Volume 51, Number 1, January-March 2017
|Page(s)||157 - 171|
|Published online||05 January 2017|
Improvements to smooth data envelopment analysis
1 Post Graduation in Production Engineering, Universidade Federal Fluminense, Rua Passo da Pátria 156, 24. 210-240 Niterói/RJ, Brazil ;
2 Production Engineering Department, Universidade Federal Fluminense, Rua Passo da Pátria 156, 24. 210-240 Niterói/RJ, Brazil ;
Received: 3 March 2015
Accepted: 1 February 2016
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.
Mathematics Subject Classification: 90B50
Key words: Smooth DEA / DEA properties / BCC distortion / efficiency by default / airlines efficiency
© EDP Sciences, ROADEF, SMAI 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.