Data envelopment analysis with imprecise data |
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| Institution: | 1. Departamento de Estadística e I.O., Fac. Matemáticas, Universidad de Sevilla, c/Tarfia s/n 41012 Sevilla, Spain;2. Departamento de Economía, Métodos Cuantitativos e H. Económica. Área de Estadística e I.O., Universidad Pablo de Olavide, Sevilla, Spain;3. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla, 7D, Arica, Chile;4. Departamento de Estadística e I.O., Universidad de Cádiz, Campus de Jerez, 11405, Jerez, Spain;1. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India;2. Faculty of Economics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi 110021, India;3. Department of Humanities and Social Sciences, Indian Institute of Technology Roorkee, Uttarakhand 247667, India |
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| Abstract: | In original data envelopment analysis (DEA) models, inputs and outputs are measured by exact values on a ratio scale. Cooper et al. Management Science, 45 (1999) 597–607] recently addressed the problem of imprecise data in DEA, in its general form. We develop in this paper an alternative approach for dealing with imprecise data in DEA. Our approach is to transform a non-linear DEA model to a linear programming equivalent, on the basis of the original data set, by applying transformations only on the variables. Upper and lower bounds for the efficiency scores of the units are then defined as natural outcomes of our formulations. It is our specific formulation that enables us to proceed further in discriminating among the efficient units by means of a post-DEA model and the endurance indices. We then proceed still further in formulating another post-DEA model for determining input thresholds that turn an inefficient unit to an efficient one. |
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