A Bi-Extremal Principle for Frontier Estimation and Efficiency Evaluations
AbstractA new approach is supplied for locating efficiency frontiers and evaluating the efficiency of Decision Making Units (DMU's). This is accomplished from observational data by means of an envelopment procedure called DEA (Data Envelopment Analysis) originally developed by Charnes, Cooper and Rhodes (Charnes, A., W. W. Cooper, E. Rhodes, 1978. Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (6). See also, Short communication. Eur. J. Oper. Res. 3 (1979) 339.) in connection with their ratio formulation for relative efficiency measurement. The current variant employs a bi-extremal principle which, though nonlinear, is subsequently shown to be reducible to a finite sequence of linear programming problems. The development is illustrated by means of multiple output functions which are piecewise of Cobb-Douglas or general log linear type and which also allow for increasing, decreasing and constant returns to scale. More than one production function for the DMU's is also allowed. The reduction of the bi-extremal principle to linear programming equivalence is also accomplished for much more general classes of functions. A numerical example illustrates some of these ideas and also provides a springboard for a new theorem which relates these efficiency measures to ones which were supplied earlier in the Charnes, Cooper and Rhodes's work (Charnes, A., W. W. Cooper, E. Rhodes, 1978. Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (6). See also, Short communication. Eur. J. Oper. Res. 3 (1979) 339.).
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 27 (1981)
Issue (Month): 12 (December)
efficiency; decision making units; production functions; efficiency frontiers;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Mehdiloozad, Mahmood & Sahoo, Biresh K. & Roshdi, Israfil, 2014. "A generalized multiplicative directional distance function for efficiency measurement in DEA," European Journal of Operational Research, Elsevier, vol. 232(3), pages 679-688.
- Pina, Vicente & Torres, Lourdes, 2001. "Analysis of the efficiency of local government services delivery. An application to urban public transport," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(10), pages 929-944, December.
- Banker, Rajiv D. & Cooper, William W. & Seiford, Lawrence M. & Thrall, Robert M. & Zhu, Joe, 2004. "Returns to scale in different DEA models," European Journal of Operational Research, Elsevier, vol. 154(2), pages 345-362, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.