An Energy-Efficient Task Scheduling Mechanism with Switching On/Sleep Mode of Servers in Virtualized Cloud Data Centers

Table 1

Iterative algorithm to obtain the rate matrix R.

Step	Operation
Step1	Initialize the error precision ε (for example, ε = 10^−8)
	Initialize M, d, λ, μ, and θ as needed
	Initialize the rate matrix R = 0
Step2	Input B, A, and C
Step3	Calculate R^∗ by R^∗ = R^2 × B + R × (A + I) + C
	% I is an identity matrix %
Step4	if (||R^∗ − R||∞ > ε) {
	R = R^∗
	R^∗ = R^2 × B + R × (A + I) + C
	Go to Step 4}
	else {Go to Step 5}
Step5	R = R^∗