The extreme issues related to energy consumption and connectivity within the network in mobile wireless sensor network indulges so many researchers to find out the optimal solutions. This paper presents a new probabilistic algorithm to analyze the network connectivity by taking in account the parameters like network probability, detection area, radius of the individual nodes and whole detection area etc. The targated area is taken for free space propagation. This methodology ensures the network connectivity, sustainability of communication and optimizes the energy consumption at utmost level. The probability theory has been used to find out a feasible mathematical network model. In this model the variation of sensor nodes with respect to the detection area has been observed and analyzed. Also, the relationship between communication radius, sensor nodes deployed, and detection area has been identified. A new algorithm is also proposed to optimize energy and maintain the connectivity by increasing the connectivity factor. Also the simulation graph of the proposed model is presented to validate the mathematical network model.

与移动无线传感器网络中的能源消耗和网络内的连接性相关的极端问题使许多研究人员沉迷于寻找最佳解决方案。本文提出了一种新的概率算法，通过考虑网络概率，检测区域，单个节点的半径和整个检测区域等参数来分析网络连通性。将合并区域用于自由空间传播。这种方法可确保网络连通性，通信的可持续性，并最大限度地优化能耗。概率理论已被用来寻找可行的数学网络模型。在该模型中，已经观察和分析了传感器节点相对于检测区域的变化。还有，通讯半径之间的关系 部署了传感器节点，并确定了检测区域。还提出了一种新算法，可通过增加连通性因子来优化能量并保持连通性。并给出了所提出模型的仿真图，以验证数学网络模型。