In industrial manufacturing process for tube production the stress relieving is achieved by heating the part to be treated at a very uniform temperature. In the paper, the optimized design of an inductor for stress relieving at temperature close to 600° is considered. The design of the inductor is initially performed by means an automated-design using optimization algorithms and objective functions that are minimized. In the range of obtained solutions, some of them appear more promising in terms of heating uniformity. Starting from these improved solutions, a technologically acceptable solution is proposed. This technological feasible solution is selected between the ones obtained by means of a multi-objective optimization procedure and su...