Documentation

Gurobi Optimizer Reference Manual

The different Gurobi language interfaces share many common features. These are described at the end of this manual. Two particularly important common features are the Attribute interface and the Gurobi Parameter set. You may wish to bookmark these pages, since you are likely to refer to them frequently as you develop applications that use the Gurobi Optimizer.

Additional Topics

This document covers a number of additional topics, which are listed here:

• Variables and Constraints
• Attributes
• Parameters
• Optimization Status Codes
• Callback Codes
• Error Codes
• File Formats
• Logging
• Command-Line Tool
• Solution Pool
• Multiple Objectives
• Recording API Calls
• Concurrent Optimizer
• Parameter Tuning Tool
• Instant Cloud
• Guidelines for Numerical Issues

Additional Resources

You can consult the Gurobi Quick Start for a high-level overview of the Gurobi Optimizer, or the Gurobi Example Tour for a quick tour of the examples provided with the Gurobi distribution, or the Gurobi Remote Services Reference Manual for an overview of Gurobi Compute Server, Distributed Algorithms, and Gurobi Remote Services.

Getting Help

If you have a question that is not answered in this document, you can post it to the Gurobi Google Group. If you have a current maintenance contract with us, you can send your question to support@gurobi.com.

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• C API Overview
• C API Details
  • Environment Creation and Destruction
    • GRBloadenv
    • GRBemptyenv
    • GRBstartenv
    • GRBloadclientenv
    • GRBloadcloudenv
    • GRBfreeenv
    • GRBgetconcurrentenv
    • GRBgetmultiobjenv
    • GRBdiscardconcurrentenvs
    • GRBdiscardmultiobjenvs
  • Model Creation and Modification
    • GRBloadmodel
    • GRBnewmodel
    • GRBcopymodel
    • GRBaddconstr
    • GRBaddconstrs
    • GRBaddgenconstrXxx
    • GRBaddgenconstrMax
    • GRBaddgenconstrMin
    • GRBaddgenconstrAbs
    • GRBaddgenconstrAnd
    • GRBaddgenconstrOr
    • GRBaddgenconstrIndicator
    • GRBaddqconstr
    • GRBaddqpterms
    • GRBaddrangeconstr
    • GRBaddrangeconstrs
    • GRBaddsos
    • GRBaddvar
    • GRBaddvars
    • GRBchgcoeffs
    • GRBdelconstrs
    • GRBdelgenconstrs
    • GRBdelq
    • GRBdelqconstrs
    • GRBdelsos
    • GRBdelvars
    • GRBsetobjectiven
    • GRBsetpwlobj
    • GRBupdatemodel
    • GRBfreemodel
    • GRBXaddconstrs
    • GRBXaddrangeconstrs
    • GRBXaddvars
    • GRBXchgcoeffs
    • GRBXloadmodel
  • Model Solution
    • GRBoptimize
    • GRBoptimizeasync
    • GRBcomputeIIS
    • GRBfeasrelax
    • GRBfixedmodel
    • GRBreset
    • GRBsync
  • Model Queries
    • GRBgetcoeff
    • GRBgetconstrbyname
    • GRBgetconstrs
    • GRBgetenv
    • GRBgetgenconstrMax
    • GRBgetgenconstrMin
    • GRBgetgenconstrAbs
    • GRBgetgenconstrAnd
    • GRBgetgenconstrOr
    • GRBgetgenconstrIndicator
    • GRBgetpwlobj
    • GRBgetq
    • GRBgetqconstr
    • GRBgetsos
    • GRBgetvarbyname
    • GRBgetvars
    • GRBXgetconstrs
    • GRBXgetvars
  • Input/Output
    • GRBreadmodel
    • GRBread
    • GRBwrite
  • Attribute Management
    • GRBgetattrinfo
    • GRBgetintattr
    • GRBsetintattr
    • GRBgetintattrelement
    • GRBsetintattrelement
    • GRBgetintattrarray
    • GRBsetintattrarray
    • GRBgetintattrlist
    • GRBsetintattrlist
    • GRBgetdblattr
    • GRBsetdblattr
    • GRBgetdblattrelement
    • GRBsetdblattrelement
    • GRBgetdblattrarray
    • GRBsetdblattrarray
    • GRBgetdblattrlist
    • GRBsetdblattrlist
    • GRBgetcharattrelement
    • GRBsetcharattrelement
    • GRBgetcharattrarray
    • GRBsetcharattrarray
    • GRBgetcharattrlist
    • GRBsetcharattrlist
    • GRBgetstrattr
    • GRBsetstrattr
    • GRBgetstrattrelement
    • GRBsetstrattrelement
    • GRBgetstrattrarray
    • GRBsetstrattrarray
    • GRBgetstrattrlist
    • GRBsetstrattrlist
  • Parameter Management and Tuning
    • GRBtunemodel
    • GRBgettuneresult
    • GRBgetdblparam
    • GRBgetintparam
    • GRBgetstrparam
    • GRBsetdblparam
    • GRBsetintparam
    • GRBsetstrparam
    • GRBgetdblparaminfo
    • GRBgetintparaminfo
    • GRBgetstrparaminfo
    • GRBreadparams
    • GRBwriteparams
  • Monitoring Progress - Logging and Callbacks
    • GRBmsg
    • GRBsetcallbackfunc
    • GRBgetcallbackfunc
    • GRBcbget
    • GRBversion
  • Modifying Solver Behavior - Callbacks
    • GRBcbcut
    • GRBcblazy
    • GRBcbsolution
    • GRBterminate
  • Error Handling
    • GRBgeterrormsg
  • Advanced simplex routines
    • GRBFSolve
    • GRBBSolve
    • GRBBinvColj
    • GRBBinvRowi
    • GRBgetBasisHead
  
