Slack variable

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2020 Mathematics Subject Classification: Primary: 90C05 [MSN][ZBL]

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:
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article