pareto-frontier-construction

Research

Build the Pareto frontier from multi-objective optimization, visualize trade-offs, and select a portfolio from non-dominated solutions.

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Pareto Frontier Construction

Systematically construct the set of non-dominated solutions across multiple objectives, visualize the trade-off surface, and guide selection of a final portfolio from the frontier.

Stages

Stage	SOP	Purpose
1	objective-definition	Define objectives, constraints, and trade-off preferences
2	optimization-run	Run multi-objective optimization to generate Pareto front
3	pareto-visualization	Visualize the frontier and trade-off relationships
4	selection-from-frontier	Select final portfolio based on preferences

Available SOPs

objective-definition — Translate context into formal objectives and constraints
optimization-run — Execute optimization producing non-dominated solution set
pareto-visualization — Create visual representation of trade-off surface
selection-from-frontier — Apply preference model to select from frontier

Execution Guidance

Start with objective-definition to formalize what is being optimized
Ensure at least 2 competing objectives exist (otherwise no frontier needed)
Run optimization-run to generate >=5 non-dominated points
Visualize to help stakeholders understand trade-offs
Apply stated preferences to select final portfolio
If preferences are unclear, present 3 representative points (extremes + balanced)

Minimum Yield

Pareto front with >=5 non-dominated points
Trade-off visualization showing objective tensions
Selected portfolio with explicit justification referencing frontier position

Available SOPs

Optional, no fixed order; the final leaf is always a sop.

SOP	When to use
objective-definition	Define optimization objectives, constraints, and trade-off preferences from context and candidate information.
optimization-run	Execute multi-objective optimization on candidates to produce a Pareto front of non-dominated solutions.
pareto-visualization	Create visual representation of the Pareto frontier showing trade-offs between objectives with narrative explanation.
selection-from-frontier	Select the final portfolio from the Pareto front by applying stakeholder preferences and decision criteria.