  
• C++ API Overview
• C++ API Details
  • GRBEnv
    • GRBEnv()
    • GRBEnv::get()
    • GRBEnv::getErrorMsg()
    • GRBEnv::getParamInfo()
    • GRBEnv::message()
    • GRBEnv::readParams()
    • GRBEnv::resetParams()
    • GRBEnv::set()
    • GRBEnv::start()
    • GRBEnv::writeParams()
  • GRBModel
    • GRBModel()
    • GRBModel::addConstr()
    • GRBModel::addConstrs()
    • GRBModel::addGenConstrXxx()
      • GRBModel::addGenConstrMax()
      • GRBModel::addGenConstrMin()
      • GRBModel::addGenConstrAbs()
      • GRBModel::addGenConstrAnd()
      • GRBModel::addGenConstrOr()
      • GRBModel::addGenConstrIndicator()
    • GRBModel::addQConstr()
    • GRBModel::addRange()
    • GRBModel::addRanges()
    • GRBModel::addSOS()
    • GRBModel::addVar()
    • GRBModel::addVars()
    • GRBModel::chgCoeff()
    • GRBModel::chgCoeffs()
    • GRBModel::computeIIS()
    • GRBModel::discardConcurrentEnvs()
    • GRBModel::discardMultiobjEnvs()
    • GRBModel::feasRelax()
    • GRBModel::fixedModel()
    • GRBModel::get()
    • GRBModel::getCoeff()
    • GRBModel::getCol()
    • GRBModel::getConcurrentEnv()
    • GRBModel::getConstrByName()
    • GRBModel::getConstrs()
    • GRBModel::getEnv()
    • GRBModel::getGenConstrMax()
    • GRBModel::getGenConstrMin()
    • GRBModel::getGenConstrAbs()
    • GRBModel::getGenConstrAnd()
    • GRBModel::getGenConstrOr()
    • GRBModel::getGenConstrIndicator()
    • GRBModel::getGenConstrs()
    • GRBModel::getMultiobjEnv()
    • GRBModel::getObjective()
    • GRBModel::getPWLObj()
    • GRBModel::getQCRow()
    • GRBModel::getQConstrs()
    • GRBModel::getRow()
    • GRBModel::getSOS()
    • GRBModel::getSOSs()
    • GRBModel::getTuneResult()
    • GRBModel::getVarByName()
    • GRBModel::getVars()
    • GRBModel::optimize()
    • GRBModel::optimizeasync()
    • GRBModel::presolve()
    • GRBModel::read()
    • GRBModel::remove()
    • GRBModel::reset()
    • GRBModel::setCallback()
    • GRBModel::set()
    • GRBModel::setObjective()
    • GRBModel.setObjectiveN()
    • GRBModel::setPWLObj()
    • GRBModel::sync()
    • GRBModel::terminate()
    • GRBModel::tune()
    • GRBModel::update()
    • GRBModel::write()
  • GRBVar
    • GRBVar::get()
    • GRBVar::sameAs()
    • GRBVar::set()
  • GRBConstr
    • GRBConstr::get()
    • GRBConstr::sameAs()
    • GRBConstr::set()
  • GRBQConstr
    • GRBQConstr::get()
    • GRBQConstr::set()
  • GRBSOS
    • GRBSOS::get()
  • GRBGenConstr
    • GRBGenConstr::get()
    • GRBGenConstr::set()
  • GRBExpr
    • GRBExpr::getValue()
  • GRBLinExpr
    • GRBLinExpr()
    • GRBLinExpr::addTerms()
    • GRBLinExpr::clear()
    • GRBLinExpr::getConstant()
    • GRBLinExpr::getCoeff()
    • GRBLinExpr::getValue()
    • GRBLinExpr::getVar()
    • GRBLinExpr::operator=
    • GRBLinExpr::operator+
    • GRBLinExpr::operator-
    • GRBLinExpr::operator+=
    • GRBLinExpr::operator-=
    • GRBLinExpr::operator*=
    • GRBLinExpr::remove()
    • GRBLinExpr::size()
  • GRBQuadExpr
    • GRBQuadExpr()
    • GRBQuadExpr::addTerm()
    • GRBQuadExpr::addTerms()
    • GRBQuadExpr::clear()
    • GRBQuadExpr::getCoeff()
    • GRBQuadExpr::getLinExpr()
    • GRBQuadExpr::getValue()
    • GRBQuadExpr::getVar1()
    • GRBQuadExpr::getVar2()
    • GRBQuadExpr::operator=
    • GRBQuadExpr::operator+
    • GRBQuadExpr::operator-
    • GRBQuadExpr::operator+=
    • GRBQuadExpr::operator-=
    • GRBQuadExpr::operator*=
    • GRBQuadExpr::remove()
    • GRBQuadExpr::size()
  • GRBTempConstr
  • GRBColumn
    • GRBColumn()
    • GRBColumn::addTerm()
    • GRBColumn::addTerms()
    • GRBColumn::clear()
    • GRBColumn::getCoeff()
    • GRBColumn::getConstr()
    • GRBColumn::remove()
    • GRBColumn::size()
  • GRBCallback
    • GRBCallback()
    • GRBCallback::abort()
    • GRBCallback::addCut()
    • GRBCallback::addLazy()
    • GRBCallback::getDoubleInfo()
    • GRBCallback::getIntInfo()
    • GRBCallback::getNodeRel()
    • GRBCallback::getSolution()
    • GRBCallback::getStringInfo()
    • GRBCallback::setSolution()
    • GRBCallback::useSolution()
  • GRBException
    • GRBException()
    • GRBException::getErrorCode()
    • GRBException::getMessage()
  • Non-Member Functions
    • operator==
    • operator<=
    • operator>=
    • operator+
    • operator-
    • operator*
    • operator/
  • Attribute Enums
    • GRB_CharAttr
    • GRB_DoubleAttr
    • GRB_IntAttr
    • GRB_StringAttr
  • Parameter Enums
    • GRB_DoubleParam
    • GRB_IntParam
    • GRB_StringParam
  
