Measuring the Efficiency of Decision Making Units with Some New Production Functions and Estimation Methods.

Abstract

A new series of linear programming models is used to clarify and extend a measure of efficiency introduced by M.J. Farrell. Multiple output as well as single output versions are provided which relate this efficiency to ordinary Pareto-Koopmans optimality conditions. Their duals supply numerical estimates of production coefficients. This duality, from mathematical programming, is distinguished from another in the theory of production and then used to provide new nonlinear duals which open contacts with other mathematical programming developments in areas like fractional programming, etc.

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Document Details

Document Type
Technical Report
Publication Date
Oct 08, 1976
Accession Number
ADA038211

Entities

People

  • Abraham Charnes
  • E. Rhodes
  • William W. Cooper

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Business Administration
  • Calculus Of Variations
  • Commerce
  • Computations
  • Computer Programming
  • Convex Sets
  • Inequalities
  • Linear Programming
  • Mathematical Models
  • Mathematical Programming
  • Mathematics
  • Military Research
  • New York
  • Operations Research
  • Simplex Method
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Electrical Engineering
  • Operations Research