Stimulated Brillouin scattering fast light based on doublet broadband Brillouin absorption resonances was numerically investigated by using fast Fourier transform algorithm. The simulation results show that the time advancement, attenuation and broadening factor of signal pulse are readily tailored by relative frequency separation factor of two pump, pump power and length of fiber. The maximum advancement of 80 ps and the minimum broadening factor of 0.87 are achieved for 224 ps Gaussian signal pulse by optimizing relative frequency separation factor of two pump light, power and length of fiber. These will lead to increase the data rate of optical system and reduce the pulse distortion.