{'fraction_non_alphanumeric': 0.021536252692031587, 'fraction_numerical': 0.004307250538406317, 'mean_word_length': 5.833333333333333, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
D2D-enabled Multicast Optimal Scheduling in mmWave Cellular Networks

MmWave communications have been considered as the key enablers for future mobile cellular networks. The narrow beam communication of the mmWave large-scale antenna system suppresses co-channel interference and has greater potential for parallel communication and spatial multiplexing. Meanwhile, the introduction of multicast via point-to-multipoint communications further improves the spectrum efficiency for mmWave small cells. In order to reduce energy consumption, concurrent transmission and device-to-device (D2D)-enabled multicast has attracted great interests of many researchers, and some heuristic solutions have been provided. In this paper, we propose an optimal D2D-enabled multicast scheduling policy (OSP) aiming to minimize energy consumption in mmWave cellular networks. The optimal scheduling strategy is obtained by formulating the joint optimization of D2D pairing, parallel link selection and time slot allocation into an integer linear program (ILP) problem. Specifically, the concurrent transmissions which globally maximizes the spatial sharing gain while consuming the least energy at each time slot are identified by solving the ILP problem. Extensive simulations results demonstrate that our proposed algorithm reduces energy consumption by more than 18% compared with the baselines in all cases.