How to combine two algorithms in one by using optimization results as input for second optimization

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I have Parameter estimation algorithm . This parameters are either constant or variables.
The case when these parameters are constant (under certain conditions) , it is possible to do the parameter estimation and took the results as inputs for Second optimization.
But actually these parameters generally are variables (under certain conditions)
So when I optimise First optimization , the condition my changed and passe new information
I think I now i want to modify the workflow so that:
  • I optimise for "first optimization"
  • Grab selected outputs from the optimisation of "first optimization"
  • These outputs become initial condition or inputs for "Second optimization"
  • Optimise "Second optimization".
but that feels like a cumbersome solution that might be quite slow. Is anyone able to point me towards an example or guidance on how I might tackle this in a more efficient way?
Especially if we know that this is an online optimization and require a strong algorithm such as GA, ANN or metaheuristics..

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