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Harder Inconel alloy was machined using the unconventional technique wire electric discharge machining. The parameters selected for studies are Current, pulse on time voltage and pulse off time. Material Removal Rate and Surface roughness was recorded as responses. The experiments were designed using taguchi orthogonal array. The results obtained were optimized using Grey Relational Analysis (GRA). The results revealed that the current was the most influential factor followed by the pulse on time. The better surface roughness was achieved when machined with lower current intensity and higher pulse ratio. Highest material removal rate was achieved when machined with higher current intensity.