Pareto frontier explorer calculator

Calculate nondominated option and every dominated option and its dominators with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use nondominated option and every dominated option and its dominators to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Directions for each objective: min or max
min,max
Options: name, objective values
A,2,8 B,4,10 C,5,6
Nondominated option(s)
A, B
Every dominated option and its dominators
C: A, B
Nondominated option count
2
Objective count
2

Try another scenario

Directions for each objective: min or max
min,max
Options: name, objective values
A,2,8 B,1,10 C,5,6
Nondominated option(s)
B
Every dominated option and its dominators
A: B; C: A, B
Nondominated option count
1
Objective count
2
Calculation method

Calculation method

Nondominated option(s)

An option is nondominated when no other is no worse on every objective and strictly better on at least one.

Every dominated option and its dominators

List all dominators, including dominators that are themselves dominated.

Nondominated option count

Count surviving options, retaining distinct options with identical outcome vectors.

Objective count

Number of declared objective directions.

Symbols and units
a
Directions for each objective: min or max
b
Options: name, objective values

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Exact finite-value Pareto comparison without weights, uncertainty bands or automatic preference choice. Input objectives may use different units because only within-objective order is compared.
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These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

NASA: decision analysis and trade studies ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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