International Science Community Association Research Journal of Mathematical and Statestical Sciences 13 3 2025 09 12 A Genetic Algorithm approach for Optimization Problems 14 19 EN Dorugade A. V. 1 Y.C. Mahavidyalaya, Halkarni, Tal- Chandgad, Kolhapur, MS - 416552, India Sharma H.L. 1 Department of Mathematics & Statistics, J.N. Agricultural University, Jabalpur, MP, India Shukla Vijayshankar 2 Computer Science and Engineering, Government Autonomous College, Satna, MP, India Shukla Varsha 3 Comptroller Office, J.N. Agricultural University, Jabalpur, MP, India > Research Article 2025 4 19 2025 09 12 This paper is concerned with a genetic algorithm approach for optimization problems considering an equality whose coefficients are chosen in such a way that they would represent the bits of genetic algorithms for minimization including six chromosomes of length three applying the operator cross over and mutation while a cubic function has been considered for maximization. In both cases, the fitness value of the population seems to be adequate and found satisfactorily well at least in one generation. These have been illustrated with two numerical examples added at the end. Copyright@ International Science Community Association