Application

1

Application

2

Application

3

Application

4

Resource

Allocation Network

Services

Network

Services

Network

Services Storage

Services

Storage

Services

Storage

Services

Runtime1(r(0,1), …, r(n-1,1))

Runtime1

Pen

alt

y1

Continuously

minimize the total

penalty of the system

Runtime2 (r(0,2), …, r(n-1,2)) Runtime2

Runtimei (r(0,i), …, r(n-1,i))

Runtimei

Pen

alt

y2

Pen

alt

yi

(subject to the total

resources available)

.

.

.

System Power(r(0,0), …, r(n-1,0))

System Power

Pen

alt

y0

.

.

.

.

.

.

.

.

.

.

.

.

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