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Two-Factor DEA Modeling and Clustering of Homogeneous Firms

  • MATHEMATICAL GAME THEORY AND APPLICATIONS
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Abstract

The paper presents a model for clustering homogeneous firms according to their operation efficiency over a certain time period. The firm efficiency is studied by the Data Envelopment Analysis (DEA) methodology, which is based on solving optimization problems and permits one to compare firms taking into account many factors of their operation. At the second step of the analysis, the time series of firm efficiency estimators obtained by DEA modeling are used to cluster firms and find stable partitions of the set of firms.

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Notes

  1. Let us arrange the coefficients \(T_i^{\ast } \) in nonincreasing order and supply them with new numbers in parentheses, \(T_{(i)}^{\ast }\), which will be used in what follows for ordered samples (variational series).

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Funding

The second author’s research was supported by Shandong Province “Double-Hundred Talent Plan” (No. WST2017009).

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 199034, Russia

    V. M. Bure, E. M. Parilina & K. Yu. Staroverova

  2. School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, China

    E. M. Parilina

  3. Institute of Applied Mathematics of Shandong, Qingdao, 266071, China

    E. M. Parilina

Authors
  1. V. M. Bure
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  2. E. M. Parilina
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  3. K. Yu. Staroverova
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Correspondence to V. M. Bure, E. M. Parilina or K. Yu. Staroverova.

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Translated by V. Potapchouck

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Bure, V.M., Parilina, E.M. & Staroverova, K.Y. Two-Factor DEA Modeling and Clustering of Homogeneous Firms. Autom Remote Control 82, 877–888 (2021). https://doi.org/10.1134/S0005117921050118

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  • DOI: https://doi.org/10.1134/S0005117921050118

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