Hi, I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation makes sense only if:
(1) ∀ i: Li >= Gi
Otherwise, the group limit is too strict.Obviously it's required that:
(2) ∑ Gi <= R
, and the above condition is enough:
(3) L1 = (1/N-1) * ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > G1
⇔
(4) ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > (N-1)*G1
⇔
(5) (N-1)*R-(G2+G3+...+Gn)-(N-2)*R+(N-2)*G1 > (N-1)*G1
⇔
(6) R - (G2+G3+...+Gn) + (N-2)*G1 > (N-1)*G1
⇔
(7) R > G2+G3+...+Gn+G1
Thus limiting is only useful if the trivial condition under (2) holds.
Cheers,
Gyula