Air suction in a naturally aspirated engine is a crucial influencing parameter to dictate the specific fuel consumption and emissions. For a multi-cylinder engine, a turbocharger can well address this issue. However, in a single or two-cylinder engine, the usage of turbocharger is not recommended, due to the lack of availability of continuous exhaust energy pulses. A supercharger solution comes handy in this regard for a single or two-cylinder engine. In this exercise, we explore the possibility of the usage of a positive displacement type supercharger, to enhance the air flow rate of a single cylinder, naturally aspirated, diesel engine for genset application, operating at 1500 rpm. The supercharger parametric 3D CAD model was prepared in Creo, with (a) Generating radius, (b) depth of blower and (c) clearance between lobes & lobe and casing, being treated as three parameters. The optimum supercharger design was expected to (a) generate a boost pressure of minimum 0.4 bar (gauge), (b) manifest a minimum hydraulic efficiency of 40% and (c) consume a maximum 2.8 kW hydraulic power. The baseline DoE using Sobol algorithm generates 28 designs, which was simulated using the Ansys CFX software via modeFRONTIER process automation. A sensitivity analysis of the input variables on the response variables establishes that generating radius was the most dominant parameter influencing the pressure, efficiency and power consumption. A detailed Response Surface analysis using 12 different algorithms showed that, Anisotropic Kriging captures the pressure variable accurately, while Gaussian Process captures the efficiency and power consumption with the best accuracy as per R-squared comparison. A virtual optimization conducted using the favourite RSMs using the MOGA algorithm generated an optimum supercharger design which complies all the constraints for pressure, efficiency and power. RSM optimized design is further validated in the CFX software, and the results for response variables were accurate within 6% error margin. RSM, thus, proved to be a fast and robust tool to optimize the positive displacement type supercharger geometries.