The OPTANO Modeling library allows you to use C# as a Modeling language for mathematical optimization (mixed integer programming (MIP) and linear programming (LP)). It has a lightweight footprint and connects to several solvers.

There is a newer version of this package available.
See the version list below for details.
Install-Package OPTANO.Modeling -Version
dotnet add package OPTANO.Modeling --version
<PackageReference Include="OPTANO.Modeling" Version="" />
For projects that support PackageReference, copy this XML node into the project file to reference the package.
paket add OPTANO.Modeling --version
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Release Notes


Version 2.0.0 has been tested to comply with dotnet standard 2.0.

• Breaking Change: Removed  and replaced it with @OPTANO.Modeling.Optimization.Implication
o The reasoning behind this is that we tried to create a more intuitive API. Since a  basically was a "backwards implication", and the constructor required a @OPTANO.Modeling.Optimization.Not-constraint, the final effect was not apparent.
o The new @OPTANO.Modeling.Optimization.Implication operator clearly states which constraint will be the @OPTANO.Modeling.Optimization.Implication.Premise and which one will be the @OPTANO.Modeling.Optimization.Implication.Premise.Conclusion.
• Breaking Change: The signature of @OPTANO.Modeling.Optimization.GenericVariableCollection{T} was changed.
o The DebugNameGenerator delegate's signature was changed to (index) => string.
 Previously: (index) => StringBuilder
o Initially, we tried to enforce the usage of @System.Text.StringBuilder in order to prevent the user specifying names with long chains of string + string + ...
o With the introduction of short names, this style will not affect performance in a productive environment.
o We'd still suggest using either string.Format(), string interpolation, or expressions like 'new @System.Text.StringBuilder().Append() ... Append().ToString().
• Improvement: Better handling of BigM
o BigM is required during the transformation of @OPTANO.Modeling.Optimization.OperatorExpressions, such as @OPTANO.Modeling.Optimization.Abs to 'linear expressions'.
 User can provide an optional BigM when such a @OPTANO.Modeling.Optimization.OperatorExpression is created.
o New implementation for the automatic derivation of a BigM
 When @OPTANO.Modeling.Optimization.Variables have finite bounds, the maximum row sum is computed and used as BigM
 Only when this fails, the user-provided BigM is used.
 If user does not provide a finite BigM, an @System.InvalidOperationException is thrown.
• Improvement: Centralized name-cleansing and unified behavior among different types (Variable, Constraint, Objective, VariableCollection, @OPTANO.Modeling.Optimization.OperatorConstraint)
o Also, Constraint and Objective now use the same counter for the base64 suffixes
o This prevents duplicate name issues when exporting a model to MPS.
• Improvement: Operator '==' now creates a nicer Constraint for 'Variable x == double c'
o Old: 0 <= x - c < 0 (even if c = 0).
o New: c <= x < c
• Change: Configuration.CopySolutionToModel == true in default (was false)
• Change: @OPTANO.Modeling.Optimization.Expression.Evaluate now requires the passed values for the @OPTANO.Modeling.Optimization.Variables to be within the range of [LowerBound, @OPTANO.Modeling.Optimization.Variable.UpperBound].
• Fix: Gurobi ISV Keys have not been handled correctly
• Fix: Improved the stability of he LP- and MPS Reader/Writers. They are used for im-/export of models when a solver does not provide a native API.
• Fix: In some cases the ExpressionNormalizer threw a @System.Collections.Generic.KeyNotFoundException. Cases now are handled correctly.
• Fix: ModelTransformation
o @OPTANO.Modeling.Optimization.OperatorExpressions were not remove from the Model after they were transformed
o Some helper-constraints were not marked as helper and thus not removed from the Model even though RestoreUserModelAfterSolve was set to true.
o Normalizing all @OPTANO.Modeling.Optimization.Expressions before transforming them
 Can prevent issues while encountering @OPTANO.Modeling.Optimization.Times operators during derivation of BigM
o In a helper method BigM falsely was used, when working with a 'lower bound @OPTANO.Modeling.Optimization.Constraint'.
• Fix: @OPTANO.Modeling.Optimization.Model.RemoveConstraint now also looks for @OPTANO.Modeling.Optimization.OperatorConstraints
o Before, @OPTANO.Modeling.Optimization.OperatorConstraints could not be removed from the Model.
Please also take the changes of alpha01 und alpha02 into account, when upgrading from version 1.6.

NuGet packages (3)

Showing the top 3 NuGet packages that depend on OPTANO.Modeling:

Package Downloads
The Optimization.Framework allows you to use C# as a modelling language for mathematical optimization. It furthermore allows you to use solvers as services.
State of the Art Mathematical Programming Solver This package ships all files to run Gurobi with OPTANO Modeling on win64 and linux64. No additional installation required. When running on linux, please also install gurobi as usual. OPTANO.Modeling.Gurobi comes with a size-limited Gurobi license (Package OPTANO Modeling required). Please visit https://www.gurobi.com/partners/optano to obtain an unlimited license.
A F# library for creating and solving Linear Programming and Mixed Integer Programming Models

GitHub repositories

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Version History

Version Downloads Last updated 50 8/20/2020 186 7/16/2020 810 2/21/2020 190 1/16/2020 162 1/9/2020 195 1/8/2020 159 12/10/2019 4,489 5/6/2019 203 4/29/2019 636 5/6/2019 225 4/25/2019 247 4/4/2019 252 2/14/2019 196 1/31/2019 303 1/14/2019 297 1/14/2019 318 12/19/2018 229 12/15/2018 229 12/4/2018 297 12/3/2018 211 12/2/2018 257 11/29/2018 1,899 9/5/2018 499 5/25/2018 330 5/16/2018 450 5/2/2018 411 3/14/2018 558 1/24/2018 516 1/24/2018 806 11/15/2017 453 10/18/2017 453 9/28/2017 579 9/5/2017 536 9/3/2017 467 8/26/2017 435 8/20/2017 489 8/10/2017 462 8/4/2017 505 7/13/2017 535 5/8/2017 499 4/20/2017 627 3/6/2017 532 3/4/2017 587 3/3/2017 532 2/23/2017 570 1/3/2017 558 12/23/2016 547 11/23/2016 985 11/1/2016
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