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arxiv: 1507.05358 · v2 · pith:5VYMJAJDnew · submitted 2015-07-20 · 🧮 math.OC

Another pedagogy for pure-integer Gomory

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keywords pure-integercutsgomoryprimalalgorithmderiveddualform
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We present pure-integer Gomory cuts in a way so that they are derived with respect to a "dual form" pure-integer optimization problem and applied on the standard-form primal side as columns, using the primal simplex algorithm. The input integer problem is not in standard form, and so the cuts are derived a bit differently. In this manner, we obtain a finitely-terminating version of pure-integer Gomory cuts that employs the primal rather than the dual simplex algorithm.

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