变量程测量：一种基于DDF的非正数据超效率模型的量程测量方法

IF 7.2 2区管理学 Q1 MANAGEMENT

Omega-international Journal of Management Science Pub Date : 2025-02-05 DOI:10.1016/j.omega.2025.103295

Hsuan-Shih Lee

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引用次数: 0

摘要

为了处理非正数据，提高识别能力，我们提出了一种新的DDF超效率模型——变距测度（VRM）。VRM是平移不变性和单位不变性的。VRM在数据集包含零或负数据时可行。VRM获得的超效率小于等于2。范围调节测量（RAM）是一种沿方向矢量平衡地进行输入收缩和输出扩张的方法，但它是目标不变性的。距离方向模型（RDM）可能不太可行，但它是目标可变的。我们将RAM和RDM的优点结合到VRM中，使VRM具有目标可变和超效率下的可行性。Lin和Liu (2019) （LL模型）提出的方向向量的输出向量对于某些dmu可能为零。VRM克服了LL模型的缺点。我们通过实例表明，VRM方向向量是RAM方向向量的一个很好的代理。

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Variable range measure: A new range measure for super-efficiency model based on DDF in presence of nonpositive data

In order to handle the nonpositive data and increase the discrimination power, we propose a new DDF super-efficiency model called variable range measure (VRM). VRM is translation-invariant and unit-invariant. VRM is feasible when data set contains zero or negative data. The super-efficiency obtained by VRM is less than or equal to two. Range adjusted measure (RAM) makes input contraction and output expansion along the direction vector in a balanced way, but it is target-invariant. The range directional model (RDM) for super-efficiency might be infeasible, but it is target-variant. We combine the advantages of RAM and RDM into VRM so that VRM is target-variant and feasible under super-efficiency. Output vector of the direction vector proposed by Lin and Liu (2019) (LL model) might be zero for some DMUs. VRM overcomes the shortcomings of the LL model. We show that the VRM direction vector is a good proxy of the RAM direction vector by examples.

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来源期刊

Omega-international Journal of Management Science 管理科学-运筹学与管理科学

CiteScore

13.80

自引率

11.60%

发文量

130

审稿时长

56 days

期刊介绍： Omega reports on developments in management, including the latest research results and applications. Original contributions and review articles describe the state of the art in specific fields or functions of management, while there are shorter critical assessments of particular management techniques. Other features of the journal are the "Memoranda" section for short communications and "Feedback", a correspondence column. Omega is both stimulating reading and an important source for practising managers, specialists in management services, operational research workers and management scientists, management consultants, academics, students and research personnel throughout the world. The material published is of high quality and relevance, written in a manner which makes it accessible to all of this wide-ranging readership. Preference will be given to papers with implications to the practice of management. Submissions of purely theoretical papers are discouraged. The review of material for publication in the journal reflects this aim.