DataEnvelopmentAnalysis.jl

DataEnvelopmentAnalysis.jl is a Julia package that provides functions for efficiency and productivity measurement using Data Envelopment Analysis (DEA). Particularly, it implements a variety of technical efficiency models, economic efficiency models and productivity change models.

The package is being developed for Julia 1.6 and above on Linux, macOS, and Windows.

The packes uses internally the JuMP modelling language for mathematicall optimization with solvers GLPK and Ipopt.

Installation

The package can be installed with the Julia package manager:

julia> using Pkg; Pkg.add("DataEnvelopmentAnalysis")

Tutorial

For a tutorial on how to use the package, check the documentation on the Radial Input Oriented Model.

Available models

Technical efficiency DEA models:

• Radial Models
• • Radial Input Oriented Model
  • Radial Output Oriented Model
  • Radial Model in Multiplier Form
• Radial Big Data Models
• Directional Distance Function Models
• • Directional Distance Function Model in Multiplier Form
• Additive Models
• • Weighted Additive Model
  • Measure of Inefficiency Proportions (MIP)
  • Normalized Weighted Additive Model
  • Range Adjusted Measure (RAM)
  • Bounded Adjusted Measure (BAM)
• Generalized Distance Function Models
• Russell Models
• • Russell Input Model
  • Russell Output Model
  • Russell Graph Model
• Enhanced Russell Graph Slack Based Measure
• Modified Directional Distance Function
• Hölder Distance Function Models
• • Hölder L1
  • Hölder L2
  • Hölder LInf
• Reverse Directional Distance Function
• Environmental Model

Economic efficiency DEA models:

• Cost Models
• Revenue Models
• Profit Models
• Profitability Models

Productivity change models:

• The Malmquist index
• The Malmquist-Luenberger index

Statistical Analysis:

• Bootstrap Radial Model
• Returns to Scale (RTS) Test

Extensions

The BenchmarkingEconomicEfficiency.jl package provides an extensive set of functions for economic efficiency measurement using Data Envelopment Analysis (DEA).

Authors

DataEnvelopmentAnalysis.jl is being developed by Javier Barbero and José Luís Zofío.