  We study theoretically phonon-assisted relaxation and tunnelling in a system
composed of a quantum dot which is coupled to a quantum well. Within the kp
method combined with the L\"owdin elimination, we calculate the electron
states. We calculate acoustic phonon-assisted relaxation rates between the
states in the quantum well and in the quantum dot and study the resulting
electron kinetics. We show that transition efficiency crucially depends on the
system geometry. We show also that under some conditions, transition efficiency
can decrease with the temperature.
