6
$\begingroup$

I'm new to IBM CP optimizer.

I want to make charging / discharging scheduling based on cost (value will change on time) and my objective function is

$$\sum_{t=1}^{24}\sum_{j=1}^5x(1)^{(t,j)}x(2)^{(t,j)}\cdot\text{Price}_1^{(t)}-x(3)^{(t,j)}x(4)^{(t,j)}\cdot\text{Price}_2^{(t)}$$ where

  1. $t$, $j$ means time (1 day) and machine number.
  2. $x(1)$ and $x(3)$ means signal about charging or discharging (perhaps I can remove $x(3)$ and re-write $(1-x(1)$).
  3. $x(2)$ and $x(4)$ means Power.
  4. I have a few constraints about the machine's maximum and minimum battery capacity.

Then, how can I make codes of the objective function and interval? it is possible to make scheduling? I tried several days with the CP manual and IBM website, but it's still not working well.

(I will not use any API such as python, C++. I want to make in CP. )

$\endgroup$
  • $\begingroup$ Welcome to OR StackExchange! Please consider taking the time to type the math instead of using a picture, as it makes the post more searchable. $\endgroup$ – Nikos Kazazakis Feb 6 at 18:19
  • $\begingroup$ Would you see IBM CPLEX forum? $\endgroup$ – A.Omidi Feb 7 at 22:03
4
$\begingroup$

I assume that you want to model your problem in OPL. Here is a sketch of the model.

using CP;

range Hours = 1..24;
range Machines = 1..5;

// Data are just random:
int price1[Hours] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24];
int price2[Hours] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24];

// The ranges are also random:
dvar int x1[Hours][Machines] in 0..1000;
dvar int x2[Hours][Machines] in 0..1000;
dvar int x3[Hours][Machines] in 0..1000;
dvar int x4[Hours][Machines] in 0..1000;

minimize sum(t in Hours, j in Machines) (x1[t][j] * x2[t][j] * price1[t] - x3[t][j] * x4[t][j]*price2[t]);

subject to {
  // Your constraints here
}
| improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.