Talk:Containers/Guarantees for resources - Revision history

212.108.246.192 at 05:25, 7 May 2010

2010-05-07T05:25:33Z

212.108.246.192 at 05:24, 7 May 2010

2010-05-07T05:24:48Z

212.108.246.192 at 20:06, 6 May 2010

2010-05-06T20:06:04Z

212.108.246.192 at 19:59, 6 May 2010

2010-05-06T19:59:27Z

212.108.246.192: Created page with '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 gro…'

2010-05-06T19:58:42Z

Created page with 'Hi, I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation makes sense only if: <code>(1) ∀ i: Li >= Gi</code> Otherwise, the gro…'

New page

Hi,
I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation makes sense only if:

<code>(1) ∀ i: Li >= Gi</code>

Otherwise, the group limit is to strict.Obviously it's required that:

<code>(2) ∑ Gi <= R </code>

, and the above condition is enough:

<code>(3) L1 = (1/N-1) * ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > G1 </code>

⇔

<code>(4) ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > (N-1)*G1</code>

⇔

<code>(5) (N-1)*R-(G2+G3+...+Gn)-(N-2)*R+(N-2)*G1 > (N-1)*G1</code>

⇔

<code>(6) R - (G2+G3+...+Gn) + (N-2)*G1 > (N-1)*G1</code>

⇔

<code>(7) R > G2+G3+...+Gn+G1</code>

Thus limiting is only useful if the trivial condition under (2) holds.

Cheers,

Gyula

@@ Line 10: / Line 10: @@
 , and the above condition is enough:
-<code>(3) L1 = (1/N-1) * ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > G1 </code>
+<code>(3) L1 = (1/N-1) * ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) >= G1 </code>
 &hArr;
-<code>(4) ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) > (N-1)*G1</code>
+<code>(4) ((R-G2)+(R-G3)+...+(R-Gn) - (N-2)*(R-G1)) >= (N-1)*G1</code>
 &hArr;
-<code>(5) (N-1)*R-(G2+G3+...+Gn)-(N-2)*R+(N-2)*G1 > (N-1)*G1</code>
+<code>(5) (N-1)*R-(G2+G3+...+Gn)-(N-2)*R+(N-2)*G1 >= (N-1)*G1</code>
 &hArr;
-<code>(6) R - (G2+G3+...+Gn) + (N-2)*G1 > (N-1)*G1</code>
+<code>(6) R - (G2+G3+...+Gn) + (N-2)*G1 >= (N-1)*G1</code>
 &hArr;
-<code>(7) R > G2+G3+...+Gn+G1</code>
+<code>(7) R >= G2+G3+...+Gn+G1</code>
 Thus limiting is only useful if the natural condition under (2) holds.

@@ Line 1: / Line 1: @@
 Hi,
-I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation makes sense only if:
+I guess limiting is only useful when there's enough room for all groups. Eg.: the calculation will make sense only if:
 <code>(1) &forall; i: Li >= Gi</code>