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Multi-objective optimization is an area of multiple criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously. Involve two or more optimization goals that are conflicting, meaning that improvement to one objective comes at the expense of another objective. The two methods for perform a multi-objetive-optimization are Pareto and scalarization.

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Do you know production deployments of multi-objective optimization?

I am not aware of the timetabling, but if you mean by production is something like supply chain optimization, the answer would be actually yes. As the optimization methods are widely used in supply ch …
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1 vote

Which exact method can find all pareto-optimal solutions of a multi-objective optimization p...

I would like to add the following resources that were mentioned by Gurobi experts and would be useful: These extreme points are non-dominated points on the Pareto front. It is possible to compute all …
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2 votes

weight choice in multi-objective weighted sum

In the weighted sum approach, we scale our set of goals into a single goal by multiplying each of our objectives by a user-supplied weight. This method is one of the most widely used approaches. The w …
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1 vote

How can we choose the right weight to solve multi-objective problem using weighted sum method?

As far as I know, solving the multi-objective optimization by the weighted sum method should give one of the solutions that already exists on the Pareto non-dominance solution frontier. Let us make a …
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1 vote

Is there a name for this variation of the generalized assignment problem?

The problem sounds like a parallel resource scheduling problem with preemption. One of the efficient way to solve the problem (as an LP) is to define that as a bipartite graph in which the first group …
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1 vote

Breaking symmetry

The problem you have sounds like a parallel resource scheduling model that may have some additional limitations. $(\text{R}_{2} \ | Cap | \sum_{j}w_{j})$. In the simplest form, it is still NP-hard, I …
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2 votes

Bin Packing with CP Solver

If I understand the problem correctly, it might be modeled as a variant of the resource-constrained project schedule in which you have some parallel machines and the tasks should be performed with som …
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