Channel Assignments in Wireless Networks with Time-Varying Traffic Behaviors

Many of the models used to analyze the performance of wireless networks assume stationary traffic behaviors where the average state-changing event times are constant. Various analysis of real traffic traces have shown that such behaviors in mobile wireless networks vary periodically during the day and night. Other systems also exhibit a similar behavior. A better analysis of the network's performance can be achieved by assuming the traffic behaviors to be non-stationary in such systems. In this paper, a multi-server queueing system is presented where the arrival and service probabilities in each time slot are time-dependent and periodic. The model can be applied for computing the optimal assignment of channels that adheres to certain performance level requirements.