  
• Java API Overview
• Java API Details
  • GRBEnv
    • GRBEnv()
    • GRBEnv.dispose()
    • GRBEnv.get()
    • GRBEnv.getErrorMsg()
    • GRBEnv.getParamInfo()
    • GRBEnv.message()
    • GRBEnv.readParams()
    • GRBEnv.release()
    • GRBEnv.resetParams()
    • GRBEnv.set()
    • GRBEnv.start()
    • GRBEnv.writeParams()
  • GRBModel
    • GRBModel()
    • GRBModel.addConstr()
    • GRBModel.addConstrs()
    • GRBModel.addGenConstrXxx()
      • GRBModel.addGenConstrMax()
      • GRBModel.addGenConstrMin()
      • GRBModel.addGenConstrAbs()
      • GRBModel.addGenConstrAnd()
      • GRBModel.addGenConstrOr()
      • GRBModel.addGenConstrIndicator()
    • GRBModel.addQConstr()
    • GRBModel.addRange()
    • GRBModel.addRanges()
    • GRBModel.addSOS()
    • GRBModel.addVar()
    • GRBModel.addVars()
    • GRBModel.chgCoeff()
    • GRBModel.chgCoeffs()
    • GRBModel.computeIIS()
    • GRBModel.discardConcurrentEnvs()
    • GRBModel.discardMultiobjEnvs()
    • GRBModel.dispose()
    • GRBModel.feasRelax()
    • GRBModel.fixedModel()
    • GRBModel.get()
    • GRBModel.getCoeff()
    • GRBModel.getCol()
    • GRBModel.getConcurrentEnv()
    • GRBModel.getConstrByName()
    • GRBModel.getConstrs()
    • GRBModel.getEnv()
    • GRBModel.getGenConstrMax()
    • GRBModel.getGenConstrMin()
    • GRBModel.getGenConstrAbs()
    • GRBModel.getGenConstrAnd()
    • GRBModel.getGenConstrOr()
    • GRBModel.getGenConstrIndicator()
    • GRBModel.getGenConstrs()
    • GRBModel.getMultiobjEnv()
    • GRBModel.getObjective()
    • GRBModel.getPWLObj()
    • GRBModel.getQCRow()
    • GRBModel.getQConstrs()
    • GRBModel.getRow()
    • GRBModel.getSOS()
    • GRBModel.getSOSs()
    • GRBModel.getTuneResult()
    • GRBModel.getVarByName()
    • GRBModel.getVars()
    • GRBModel.optimize()
    • GRBModel.optimizeasync()
    • GRBModel.presolve()
    • GRBModel.read()
    • GRBModel.remove()
    • GRBModel.reset()
    • GRBModel.setCallback()
    • GRBModel.set()
    • GRBModel.setObjective()
    • GRBModel.setObjectiveN()
    • GRBModel.setPWLObj()
    • GRBModel.sync()
    • GRBModel.terminate()
    • GRBModel.tune()
    • GRBModel.update()
    • GRBModel.write()
  • GRBVar
    • GRBVar.get()
    • GRBVar.sameAs()
    • GRBVar.set()
  • GRBConstr
    • GRBConstr.get()
    • GRBConstr.sameAs()
    • GRBConstr.set()
  • GRBQConstr
    • GRBQConstr.get()
    • GRBQConstr.set()
  • GRBSOS
    • GRBSOS.get()
  • GRBGenConstr
    • GRBGenConstr.get()
    • GRBGenConstr.set()
  • GRBExpr
    • GRBExpr.getValue()
  • GRBLinExpr
    • GRBLinExpr()
    • GRBLinExpr.add()
    • GRBLinExpr.addConstant()
    • GRBLinExpr.addTerm()
    • GRBLinExpr.addTerms()
    • GRBLinExpr.clear()
    • GRBLinExpr.getConstant()
    • GRBLinExpr.getCoeff()
    • GRBLinExpr.getValue()
    • GRBLinExpr.getVar()
    • GRBLinExpr.multAdd()
    • GRBLinExpr.remove()
    • GRBLinExpr.size()
  • GRBQuadExpr
    • GRBQuadExpr()
    • GRBQuadExpr.add()
    • GRBQuadExpr.addConstant()
    • GRBQuadExpr.addTerm()
    • GRBQuadExpr.addTerms()
    • GRBQuadExpr.clear()
    • GRBQuadExpr.getCoeff()
    • GRBQuadExpr.getLinExpr()
    • GRBQuadExpr.getValue()
    • GRBQuadExpr.getVar1()
    • GRBQuadExpr.getVar2()
    • GRBQuadExpr.multAdd()
    • GRBQuadExpr.remove()
    • GRBQuadExpr.size()
  • GRBColumn
    • GRBColumn()
    • GRBColumn.addTerm()
    • GRBColumn.addTerms()
    • GRBColumn.clear()
    • GRBColumn.getCoeff()
    • GRBColumn.getConstr()
    • GRBColumn.remove()
    • GRBColumn.size()
  • GRBCallback
    • GRBCallback()
    • GRBCallback.abort()
    • GRBCallback.addCut()
    • GRBCallback.addLazy()
    • GRBCallback.getDoubleInfo()
    • GRBCallback.getIntInfo()
    • GRBCallback.getNodeRel()
    • GRBCallback.getSolution()
    • GRBCallback.getStringInfo()
    • GRBCallback.setSolution()
    • GRBCallback.useSolution()
  • GRBException
    • GRBException()
    • GRBException.getErrorCode()
  • GRB
    • Constants
    • GRB.CharAttr
    • GRB.DoubleAttr
    • GRB.DoubleParam
    • GRB.IntAttr
    • GRB.IntParam
    • GRB.StringAttr
    • GRB.StringParam
  
