This paper shows the application of evolutionary algorithm (SPEA) to determine the economic operation of power subsystem of Colombian Atlantic Coast considering only the generators units of this region of the country; this can be the solution when failures in the National Transmission System occur which disconnect the Caribbean coast from the rest of national land. The evaluate objective functions were: Power Production Costs and Losses on Transmission Lines. Performance of this algorithm was compare with the results obtained using traditional method E - Constraint. and that are shown in graphics of Pareto Optimal fronts in two dimensions. In addition, we develop an heuristic which determine the schedule to one specific operation day looking for the combination that minimize start, stop and generation costs in each stage. The main contributions of this paper are: the multiobjective model, the develop and solution of algorithm with computational complexity in polynomial time and contribution to energetic sector in Colombia.