I need to decide which solution is the best design, in order to do that I need to compare them. Lower energy used and lower weight is better. My initial idea was to order both the fields best to worst and chose based on which one finished higher but whats better 3rd and 2nd, or 1st and 4th?

The pareto front is a set of nondominated solutions, being chosen as optimal, if no objective can be improved without sacrificing at least one other objective.

  1. (Energy Used, Weight)

    A (30,20)

    B (50,30)

    C (10,40)

    D (20,50)

    E (40,10)

Diagram Showing the Table


closed as off-topic by Noah Schweber, quid Apr 26 at 14:06

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  • $\begingroup$ What have you tried? Can you find an option which is clearly not nondominated? $\endgroup$ – Noah Schweber Apr 25 at 14:27
  • $\begingroup$ I've tried comparing each of them but I can't find one which isn't dominated by another, (30,20) seems the best $\endgroup$ – MF DOOM Apr 25 at 14:28
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    $\begingroup$ What dominates (40, 10)? $\endgroup$ – Noah Schweber Apr 25 at 14:28
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    $\begingroup$ I'm not sure what that means. Domination refers to different solutions - e.g. C dominates D since C is better than D in every way (both energy and weight are lower (= better) in C than in D). Can you find something which is better than (40,10) in every way? $\endgroup$ – Noah Schweber Apr 25 at 14:31
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    $\begingroup$ Crossposted (and more extensively answered) at computer science. Please do not post the same question on multiple sites. $\endgroup$ – Discrete lizard Apr 25 at 17:01

The pareto front is not a single element. It is the set of elements which are all kind of optimal in the sense that no other element is better in ALL criterias.

  • $\begingroup$ so instead of ordering them 1-5 etc I should just be choosing like the 3 best? $\endgroup$ – MF DOOM Apr 25 at 14:39
  • $\begingroup$ You have two criteria. There will most likely not be a "best" element. You should remove thise elements which are inferiour with respect to both criterias. $\endgroup$ – maxmilgram Apr 25 at 15:13

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