Measuring the efficiency of decision making units

  title={Measuring the efficiency of decision making units},
  author={Abraham Charnes and William W. Cooper and Ed Rhodes},
  journal={European Journal of Operational Research},
Efficiency Analysis for Exogenously Fixed Inputs and Outputs
This work evaluates the relative technical and scale efficiencies of decision making units DMUs when some of the inputs or outputs are exogenously fixed and beyond the discretionary control of DMU managers through mathematical programming formulations.
Selective convexity in DEA models
A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis
DEA (Data Envelopment Analysis) attempts to identify sources and estimate amounts of inefficiencies contained in the outputs and inputs generated by managed entities called DMUs (Decision Making
Continuity of DEA Efficiency Measures
Focusing on convex production possibility sets, this work gives examples where radial DEA measures fail to be continuous, i.e., they "jump" under small data perturbations.
Chance constrained efficiency evaluation
A model for efficiency evaluation based upon the theory of chance constrained programming is developed. The model uses a piecewise linear envelopment of confidence regions for observed stochastic
Linear Programming Models for the Measurement of Environmental Performance of Firms—Concepts and Empirical Results
I use linear programming models to define standardised, aggregate environmental performance indicators for firms. The best practice frontier obtained corresponds to decision making units showing the
Nonparametric Methods for Evaluating Economic Efficiency and Imperfect Competition
This article unifies and extends ideas from nonparametric production analysis and DEA for testing organizational efficiency. We show how the admissible price set can be restricted to account for
Using Value Efficiency Analysis to Benchmark Nonhomogeneous Units
This work developed the approach to provide a framework for quantitative performance comparison for the Helsinki parishes, which has heterogeneous structures and operate in various environments leading to different emphases of outputs.


Measuring the Efficiency of Decision Making Units with Some New Production Functions and Estimation Methods.
Abstract : A series of linear programming models are used to clarify and extend a measure of efficiency. The duals to these models are shown to yield estimates of production coefficients from the
Estimating Efficient Production Functions Under Increasing Returns to Scale
AN earlier paper by one of us (Farrell, 1957) developed, inter alia, a method for estimating efficient production functions from observations of the inputs and outputs of a number of individual
Management Models and Industrial Applications of Linear Programming
An accelerating increase in linear programming applications to industrial problems has made it virtually impossible to keep abreast of them, not only because of their number and diversity but also
The Xistence of X-Efficiency
Harvey Leibenstein called attention in an influential article (1966) to a source of economic inefficiency which was given the awful name of X[in]efficiency. He cited studies in which misallocations
An explicit general solution in linear fractional programming
The formulations as well as the proofs and the transformations provided by the general linear fractional programming theory are here employed to provide a substantial simplification for this class of cases.
Cost and production functions
1. The Process Production Function.- 2. Heuristic Principle of Minimum Costs.- 3. The Producer's Minimum Cost Function.- 4. Dual Determination of Production Function From Cost Function.- 5. Geometric
Parameter-free convex equivalent and dual programs of fractional programming problems
  • S. Schaible
  • Mathematics, Computer Science
    Z. Oper. Research
  • 1974
SummaryAn appropriate generalization ofCharnes-Cooper's [1962] variable transformation is introduced, by which a parameter-free convex program is associated to nonlinear fractional programs. The
Duality for nonlinear fractional programs
Duality results for nonlinear fractional programming problems are developed by using some known results connecting the solutions of a non linear fractional program with those of a suitably defined parametric convex program.
On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function
"A previous draft of this paper also appeared under the title Regression estimation with an asymmetric criterion function ... [in] July, 1974."