Difference between revisions of "Slack variable"
From Encyclopedia of Mathematics
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| − | A non-negative variable | + | A non-negative variable $y_i$ that is introduced for a (linear) constraint $\sum_ja_{ij}x_j\leq b_i$ in a [[Mathematical programming|mathematical programming]] or [[Linear programming|linear programming]] problem to convert this inequality into an equality $y_i+\sum_ja_{ij}x_j=b_i$. If this is done for all inequalities in a linear programming problem, one sometimes speaks of logical variables. |
Revision as of 08:55, 25 August 2014
surplus variable
A non-negative variable $y_i$ that is introduced for a (linear) constraint $\sum_ja_{ij}x_j\leq b_i$ in a mathematical programming or linear programming problem to convert this inequality into an equality $y_i+\sum_ja_{ij}x_j=b_i$. If this is done for all inequalities in a linear programming problem, one sometimes speaks of logical variables.
How to Cite This Entry:
Slack variable. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Slack_variable&oldid=17975
Slack variable. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Slack_variable&oldid=17975
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article