Pareto frontier

Uncommon card · No. 93466

In multi-objective optimization, the Pareto frontier (also called the Pareto front, Pareto set, Pareto boundary or Pareto curve) is the set of all Pareto efficient solutions. Informally, this means when there are many distinct objectives to consider in an optimization problem, a Pareto front represents the set of solutions where no solution outperforms any other solution due to trade-offs among the objectives, and that set excludes the remaining solutions which are outperformed. That is to say, the frontier is the set of choices where it is impossible to choose another option that is better in some way without being worse in another. Outperforming is called Pareto dominance: a solution A dominates (outperforms) B if A is no worse than B in every objective, and better than B in at least one objective. The concept is widely used in engineering. It allows the designer to restrict attention to the set of efficient choices, and to make tradeoffs within this set, rather than considering the...

Read on Wikipedia · Image Nojhan, CC BY-SA 3.0