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Vector optimization

Vector optimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect to a given partial ordering and subject to certain constraints. A multi-objective optimization problem is a special case of a vector optimization problem: The objective space is the finite…

Art, Solution concepts & Relation to multi-objective optimization

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Solution concepts

ClosedPointed convex coneInfimum
3 related topics

Relation to multi-objective optimization

OrthantPareto efficient
2 related topics

Problem formulation

Vector space
1 related topics

Solution methods

Benson's algorithm
1 related topics

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Overview

Problem formulation

Solution concepts

Solution methods

Relation to multi-objective optimization

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Map overview Semantic statistics

Vector optimization

Nodes19
Edges18
Triples7
Avg. degree1.89
Density0.105263
Components1

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Vector optimization

Top relations

related to Relation to multi-objective optimization · 3
Vector optimization → Any, Pareto, Thus
related to Problem formulation · 2
Vector optimization → In, The
is a · 1
Vector optimization → subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect to a given partial ordering and subject to c…
has method · 1
Vector optimization → Benson's

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Important terminology

optimization displaystyle vector problem minimizer ordering multi-objective efficient every objective subseteq bar point mathematical problems respect partial space partially ordered

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vector optimizationis asubarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect to a given partial ordering and subject to c…0.90text
Vector optimizationhas methodBenson's0.60section
Vector optimizationrelated to Problem formulationIn0.60section
Vector optimizationrelated to Problem formulationThe0.60section
Vector optimizationrelated to Relation to multi-objective optimizationAny0.60section
Vector optimizationrelated to Relation to multi-objective optimizationThus0.60section
Vector optimizationrelated to Relation to multi-objective optimizationPareto0.60section

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    Min side: 3
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