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Pareto front

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Pareto front
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Pareto front

In multi-objective optimization, the Pareto front (also called Pareto frontier 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. 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 full range of every parameter.

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Article table of contents 5 sections
1 Definition
2 Marginal rate of substitution
3 Computation
4 Approximations
5 References
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Pareto efficiencyPower engineering
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KazKylhekuAug 7, 2026 4:22 PM — Simplify: non-Pareto-front solutions are those that are outperformed, period. If we compare any two…
KazKylhekuAug 7, 2026 4:08 PM — Introduce dominance in the description to pin down what outperform means: the later graphical examp…
KazKylhekuAug 7, 2026 3:50 PM — Fix misleading informal description. A non-Pareto-front solution is outperformed by *every* Pareto-…
CitationCleanerBotJul 24, 2026 8:53 PM — clean up of [[:Category:CS1 maint: work parameter with ISBN]]
Pablo-PshinjiJun 24, 2026 5:38 PM — Citation added.
OAbotMay 25, 2026 6:32 AM — [[Wikipedia:OABOT|Open access bot]]: url-access=subscription updated in citation with #oabot.
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Pareto frontier

set of parameterizations which optimizes a system

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Pareto efficiency, set, solution
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