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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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#r "nuget: OPTANO.Modeling,"
#r directive can be used in F# Interactive, C# scripting and .NET Interactive. Copy this into the interactive tool or source code of the script to reference the package.
// Install OPTANO.Modeling as a Cake Addin
#addin nuget:?package=OPTANO.Modeling&version=

// Install OPTANO.Modeling as a Cake Tool
#tool nuget:?package=OPTANO.Modeling&version=
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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.

NuGet packages (4)

Showing the top 4 NuGet packages that depend on OPTANO.Modeling:

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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


OPTANO.Modeling.GLPK provides a solver adapter that connects the GLPK ( https://www.gnu.org/software/glpk/ ) to OPTANO.Modeling ( https://www.nuget.org/packages/optano.modeling ). Copyright (C) 2020 OPTANO GmbH This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see https://www.gnu.org/licenses/

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Version Downloads Last updated 154 10/15/2021 177 8/27/2021 2,215 4/26/2021 409 12/10/2020 579 11/23/2020 431 11/17/2020 193 8/20/2020 949 7/16/2020 1,771 2/21/2020 315 1/16/2020 287 1/9/2020 327 1/8/2020 386 12/10/2019 4,935 5/6/2019 324 4/29/2019 148 1/13/2021 258 11/25/2020 1,224 5/6/2019 344 4/25/2019 361 4/4/2019 428 2/14/2019 383 1/31/2019 572 1/14/2019 568 1/14/2019 602 12/19/2018 407 12/15/2018 414 12/4/2018 501 12/3/2018 409 12/2/2018 463 11/29/2018 2,138 9/5/2018 694 5/25/2018 523 5/16/2018 674 5/2/2018 609 3/14/2018 753 1/24/2018 709 1/24/2018 1,159 11/15/2017 822 10/18/2017 754 9/28/2017 901 9/5/2017 963 9/3/2017 771 8/26/2017 732 8/20/2017 838 8/10/2017 768 8/4/2017 802 7/13/2017 834 5/8/2017 804 4/20/2017 942 3/6/2017 849 3/4/2017 894 3/3/2017 835 2/23/2017 882 1/3/2017 869 12/23/2016 843 11/23/2016 4,731 11/1/2016


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.