  A fine-grained analysis of network performance is crucial for system design.
In this paper, we focus on the meta distribution of the
signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous
networks where the base stations (BS) in each tier are modeled as a Poisson
point process (PPP). By utilizing stochastic geometry and queueing theory, we
characterize the spatial and temporal randomness while the special
characteristics of mmWave communications, including different path loss laws
for line-of-sight and non-line-of-sight links and directional beamforming, are
incorporated into the analysis. We derive the moments of the conditional
successful transmission probability (STP). By taking the temporal random
arrival of traffic into consideration, an equation is formulated to derive the
meta distribution and the meta distribution can be obtained in a recursive
manner. The numerical results reveal the impact of the key network parameters,
such as the SINR threshold and the blockage parameter, on the network
performance.
