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In this paper, we consider the problem of energy holes and unbalanced energy consumption in many-to-one sensor network due to uniform deployment. Traffic patterns in (M: 1) network, the nodes closer to a sink carry heavy traffic loads via multi-hop transmission. This results, energy depletion within the area at an increased rate and ultimately leads to energy holes around the sink. Such hot-spots are more likely to occur closer to the sink instead of any other geographical area spanned by the network. Formation of energy holes means that data can no longer be delivered to the sink on a certain path and the entire network may dysfunction. We have defined this particular time instance as the total network lifetime. In our proposed deployment strategies the sensor nodes are placed in Gaussian fashion. Our aim is to mitigate the energy hole around the sink. Simulation results shows that the proposed technique maximizes the network lifetime, data delivery, Network energy consumption and minimize the residual energy by reducing the chances of energy-hole formation in the sink's immediate locality.