Packet reception ratios in two-dimensional broadcast ad hoc networks

In this paper, for the first time, an analytic model is built to derive broadcast packet reception ratios (PRRs) in IEEE 802.11 based general two-dimensional (2-D) mobile ad-hoc networks (MANETs). First, the reception probability that a node within transmission range of a sending node receives the broadcast message successfully is computed. Then, the PRRs are derived through integration of the reception probabilities over the circular intended range of the sending node. The analytical model takes disk-shaped communication ranges, IEEE 802.11 backoff counter process, hidden terminal problem, and non-saturated message arrival interval into account. Finally, as an example, the proposed analytic model is applied to a typical MANET: vehicular ad-hoc networks (VANETs). From the obtained numerical results under various network parameters, the new model is validated and new observations are obtained.