In this paper, we use the continuous-time PH/M/n/m preemptive priority queue to model the traffic behaviour between the ISP and a future HAN. From the simulated results of the model, one can then approximate the amount of bandwidth required for each traffic class per household so that the total bandwidth required is minimized while the QoS requirements (delay and blocking probability) of the home devices are met. Thus this model could potentially be used as a network planning tool for ISPs to estimate how much bandwidth they need to provide per household for homes that use home area network. Alternatively, it could also be used to estimate what quality of service (e.g. what is the mean delay and blocking probability expected) given a certain amount of bandwidth per household.