Blockmodels with maximum concentration

Blockmodels with maximum concentration
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具有最大浓度的块模型

DOI:
10.1016/s0377-2217(02)00361-2
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发表时间:
2003
期刊:
Eur. J. Oper. Res.
影响因子:
--
通讯作者:
A. Jessop
A. Jessop
中科院分区:
--
文献类型:
--
作者:
A. Jessop

文献摘要

被引文献

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在许多情况下,在成对的对象之间定义二元关系:在社会学中,人与人之间存在社会关系;在商业中,企业之间存在贸易关系;在设计中,组件之间存在功能依赖性。在所有这些中,对象聚集成紧密互连的块揭示了系统的某些结构。本文提出了一个标准,允许将块的构造制定为二次规划。该方法应用于两个说明性案例:MBA学生的选修选择模式和英国大学的绩效评估。该方法给出的结果易于解释,并且出于绩效排名的目的,可以对成就进行更真实的描述。
There are many circumstances in which binary relations are defined between pairs of objects: in sociology there are social relations between people; in business there are trading relations between firms; in design there are functional dependencies between components. In all of these the clustering of objects into densely interconnected blocks reveals something of the structure of the system. In this paper a criterion is presented which permits the construction of blocks to be formulated as a quadratic programme. The method is applied to two illustrative cases: the pattern of elective choices by MBA students and the performance assessment of British universities. The method is shown to give results which are readily interpreted and, for the purpose of performance ranking, leads to a more realistic description of achievement.