Optimization problem code sos please help

I need to write a code for this formula but I don’t have any idea how to describe 7 subject to; and which function ,

to use please help me because I’m new to optimization problem

[Torsten]

If you understand that the problem cannot be completely described with the information you gave in your post, you are a step further.

Hint: (A1),(A2) and (A7) don't have any relation to the objective function. So these constraints are superfluous ? I don't think so if they are mentionned in the problem description.

[Melika Eft]

So it’s non-convex due to A1 and A2, making it very challenging to solve. Thus, is it possible to transform and decouple it into two sub-problems and then employ the sub-gradient method to obtain an efficient solution?

[Torsten]

As noted, you gave an incomplete problem description. So how should I answer questions before I know the problem ?

[Melika Eft]

 So It can reformulated as this

where the objective of P1 is to minimize the transmit power of BS. Constraint A8 and constraint A9 guarantee the minimum rate of R1 and R2, respectively. Constraint A10 limits the transmit power of BS while constraint (A11) is the power allocation limit of R1 and R2

Answer 1

[Alan Weiss]

Have you seen the Problem-Based Optimization Workflow? This approach allows you to create optimization variables as symbolic-type placeholders, and then formulate your objective and constraint functions in terms of those variables. There are plenty of worked examples of nonlinear problems here.

Good luck,

Alan Weiss

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