Let me answer my own question after some research, even though it seems like this is a critical area of interest. There is almost certainly other software out there that is not listed below. Unfortunately, it is sometimes hard to determine the exact functionality of a commercial software without trying it out firsthand (which I did not do), so take the categorization of the software below with a grain of salt.

Many softwares support sensitivity analysis, parameter sweeps, and/or design of experiments for building design, but not necessarily mathematical optimization. A partial list includes

• jEPlus (free)
• Autodesk Insight
• TRACE 3D Plus
• Solemma Climate Studio + Rhino Grasshopper
• Trynsys

Some softwares support true mathematical optimization of buildings, usually, but not always, via a multi objective approach using a genetic algorithm like NSGA-II:

• BEOpt
• Coupling Ladybug Tools (free) with Rhino Grasshopper is a common DIY approach
• IESVE
• DesignBuilder
• TasGenOpt relies on GenOpt (free)
• cove.tool
• OpenStudio Analysis Framework (OSAF) (free) provides multiple algorithms for optimization

Comments, corrections, and additions are welcome, especially from direct users of the software above.

Let me answer my own question after some research, even though it seems like this is a critical area of interest. There is almost certainly other software out there that is not listed below. Unfortunately, it is sometimes hard to determine the exact functionality of a commercial software without trying it out firsthand (which I did not do), so take the categorization of the software below with a grain of salt.

Many softwares support sensitivity analysis, parameter sweeps, and/or design of experiments for building design, but not necessarily mathematical optimization. A partial list includes

• jEPlus (free)
• Autodesk Insight
• TRACE 3D Plus
• Solemma Climate Studio + Rhino Grasshopper
• Trynsys

Some softwares support true mathematical optimization of buildings, usually, but not always, via a multi objective approach using a genetic algorithm like NSGA-II:

• BEOpt
• Coupling Ladybug Tools (free) with Rhino Grasshopper is a common DIY approach
• IESVE
• DesignBuilder
• TasGenOpt relies on GenOpt (free)
• cove.tool
• OpenStudio Analysis Framework (OSAF) (free) provides multiple algorithms for optimization

Comments, corrections, and additions are welcome, especially from direct users of the software above.

Let me answer my own question after some research, even though it seems like this is a critical area of interest. There is almost certainly other software out there that is not listed below. Unfortunately, it is sometimes hard to determine the exact functionality of a commercial software without trying it out firsthand (which I did not do), so take the categorization of the software below with a grain of salt.

Many softwares support sensitivity analysis, parameter sweeps, and/or design of experiments for building design, but not necessarily mathematical optimization. A partial list includes

• jEPlus (free)
• Autodesk Insight
• TRACE 3D Plus
• Solemma Climate Studio + Rhino Grasshopper
• Trynsys

Some softwares support true mathematical optimization of buildings, usually, but not always, via a multi objective approach using a genetic algorithm like NSGA-II:

• BEOpt
• Coupling Ladybug Tools (free) with Rhino Grasshopper is a common DIY approach
• IESVE
• DesignBuilder
• TasGenOpt relies on GenOpt (free)
• cove.tool
• OpenStudio Analysis Framework (OSAF) (free) provides multiple algorithms for optimization?

Comments, corrections, and additions are welcome, especially from direct users of the software above.

Let me answer my own question after some research, even though it seems like this is a critical area of interest. There is almost certainly other software out there that is not listed below. Unfortunately, it is sometimes hard to determine the exact functionality of a commercial software without trying it out firsthand (which I did not do), so take the categorization of the software below with a grain of salt.

Many softwares support sensitivity analysis, parameter sweeps, and/or design of experiments for building design, but not necessarily mathematical optimization. A partial list includes

• jEPlus (free)
• Autodesk Insight
• TRACE 3D Plus
• Solemma Climate Studio + Rhino Grasshopper
• Trynsys

Some softwares support true mathematical optimization of buildings, usually, but not always, via a multi objective approach using a genetic algorithm like NSGA-II:

• BEOpt
• Coupling Ladybug Tools (free) with Rhino Grasshopper is a common DIY approach
• IESVE
• DesignBuilder
• TasGenOpt relies on GenOpt (free)
• cove.tool?

Comments, corrections, and additions are welcome, especially from direct users of the software above.