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A standard-function constraint integer programming solver with an emphasis on MIP. Suitable with Zimpl modelling language.
max c T x ∣ x ∈ R n ∧ A x ≤ b ∧ x ≥ 0 displaystyle max ,mathbf c ^ mathsf T mathbf x mid mathbf x in mathbb R ^ n land Amathbf x leq mathbf b land mathbf x geq 0,
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Having said that, the simplex algorithm has bad worst-circumstance behavior: Klee and Minty created a household of linear programming complications for which the simplex process takes numerous methods exponential in the problem sizing.
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The event of these algorithms would be of good theoretical fascination, and perhaps permit practical gains in fixing large LPs at the same time.