  We study the spontaneous emission from a regular lateral array or a randomly
distributed ensemble of quantum dots under strong excitation (full inversion)
conditions. We focus on the similarities and differences between the cases of
random and regular arrangement of the dots and show that there is very little
difference between the evolution of luminescence in these two cases, both for
identical dots and for a realistically inhomogeneously broadened ensemble. This
means that the enhanced emission or superradiance effect is not due to
accidental clustering of pairs of dots. Moreover, we point out that observation
of an enhanced emission under weak excitation does not prove that true
superradiance will develop in a fully inverted system.
