%0 Journal Article
%T 不同拓扑结构下无线传感器网络可靠性模型<br>Reliability Models of Wireless Sensor Networks with Different Topologies
%A 丁铭
%A 杨剑锋
%J Pure Mathematics
%P 539-548
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/PM.2024.142052
%X 无线传感器网络系统的拓扑结构种类繁多，节点连接方式不尽相同，在不同场景下往往会采用不同的拓扑结构模型。因此，探究不同拓扑结构下无线传感器网络的可靠性模型尤为必要。本文采用串联、并联以及连续k/n(G)系统等典型系统作为案例，在系统中各节点失效独立的条件下，构建无线传感器网络系统的可靠度一般模型，讨论在系统中各节点寿命分布均服从于Weibull分布，且尺度参数不变时，系统可靠度在不同形状参数下的变化趋势，并结合案例进行计算。结果表明，串联系统的可靠度低于并联系统和连续k/n(G)系统，当节点寿命分布的形状参数大于1时，系统具有较高的可靠性；当系统中的节点数相同时，环型拓扑网络系统的可靠度最弱。<br />
There are many kinds of topologies of wireless sensor network systems, the node connection meth-ods are different, and different topology models are often used in different scenarios. Therefore, it is necessary to explore the reliability model of wireless sensor networks under different topologies. In this paper, a typical system such as series, parallel and continuous k/n(G) systems are used as ex-amples, under the condition that each node in the system fails independently, a general model of the reliability of the wireless sensor network system is constructed, and the variation trend of the reliability of the system under different shape parameters is discussed when the life distribution of each node in the system is subject to the distribution and the scale parameters remain unchanged, and the case is calculated. The results show that the reliability of the series system is lower than that of the parallel system and the continuous k/n(G) system, and the system has higher reliability when the shape parameter of the node life distribution is greater than 1. When the number of nodes in the system is the same, the reliability of the ring topology network system is the weakest.
%K 无线传感器网络，拓扑结构，可靠性<br>Wireless Sensor Networks
%K Topology
%K Reliability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=81416