Stability and Capacity of Wireless Networks with Probabilistic Receptions : Part II — Regular Networks

We study the stability and capacity problems inregular wireless networks. In Part I, we characterized the stability and the capacity regions, and introduced policies sufficient to achieve every rate in these regions. In this part, we obtainclosed form expressions for the capacity of Manhattan (two-dimensional grid) and ring networks (circular array of nodes). We also find the optimal (i.e., capacity achieving) medium access and routing policies. Our objective in analyzing regular networks is to provide insights and design guidelines for general networks. The knowledge of the exact capacity enables us to quantify the performance loss due to suboptimal protocols (such as slotted ALOHA and random walk), and the effects of link fading and increasing connectivity.

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