Modeling and Analysis of Slotted ALOHA Systems With Energy Harvesting Nodes and Retry Limit
Modeling and Analysis of Slotted ALOHA Systems With Energy Harvesting Nodes and Retry Limit
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DOI：
10.1109/access.2018.2877424
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发表时间：
2018-10
期刊：
影响因子：
3.9
通讯作者：
K. Sakakibara;Kento Takabayashi
中科院分区：
文献类型：
--
作者：
K. Sakakibara;Kento Takabayashi
通过建立一个以节点为中心的二维离散时间马尔可夫链（DTMC）模型，分析了具有能量收集节点的时隙ALOHA系统的性能和重试限制。我们不仅考虑了传输数据包时消耗的能量包的数量，而且考虑了能量包到达过程的一般概率分布。我们假设，在一个节点的数据和能量缓冲区的容量是一个包和$E$包，分别。根据平衡点分析的概念，我们推导出了一个关于传输数据包的节点比例的不动点方程。通过计算机仿真验证了由不动点方程得到的理论结果的准确性。在能量包泊松到达过程下的数值结果表明，吞吐量、提供流量和丢弃概率表明了数据包生成概率与平均能量包到达数之间的弱对称关系.然而，当到达的能量包的平均数量变小时，平均传输延迟迅速增加。
We analyze the performance of slotted ALOHA systems with energy harvesting nodes and the retry limit by developing a node-centric two-dimensional discrete-time Markov chain (DTMC) model. We consider not only the number of energy packets consumed when a data packet is transmitted but also a general probability distribution of an energy packet arrival process. We assume that the capacities of data and energy buffer at a node are one packet and $E$ packets, respectively. According to the concept of the equilibrium point analysis, we derive a fixed point equation with respect to the ratio of nodes transmitting a data packet. The accuracy of theoretical results obtained from the fixed point equation is verified by computer simulation. Numerical results under Poisson arriving process of energy packets indicate that throughput, the offered traffic, and the discard probability demonstrate the weak symmetric relationship between the data packet generation probability and the average number of arriving energy packets. However, the average transmission delay rapidly increases when the average number of arriving energy packets becomes small.