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- Slack_variable abstract "In an optimization problem, a slack variable is a variable that is added to an inequality constraint to transform it to an equality. Introducing a slack variable replaces an inequality constraint with an equality constraint and a nonnegativity constraint.In linear programming, this is required to turn an inequality into an equality where a linear combination of variables is less than or equal to a given constant in the former. As with the other variables in the augmented constraints, the slack variable cannot take on negative values, as the Simplex algorithm requires them to be positive or zero. If a slack variable associated with a constraint is zero in a given state, the constraint is binding, as the constraint restricts the possible changes of the point. If a slack variable is positive in a given state, the constraint is non-binding, as the constraint does not restrict the possible changes of the point. If a slack variable is negative in a given state, the point is infeasible, and not allowed, as it does not satisfy the constraint.↑".
- Slack_variable wikiPageExternalLink SlackVariables.
- Slack_variable wikiPageID "6002878".
- Slack_variable wikiPageLength "3292".
- Slack_variable wikiPageOutDegree "10".
- Slack_variable wikiPageRevisionID "620947462".
- Slack_variable wikiPageWikiLink Barycentric_coordinate_system.
- Slack_variable wikiPageWikiLink Category:Mathematical_optimization.
- Slack_variable wikiPageWikiLink Constraint_(mathematics).
- Slack_variable wikiPageWikiLink Duality_(optimization).
- Slack_variable wikiPageWikiLink Linear_programming.
- Slack_variable wikiPageWikiLink Optimization_problem.
- Slack_variable wikiPageWikiLink Orthant.
- Slack_variable wikiPageWikiLink Simplex_algorithm.
- Slack_variable wikiPageWikiLinkText "Slack variable".
- Slack_variable wikiPageWikiLinkText "slack variable".
- Slack_variable wikiPageWikiLinkText "slack variables".
- Slack_variable wikiPageWikiLinkText "slackness".
- Slack_variable wikiPageUsesTemplate Template:Cite_book.
- Slack_variable wikiPageUsesTemplate Template:Further.
- Slack_variable wikiPageUsesTemplate Template:More_footnotes.
- Slack_variable wikiPageUsesTemplate Template:Reflist.
- Slack_variable wikiPageUsesTemplate Template:Sfn.
- Slack_variable subject Category:Mathematical_optimization.
- Slack_variable hypernym Variable.
- Slack_variable type Area.
- Slack_variable type Star.
- Slack_variable type Area.
- Slack_variable comment "In an optimization problem, a slack variable is a variable that is added to an inequality constraint to transform it to an equality. Introducing a slack variable replaces an inequality constraint with an equality constraint and a nonnegativity constraint.In linear programming, this is required to turn an inequality into an equality where a linear combination of variables is less than or equal to a given constant in the former.".
- Slack_variable label "Slack variable".
- Slack_variable sameAs Q1765718.
- Slack_variable sameAs Schlupfvariable.
- Slack_variable sameAs m.0fk3bq.
- Slack_variable sameAs Q1765718.
- Slack_variable wasDerivedFrom Slack_variable?oldid=620947462.
- Slack_variable isPrimaryTopicOf Slack_variable.