Data Envelopment Analysis and Axiomatic Notions of Efficiency and Reference Sets.

Abstract

Serious mathematical and computational errors and misstatements culminating in erroneous characterizations of Data Envelopment Analysis (DEA) models and methods and their relationship to the axiomatic production models of Shepard type by Fare, Hunsaker and others are corrected together with new exposition and contrast of current DEA methodology with the Shepard axiomatic modelling types. The stochastic base of DEA is shown to be uncertainty, not risk. A new computationally effective extended additive (EA) model is developed to handle processes with input thresholds and output ceilings and thereby not subsumable under Shepard axiomatics. Keywords: CCR Ratio model; Multi-objective programming.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA180195

Entities

People

  • Abraham Charnes
  • J. Rousseau
  • J. Semple
  • William W. Cooper

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Business Administration
  • Coefficients
  • Computations
  • Computer Programming
  • Contracts
  • Convex Programming
  • Linear Programming
  • Marketing
  • Mathematical Programming
  • Nonlinear Programming
  • Numbers
  • Operations Research
  • Production
  • Production Models
  • Topology
  • Universities

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research
  • Software Engineering.