Stochastic analysis of Aloha in vehicular ad hoc networks

The aim of this paper is to study the Aloha medium access (MAC) scheme in 1D, linear networks, which might be an appropriate assumption for vehicular ad hoc networks. We study performance metrics based on the signal over interference plus noise ratio assuming power-law mean path-loss and independent point-to-point fading. We derive closed formulas for the capture probability. We consider the presence or the absence of noise and we study performance with outage or with adaptive coding. We carry out the joint optimization of the density of packet progress (in bit-meters) both in the transmission probability and in the transmission range. We also compare the performance of slotted and non-slotted Aloha. We show that in contrast to planar networks the density of packet progress per unit of length does not increase with the network node density.