  
• .NET API Overview
• .NET API Details
  • GRBEnv
    • GRBEnv()
    • GRBEnv.Dispose()
    • GRBEnv.ErrorMsg
    • GRBEnv.Get()
    • GRBEnv.GetParamInfo()
    • GRBEnv.Message()
    • GRBEnv.ReadParams()
    • GRBEnv.Release()
    • GRBEnv.ResetParams()
    • GRBEnv.Set()
    • GRBEnv.Start()
    • GRBEnv.WriteParams()
  • GRBModel
    • GRBModel()
    • GRBModel.AddConstr()
    • GRBModel.AddConstrs()
    • GRBModel.AddGenConstrXxx()
      • GRBModel.AddGenConstrMax()
      • GRBModel.AddGenConstrMin()
      • GRBModel.AddGenConstrAbs()
      • GRBModel.AddGenConstrAnd()
      • GRBModel.AddGenConstrOr()
      • GRBModel.AddGenConstrIndicator()
    • GRBModel.AddQConstr()
    • GRBModel.AddRange()
    • GRBModel.AddRanges()
    • GRBModel.AddSOS()
    • GRBModel.AddVar()
    • GRBModel.AddVars()
    • GRBModel.ChgCoeff()
    • GRBModel.ChgCoeffs()
    • GRBModel.ComputeIIS()
    • GRBModel.DiscardConcurrentEnvs()
    • GRBModel.DiscardMultiobjEnvs()
    • GRBModel.Dispose()
    • GRBModel.FeasRelax()
    • GRBModel.FixedModel()
    • GRBModel.Get()
    • GRBModel.GetCoeff()
    • GRBModel.GetCol()
    • GRBModel.GetConcurrentEnv()
    • GRBModel.GetConstrByName()
    • GRBModel.GetConstrs()
    • GRBModel.GetEnv()
    • GRBModel.GetGenConstrMax()
    • GRBModel.GetGenConstrMin()
    • GRBModel.GetGenConstrAbs()
    • GRBModel.GetGenConstrAnd()
    • GRBModel.GetGenConstrOr()
    • GRBModel.GetGenConstrIndicator()
    • GRBModel.GetGenConstrs()
    • GRBModel.GetMultiobjEnv()
    • GRBModel.GetObjective()
    • GRBModel.GetPWLObj()
    • GRBModel.GetQConstr()
    • GRBModel.GetQConstrs()
    • GRBModel.GetQCRow()
    • GRBModel.GetRow()
    • GRBModel.GetSOS()
    • GRBModel.GetSOSs()
    • GRBModel.GetTuneResult()
    • GRBModel.GetVarByName()
    • GRBModel.GetVars()
    • GRBModel.Optimize()
    • GRBModel::OptimizeAsync()
    • GRBModel.Presolve()
    • GRBModel.Read()
    • GRBModel.Remove()
    • GRBModel.Reset()
    • GRBModel.SetCallback()
    • GRBModel.Set()
    • GRBModel.SetObjective()
    • GRBModel.SetObjectiveN()
    • GRBModel.SetPWLObj()
    • GRBModel.Terminate()
