A 3D spatial deployment method for the optimal number of UAVs is proposed based on full coverage for users with different service quality requirements. The number of UAV base stations deployed is minimized by optimizing the 3D spatial location of UAV base stations. Firstly, the maximum service radius and the optimal height of UAV base stations are calculated. Secondly, a partial altruistic game is used to model the UAV deployment for purpose of proving that this research is an exact potential game process. Finally, the lower limit of the required number of UAV base stations is calculated, and an algorithm based on hyperheuristic methodology is designed to approximate by iteration the Nash equilibrium point under the maximum coverage requirement. The optimal de-ployment location of UAV base stations is then achieved, and the minimum number of UAV base stations with full coverage is determined. The simulation results show that the proposed solution has significant advantages in min-imizing the number of UAVs and accelerating the convergence speed.
LU Fangxu
,
MI Zhichao
,
MA Jun
,
LI Aijing
,
WANG Hai
. Optimal 3D placement of multi-QoS UAV base station based on potential game for communications[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022
, 43(9)
: 326137
-326137
.
DOI: 10.7527/S1000-6893.2021.26137
[1] CHETTRI L, BERA R. A comprehensive survey on Internet of Things (IoT) toward 5G wireless systems[J]. IEEE Internet of Things Journal, 2020, 7(1): 16-32.
[2] ZHANGP, MIAO J, HU Z, et al. A survey of ubiquitous network[J]. Journal of Beijing University of Posts and Telecommunications, 2010, 33(5): 1-6 (in Chinese). 张平, 苗杰, 胡铮, 等. 泛在网络研究综述[J]. 北京邮电大学学报, 2010, 33(5): 1-6.
[3] LI B, FEI Z S, ZHANG Y. UAV communications for 5G and beyond: Recent advances and future trends[J]. IEEE Internet of Things Journal, 2019, 6(2): 2241-2263.
[4] HOURANI A, KANDEEPAN S, LARDNER S. Optimal LAP altitude for maximum coverage[J]. IEEE Wireless Communication Letters, 2014, 3(6): 569-572
[5] WANG B, OUYANG J, ZHU W P, et al. Optimal altitude of UAV-BS for minimum boundary outage probability with imperfect channel state information[C]//2019 IEEE/CIC International Conference on Communications in China (ICCC). Piscataway: IEEE Press, 2019.
[6] MOZAFFARI M, SAAD W, BENNIS M, et al. Drone small cells in the clouds: Design, deployment and performance analysis[C]//2015 IEEE Global Communications Conference. Piscataway: IEEE Press, 2015: 1-6.
[7] CHEN Y C, LI N, WANG C, et al. A 3D placement of unmanned aerial vehicle base station based on multi-population genetic algorithm for maximizing users with different QoS requirements[C]//2018 IEEE 18th International Conference on Communication Technology. Piscataway: IEEE Press, 2018: 967-972.
[8] OMRAN A, SBOUI L, KADOCH M, et al. 3D deployment of multiple UAVs for emergent on-demand offloading[C]//2020 International Wireless Communications and Mobile Computing (IWCMC). Piscataway: IEEE Press, 2020: 692-696.
[9] JANG I, SHIN H S, TSOURDOS A. Anonymous hedonic game for task allocation in a large-scale multiple agent system[J]. IEEE Transactions on Robotics, 2018, 34(6): 1534-1548.
[10] KOULALI S, SABIR E, TALEB T, et al. A green strategic activity scheduling for UAV networks: A sub-modular game perspective[J]. IEEE Communications Magazine, 2016, 54(5): 58-64.
[11] NEMER I A, SHELTAMI T R, MAHMOUD A S. A game theoretic approach of deployment a multiple UAVs for optimal coverage[J]. Transportation Research Part A: Policy and Practice, 2020, 140: 215-230.
[12] XU Y H, WANG J L, WU Q H, et al. Opportunistic spectrum access in cognitive radio networks: Global optimization using local interaction games[J]. IEEE Journal of Selected Topics in Signal Processing, 2012, 6(2): 180-194.
[13] MONDERER D, SHAPLEY L S. Potential games[J]. Games and Economic Behavior, 1996, 14(1): 124-143.
[14] MOZAFFARI M, SAAD W, BENNIS M, et al. Unmanned aerial vehicle with underlaid device-to-device communications: Performance and tradeoffs[J]. IEEE Transactions on Wireless Communications, 2016, 15(6): 3949-3963.
[15] MIRJALILI S, MIRJALILI S M, LEWIS A. Grey wolf optimizer[J]. Advances in Engineering Software, 2014, 69: 46-61.
[16] ZHONG X J, GUO Y, LI N, et al. Joint optimization of relay deployment, channel allocation, and relay assignment for UAVs-aided D2D networks[J]. IEEE/ACM Transactions on Networking, 2020, 28(2): 804-817.
[17] ZHONG X J, GUO Y, LI N, et al. Deployment optimization of UAV relays for collecting data from sensors: A potential game approach[J]. IEEE Access, 7: 182962-182973.