Dual Model

boundary_constraints_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, BC_Dual<:Union{Nothing, AbstractVector{<:Real}}}
) -> Union{Nothing, AbstractVector{<:Real}}

Return the dual vector associated with the boundary constraints.

Arguments

• model::DualModel: A model including dual variables for boundary constraints.

Returns

A vector of dual values, or nothing if not set.

control_constraints_lb_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, CC_LB_Dual<:Union{Nothing, Function}}
) -> Union{Nothing, Function}

Return the dual function associated with the lower bounds of control constraints.

Arguments

• model::DualModel: A model including dual variables for control lower bounds.

Returns

A function mapping time t to a vector of dual values, or nothing if not set.

control_constraints_ub_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, CC_UB_Dual<:Union{Nothing, Function}}
) -> Union{Nothing, Function}

Return the dual function associated with the upper bounds of control constraints.

Arguments

• model::DualModel: A model including dual variables for control upper bounds.

Returns

A function mapping time t to a vector of dual values, or nothing if not set.

dual(
    sol::CTModels.Solution,
    model::CTModels.Model,
    label::Symbol
) -> Any

Return the dual variable associated with a constraint identified by its label.

Searches through all constraint types (path, boundary, state, control, and variable constraints) defined in the model and returns the corresponding dual value from the solution.

Arguments

• sol::Solution: Solution object containing dual variables.
• model::Model: Model containing constraint definitions.
• label::Symbol: Symbol corresponding to a constraint label.

Returns

A function of time t for time-dependent constraints, or a scalar/vector for time-invariant duals. If the label is not found, throws an IncorrectArgument exception.

path_constraints_dual(
    model::CTModels.DualModel{PC_Dual<:Union{Nothing, Function}}
) -> Union{Nothing, Function}

Return the dual function associated with the nonlinear path constraints.

Arguments

• model::DualModel: A model including dual variables for path constraints.

Returns

A function mapping time t to the vector of dual values, or nothing if not set.

state_constraints_lb_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, SC_LB_Dual<:Union{Nothing, Function}}
) -> Union{Nothing, Function}

Return the dual function associated with the lower bounds of state constraints.

Arguments

• model::DualModel: A model including dual variables for state lower bounds.

Returns

A function mapping time t to a vector of dual values, or nothing if not set.

state_constraints_ub_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, <:Union{Nothing, Function}, SC_UB_Dual<:Union{Nothing, Function}}
) -> Union{Nothing, Function}

Return the dual function associated with the upper bounds of state constraints.

Arguments

• model::DualModel: A model including dual variables for state upper bounds.

Returns

A function mapping time t to a vector of dual values, or nothing if not set.

variable_constraints_lb_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, VC_LB_Dual<:Union{Nothing, AbstractVector{<:Real}}}
) -> Union{Nothing, AbstractVector{<:Real}}

Return the dual vector associated with the lower bounds of variable constraints.

Arguments

• model::DualModel: A model including dual variables for variable lower bounds.

Returns

A vector of dual values, or nothing if not set.

variable_constraints_ub_dual(
    model::CTModels.DualModel{<:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, Function}, <:Union{Nothing, AbstractVector{<:Real}}, VC_UB_Dual<:Union{Nothing, AbstractVector{<:Real}}}
) -> Union{Nothing, AbstractVector{<:Real}}

Return the dual vector associated with the upper bounds of variable constraints.

Arguments

• model::DualModel: A model including dual variables for variable upper bounds.

Returns

A vector of dual values, or nothing if not set.