    • GRBModel.Tune()
    • GRBModel.Update()
    • GRBModel.Write()
  • GRBVar
    • GRBVar.Get()
    • GRBVar.SameAs()
    • GRBVar.Set()
  • GRBConstr
    • GRBConstr.Get()
    • GRBConstr.SameAs()
    • GRBConstr.Set()
  • GRBQConstr
    • GRBQConstr.Get()
    • GRBQConstr.Set()
  • GRBSOS
    • GRBSOS.Get()
  • GRBGenConstr
    • GRBGenConstr.Get()
    • GRBGenConstr.Set()
  • GRBExpr
    • GRBExpr.Value
  • GRBLinExpr
    • GRBLinExpr()
    • GRBLinExpr.Add()
    • GRBLinExpr.AddConstant()
    • GRBLinExpr.AddTerm()
    • GRBLinExpr.AddTerms()
    • GRBLinExpr.Clear()
    • GRBLinExpr.Constant
    • GRBLinExpr.GetCoeff()
    • GRBLinExpr.GetVar()
    • GRBLinExpr.MultAdd()
    • GRBLinExpr.Remove()
    • GRBLinExpr.Size
    • GRBLinExpr.Value
  • GRBQuadExpr
    • GRBQuadExpr()
    • GRBQuadExpr.Add()
    • GRBQuadExpr.AddConstant()
    • GRBQuadExpr.AddTerm()
    • GRBQuadExpr.AddTerms()
    • GRBQuadExpr.Clear()
    • GRBQuadExpr.GetCoeff()
    • GRBQuadExpr.GetVar1()
    • GRBQuadExpr.GetVar2()
    • GRBQuadExpr.LinExpr()
    • GRBQuadExpr.MultAdd()
    • GRBQuadExpr.Remove()
    • GRBQuadExpr.Size
    • GRBQuadExpr.Value
  • GRBTempConstr
  • GRBColumn
    • GRBColumn()
    • GRBColumn.AddTerm()
    • GRBColumn.AddTerms()
    • GRBColumn.Clear()
    • GRBColumn.GetCoeff()
    • GRBColumn.GetConstr()
    • GRBColumn.Remove()
    • GRBColumn.Size
  • Overloaded Operators
    • operator <=
    • operator >=
    • operator ==
    • operator +
    • operator -
    • operator *
    • operator /
    • implicit cast
  • GRBCallback
    • GRBCallback()
    • GRBCallback.Abort()
    • GRBCallback.AddCut()
    • GRBCallback.AddLazy()
    • GRBCallback.GetDoubleInfo()
    • GRBCallback.GetIntInfo()
    • GRBCallback.GetNodeRel()
    • GRBCallback.GetSolution()
    • GRBCallback.GetStringInfo()
    • GRBCallback.SetSolution()
    • GRBCallback.UseSolution()
  • GRBException
    • GRBException()
    • GRBException.ErrorCode
  • GRB
    • Constants
    • GRB.CharAttr
    • GRB.DoubleAttr
    • GRB.DoubleParam
    • GRB.IntAttr
    • GRB.IntParam
    • GRB.StringAttr
    • GRB.StringParam
  
