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Slack variable

From Encyclopedia of Mathematics
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surplus variable

A non-negative variable 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=42116
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article