# DataEnvelopmentAnalysis.jl
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A Julia package for efficiency and productivity measurement using Data Envelopment Analysis (DEA)

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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](https://github.com/JuliaOpt/JuMP.jl) modelling language for mathematicall optimization with solvers [GLPK](http://www.gnu.org/software/glpk/) and [Ipopt](https://coin-or.github.io/Ipopt/).

## Installation

The package can be installed with the Julia package manager:
```julia
julia> using Pkg; Pkg.add("DataEnvelopmentAnalysis")
```

## Documentation

The latest stable release documentation is available [here](https://javierbarbero.github.io/DataEnvelopmentAnalysis.jl/stable).

## Available models

**Technical efficiency DEA models**

* Radial input and output oriented model.
* Directional distance function model.
* 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 model.
* Russell graph and oriented model.
* Enhanced Russell Graph Slack Based Measure.
* Modified directional distance function.
* Hölder distance function.
* Reverse directional distance function.
* Environmental model.

**Economic efficiency DEA models**

* Cost model.
* Revenue model.
* Profit model.
* Profitability model.

**Productivity change models**

* Mamlmquist index.
* Malmquist-Luenberger index.

**Statistical Analysis**

* Bootstrap Radial DEA Model.
* Returns to Scale (RTS) Test.

## Authors

DataEnvelopmentAnalysis.jl is being developed by [Javier Barbero](http://www.javierbarbero.net) and [José Luis Zofío](http://www.joselzofio.net).