The rescaled range analysis technique has been implemented to investigate the multiparticle production dynamics of 16 O-Ag/Br interactions at 60A GeV and 32 S-Ag/Br interactions at 200A GeV. We have analyzed the properties like multifractality, scale-freeness, and correlation among the produced particles. We have also used the simulated event generators UrQMD and AMPT model to compare with the experimental data sets. It has been observed that for 16 O-Ag/Br interactions, the AMPT simulated data shows more consistency compared to both experimental and UrQMD simulated data. Similarly for 32 S-Ag/Br interactions, the experimental data set shows more long-term positive autocorrelation in comparison with AMPT and UrQMD simulated data sets. It has been also observed that the rescaled range analysis technique is very prominent to describe the multiparticle production dynamics in relativistic heavy ion collisions.