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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 1, Pages 69–80 (Mi zvmmf10508)

This article is cited in 12 papers

Measurement of returns to scale in radial DEA models

V. E. Krivonozhkoab, A. V. Lychevab, F. R. Førsundc

a National University of Science and Technology “MISiS”, Moscow, Russia
b Department of Information Technologies and Computing Systems, Russian Academy of Sciences, Moscow, Russia
c Department of Economics University of Oslo, Blindern, Norway

Abstract: A general approach is proposed in order to measure returns to scale and scale elasticity at projections points in the radial data envelopment analysis (DEA) models. In the first stage, a relative interior point belonging to the optimal face is found using a special, elaborated method. In previous work it was proved that any relative interior point of a face has the same returns to scale as any other interior point of this face. In the second stage, we propose to determine the returns to scale at the relative interior point found in the first stage.

Key words: data envelopment analysis, scale elasticity, returns to scale, radial models, efficiency, strong complementary slackness conditions.

UDC: 519.658

Received: 28.01.2016
Revised: 20.04.2016

DOI: 10.7868/S0044466917010094


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:1, 83–93

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© Steklov Math. Inst. of RAS, 2024