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README.md

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> **Note**: This is early days for this module. Anything before 0.1.0 is subject to massive changes.
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> **Note**: This is early days for this module. Any version before 0.1.0 is subject to massive changes.
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# SimplexTableaux
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This module can be used to show how to solve linear programming problems using
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the simplex method by pivoting tableaux.
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the Simplex Method by pivoting tableaux.
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This is an illusration project for solving feasible optimization problems of the form
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This is an illustration project for solving optimization problems of the form
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$\min c^T x$ subject to $Ax ≥ b$ and $x \ge 0$ (canonical form)
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and of the form $\min c^T x$ subject to $Ax = b$ and $x \ge 0$ (standard form).
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## Caveats
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As a demonstration project, this is not suitable for solving actual linear programming (LP) problems.
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* This is a demonstration project and is not suitable for solving large linear programming (LP) problems.
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This module is set up for minimization problems only.
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* This module is set up for minimization problems only.
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This module solves LPs using the simplex algorithm which is not the most performant method.
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Further, all data is stored using arbitrary precision integers (that is, `Rational{BigInt}`) which gives
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exact results, but is much slower than floating point arithmetic. These issues are negligible for small problems.
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* All data is stored using arbitrary precision integers (that is, `Rational{BigInt}`) which gives exact results, but is much slower than floating point arithmetic. These issues are negligible for small problems.

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