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This paper reports an experimental investigation of EDM drilling of Ø2 mm holes on Inconel 718 using brass electrode. The effect of process parameters (discharge current, pulse on and off times, and capacitance) on process outputs (material removal rate and electrode wear rate) was determined based on minimum number of experiments. The mathematical modeling of process has been done using response surface methodology. The results show that the developed model can achieve reliable prediction of experimental results within acceptable accuracy.