  Delivery of broadcast messages among vehicles for safety purposes, which is
known as one of the key ingredients of Intelligent Transportation Systems
(ITS), requires an efficient Medium Access Control (MAC) that provides low
average delay and high reliability. To this end, a Geo-Location Based Access
(GLOC) for vehicles has been proposed for Vehicle-to-Vehicle (V2V)
communications, aiming at maximizing the distance of co-channel transmitters
while preserving a low latency when accessing the resources. In this paper we
analyze, with the aid of stochastic geometry, the delivery of periodic and
non-periodic broadcast messages with GLOC, taking into account path loss and
fading as well as the random locations of transmitting vehicles. Analytical
results include the average interference, average Binary Rate (BR), capture
probability, i.e., the probability of successful message transmission, and
Energy Efficiency (EE). Mathematical analysis reveals interesting insights
about the system performance, which are validated thought extensive Monte Carlo
simulations. In particular, it is shown that the capture probability is an
increasing function with exponential dependence with respect to the transmit
power and it is demonstrated that an arbitrary high capture probability can be
achieved, as long as the number of access resources is high enough. Finally, to
facilitate the system-level design of GLOC, the optimum transmit power is
derived, which leads to a maximal EE subject to a given constraint in the
capture probability.
