引用本文:叶成荫,梁炜,郑萌.基于Stackerlberg和议价博弈的Femtocell网络功率控制[J].控制与决策,2019,34(8):1709-1713
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基于Stackerlberg和议价博弈的Femtocell网络功率控制
叶成荫1,2, 梁炜1, 郑萌1
(1. 中国科学院沈阳自动化研究所,沈阳110016;2. 辽宁石油化工大学计算机与通信工程学院,辽宁抚顺113001)
摘要:
针对Femtocell网络中存在的干扰问题,提出一种基于Stackerlberg博弈和议价博弈的功率控制策略.首先,给出既可以使Femtocell网络系统容量最大化,又可以体现效用公平的效用函数;然后,在保证宏小区用户效用最大化的条件下,考虑到Femtocell家庭用户的收益,给出Stackelberg博弈模型;接着,考虑到Femtocell家庭用户之间的效用公平和最小服务质量要求,给出基于议价博弈的Kalai-Smorodinsky议价解,并证明议价解的存在性和唯一性.使用拉格朗日乘子法给出宏小区的最优价格,保证宏小区的效用最大化.仿真结果表明,该策略在满足宏蜂窝网络效用最大化的情况下,不但能够满足Femtocell家庭用户最小服务质量需求和公平性,而且Femtocell网络的收益也能得到较好的保证.
关键词:  Stackerlberg博弈  议价博弈  Femtocell网络  功率控制  效用公平  Kalai-Smorodinsky议价解
DOI:10.13195/j.kzyjc.2017.1780
分类号:TN911
基金项目:国家重点研发计划项目(2016YFF0202701);国家自然科学基金项目(71661147005, 61673371).
Power control based on Stackelberg and bargaining game in Femtocell network
YE Cheng-yin1,2,LIANG Wei1,ZHENG Meng1
(1. Shenyang Institute of Automation,Chinese Academy of Sciences,Shenyang110016,China;2. School of Computer and Communication Engineering,Liaoning Shihua University,Fushun113001,China)
Abstract:
For the interference problem in the Femtocell network, a power control strategy is proposed based on the Stackelberg game and bargaining game theories. Firstly, a utility function is given to maximize system capacity and utility fairness. Then, under the condition of maximizing the utility of the Macrocell users, considering the revenue of the Femtocell users, a stackelberg model is proposed. After that, considering the utility fairness and minimum quality of service requirement between Femtocell users, the Kalai-Smorodinsky bargaining solution based on the bargaining game is given, and the existence and uniqueness of bargaining solutions are proved. The Lagrangian multiplier method is used to give the optimal price of the Macrocell, which ensures the utility of the Macrocell users. The simulation results show that the strategy can meet the minimum quality of service requirements of Femtocell users and ensure the fairness between the Femtocell users. Besides, the benefits of the Femtocell network can also be guaranteed.
Key words:  Stackelberg game  bargaining game  Femtocell network  power control  utility fairness  Kalai-Smorodinsky bargaining solution

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