  Emergence of various types of services has brought about explosive growth of
traffic as well as diversified traffic characteristics in the cellular
networks. To have a comprehensive understanding of the influences caused by
various traffic status is vital for the deployment of the next-generation
wireless networks. In this paper, we develop a mathematical analytical model by
utilizing queuing theory and stochastic geometry where the randomness of the
traffic and the geographical locations of the interferers can be captured. We
derive the b-th moments of the conditional success probability and the
closed-form expressions of the meta distribution for the cell-center users
(CCUs) and the cell-edge users (CEUs), respectively. Fixed-point equations are
then formulated to obtain the exact value of the meta distribution by taking
the random arrival traffic into consideration and the impact of the random
arrival traffic on the queue status is revealed. In addition, the mean local
delays for CCUs nad CEUs are derived and the corresponding regions for CCUs and
CEUs where the mean local delays maintain finite are obtained. Finally, the
impact of the critical network parameters on the meta distribution and the mean
local delay is investigated with the numerical results.
