Classic data envelopment analysis (DEA) models do not provide unique solutions for multipliers of extreme efficient units. To overcome this problem, previous works have proposed the smooth DEA technique. However, multidimensional models with variable returns to scale (BCC) present deficiencies, as they do not fully ensure the frontier’s convexity. Therefore, the main contribution of this paper is to correct smooth BCC models, with regard to such property. Moreover, we propose improvements to smooth DEA models, so that all projections for the evaluated units, and their efficiency values, are non-negative. Furthermore, based on the corrected and improved smooth model, we propose a solution to avoid a classic BCC distortion, which may be called efficiency by default. Finally, we evaluate the operational performance of Brazilian airlines in 2010, to show the applicability of our model and to illustrate the practical effect of our contributions.
Accepté le :
DOI : 10.1051/ro/2016012
Mots clés : Smooth DEA, DEA properties, BCC distortion, efficiency by default, airlines efficiency
@article{RO_2017__51_1_157_0, author = {Brand\~ao, Luana C. and Soares de Mello, Jo\~ao Carlos C.B.}, title = {Improvements to smooth data envelopment analysis}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {157--171}, publisher = {EDP-Sciences}, volume = {51}, number = {1}, year = {2017}, doi = {10.1051/ro/2016012}, mrnumber = {3597664}, zbl = {1358.90055}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2016012/} }
TY - JOUR AU - Brandão, Luana C. AU - Soares de Mello, João Carlos C.B. TI - Improvements to smooth data envelopment analysis JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 157 EP - 171 VL - 51 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2016012/ DO - 10.1051/ro/2016012 LA - en ID - RO_2017__51_1_157_0 ER -
%0 Journal Article %A Brandão, Luana C. %A Soares de Mello, João Carlos C.B. %T Improvements to smooth data envelopment analysis %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 157-171 %V 51 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2016012/ %R 10.1051/ro/2016012 %G en %F RO_2017__51_1_157_0
Brandão, Luana C.; Soares de Mello, João Carlos C.B. Improvements to smooth data envelopment analysis. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 157-171. doi : 10.1051/ro/2016012. http://www.numdam.org/articles/10.1051/ro/2016012/
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