Journal of Productivity Analysis

, Volume 38, Issue 2, pp 109–120

Families of linear efficiency programs based on Debreu’s loss function

  • Jesus T. Pastor
  • C. A. Knox Lovell
  • Juan Aparicio

DOI: 10.1007/s11123-011-0216-4

Cite this article as:
Pastor, J.T., Lovell, C.A.K. & Aparicio, J. J Prod Anal (2012) 38: 109. doi:10.1007/s11123-011-0216-4


Gerard Debreu introduced a well known radial efficiency measure which he called a “coefficient of resource utilization.” He derived this scalar from a much less well known “dead loss” function that characterizes the monetary value sacrificed to inefficiency, and which is to be minimized subject to a normalization condition. We use Debreu’s loss function, together with a variety of normalization conditions, to generate several popular families of linear efficiency programs. Our methodology also can be employed to generate entirely new families of linear efficiency programs.


Loss function Linear efficiency programs DEA 

JEL Classification

C51 C61 

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Jesus T. Pastor
    • 1
  • C. A. Knox Lovell
    • 2
    • 3
  • Juan Aparicio
    • 1
  1. 1.Center of Operations Research (CIO) at University Miguel Hernandez of ElcheElcheSpain
  2. 2.School of EconomicsUniversity of QueenslandBrisbaneAustralia
  3. 3.Department of Economics, Terry College of BusinessUniversity of GeorgiaAthensUSA

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