On the rate of successful transmissions in finite slotted Aloha MANETs
On the rate of successful transmissions in finite slotted Aloha MANETs
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DOI：
10.1016/j.adhoc.2017.04.005
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发表时间：
2017-07
期刊：
影响因子：
4.8
通讯作者：
Yin Chen;Jinxiao Zhu;Yulong Shen;Xiaohong Jiang;H. Tokuda
中科院分区：
文献类型：
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作者：
Yin Chen;Jinxiao Zhu;Yulong Shen;Xiaohong Jiang;H. Tokuda
采用 Aloha MAC 协议 (A-MANET) 的移动自组织网络 (MANET) 代表了一类重要且有吸引力的网络。本文研究了在具有有限节点数和一类“均匀型”移动模型的实际 A-MANET 中的成功传输率（RST），这是衡量平均成功传输量的性能指标。我们首先为相关有限 A-MANET 的时间建模开发了一个新的理论框架，并证明随着时间的发展，网络分布收敛到二项式点过程。借助网络的收敛性和随机几何理论，我们对 RST 进行了分析。特别是，我们表明，尽管导出有关网络的 RST 的精确表达式非常麻烦（如果不是不可能的话），但在典型的最近邻/接收器传输策略下，可以对 RST 进行非常有效的近似，其精确度达到随网络节点数量呈指数级增长的加性渐近误差。最后，我们提供了广泛的模拟/数值结果来说明我们的 RST 建模和理论发现的效率。
Mobile ad hoc networks (MANETs) with Aloha MAC protocol (A-MANETs) represent a class of important and attractive networks. This paper studies the Rate of Successful Transmissions (RST), a performance index that measures the average amount of successful transmissions, in a practical A-MANET with finite number of nodes and a class of “uniform-type” mobility models. We first develop a new theoretical framework for the temporal modeling of the concerned finite A-MANET, and prove that as time evolves the network converges in distribution to a Binomial point process. With the help of the convergence property of the network and stochastic geometry theory, we then provide our analysis on the RST. In particular, we show that although it is highly cumbersome (if not impossible) to derive the exact expression for the RST of the concerned network, it is possible to have very efficient approximations to the RST under the typical nearest neighbor/receiver transmission policy, which are accurate up to an additive asymptotic error vanishing exponentially with the number of network nodes. Finally, we provide extensive simulation/numerical results to illustrate the efficiency of our RST modeling and our theoretical findings.