Performance Analysis for Wireless Stochastic Networks With Dynamic Traffic and Packet Retransmission

In this paper, we analyze the system performance of a stochastic network, which is in the stationary state. Different from previous full-loaded assumptions that base stations (BSs) are always transmitting signals, which overestimates the inter-cell interference (ICI), dynamic traffic is considered in our model and BSs can be silent in some time slots. Packet retransmission is adopted, which brings a coupled relationship between the outage probability and the buffer empty probability. That is, as the outage probability increases, packets that are not successfully received will remain at the head of the buffer and be retransmitted until they are successfully received, which increases the proportion of active BSs and aggravates the ICI in turn. To better analyze this coupled relationship, the ICI is analyzed with the aid of the probability generating function and the Laplace transform. Then a queuing model is established to depict the packet arrival and departure processes. Some important system metrics, including the outage probability, the buffer empty probability, and the stable throughput region, are derived. Numerical results verify our theoretical analysis, and it is revealed that packet retransmission can enhance the system performance when the packet request rate is within the stable throughput region.