中文摘要：

针对无线传感器网络能耗这一问题,提出了一种基于几何学概率的能耗估计模型。以节点的状态转换为基础,建立了基于半Markov链的节点能耗模型,并引入概率分布函数的概念。从传感器节点随机分布出发,假定节点之间可以相互通信,分别对在单个正六边形和相邻两个正六边形内的节点随机分布进行研究,推导得出能耗估计模型。仿真结果表明：该模型可以实现网络能耗的准确估计。

英文摘要：

Aiming at problem of energy consumption in wireless sensor networks（ WSNs）,propose an energy consumption estimation model based on geometric probability approach. This model establishes a model for node energy consumption based on semi-Markov chain on the basis of conversion of node state,and introduce the concept of probability distribution function. Start from random distribution of sensor nodes,assume that nodes can communicate with each other and research on random distribution of nodes in single regular hexagon and two adjacent hexagonals. Derive and obtain energy consumption estimation model. Simulation results shows that the proposed model can achieve accurate estimation of energy consumption of WSNs.