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针对IEEE 802.16m提出的新的休眠模式,为了定量刻画系统参数对系统性能的影响、优化设计系统参数,将有数据传输的扩展监听窗口抽象为忙期,无数据传输的监听窗口及之后的休眠窗口抽象为休假期,建立一个多重休假排队模型.结合Best Effort业务,考虑忙期长度与休假期长度之间的相互依赖关系,令首个休假长度随机变化,之后的休假长度按照指数方式增长.利用嵌入马尔科夫链方法,导出排队系统的稳态解,给出能量节省率及响应时间等性能指标的表达式.结合数值实验与仿真实验,揭示不同性能指标之间的折衷关系.构造成本函数,对休眠周期等系统参数进行优化设置,为IEEE 802.16m休眠模式的算法改进提供理论依据.
In order to quantitatively describe the influence of system parameters on the system performance, aiming at the new sleep mode proposed by IEEE 802.16m, the system parameters are optimized and the extended listening window with data transmission is abstracted as busy period, listening window without data transmission and dormancy The window abstraction establishes a multiple vacations queuing model for the vacation.With the Best Effort business, considering the interdependence between the length of the busy period and the length of the vacation, the length of the first vacation varies randomly and then the length of the vacation increases exponentially. Using the embedded Markov chain method, the steady-state solution of the queuing system is deduced, and the expression of the performance index such as the energy saving rate and the response time is given. Combining the numerical experiment and the simulation experiment, the trade-off relationship between different performance indexes is revealed. Function to optimize the system parameters such as dormancy period, and provide theoretical basis for the algorithm improvement of IEEE 802.16m sleep mode.