# Difference between revisions of "OptSlack"

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''[[New to Analytica 4.3]]. Prior to Analytica 4.3, was named [[LpSlack]].'' | ''[[New to Analytica 4.3]]. Prior to Analytica 4.3, was named [[LpSlack]].'' | ||

− | = OptSlack( | + | = OptSlack(opt) = |

− | Returns the slack, or surplus, values for the constraints at the optimal solution. | + | Returns the slack, or surplus, values for the constraints at the optimal solution. «opt» is a problem specified by [[DefineOptimization]]. |

As an example, consider the following example constraint: | As an example, consider the following example constraint: | ||

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Suppose the optimal solution is found at (1,2,3). Then the left-hand side of this constraint at the optimum is 8. The slack, therefore, is 14-8 = 6. In other words, the right-hand side coefficient could be decreased by 6 units before the optimal solution would be impacted. | Suppose the optimal solution is found at (1,2,3). Then the left-hand side of this constraint at the optimum is 8. The slack, therefore, is 14-8 = 6. In other words, the right-hand side coefficient could be decreased by 6 units before the optimal solution would be impacted. | ||

− | A slack of zero indicates that the constraint is one that is actively constraining the optimal solution. | + | A slack of zero indicates that the constraint is one that is actively constraining the optimal solution. |

= See Also = | = See Also = |

## Revision as of 23:44, 10 February 2011

*New to Analytica 4.3. Prior to Analytica 4.3, was named LpSlack.*

# OptSlack(opt)

Returns the slack, or surplus, values for the constraints at the optimal solution. «opt» is a problem specified by DefineOptimization.

As an example, consider the following example constraint:

5 x_{1}+ 3 x_{2}- x_{3}<= 14

Suppose the optimal solution is found at (1,2,3). Then the left-hand side of this constraint at the optimum is 8. The slack, therefore, is 14-8 = 6. In other words, the right-hand side coefficient could be decreased by 6 units before the optimal solution would be impacted.

A slack of zero indicates that the constraint is one that is actively constraining the optimal solution.

# See Also

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