Questions tagged [multi-objective-optimization]
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6
questions with no upvoted or accepted answers
5
votes
0answers
41 views
What are useful plots/statistics/metrics when analyzing the solution sensitivity in multi-objective optimization?
Consider an optimization problem with $n>3$ objectives.
For handling this there exists often two approaches:
a) some weighting of the objectives,
b) fix an order of objectives and then optimize ...
4
votes
0answers
188 views
How can I formulate this multi-objective optimization problem?
Now, for each system $X$ $(X=A,B,C,E)$, my objective is
$$\max\min\frac{s_{x_u}}{d_{x_u}}$$
here, $x=a$ for system A, $x=b$ for system B and follows...
and for the whole system, my objective is
$$\max\...
3
votes
0answers
67 views
Appropriate Rotation Matrix in Nonconvex Optimization with Barrier
Let $ x \in \mathbb{R}^n_+$ be a variable such that $\sum_{i=1}^n x_i = 1$. In other words, $x$ is in a probability simplex. I am working on barrier-like functions in nonconvex optimization over such ...
3
votes
0answers
43 views
Algorithm for Trainyard Marshall optimization problem
The problem I am trying to solve is the 2014 RAS problem. The link is the following
The problem
Trains come to the humpyard where each compartment of a train gets humped or disassembled and then each ...
3
votes
0answers
35 views
Best method to optimise the blending of different types of coal to ensure all quality parameters are met at the lowest possible price?
I am looking to optimise the blending of different types of coal for the coke making process of a steel plant. I want to take into account the statistical variation of each coal’s qualities, so for ...
0
votes
0answers
58 views
Can I combine two objective functions if they have a relation between them?
I will use a meta-heuristic algorithm, to maximize the following objective functions:
Objective function 1 $=\sum\limits_{r=1}^{M} \sum\limits_{s=r+1}^{M} \sum\limits_{j=r+1}^{N} (r_{rj}w_j - r_{sj}...
