In this work we have presented some other aspects of the recently introduced GMV method (Genetic Monte Carlo Variational method). The CPU time of the method is computed and then we have applied the method to As0.7Sb0.3/GaAs quantum well to investigate the effect of the well width and Sb fraction on the diamagnetic shift. The effect of the Al doping instead of the Sb is also investigated. Key words: Genetic, Monte Carlo Variational method, quantum well, Pacs: 75.80.+q, 75.0.Gw.