Hi Marcus, 
Thank you very much for your explanation. It was great help. 
For this project,  I think we can use penalty method or some improved algorithm 
based on this. The essence of this method lies in replacing a constrained 
problem by a series of unconstrained problems. By this means, we may come up 
with a working optimizer which supports both.
Please let me know what you think.
Thank you for your time and consideration.
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