To tackle several combinatorial optimization problems, genetic algorithms were frequently used as powerful evolutionary methods. However, performance of these algorithms is heavily dependent on finding appropriate parameters and operators. This phenomenon is known as the parameter tuning problem. The latter falls into the category of hard problems. Therefore, we develop a heuristic approach for effective parameter tuning of genetic algorithms. We also focus on determining the most appropriate genetic operators. Our approach detects the promising available set of parameters. For the practical demonstration, we tackle the sum coloring of graphs. Results show the practical performance of the proposed method to enhance the genetic algorithm.