Complete formulations of polytopes related to extensions of assignment matrices

Ben-Ameur Walid; Glorieux Antoine; Neto Jose

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Complete formulations of polytopes related to extensions of assignment matrices

机译：与分配矩阵的扩展有关的多种式配方

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摘要

Let k, n denote two positive integers and consider the family of the polytopes defined as the convex hull of pairs of the form (Y, h) where Y is a 0/1-matrix with k rows, n columns, containing exactly one nonzero coefficient per column, and where h stands for the smallest index of a nonzero row of Y.

机译：设k，n表示两个正整数，并考虑定义为形式（y，h）对的凸壳的多个族的系列，其中y是带有k行，n列的0/1矩阵，恰好包含一个非零每列系数，其中H代表着Y的非零行的最小索引。

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《Discrete optimization》 |2018年第2018期|共15页
作者
Ben-Ameur Walid; Glorieux Antoine; Neto Jose;
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作者单位

Univ Paris Saclay Telecom SudParis CNRS Samovar 9 Rue Charles Fourier F-91011 Evry France;

Univ Paris Saclay Telecom SudParis CNRS Samovar 9 Rue Charles Fourier F-91011 Evry France;

Univ Paris Saclay Telecom SudParis CNRS Samovar 9 Rue Charles Fourier F-91011 Evry France;

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正文语种 eng
中图分类计算数学;
关键词
Assignment problems; Polytope; Separation; Complete formulation; Compact formulation;

机译：分配问题;polytope;分离;完整的配方;紧凑配方;

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1. Complete formulations of polytopes related to extensions of assignment matrices [J] . Ben-Ameur Walid, Glorieux Antoine, Neto Jose Discrete optimization . 2018,第期

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2. A linear formulation with O(n~2) variables for quadratic assignment problems with Manhattan distance matrices [J] . Serigne Gueye, Philippe Michelon EURO Journal on Computational Optimization . 2015,第2期

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3. Novel C-13 direct detection experiments, including extension to the third dimension, to perform the complete assignment of proteins [J] . Bermel W, Bertini I, Felli IC, Journal of magnetic resonance . 2006,第1期

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机译：合理设计的编码HLA-A2 / DR1转基因小鼠中来自利什曼原虫主要相关蛋白的HLA-A * 0201限制性表位的多表位构建体的免疫原性评估：迈向多表位疫苗的步骤
7. An extension of the polytope of doubly stochastic matrices [O] . Richard A. Brualdi, Geir Dahl 2013

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Complete formulations of polytopes related to extensions of assignment matrices

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