**Post: #1**

ANALYSIS OF SHORTEST PATH ROUTING FOR LARGE MULTI-HOP WIRELESS NETWORKS--- NETWORKING

In this paper, we analyze the impact of straight line routing in large homogeneous multi-hop wireless networks. We estimate the nodal load, which is defined as the number of packets served at a node, induced by straight line routing. For a given total offered load on the network, our analysis shows that the nodal load at each node is a function of the nodeâ„¢s Voronoi cell, the nodeâ„¢s location in the network, and the traffic pattern specified by the source and destination randomness and straight line routing. In the asymptotic regime, we show that each nodeâ„¢s probability that the node serves a packet arriving to the network approaches the products of half the length of the Voronoi cell perimeter and the load density function that a packet goes through the nodeâ„¢s location. The density function depends on the traffic pattern generated by straight line routing, and determines where the hot spot is created in the network. Hence, contrary to conventional wisdom, straight line routing can balance the load over the network, depending on the traffic patterns.

Technology to use:DOT NET