Convex Isoquants in DEA Models with Selective Convexity

Abstract: Models with selective convexity are an important class of data envelopment analysis (DEA) models. This type of model allows managers to consider variables such as ratios, averages, percentages, etc. The paper proposes algorithms for constructing input and output isoquants using volume variables in models with selective convexity. These algorithms help investigate the relationship between any volume variables in the model. Computational experiments confirm the reliability and efficiency of the proposed methods. © Pleiades Publishing, Ltd. 2024. ISSN 0005-1179, Automation and Remote Control, 2024, Vol. 85, No. 1, pp. 79–89. Pleiades Publishing, Ltd., 2024. Russian Text The Author(s), 2024, published in Avtomatika i Telemekhanika, 2024, No. 1, pp. 110–123.

Authors
Afanasiev A.P. , Krivonozhko V.E. , Lychev A.V. , Sukhoroslov O.V.
Publisher
Maik Nauka Publishing / Springer SBM
Number of issue
1
Language
English
Pages
79-89
Status
Published
Volume
85
Year
2024
Organizations
  • 1 Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russian Federation
  • 2 RUDN University, Moscow, Russian Federation
  • 3 National University of Science and Technology “MISIS”, Moscow, Russian Federation
  • 4 Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, Russian Federation
Keywords
data envelopment analysis; efficient frontier; isoquant; production possibility set; selective convexity
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