Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2014, Special Issue (2014), Article ID 276092, 8 pages.
Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA
Ghasem Tohidi, Shabnam Razavyan, and Simin Tohidnia
Abstract
This paper first introduces the allocative and profit efficiency in the presence of the negative data and then presents a new circular index to measure the productivity change of decision making units (DMUs) for the case that the dataset contains the inputs and/or outputs with the negative values in data envelopment analysis (DEA). The proposed index is decomposed into four components in the two stages. The range directional model (RDM) and the proposed efficiencies are used to compute the proposed index and its components. The interpretations of the components are presented. Finally, a numerical example is organized to illustrate the proposed index and its components at three successive periods of time.
Article information
Source
J. Appl. Math. Volume 2014, Special Issue (2014), Article ID 276092, 8 pages.
Dates
First available in Project Euclid: 27 February 2015
Permanent link to this document
http://projecteuclid.org/euclid.jam/1425050719
Digital Object Identifier
doi:10.1155/2014/276092
Citation
Tohidi, Ghasem; Razavyan, Shabnam; Tohidnia, Simin. Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA. J. Appl. Math. 2014, Special Issue (2014), Article ID 276092, 8 pages. doi:10.1155/2014/276092. http://projecteuclid.org/euclid.jam/1425050719.
