Aiming at a simultaneous description of both the hard and the soft regime of ultra-relativistic heavy-ion collisions at RHIC and LHC, we present our recent progress in studying the nuclear modification factor R AA , the momentum imbalance of reconstructed di-jets A J , and the elliptic flow v 2 within the partonic transport model BAMPS (Boltzmann Approach to Multi-Parton Scatterings). By numerically solving the relativistic Boltzmann equation while using both elastic and inelastic perturbative QCD interactions together with an improved Gunion Bertsch matrix element and a running coupling, BAMPS allows the full 3+1D simulation of the quark-gluon plasma at the microscopic level. We show that when fixing the parameter X LPM resulting from the effective modeling of the Landau-Pomeranchuk-Migdal effect, we find not only a good description of R AA and A J , but also a sizable elliptic flow is built up within the partonic phase.