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https://github.com/r-opt/rmpk

Mixed Integer Linear and Quadratic Programming in R
https://github.com/r-opt/rmpk

linear-programming mixed-integer-programming modelling quadratic-programming r

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Mixed Integer Linear and Quadratic Programming in R

Lists

README 

        
---

output: github_document

---



```{r, include = FALSE}

knitr::opts_chunk$set(

  collapse = TRUE,

  comment = "#>",

  fig.path = "man/figures/README-",

  out.width = "100%"

)

```

# MIP Modelling in R



[![Lifecycle: experimental](https://img.shields.io/badge/lifecycle-experimental-orange.svg)](https://www.tidyverse.org/lifecycle/#experimental)

[![R-CMD-check](https://github.com/r-opt/rmpk/workflows/R-CMD-check/badge.svg)](https://github.com/r-opt/rmpk/actions)

[![Codecov test coverage](https://codecov.io/gh/r-opt/rmpk/branch/master/graph/badge.svg)](https://app.codecov.io/gh/r-opt/rmpk?branch=master)



`rmpk` is a lightweight package to model mixed integer linear programs. It is based on the API of the [ompr](https://github.com/dirkschumacher/ompr) package and is also inspired by the architecture of [Julia JuMP](https://github.com/JuliaOpt/JuMP.jl).



The goal is to provide a modelling package that can both be used in packages and also in interactive analyses. It also has a different architecture as the modelling layer modifies a central solver. That solver could be an interface to [ROI](https://CRAN.R-project.org/package=ROI) or a shared pointer to a specific solver. Thus giving the option to directly communicate with the solver while still using an algebraic modelling framework.



This is currently work in progress and experimental - but working. I might merge it with [ompr](https://github.com/dirkschumacher/ompr) but it could also become the successor of [ompr](https://github.com/dirkschumacher/ompr) ... not sure yet.



If you want to see the package in action take a look at the [articles](https://r-opt.github.io/rmpk/) in the docs.



Happy to receive feedback!



_Still under development. Anything can change_



## Installation



You can install the released version of RMPK from [CRAN](https://CRAN.R-project.org) with:



``` r

remotes::install_github("r-opt/rmpk")

```



## Supported types



* Linear Programming (LP)

* Mixed Integer Linear Programming (MILP)

* Mixed Integer Quadratic Programming (MIQP)

* Mixed Integer Quadratically Constrained Programming (MIQCP)



## Features



* ✅ Algebraic modelling of mixed integer programming problems

* ✅ Integer, binary and continious variables

* ✅ Linear and quadratic constraints/objective

* ✅ Bindings to most popular solvers through [ROI](https://CRAN.R-project.org/package=ROI)

* ✅ Support for character variable indexes

* ✅ Access row/column duals of Linear Programs

* ✅ Row generation through solver callbacks (e.g. for models with exponential many constraints)



* 🚧 Variable and constraint names

* 🚧 Initial feasible solutions

* 🚧 Almost as fast as matrix code

* ...



## Low Level ROI Example



```{r}

library(rmpk)

library(ROI.plugin.glpk)

set.seed(42)

solver <- ROI_optimizer("glpk")

v <- rnorm(10)

w <- rnorm(10)

model <- optimization_model(solver)

x <- model$add_variable("x", type = "binary", i = 1:10)

model$set_objective(sum_expr(v[i] * x[i], i = 1:10), sense = "max")

model$add_constraint(sum_expr(w[i] * x[i], i = 1:10) <= 10)

model$optimize()

model$get_variable_value(x[i])

```



## List of solvers



`rmpk` supports all solvers that implement the [`MOI` interface](https://github.com/r-opt/MOI). It also comes

with a `ROI_optimzer` that internally uses [`ROI`](https://roi.r-forge.r-project.org/index.html) and thus gives [access to most

popular solvers](https://roi.r-forge.r-project.org) out of the box.

Note that `ROI` has its own plugin system and you need to install these solvers

separately in addition to [`ROIoptimizer`](https://github.com/r-opt/ROIoptimizer).



```{r, echo = FALSE}

roi_solvers <- ROI::ROI_available_solvers()$Package

roi_solvers <- unique(substr(roi_solvers, 12, nchar(roi_solvers)))

df <- data.frame(

  solver_name = c(roi_solvers, "glpk"),

  r_package = c(rep.int("ROIoptimizer", length(roi_solvers)), "GLPKoptimizer"),

  url = c(rep.int("https://github.com/r-opt/ROIoptimizer", length(roi_solvers)), "https://github.com/r-opt/GLPKoptimizer"),

  stringsAsFactors = FALSE

)



knitr::kable(df[order(df$solver_name), ],

  col.names = c("Solver Name", "R Package", "Github URL"),

  row.names = FALSE

)

```



## Contribute



The best way at the moment to contribute is to test the package, write documentation, propose features. Soon, code contributions are welcome as well.



Please note that the 'rmpk' project is released with a

[Contributor Code of Conduct](CODE_OF_CONDUCT.md).

By contributing to this project, you agree to abide by its terms.



## License



MIT



## References and Inspiration



* Dunning, Iain, Joey Huchette, and Miles Lubin. "JuMP: A modeling language for mathematical optimization." SIAM Review 59.2 (2017): 295-320.

* [ompr](https://github.com/dirkschumacher/ompr)

* [pulp](https://github.com/coin-or/pulp)