In the article the theoretical principles were justified, methodological and practical recommendations to enhance the effectiveness of the information system were proposed. The analysis of the basic models of genetic algorithms to find the best solutions in the information system was suggested. The basic aspects of genetic algorithms for their use in evolutionary modeling were described. The genetic algorithm for handling the selection criteria and selection decisions required population was suggested. The existing approaches and methods of using genetic algorithms for solving multi-objective optimization are provided. The computational complexity of genetic algorithm search for optimal solutions were analysed.