Advances in Mobile Cloud Computing Systems

Toward Energy-Efficient Task Execution in Mobile Cloud Computing 55

Specifically, under the probabilistic performance requirement, the

optimization problem in Equation 2.7 can be rewritten as,

min

{f (w)}

κ

W

ρ



w=1

F

c

W

(w)[f (w)]

2

, (2.8)

s.t.

W

ρ



w=1

1

f (w)

≤T

d

, (2.9)

f (w) > 0, (2.10)

where Equation 2.8 denotes the total energy consumption during

all of these CPU cycles, and Equation 2.9 corresponds to the delay

constraint.

∗

This constrained optimization problem can be solved

analytically via Largrangian multiplier method and the results are

summarized in Theorem 2.1. The derivation of Theorem 2.1 can be

foundin[56].

Theorem 2.1 For the mobile execution, the optimal ...