Energy Efficient Pico Cell Range Expansion and Density Joint Optimization for Heterogeneous Networks with eICIC

. 2018 Mar 2;18(3):762. doi: 10.3390/s18030762

Algorithm 3: Joint Pico CRE Bias and PBS Density Optimization (JBPDO) Algorithm.

1. Initialization:
(1) Initialize the network scenario and the values

λ_{u}

λ_{m}

B_{p}

and

ρ_{p, m}

, where

B_{p} \in (0, 25]

and

ρ_{p, m} \in (0, 30]

.
(2) Let

E E^{*} = 0

represent the initial optimal value of the network EE. Initialize algorithm iteration number

N_{l o o p} = 0

. Given a tolerance

ε > 0

.
(3) Denote

B_{p}^{*}

as the optimized PBS CRE bias. Denote

ρ_{p, m}^{*}

as the optimized ratio of PBS density to MBS density. Denote

λ_{p}^{*}

as the optimized PBS density.
2. Calculate the suboptimal CRE bias according to CBO Algorithm

B_{p}^{sub_opt} = \underset{B_{p}}{arg max E E} (B_{p}) |_{λ u}, ρ_{p, m}

B_{p} = B_{p}^{sub_opt}

3. Calculate the suboptimal ratio of PBS density to MBS density according to PDO Algorithm

\underset{ρ_{p, m}}{ρ_{p, m}^{sub_opt} = arg max E E} (ρ_{p, m}) |_{λ_{u}, B_{p}^{sub_opt}}

ρ_{p, m} = ρ_{p, m}^{s u b_o p t}

E E^{sub_opt} = E E (B_{p}^{s u b_o p t}, ρ_{p, m}^{s u b_o p t})

4. Termination of the loop
if

|E E^{sub_opt} - E E^{*}| > ε

then

E E^{*} = E E^{sub_opt}

N_{l o o p} = N_{l o o p} + 1

, go to step 2
else

B_{p}^{*} = B_{p}

ρ_{p, m}^{*} = ρ_{p, m}

λ_{p}^{*} = λ_{m} ρ_{p, m}^{*}

E E^{*} = E E^{sub_opt}

end if