Hi,

I have the following code which gives unreasonable results. There are two major issues with the results:

- alpha1 can at times be negative (just under zero like -10^(-3)).
- and also sum_alpha_over_users(j,1) is always way below 1. Its value is often around 10^-6.

I am now wondering there could be something wrong with my objective function (given its a log function). I would greatly appreciate if anyone could help me out with my code.

cvx_begin

```
variable alpha1(num_users_per_cell,num_BS_per_cell);%time division variable
expression sum_throughput;
expression sum_alpha_over_users(num_BS_per_cell,1);
sum_throughput = 0;
for i=1:num_users_per_cell
for j=1:num_BS_per_cell
if x(i,j) == 1
sum_throughput = sum_throughput + log(rate(i,1)*alpha1(i,j))/log(10);
end
end
end
for j=1:num_BS_per_cell
sum_alpha_over_users(j,1) = 0;
for i=1:num_users_per_cell
sum_alpha_over_users(j,1) = sum_alpha_over_users(j,1) + alpha1(i,j);
end
end
maximize sum_throughput
subject to
for j=1:num_BS_per_cell
sum_alpha_over_users(j,1) <= 1;
end
for i=1:num_users_per_cell
for j=1:num_BS_per_cell
0 <= alpha1(i,j);
alpha1(i,j) <= x(i,j);
end
end
```

cvx_end