper bound cannot be applied. In this paper upper and lower bounds on expected packet wait time are derived for voice over IP reverse links where the radio channel supports a single radio burst at any time with scheduled multiple user packet transmission. Although the M/D/1 queue approximation works well at medium utilization factors, our bounds for the G/D/1 queue with correlated packet interarrival times provide a good estimate at large utilization factors and validate our simulation results.