Blurb::
Specify the situations where numerical optimization is used for MFMC sample allocation
Description::
Multifidelity Monte Carlo (MFMC) supports an analytic solution for the
allocation of samples per model instance based on response correlations and
relative simulation cost.  In some situations (over-estimated pilot sample,
mis-ordered model correlations), this analytic solution may be either
sub-optimal or undefined, requiring mitigation.

This specification allows for control of this mitigation; in particular,
whether recourse to a numerical solution is strictly a fallback (default)
or is desired as an unconditional override (regardless of the need for
specific mitigations).

Further, when a numerical solve is employed, it can utilize either the
``sqp`` or ``nip`` solver options.

*Default Behavior*
Analytic is preferred, with ``fallback`` to numerical only when mitigation
is required.
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