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Long setup times for dymos model #892

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@caksland

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@caksland

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This is a follow up to the stack exchange post here: https://stackoverflow.com/questions/75129083/can-i-add-or-remove-design-variables-from-a-problem-after-setup-call

The model (repo here) has an extremely long setup time that is strongly dependent on the number of nodes in the Dymos problem. The readme and stack exchange fully describes the issue. The contents of the readme is posted below. Any recommendations to address this issue would be appreciated. Thanks!

README Contents:
This model is used to design a flow system. Currently, the code doesn't
optimize any control or parameters values. It only converges the
ODE dynamics. Run: OptLQRModel.py.

The setup times are really long and strongly dependent on the number of nodes
in the phase nn. eg. when nn=5, the setup time is about ~7s. when nn=20, the
setup time inceasese to ~150s.
The majority of the setup time happens when
transcription.configure_timeseries_outputs(self) is called in phase.py
configure(self) function (149 of the 150s when nn=20)

Package versions:
dymos 1.2.0
openmdao 3.16.0

NOTE 1. there is a manual bug fix that is required for the code to run.
in trajectory.py, the add_parameter() function definition needs to
specify None units as default:
e.g.
def add_parameter(self, name, units=None, val=_unspecified, desc=_unspecified, opt=False,

NOTE 2. I've also run the code in the latest version of dymos and openmdao
dymos 1.6.1
openmdao 3.23.0
and the setup time is still slow. However, the optimization does not complete.

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