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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
For the following function, I am testing the convexity in $\lambda$. All parameters are in $\mathbb{R}^+$. $$\frac{\left(- \lambda \left(b + \frac{p}{\beta}\right) + 1\right) \left(\left(1 + \frac{p} … asked Apr 22 '20 by tcokyasar 1answer I have the following objective function. The variables: h_p, e_{trs}\left(h_p\right), w_{trs}\left(h_p\right) are all non-negative continuous. T,R,S,\pi_{trs} are polynomially-sized sets. All ot … asked Mar 3 '20 by tcokyasar 0answers I am trying to create an optimization model for a problem that involves two different types of queues. Given Poisson demand (for both), there is a queue with constant service time and another queue wi … asked Apr 17 '20 by tcokyasar 0answers I have the following constraint:$$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 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 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 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 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 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 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 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 …
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 …