Gamultiobj only finding one point on pareto front

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Hannah Dinovitzer
Hannah Dinovitzer on 3 Aug 2021
Edited: Alan Weiss on 4 Aug 2021
I am implementing gamultiobj to solve three cost functions. When the program runs it only finds one point on the pareto front when I am sure there should be multiple solutions.
Are there any solver settings I can modify to find multiple solutions on the pareto front?

Answers (1)

Alan Weiss
Alan Weiss on 4 Aug 2021
I suggest that you find the single-objective minima as in Start from Single-Objective Solutions or Start from Single-Objective Solutions. These are two different examples that show the value of starting from the single-objective solutions to obtain a wider Pareto set.
You can also try the paretosearch solver, which sometimes finds a wider Pareto set on badly-scaled problems, as in this example.
If, by some chance, you still end up with a single point, then it is possible that there is only one feasible Pareto point.
Alan Weiss
MATLAB mathematical toolbox documentation
Alan Weiss
Alan Weiss on 4 Aug 2021
If the single-objective problems all have the same solution then that is your answer. There is nothing else. There is no tradeoff curve (Pareto front) because all the objectives are minimized at the same point.
The only other possibility that I can see is to try starting the single-objective solvers from different start points. Maybe there are multiple local minima.
Alan Weiss
MATLAB mathematical toolbox documentation

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