// DECISION VARIABLES
RContinuousDecisionVariable |ObjectName: x1 |CurrentValue: 0
RContinuousDecisionVariable |ObjectName: x2 |CurrentValue: 0


// CONSTANTS
RConstant |ObjectName: k1 |CurrentValue: 100.0
RConstant |ObjectName: k2 |CurrentValue: 90.0
RConstant |ObjectName: Fx1 |CurrentValue: 20.0
RConstant |ObjectName: Fx2 |CurrentValue: 40.0


// EXPRESSIONS
RAlgebraicExpressionModel |ObjectName: potentialEnergy |Expression: k1 * ( sqrt( x1^2 + (x2+1)^2 ) - 1 )^2 + k2 * ( sqrt( x1^2 + (x2-1)^2 ) - 1 )^2 - ( Fx1 * x1 + Fx2 * x2 )


// OPTIMIZATION MODEL
ROptimizationModel |ObjectName: myOptModel |OutputLevel: Maximum |Objective: potentialEnergyResponse |OptimizationAlgorithm: theOptimizationAlgorithm


// OPTIMIZATION ALGORITHM
//RDirectionalLineSearchOptimizationAlgorithm |ObjectName: theOptimizationAlgorithm |OutputLevel: Maximum  |MaxSteps: 50 |SearchDirection: theSearchDirection |LineSearchAlgorithm: theLineSearchAlgorithm |MeritFunction: theMeritFunction |ConvergenceCheck: theConvergenceCheck

RDownhillSimplexOptimizationAlgorithm |ObjectName: theOptimizationAlgorithm |OutputLevel: Maximum |Alpha: 1 |Gamma: 2 |Rho: -0.5 |Sigma: -0.5 |MaxSteps: 50 |Tolerance: 0.001 |Delay: 1.0


// SEARCH DIRECTION
//RSteepestDescentSearchDirection |ObjectName: theSearchDirection |OutputLevel: Maximum
//RConjugateGradientSearchDirection |ObjectName: theSearchDirection |OutputLevel: Maximum
RQuasiNewtonSearchDirection |ObjectName: theSearchDirection |OutputLevel: Maximum |Type: Broyden


// STEP SIZE
//RPlottingLineSearchAlgorithm      |ObjectName: theLineSearchAlgorithm |From: 0 |To: 0.01
//RFixedLineSearchAlgorithm      |ObjectName: theLineSearchAlgorithm |FixedResult: 0.001
RGoldenSectionLineSearchAlgorithm |ObjectName: theLineSearchAlgorithm |OutputLevel: Medium |LowerBound: 0 |UpperBound: 10 |MaxIterations: 100 |Tolerance: 0.0001


// MERIT FUNCTION
RObjectiveMeritFunction              |ObjectName: theMeritFunction      


// CONVERGENCE CHECK
RGradientNormConvergenceCheck |ObjectName: theConvergenceCheck |OutputLevel: Minimum |Tolerance: 0.05