  The emergence of large-scale wireless networks with partially-observable and
time-varying dynamics has imposed new challenges on the design of optimal
control policies. This paper studies efficient scheduling algorithms for
wireless networks subject to generalized interference constraint, where mean
arrival and mean service rates are unknown and non-stationary. This model
exemplifies realistic edge devices' characteristics of wireless communication
in modern networks. We propose a novel algorithm termed MW-UCB for generalized
wireless network scheduling, which is based on the Max-Weight policy and
leverages the Sliding-Window Upper-Confidence Bound to learn the channels'
statistics under non-stationarity. MW-UCB is provably throughput-optimal under
mild assumptions on the variability of mean service rates. Specifically, as
long as the total variation in mean service rates over any time period grows
sub-linearly in time, we show that MW-UCB can achieve the stability region
arbitrarily close to the stability region of the class of policies with full
knowledge of the channel statistics. Extensive simulations validate our
theoretical results and demonstrate the favorable performance of MW-UCB.
