Question

Calculating Point on Pareto Front with Minimum Distance from Utopia Point

  • 11 October 2019
  • 1 reply
  • 98 views

Dear all,
I want to find the point on the pareto front (obtained with the epsilon constraint method) that has the minimum distance from the utopia point.
How can I do this in aimms?
Thanks
Best
Grazia

1 reply

Dear all,
I have the extreme points of the pareto front, (x1,y1) and (x2,y2) and the utopia point.
I would like to calculate the point on the pareto with the minimum distance by the utopia.

Then I think that I should create a cycle as
for x1<=epsilon_o<=x2 and y1<=Total_Costs_o<=y2
do
min_=( (utopia_x-epsilon_o)^2 + (Total_Costs_o-utopia_y)^2)^0.5

what do you think?
Is it correct? It seems that an error is preset. Which is parameter and variable?
Best
GL

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