  In the recent review published in 2019, Malinovsky and Albert conjectured
analytical formulae of the optimal sample sizes for the modified Dorfman and
Sterret group testing schemes and verified the validity of the formulae
numerically within a broad range. However, the authors pointed out that they
were unable to give a rigorous proof of the stated conjectures. In this note,
we affirm and refine their hypotheses analitically thereby filling in the
present gap.