  
• Python API Overview
• Python API Details
  • Global Functions
    • models()
    • disposeDefaultEnv()
    • multidict()
    • paramHelp()
    • quicksum()
    • read()
    • readParams()
    • resetParams()
    • setParam()
    • system()
    • writeParams()
  • Model
    • Model()
    • Model.addConstr()
    • Model.addConstrs()
    • Model.addGenConstrXxx()
    • Model.addGenConstrMax()
    • Model.addGenConstrMin()
    • Model.addGenConstrAbs()
    • Model.addGenConstrAnd()
    • Model.addGenConstrOr()
    • Model.addGenConstrIndicator()
    • Model.addLConstr()
    • Model.addQConstr()
    • Model.addRange()
    • Model.addSOS()
    • Model.addVar()
    • Model.addVars()
    • Model.cbCut()
    • Model.cbGet()
    • Model.cbGetNodeRel()
    • Model.cbGetSolution()
    • Model.cbLazy()
    • Model.cbSetSolution()
    • Model.cbUseSolution()
    • Model.chgCoeff()
    • Model.computeIIS()
    • Model.copy()
    • Model.discardConcurrentEnvs()
    • Model.discardMultiobjEnvs()
    • Model.feasRelaxS()
    • Model.feasRelax()
    • Model.fixed()
    • Model.getAttr()
    • Model.getCoeff()
    • Model.getCol()
    • Model.getConcurrentEnv()
    • Model.getConstrByName()
    • Model.getConstrs()
    • Model.getGenConstrMax()
    • Model.getGenConstrMin()
    • Model.getGenConstrAbs()
    • Model.getGenConstrAnd()
    • Model.getGenConstrOr()
    • Model.getGenConstrIndicator()
    • Model.getGenConstrs()
    • Model.getMultiobjEnv()
    • Model.getObjective()
    • Model.getParamInfo()
    • Model.getPWLObj()
    • Model.getQConstrs()
    • Model.getQCRow()
    • Model.getRow()
    • Model.getSOS()
    • Model.getSOSs()
    • Model.getTuneResult()
    • Model.getVarByName()
    • Model.getVars()
    • Model.message()
    • Model.optimize()
    • Model.presolve()
    • Model.printAttr()
    • Model.printQuality()
    • Model.printStats()
    • Model.read()
    • Model.relax()
    • Model.remove()
    • Model.reset()
    • Model.resetParams()
    • Model.setAttr()
    • Model.setObjective()
    • Model.setObjectiveN()
    • Model.setPWLObj()
    • Model.setParam()
    • Model.terminate()
    • Model.tune()
    • Model.update()
    • Model.write()
  • Var
    • Var.getAttr()
    • Var.sameAs()
    • Var.setAttr()
  • Constr
    • Constr.getAttr()
    • Constr.sameAs()
    • Constr.setAttr()
  • QConstr
    • QConstr.getAttr()
    • QConstr.setAttr()
  • SOS
    • SOS.getAttr()
  • GenConstr
    • GenConstr.getAttr()
    • GenConstr.setAttr()
  • LinExpr
    • LinExpr()
    • LinExpr.add()
    • LinExpr.addConstant()
    • LinExpr.addTerms()
    • LinExpr.clear()
    • LinExpr.copy()
    • LinExpr.getConstant()
    • LinExpr.getCoeff()
    • LinExpr.getValue()
    • LinExpr.getVar()
    • LinExpr.remove()
    • LinExpr.size()
    • LinExpr.__eq__()
    • LinExpr.__le__()
    • LinExpr.__ge__()
  • QuadExpr
    • QuadExpr()
    • QuadExpr.add()
    • QuadExpr.addConstant()
    • QuadExpr.addTerms()
    • QuadExpr.clear()
    • QuadExpr.copy()
    • QuadExpr.getCoeff()
    • QuadExpr.getLinExpr()
    • QuadExpr.getValue()
    • QuadExpr.getVar1()
    • QuadExpr.getVar2()
    • QuadExpr.remove()
    • QuadExpr.size()
    • QuadExpr.__eq__()
    • QuadExpr.__le__()
    • QuadExpr.__ge__()
  • GenExpr
  • TempConstr
  • Column
    • Column()
    • Column.addTerms()
    • Column.clear()
    • Column.copy()
    • Column.getCoeff()
    • Column.getConstr()
    • Column.remove()
    • Column.size()
  • Callbacks
  • GurobiError
  • Env
    • Env()
    • Env.ClientEnv()
    • Env.CloudEnv()
    • Env.resetParams()
    • Env.setParam()
    • Env.start()
    • Env.writeParams()
  • GRB
    • Constants
    • GRB.Attr
    • GRB.Param
  • tuplelist
    • tuplelist()
    • tuplelist.select()
    • tuplelist.clean()
    • tuplelist.__contains__()
  • tupledict
    • tupledict()
    • tupledict.select()
    • tupledict.sum()
    • tupledict.prod()
    • tupledict.clean()
  • General Constraint Helper Functions
    • abs_()
    • and_()
    • max_()
    • min_()
    • or_()
  
