Journal of Productivity Analysis

, Volume 40, Issue 3, pp 285–292 | Cite as

Modeling CRS bounded additive DEA models and characterizing their Pareto-efficient points

  • Jesus T. Pastor
  • Juan Aparicio
  • Juan F. Monge
  • Diego Pastor


Dealing with weighted additive models in Data Envelopment Analysis guarantees that any projection of an inefficient unit belongs to the strong efficient frontier, among other interesting properties. Recently, constant returns to scale (CRS) range-bounded models have been introduced for defining a new additive-type efficiency measure (see Cooper et al. in J Prod Anal 35(2):85–94, 2011). This paper continues such earlier work further, considering a more general setting. In particular, we show that under free disposability of inputs and outputs, CRS bounded additive models require a double set of slacks. The second set of slacks allows us to properly characterize all the Pareto-efficient points associated to the bounded technology. We further introduce the CRS partially-bounded additive models.


Data envelopment analysis Additive models Bounded technology 

JEL Classifications

C51 C61 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Jesus T. Pastor
    • 1
  • Juan Aparicio
    • 1
  • Juan F. Monge
    • 1
  • Diego Pastor
    • 2
  1. 1.Center of Operations Research (CIO)Miguel Hernandez University of ElcheElcheSpain
  2. 2.Division Educacion Fisica y DeportivaMiguel Hernandez University of ElcheElcheSpain

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