期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 281, 期 1, 页码 222-230出版社
ELSEVIER
DOI: 10.1016/j.ejor.2019.08.021
关键词
Data envelopment analysis; Proportional directional distance function; Efficiency measure; Malmquist productivity index
资金
- Spanish Ministry for Economy and Competitiveness (Ministerio de Economia, Industria y Competitividad)
- State Research Agency (Agenda Estatal de Investigacion)
- European Regional Development Fund (Fondo Europeo de Desarrollo Regional) [MTM2016-79765-P]
A natural multiplicative efficiency measure for the Constant Returns to Scale proportional directional distance function (pDDF) is derived, relating its associated linear program to that of the well-known output-oriented radial efficiency measurement model. Based on this relationship, a traditional CCD (Caves, Christensen and Diewert) Malmquist index is introduced to show that, when it is based on the new efficiency measure associated with the pDDF, rather than on a radial efficiency measure associated with an oriented distance function, it becomes a Total Factor Productivity (TFP) index. This constitutes a new result, because heretofore the traditional CCD Malmquist index has not been considered a TFP index. Additionally, a new decomposition of the CCD Malmquist index is proposed that expresses productivity change as the ratio of two components, productivity change due to output change in the numerator and productivity change due to input change in the denominator. In an Appendix the efficiency measure is extended to include any returns to scale pDDF. (C) 2019 Elsevier B.V. All rights reserved.
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