The study introduces the cell load estimation problem in the context of cell switching (CS) optimization for cellular networks integrated with high-altitude platform stations (HAPS). The problem arises from the fact that the traffic loads of sleeping base stations (BSs) for the next time slot cannot be perfectly known, but rather need to be estimated, and any estimation error can lead to suboptimal CS decisions.
The authors formulate the CS optimization problem and develop two Q-learning algorithms: a full-scale design (FSD) and a lightweight design (LSD). They investigate the performance of these algorithms under different cell load estimation error scenarios and compare them to an exhaustive search (ES) algorithm.
The results confirm that the estimation error can change the CS policy, leading to divergence from the optimal performance. However, both the FSD and LSD Q-learning algorithms perform well, with an insignificant difference (0.3%) compared to the optimal ES algorithm, even in the presence of estimation errors.
The authors also analyze the computational complexity of the proposed algorithms, showing that the LSD approach significantly reduces the computational cost compared to the FSD, while maintaining a similar performance.
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