  
• MATLAB API Overview
• MATLAB API Details
  • Common Arguments
    • The model argument
    • The params argument
    • The env argument
  • Solving a Model
    • gurobi()
    • gurobi_iis()
    • gurobi_feasrelax()
    • gurobi_relax()
  • Input/Output
    • gurobi_read()
    • gurobi_write()
  • Using Gurobi within MATLAB's Problem-Based Optimization
  • Setting up the Gurobi MATLAB interface
  
  
• R API Overview
• R API Details
  • Common Arguments
    • The model argument
    • The params argument
    • The env argument
  • Solving a Model
    • gurobi()
    • gurobi_iis()
    • gurobi_feasrelax()
    • gurobi_relax()
  • Input/Output
    • gurobi_read()
    • gurobi_write()
  • Installing the R package
  
  
• Variables and Constraints
  • Variables
  • Constraints
  • Tolerances and Ill Conditioning - A Caveat
  
  
• Attributes
  • Model Attributes
    • NumConstrs
    • NumVars
    • NumSOS
    • NumQConstrs
    • NumGenConstrs
    • NumNZs
    • DNumNZs
    • NumQNZs
    • NumQCNZs
    • NumIntVars
    • NumBinVars
    • NumPWLObjVars
    • ModelName
    • ModelSense
    • ObjCon
    • ObjVal
    • ObjBound
    • ObjBoundC
    • PoolObjBound
    • PoolObjVal
    • MIPGap
    • Runtime
    • Status
    • SolCount
    • IterCount
    • BarIterCount
    • NodeCount
    • IsMIP
    • IsQP
    • IsQCP
    • IsMultiObj
    • IISMinimal
    • MaxCoeff
    • MinCoeff
    • MaxBound
    • MinBound
    • MaxObjCoeff
    • MinObjCoeff
    • MaxRHS
    • MinRHS
    • MaxQCCoeff
    • MinQCCoeff
    • MaxQCLCoeff
    • MinQCLCoeff
    • MaxQCRHS
    • MinQCRHS
    • MaxQObjCoeff
    • MinQObjCoeff
    • Kappa
    • KappaExact
    • FarkasProof
    • TuneResultCount
    • NumStart
    • LicenseExpiration
    • JobID
    • Server
  • Variable Attributes
    • LB
    • UB
    • Obj
    • VType
    • VarName
    • X
    • Xn
    • RC
    • BarX
    • Start
    • VarHintVal
    • VarHintPri
    • BranchPriority
    • Partition
    • VBasis
    • PStart
    • IISLB
    • IISUB
    • PWLObjCvx
    • SAObjLow
    • SAObjUp
    • SALBLow
    • SALBUp
    • SAUBLow
    • SAUBUp
    • UnbdRay
  • Linear Constraint Attributes
    • Sense
    • RHS
    • ConstrName
    • Pi
    • Slack
    • CBasis
    • DStart
    • Lazy
    • IISConstr
    • SARHSLow
    • SARHSUp
    • FarkasDual
  • SOS Attributes
    • IISSOS
  • Quadratic Constraint Attributes
    • QCSense
    • QCRHS
    • QCName
    • QCPi
    • QCSlack
    • IISQConstr
  • General Constraint Attributes
    • GenConstrType
    • GenConstrName
    • IISGenConstr
  • Quality Attributes
    • BoundVio
    • BoundSVio
    • BoundVioIndex
    • BoundSVioIndex
    • BoundVioSum
    • BoundSVioSum
    • ConstrVio
    • ConstrSVio
    • ConstrVioIndex
    • ConstrSVioIndex
    • ConstrVioSum
    • ConstrSVioSum
    • ConstrResidual
    • ConstrSResidual
    • ConstrResidualIndex
    • ConstrSResidualIndex
    • ConstrResidualSum
    • ConstrSResidualSum
    • DualVio
    • DualSVio
    • DualVioIndex
    • DualSVioIndex
    • DualVioSum
    • DualSVioSum
    • DualResidual
    • DualSResidual
    • DualResidualIndex
    • DualSResidualIndex
    • DualResidualSum
    • DualSResidualSum
    • ComplVio
    • ComplVioIndex
    • ComplVioSum
    • IntVio
    • IntVioIndex
    • IntVioSum
  • Multi-objective Attributes
    • ObjN
    • ObjNCon
    • ObjNPriority
    • ObjNWeight
    • ObjNRelTol
    • ObjNAbsTol
    • ObjNVal
    • ObjNName
    • NumObj
  • Attribute Examples
    • C Attribute Examples
    • C++ Attribute Examples
    • C# Attribute Examples
    • Java Attribute Examples
    • Python Attribute Examples
    • Visual Basic Attribute Examples
  
