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Compact Relaxations for Polynomial Programming Problems

机译:多项式编程问题紧凑的放松

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摘要

Reduced RLT constraints are a special class of Reformulation-Linearization Technique (RLT) constraints. They apply to nonconvex (both continuous and mixed-integer) quadratic programming problems subject to systems of linear equality constraints. We present an extension to the general case of polynomial programming problems and discuss the derived convex relaxation. We then show how to perform rRLT constraint generation so as to reduce the number of inequality constraints in the relaxation, thereby making it more compact and faster to solve. We present some computational results validating our approach.
机译:降低的RLT约束是一种特殊的重构线性化技术(RLT)约束。它们适用于线性平等约束系统受到线性平等约束系统的非耦合(连续和混合整数)二次编程问题。我们展示了一般情况的多项式规划问题的延伸,并讨论了衍生的凸起松弛。然后,我们展示了如何执行RRLT约束生成,以便减少放松中的不等式约束的数量,从而使解决更紧凑,更快地解决。我们提出了一些验证我们的方法的计算结果。

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