Talk:Containers/Guarantees for resources

Hi, I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation will make 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 natural condition under (2) holds.

Cheers,

Gyula