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3
votes
1answer
I am trying to solve a nonlinear problem with only a set of continuous variables (where the nonlinearity stems from negative inconsistent - across differently indexed variables - large powers), e.g., …
asked Jan 18 '21 by tcokyasar
3
votes
1answer
I am trying to solve a model with Pyomo and struggling with indexing. Below is a simple problem instance, where you can also see the error. The message is straightforward and self-explanatory but fail …
asked Jun 4 '20 by tcokyasar
1
vote
For future reference, I solved this issue by using Pyomo modeling tool. In the end, I could solve the problem using Cplex, Gurobi, and ipopt by only stating the name of the solver.
answered Apr 2 '20 by tcokyasar
3
votes
1answer
For the following function, I am testing the convexity in $\lambda$. All parameters are in $\mathbb{R}^+$. $$\frac{\left(- \lambda \left(b + \frac{p}{\beta}\right) + 1\right) \left(\left(1 + \frac{p} …
asked Apr 22 '20 by tcokyasar
4
votes
1answer
I have the following objective function. The variables: $h_p$, $e_{trs}\left(h_p\right), w_{trs}\left(h_p\right)$ are all non-negative continuous. $T,R,S,\pi_{trs}$ are polynomially-sized sets. All ot …
asked Mar 3 '20 by tcokyasar
1
vote
0answers
I am trying to create an optimization model for a problem that involves two different types of queues. Given Poisson demand (for both), there is a queue with constant service time and another queue wi …
asked Apr 17 '20 by tcokyasar
4
votes
0answers
I have the following constraint: $$f\geq C_1\left(d-z-E_1-E_2\right)+C_2\left(E_1+E_2\right).$$ Here $f, d,z\in \mathbb{R}_{\geq 0}$ and $y\in \{0,1\}$ are variables and $C_1$, $C_2$, $E_1$, and $E_2 …
asked Jul 1 '19 by tcokyasar
3
votes
2answers
I have programmed the model in here using Gurobi 9.0 in Python 3.7. To ensure playing within the boundaries of the licensing, I am trying to program it using CPLEX where we have broader flexibility un …
asked Mar 30 '20 by tcokyasar
4
votes
0answers
How can I create constraints to make sure $x=1$ if $k\geq 0$ and $x=0$ if $k<0$, where $x\in \{0,1\}$ and $k\in \mathbb{R}$? Here is my attempt: \begin{equation}\label{cons:1} \begin{aligned} …
asked Jul 1 '19 by tcokyasar
6
votes
1answer
My question is similar to this one though a bit more complicated. Though my question also includes indices, I am removing them to ease readability. Let binary variables $x,y\in\{0,1\}$, non-negative …
asked Feb 19 '20 by tcokyasar
6
votes
1answer
My question is similar to this one and almost identical with this. I am so confused due to indexing and could not make sure if I could apply the solution in here to this indexed version as shown below …
asked Feb 19 '20 by tcokyasar
4
votes
1answer
Sort of following up with this question. I reformulated another model to make it convex and possibly solve it with some cut generation method. I would like to double-check whether I am doing it correc …
asked Mar 4 '20 by tcokyasar
8
votes
1answer
Though my title is quite general (please feel free to edit), indeed, I wonder if the following models can be solved in Gurobi or CPLEX. Model 2 is just an alternative one to Model 1. Although we discu …
asked Mar 23 '20 by tcokyasar
5
votes
1answer
I have a minimization problem minimizing $d_k \geq 0$ and some other variables with all strictly positive coefficients. I leave my objective function below to better convey my goal. $$\min_{\mathbf{d …
asked Feb 20 '20 by tcokyasar
2
votes
1answer
I am trying to define an edge set as follows: $\mathcal{E}=\{(i,j)|i,j\in\mathcal{V}\land T_{ij}\leq R \land \text{$i$ and $j$ are not jointly in $\mathcal{K}$\}}$, where $\mathcal{V}$ is the set of v …
asked Jun 26 '20 by tcokyasar

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