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Since we are not able to replace the battery in a wireless sensor network, the issues of energy and lifetime are the most important parameters. In asymmetrical networks, different sensors with various abilities are used. Super nodes, with higher power and wider range of communication in comparison with common sensors, are used to cause connectivity and transmit data to base stations in these networks. It is crucial to select the parameters of fit function and monitoring sensors optimally in a point covering network. In this paper, we utilized an algorithm to select monitoring sensors. The selection is done by using the novel exponential relation released in this paper. This relation takes remained energy into consideration. This method increases lifetime, decreases and balances energy consumption as confirmed by simulation results.