Blurb::
Cost estimates associated with a set of solution control values.
Description::
Simulation-based models may have an associated ``solution_level_control``,
which identifies a hierarchy of solution states, such as a set of mesh
discretizations from coarse to fine, a set of solver tolerances from
loose to tight, etc.  The string specified as the ``solution_level_control``
identifies a discrete variable label that parameterizes the hierarchy
of solution states.

*Note:* If the discrete variable identified is a discrete set variable,
then it is important to note that the variable's set values will be ordered
(lexicographically in the case of string variables), and the ordering
of values provided in ``solution_level_cost`` should correspond to this
set ordering.  A common error is to provide a listing of
set values that is out of order and then providing a set of costs
corresponding to this misordered list -- in this case, the solution level
costs will be associated with the re-ordered set values.
Topics::

Examples::
In this example, integer solution control values and solution costs are
naturally well ordered.

.. code-block::

    model,
     simulation
       solution_level_control = 'mesh_size'
       solution_level_cost = 1. 8. 64. 512. 4096.
    
    variables,
     uniform_uncertain = 9
       lower_bounds      =  9*-1.
       upper_bounds      =  9* 1.
     discrete_state_set
       integer = 1
             set_values = 4 8 16 32 64
             descriptors = 'mesh_size'


In this example, string solution control values are lexicographically
ordered, and care must be taken to align the solution cost estimates.

.. code-block::

    model,
     simulation
       solution_level_control = 'mesh_size'
       solution_level_cost = 1. 64. 8. # match set ordering
    
    variables,
     uniform_uncertain = 9
       lower_bounds      =  9*-1.
       upper_bounds      =  9* 1.
     discrete_state_set
       string = 1
             set_values = 'COARSE' 'FINE' 'MEDIUM' # lexicographical ordering
             descriptors = 'mesh_size'


Theory::

Faq::

See_Also::
