Maven Central License: LGPL v3 Build Status

Optimus is a library for Linear and Quadratic mathematical optimization written in Scala programming language.


This program comes with ABSOLUTELY NO WARRANTY. This is free software, and you are welcome to redistribute it under certain conditions; See the GNU Lesser General Public License v3 for more details.


  1. High level mathematical modeling in Scala using algebraic expressions
  • Linear and quadratic objective and constraint expressions.
  • Higher order expressions cannot be defined or handled by the solvers yet.
  • Addition, subtraction and multiplication operations can be performed on expressions.
  • Expression simplification produces the simpler form of the expression.
  1. Supports various optimization settings by using existing mathematical programming solvers
  • Linear programming (LP)
  • Quadratic programming (QP)
  • Quadratic constraint quadratic programming (QCQP)
  • Mixed integer programming (MIP)
  1. Available solvers:
  • Open source LpSolve can be used for LP and MIP.
  • Open source oJSolver can be used for LP, QP and MIP.
  • Proprietary solver Gurobi can be used for efficiently solving LP, QP, QCQP and MIP.
  • Proprietary solver Mosek can be used for efficiently solving LP, QP, QCQP and MIP.


See Building and Linking



Contributions are welcome, for details see CONTRIBUTING.md.

Reference for Scientific Publications

Please use the following BibTeX entry to cite Optimus in your papers:

      author = {Evangelos Michelioudakis and Anastasios Skarlatidis},
      title = {Optimus: an open-source mathematical optimization library},
      url = {https://github.com/vagmcs/Optimus}