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Unanswered Questions

79 questions with no upvoted or accepted answers
6 votes
0 answers
651 views

Cplex is stuck after root node relaxation solution

I am solving an MIP through Benders decomposition (coded both generic and legacy callback versions), by employing Java with Cplex 12.9. For some of the instances, Cplex is stuck for two hours (time ...
5 votes
0 answers
124 views

Scale of largest CPLEX/Gurobi execution

I am trying to understand the CO2 emission of large scale optimization using CPLEX or Gurobi. Is there a published literature which addresses the compute usage of large scale executions?
5 votes
0 answers
279 views

Substituting inequality by equality constraints

Let $\mathbf{A}=\left(a_{ij}\right)$ be a $n\times J$ matrix with $a_{ij}\geq 0$, $n>J$ and such that no row or column has all its entries equal to zero. Let also $\mathbf{k}=\left(k_j\right)$ be a ...
4 votes
0 answers
159 views

How to invoke a solution pool and access all the solutions in cplex using PYOMO ? this is the structure of my pyomo code

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4 votes
0 answers
385 views

CPLEX Python: Current subproblem model in branch and bound

I have an MILP problem and use CPLEX (Python interface). I am working on user heuristics for branching in the branch-and-bound procedure. With HSCallback I managed to get the information about the ...
4 votes
0 answers
331 views

Confused in how to insert a slack variable in a constraint inequality

According to my understanding, we should put a slack variable to equate an inequality constraint by inserting the slack variable in the side that is less than the other side. For example, if we have $...
3 votes
1 answer
210 views

Implementing Logic-based Benders decomposition on a single search tree

Currently, I am working on a scheduling problem and trying to approach it by the logic-based Benders decomposition method. Theoretically, I have everything, i.e., the master and sub problem(s), the ...
3 votes
0 answers
232 views

Which solvers provide an IIS feature?

I am well aware that commercial solvers CPLEX and GUROBI provide an IIS (irreducible infeasible set) feature. @batwing mentions FICO Xpress in the comment section as well, and @RobPratt mentions SAS. ...
3 votes
0 answers
72 views

constrained optimization with decreasing constraint thresholds -Literature tips

consider a constrained optimization problem (typically c=0), with f highly nonlinear: \begin{equation} \text{minimize}_x f(x) \\\\ s.t \ \ \ \ g(x) \leq c \end{equation} I experimented a bit and found ...
3 votes
0 answers
124 views

Projected Gradient Ascent for linear programming

I need to find a reasonable maximum for a linear programming problem, for which standard solvers for linear programming are just too slow. I was thinking of using projected gradient ascent, but do not ...
3 votes
0 answers
101 views

cplex callbacks: getting the branching variable

I would like to obtain the number of the variable cplex branches on at the current node during B&B. I try this by using the callback ...
3 votes
0 answers
278 views

Two binding constraints - Linear Programming

I'm having some troubles to continue solving my system, I'm used to solve such systems but with "one" binding constraint, if someone could give me some helpful hints so I can solve it I will ...
3 votes
0 answers
153 views

SDP relaxation with greater-than and less-than inequalities at the same time

I am dealing with the following nonconvex fractional quadratic optimization problem \begin{align} & \min_{\boldsymbol{x}} && \max_{t \in \mathcal{T}} \frac{\boldsymbol{a}_t^T \boldsymbol{...
2 votes
0 answers
156 views

Why the column generation algorithm remains stuck at the same solution?

I was trying to solve a MILP by a column generation algorithm, and I noticed that the algorithm was stuck at the same solution, I tried to diversify the pool of initial columns, but the problem I ...
2 votes
0 answers
107 views

Automated Benders Using Annotations

I'm trying to solve an optimization model using Automated Benders with annotations using CPLEX library in C++. I've defined a master problem and N (number of supply nodes in my model's network) ...

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