Linear programming approaches to the measurement and analysis of productive efficiency
type: Item
instance of: scholarly article
title: Linear programming approaches to the measurement and analysis of productive efficiency
zbMATH Open document ID: 0828.90009
DOI: 10.1007/BF02574810
published in: Top
publication date: 1996-01-08T00:00:00Z
review text: This paper is a survey of the operations research/management science/economics literature which uses linear programming techniques to calculate indexes of producer performance. Among the indexes are measures of technical efficiency (distance, or gauge, functions), indexes of scale efficiency, indexes of cost efficiency and indexes or revenue efficiency. Linear programs are constructed which (i) characterize the structure of best-practice production technology, and (ii) provide indexes of producer performance in terms of distance from best practice. Information from both primal and dual programs is exploited in the analysis. Among the topics covered are (i) basic models, (ii) complementary slackness, (iii) relaxing constant returns to scale, (iv) modifying strong disposability, (v) constraining shadow prices, (vi) relaxing convexity, (vii) allowing nonpositive variables, (viii) incorporating nondiscretionary and categorical variables, and (ix) introducing a stochastic element by means of chance-constrained programming techniques.
Mathematics Subject Classification ID: 91B38
Mathematics Subject Classification ID: 90C90
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 770251
zbMATH Keywords: survey
zbMATH Keywords: measures of technical efficiency
author: C. A. Knox Lovell
describes a project that uses: DEA
MaRDI profile type: Publication
cites work: Efficiency Estimation of Production Functions
cites work: Formulation and estimation of stochastic frontier production function models
cites work: Translation invariance in data envelopment analysis
cites work: Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis
cites work: Efficiency Analysis for Exogenously Fixed Inputs and Outputs
cites work: Estimation of returns to scale using data envelopment analysis
cites work: Programming with linear fractional functionals
cites work: Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints
cites work: Polyhedral cone-ratio DEA models with an illustrative application to large commercials banks
cites work: Q4890890
cites work: Classifying and characterizing efficiencies and inefficiencies in data development analysis
cites work: Q3832312
cites work: Q3483083
cites work: Q4039401
cites work: The Coefficient of Resource Utilization
cites work: Fundamentals of production theory
cites work: Q5284109
cites work: Measuring the technical efficiency of production
cites work: A DEA-based analysis of productivity change and intertemporal managerial performance
cites work: Q5514145
cites work: Q5808732
cites work: On the Identifiability Problem for Functions of Finite Markov Chains
cites work: Q4885958
cites work: Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error
cites work: Chance Constrained Efficiency Evaluation
cites work: Continuity of measures of technical efficiency
cites work: Q4404652
cites work: Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects
description: scientific article; zbMATH DE number 770251