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Results tagged with combinatorial-optimization
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user 4551
For questions about optimization over a discrete solution space.
3
votes
If you can not take the derivative of your objective function - is "convexity" irrelevant?
If you formulate your problem as a MILP, then the formulation is convex since it is linear, but that doesn't change much for you.
If you formulate it as a MINLP, (Quadratic Assignment for example), th …
- 2,623
10
votes
Order in which you Stack Groceries in your Car's Trunk : An Optimization Problem?
Three-dimensional packing is a well studied class of problems. One of the main applications is indeed truck loading. See this review which lists the different kinds of constraints considered:
Bortfel …
- 2,623
2
votes
complexity Partitioning with negative numbers
Let $I = \{a_i, i = 1, \dots, n \}$ be an instance of "Partition with only positive numbers" that we want to solve.
Let $I' = \{4 a_i, i = 1, \dots, n \} \cup \{ -1, -1 \}$ be an instance of "Partiti …
- 2,623
0
votes
2D bin packing where some items must be packed in the same bin?
@prubin suggested an approach based on a Dantig-Wolfe decomposition. Here is another idea based on a Benders decomposition.
Solve the one-dimensional version of the problem. In this case, each order …
- 2,623
4
votes
Solving Capacitated VRP with multiple various sized vehicles
I'm not an expert in Vehicle Routing Problems, maybe someone else will have something more relevant to propose.
I think that a good starting point is this article:
"Efficiently solving very large-scal …
- 2,623
4
votes
Accepted
Optimize selection of metal sheets to keep in stock
If I understand well your problem, a good way to tackle it is to model it as an integer linear program and solve it with a mixed-integer linear programming solver, such as CBC, SCIP or Highs for the f …
- 2,623
2
votes
Priotization rules for variable allocation in linear programming
A prioritization rule is applied to the variables $zn_{t}$ and $z_{t}$. The model initially attempts to satisfy the constraint using $zn_{t}$. However, if $zn_{t}$ proves inadequate, the model then …
- 2,623