The problem of high-speed transport for cold atoms with minimal heating has received considerable attention in theory and experiment. Much theoretical work has focused on solutions of general problems, often assuming a harmonic trapping potential or a 1D geometry. However in the case of optical conveyor belts these assumptions are not always valid. Here we present experimental and numerical studies of the effects of various motional parameters on heating and retention of atoms transported in an optical conveyor. Our numerical model is specialized to the geometry of a moving optical lattice and uses dephasing in the density matrix formalism to account for effects of motion in the transverse plane. We verify the model by a comparison with experimental measurements, and use it to gain further insight into the relationship between the conveyors performance and the various parameters of the system.