The important role of electricity generation in the power system is evident AND is growing more AND more with innovative technologies AND requirements. Hence, addressing the combined heat AND power economic dispatch (CHPED) as one of the relatively new issues in the power system operation AND control is more importance. Since the CHPED problem is a non-smooth, highly non-LINEAR, AND non-CONVEX one, it is required to solve it so that an optimal global solution can be achieved. In this paper, by applying the piece-wise LINEARization approach the CHPED problem is solved so that the problem reformulated to a quadratic optimization problem with LINEAR AND quadratic constraints. To demonstrate the applicability of the proposed model, four case studies are implemented in the GAMS software environment AND the results compared to the literature.