An updated survey on the linear ordering problem for weighted or unweighted tournaments

An updated survey on the linear ordering problem for weighted or unweighted tournaments
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关于加权或非加权锦标赛的线性排序问题的最新调查

DOI:
10.1007/s10479-009-0648-7
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发表时间:
2010
影响因子:
4.8
通讯作者:
O. Hudry
O. Hudry
中科院分区:
管理学3区
文献类型:
--
作者:
I. Charon;O. Hudry

文献摘要

被引文献

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本文综述了线性排序问题的组合和算法方面的一些结果、猜想和开放问题。这个问题包括找到一个线性顺序,这是在距离(加权或不加权)比赛的最小距离。我们展示了如何使用它来建模聚合问题,包括从一组候选人上定义的个人偏好到这些候选人的集体排名。
In this paper, we survey some results, conjectures and open problems dealing with the combinatorial and algorithmic aspects of the linear ordering problem. This problem consists in finding a linear order which is at minimum distance from a (weighted or not) tournament. We show how it can be used to model an aggregation problem consisting of going from individual preferences defined on a set of candidates to a collective ranking of these candidates.