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Titlebook: Compact Extended Linear Programming Models; Giuseppe Lancia,Paolo Serafini Textbook 2018 Springer International Publishing AG 2018 ILP.com

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Integer Linear Programming,scribes the two main solving procedures for integer programs, i.e., branch-and-bound and cutting planes. The theory of totally unimodular matrices is introduced to account for problems whose models have naturally integer solutions. State-of-the-art solvers for mixed-integer linear programs are described at the conclusion.
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General Techniques for Compact Formulations,ld a compact extended formulation. Some examples are immediately brought to the attention of the reader so that the technique can be better understood. Also the role of the nonnegative factorization of the slack matrix is explained and some preliminary examples are shown.
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https://doi.org/10.1007/978-3-531-90764-2equalities, and an internal description, in terms of vertices and extreme rays. The projection operator is described in detail. Other topics described are the union of polyhedra, Fourier elimination scheme, the relation of the number of facets with the number of vertices, Farkas’ Lemma.
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