On the distribution of the time of the first communication release in wireless networks with caching

The function analyzes the time distribution of the first communication failure in D2D wireless networks as a function of the caching time, assuming that subscribers make a nonstationary random walk. This distribution function is constructed numerically on the basis of generation of an ensemble of nonstationary trajectories, a series of incremental increments of which is determined by solving the Fokker–Planck equation in the unit square in the plane with mirror reflection conditions from the boundaries. This method allows you to effectively solve the problems of stochastic control and analyze the conditions for the stability of connections in wireless networks.