论文标题

通过定居者优化的驻留优化

Permutatorial Optimization via the Permutahedron

论文作者

Mori, J. Carlos Martinez, Samaranayake, Samitha

论文摘要

一家水公司决定使用一组水管扩展其网络,但不能一次建造它们。但是,它开始从部分扩展中获得收益。公司应该按什么顺序建立线路?我们通过组合/连续的子问题正式化了一类驻规定问题,以捕获增量部署的应用。我们表明,对于添加/线性目标函数,子问题的有效多面体方法扩展到了刑事问题。我们的主要技术成分是定居者。

A water company decides to expand its network with a set of water lines, but it cannot build them all at once. However, it starts reaping benefits from a partial expansion. In what order should the company build the lines? We formalize a class of permutatorial problems with combinatorial/continuous subproblems capturing applications of incremental deployment. We show that, for additive/linear objective functions, efficient polyhedral methods for the subproblems extend to the permutatorial problem. Our main technical ingredient is the permutahedron.

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