Cone Ratio Data Envelopment Analysis and Multi-Objective Programming.

Abstract

A new cone-ratio Data Envelopment Analysis model which substantially generalizes the CCR model and the Charnes-Cooper Thrall approach characterizing its efficiency classes is herein developed and studied. It allows for infinitely many DMU's and arbitrary closed convex cones for the virtual multipliers as well as the cone of positivity of the vectors involved. Generalizations of linear programming and polar cone dualizations are the analytical vehicles employed. Keywords: multi-attribute optimization; Efficiency Analysis.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA180336

Entities

People

  • Abraham Charnes
  • Q. L. Wei
  • William W. Cooper
  • Z. M. Huang

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Business Administration
  • Computer Programming
  • Efficiency
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Nonlinear Programming
  • Operations Research
  • Optimization
  • Systems Science
  • Theorems
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Operations Research