R. Kazemi Matin - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran.‎
R. Azizi - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran.‎‎‎
N. Pasban - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran.‎‎‎
M. Mirjaberi - Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Esfahan Branch, Esfahan, ‎Iran‎.

With a brief review of the studies on the industry in Data Envelopment Analysis (DEA) framework, the present paper proposes inner and outer technologies when only some basic information is available about the technology. Furthermore, applying Linear Programming techniques, it also determines lower and upper bounds for directional distance function (DDF) measure, overall and allocative efficiency in industry level. Finally, the results are illustrated using a Cobb-Douglas function.

Data envelopment analysis (DEA), Industry, Unknown technology, Ufficiency bound