A B-convex production model for evaluating performance of firms

作者: Walter Briec , Charles Horvath

DOI: 10.1016/J.JMAA.2009.01.048

关键词:

摘要: Abstract Some 30 years ago Charnes, Cooper and Rhodes [A. W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units, European J. Oper. Res. 2 (6) (1978) 429–444] proposed DEA (Data Envelopement Analysis) as a mean measuring evaluating performance firms. This paper proposes model for production technologies which differs from traditional model. The usual convex framework is replaced by an order theoretical condition: if two input vectors can produce given output then maximum coordinatewise these that same output. In this model, are dually linked min–max cost function dual to Shephard's distance function. Assuming free disposal outputs be completely described in closed form.

参考文章(10)
Rolf Färe, C. A. Knox Lovell, Shawna Grosskopf, The measurement of efficiency of production ,(1985)
J.-E. Martínez-Legaz, A.M. Rubinov, I. Singer, Downward Sets and their separation and approximation properties Journal of Global Optimization. ,vol. 23, pp. 111- 137 ,(2002) , 10.1023/A:1015583411806
Aleksandr Moiseevich Rubinov, Abstract convexity and global optimization Kluwer Academic. ,(2000)
Ronald William Shephard, Theory of cost and production functions ,(1970)
Ulrich Robert Kohli, Non-joint Technologies The Review of Economic Studies. ,vol. 50, pp. 209- 219 ,(1983) , 10.2307/2296966
A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units European Journal of Operational Research. ,vol. 2, pp. 429- 444 ,(1978) , 10.1016/0377-2217(78)90138-8
G. Adilov, A. M. Rubinov, Convex Sets and Functions Numerical Functional Analysis and Optimization. ,vol. 27, pp. 237- 257 ,(2006) , 10.1080/01630560600698343
R. D. Banker, A. Charnes, W. W. Cooper, Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis Management Science. ,vol. 30, pp. 1078- 1092 ,(1984) , 10.1287/MNSC.30.9.1078
M. J. Farrell, The Measurement of Productive Efficiency Journal of the Royal Statistical Society. Series A (General). ,vol. 120, pp. 253- 281 ,(1957) , 10.2307/2343100
Henry Tulkens, Dominique Deprins, Léopold Simar, Measuring labor-efficiency in post offices LIDAM Reprints CORE. ,(1984)