  In this paper, we provide the model of the multilayer aerial network (MAN),
composed unmanned aerial vehicles (UAVs) that distributed in Poisson point
process (PPP) with different densities, heights, and transmission power. In our
model, we consider the line of sight (LoS) and non-line of sight (NLoS)
channels which is probabilistically formed. We firstly derive the probability
distribution function (PDF) of the main link distance and the Laplace transform
of interference of MAN considering strongest average received power-based
association. We then analyze the successful transmission probability (STP) of
the MAN and provide the upper bound of the optimal density that maximizes the
STP of the MAN. Through the numerical results, we show the existence of the
optimal height of UAV due to a performance tradeoff caused by the height of the
aerial network (AN), and also show the upper bounds of the optimal densities in
terms of the STP, which decrease with the height of the ANs.
