The experimental findings like the fast electronic energy relaxation in quantum dots, the fast decrease of photoluminescence from the ground state following the resonant excitation of quantum dot to the excitonic ground state, or the incomplete depopulation of excited state of electronic system of the quantum dot, or the effect of upconversion of population of electronic states and upconversion of photoluminescence (anti-Stokes luminescence) of quantum dots have attracted attention recently. These effects are sometimes interpreted in terms of carrier–carrier interaction in samples with quantum dots, intermediate states in quantum dot samples, thermal excitation of phonon subsystem and two-photon absorption. Basing on numerical calculations performed with relatively simple, but rather realistic, a model of two level quantum dot with a single electron coupled to phonons, we suggest to interpret the above phenomena in terms of the interaction of the electronic system of quantum dot with longitudinal optical phonons. In contrast to the lowest order effect of the optical line broadening and the continuous background in photoluminescence excitation experimental data observed in the presence of highly populated wetting layer, we show that the above listed effects are due to multiple scattering of electron in quantum dot, leading to multiphonon states of the optical phonon system. Using the technique of the non-equilibrium Green's functions we present the kinetic equations describing the relaxation process of the electronic system interacting with phonons. The numerical results are found in an interesting agreement with the available experimental data.