Joint Content Recommendation and Delivery in Mobile Wireless Networks with Outage Management

. 2018 Jan 15;20(1):64. doi: 10.3390/e20010064

Algorithm 1 Sum rate maximization algorithm.

Input: U, K, $P_{T}$ , $α_{u k}^{2}$

Output: $c_{u}$ , $P_{u}$

1:
(1) Initialization:

Let $A = {1, 2, \dots, K}$ denote unassigned subcarrier sets; $P_{u} = 0$ is the power allocated to user u; $c_{u k} = 0$ represents the number of bits allocated on the subcarrier k allocated to the user u; $c_{u} = 0$ indicates the total number of bits allocated to the user u; $A_{u} = ⌀$ denotes the set of subcarriers assigned to the user u;
2:
(2) Carrier allocation:
3:
for $u = 1, 2, \dots, U$ do
4:
find subcarrier k that minimizes $Δ p_{u k} (0)$ , and assign the subcarrier to the user u; meanwhile, $A_{u} = A_{u} \cup {k}$ , $A = A - {k}$
5:
if $A = ⌀$ then break;
6:
while $A \neq ⌀$ do
7:
find the subcarrier k with the smallest $Δ p_{u k} (0)$ in the set A, and assign them to the corresponding user u; meanwhile $A_{u} = A_{u} \cup {k}$ , $A = A - {k}$
8:
(3) Bit and power allocation:
9:
while $\sum_{u = 1}^{U} p_{u} \leq P_{T}$ do
10:
Traverse the subcarriers corresponding to all the users; find the subcarrier k and the corresponding user u with the smallest $Δ p_{u k} (c_{u k})$ , and allocate 1 bit of data to the subcarrier; meanwhile $c_{u k} = c_{u k} + 1$ , $P_{u} = P_{u} + Δ p_{u k} (c)$ , $c_{u} = c_{u} + 1$
11:
return $c_{u}$ , $P_{u}$