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The present investigation mainly focuses on experimentation, analysis and optimization of machining parameters during WEDM on Inconel 825. Based on Box- Behenken Design, 29 experimental runs are executed on WEDM using 0.25mm dia half hard brass wire as tool electrode and de-ionized water as dielectric. Controllable parameters Ton, Toff, SV and WF are varied up to three levels to study their influence on output responses CS, Ig and Ra. Experimental models are developed employing response surface methodology (RSM). Design expert software 7.0.0 is considered for checking the adequacy of model. Regression and graphical analysis are done by analysis of Variance (ANOVA). Based on parametric analysis results, the control parameters Ton, Toff and SV have major influencing factors on responses whereas wire feed is insignificant. To achieve optimal parameter combination, multi-objective optimization of responses is performed using desirability approach. Confirmation test is performed at optimal combination of parameters provided by desirability function to validate the study. Hence, predicted value lies in correspondence with the experimental findings.