  
• Parameters
  • Parameter Guidelines
    • Continuous Models
    • MIP Models
  • Parameter Descriptions
    • AggFill
    • Aggregate
    • BarConvTol
    • BarCorrectors
    • BarHomogeneous
    • BarOrder
    • BarQCPConvTol
    • BarIterLimit
    • BestBdStop
    • BestObjStop
    • BranchDir
    • DegenMoves
    • CliqueCuts
    • CloudAccessID
    • CloudSecretKey
    • CloudPool
    • ComputeServer
    • ConcurrentJobs
    • ConcurrentMIP
    • ConcurrentSettings
    • CoverCuts
    • Crossover
    • CrossoverBasis
    • CSIdleTimeout
    • CSPriority
    • CSRouter
    • CSTLSInsecure
    • Cutoff
    • CutAggPasses
    • CutPasses
    • Cuts
    • Disconnected
    • DisplayInterval
    • DistributedMIPJobs
    • DualReductions
    • FeasibilityTol
    • FeasRelaxBigM
    • FlowCoverCuts
    • FlowPathCuts
    • GomoryPasses
    • GUBCoverCuts
    • Heuristics
    • IISMethod
    • ImpliedCuts
    • ImproveStartGap
    • ImproveStartNodes
    • ImproveStartTime
    • InfProofCuts
    • InfUnbdInfo
    • InputFile
    • IntFeasTol
    • IterationLimit
    • LazyConstraints
    • LogFile
    • LogToConsole
    • MarkowitzTol
    • Method
    • MinRelNodes
    • MIPFocus
    • MIPGap
    • MIPGapAbs
    • MIPSepCuts
    • MIQCPMethod
    • MIRCuts
    • ModKCuts
    • MultiObjMethod
    • MultiObjPre
    • NetworkCuts
    • NodefileDir
    • NodefileStart
    • NodeLimit
    • NodeMethod
    • IgnoreNames
    • NormAdjust
    • NumericFocus
    • ObjScale
    • OptimalityTol
    • ObjNumber
    • OutputFlag
    • PartitionPlace
    • PerturbValue
    • PoolGap
    • PoolSearchMode
    • PoolSolutions
    • PreCrush
    • PreDepRow
    • PreDual
    • PreMIQCPForm
    • PrePasses
    • PreQLinearize
    • Presolve
    • PreSOS1BigM
    • PreSOS2BigM
    • PreSparsify
    • ProjImpliedCuts
    • PSDTol
    • PumpPasses
    • QCPDual
    • Quad
    • Record
    • ResultFile
    • RINS
    • ScaleFlag
    • Seed
    • ServerPassword
    • ServerTimeout
    • Sifting
    • SiftMethod
    • SimplexPricing
    • SolutionLimit
    • SolutionNumber
    • StartNodeLimit
    • StartNumber
    • StrongCGCuts
    • SubMIPCuts
    • SubMIPNodes
    • Symmetry
    • Threads
    • TimeLimit
    • TokenServer
    • TSPort
    • TuneCriterion
    • TuneJobs
    • TuneOutput
    • TuneResults
    • TuneTimeLimit
    • TuneTrials
    • UpdateMode
    • VarBranch
    • WorkerPassword
    • WorkerPool
    • ZeroHalfCuts
    • ZeroObjNodes
  • Parameter Examples
    • C Parameter Examples
    • C++ Parameter Examples
    • C# Parameter Examples
    • Java Parameter Examples
    • MATLAB Parameter Examples
    • Python Parameter Examples
    • R Parameter Examples
    • Visual Basic Parameter Examples
  • Empty Environment
  
  
• Optimization Status Codes
• Callback Codes
• Error Codes
• Model File Formats
  • MPS format
  • REW format
  • LP format
  • RLP format
  • ILP format
  • OPB format
  • MST format
  • HNT format
  • ORD format
  • BAS format
  • SOL format
  • PRM format
  
  
• Logging
  • Simplex Logging
  • Barrier Logging
  • Sifting Logging
  • MIP Logging
  • Multi-Objective Logging
  • Distributed MIP Logging
  
  
• Gurobi Command-Line Tool
  • Solving a Model
  • Replaying Recording Files
  
  
• Solution Pool
  • Finding Multiple Solutions
  • Examples
  • Retrieving Solutions
  • Subtleties and Limitations
  
  
• Multiple Objectives
  • Specifying Multiple Objectives
  • Working With Multiple Objective
  • Additional Details
  
  
• Recording API Calls
  • Recording
  • Replay
  • Limitations
  
  
• Concurrent Optimizer
• Parameter Tuning Tool
  • Command-Line Tuning
  • Tuning API
  
  
• Gurobi Instant Cloud
  • Client Setup
  • Instant Cloud Setup
  • Copyright Notice for 3rd Party Libraries
  
  
• Gurobi Guidelines for Numerical Issues
  • Avoid rounding of input
  • Real numbers are not real
  • Tolerances and user-scaling
    • Gurobi tolerances and the limitations of double-precision arithmetic
    • Why scaling and geometry is relevant
    • Recommended ranges for variables and constraints
    • Improving ranges for variables and constraints
    • Advanced user scaling
    • Avoid hiding large coefficients
    • Dealing with big-M constraints
  • Does my model have numerical issues?
  • Solver parameters to manage numerical issues
    • Presolve
    • Choosing the right algorithm
    • Making the algorithm less sensitive
  • Instability and the geometry of optimization problems
    • The case of linear systems:
    • The geometry of linear optimization problems
    • Multiple optimal solutions
    • Dealing with epsilon-optimal solutions
    • Thin feasible regions
    • Optimizing over the circle:
    • Optimizing over thin regions:
    • Stability and convergence
  • Further reading
  • Source code examples:
    • Source code for the experiment of optimizing over a circle
    • Source code for the experiment on a thin feasible region
    • Source code for the experiment with column scalings