Energy efficient scheme for better connectivity in sustainable mobile wireless sensor networks

•Identifies Energy Consumptions and Connectivity issues in wireless network.•Propose an Energy Efficient Algorithm for Sustainable MWSN (Mobile Wireless Sensor Network).•Validate the Proposed Model by Mathematical and Simulation Analysis.•Comparison of Proposed Method with Earlier Related Techniques. 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.