We discuss recent applications of the partonic perturbative QCD based cascade model BAMPS with focus on heavy-ion phenomeneology in hard and soft momentum range. First, the elliptic flow and suppression of charm and bottom quarks are studied at LHC energies. Thereafter, we compare in a detailed study the standard Gunion-Bertsch approximation of the matrix elements for inelastic processes to the exact results at leading order perturbative QCD. Since a disagreement is found, we propose an improved Gunion-Bertsch matrix element, which agrees with the exact result in all phase space regions. In addition to recent jet-quenching investigations we present results on the application of jet reconstruction algorithms in BAMPS. Finally, jet phenomena inducing collective effects such as Mach cones, are demonstrated in an expanding medium at relativistic heavy-ion collisions. We address the question, whether the signal of a Mach cones is the origin for a double peak structure in extracted two-particle correlations.