Optimization of 4 cost functions altogether with specified constraints
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How can I optimize 4 simple cost functions altogether with specified constraints on each of them using MATLAB and optimization toolbox?
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Jan
2013-6-21
编辑:Jan
2013-6-21
You cannot optimize for 4 different criteria at the same time. An optimization requires a scalar cost function, and this is related to the nature of the term "optimimum".
If you want to consider 4 parameters, you still need a norm to create a scalar: E.g. a weighted or unweighted sum(), max() or mean(). Using max() is not smooth anymore and the optimization method need to consider this explicitly.
Example:
Find the price of an article, which maximizes the income of the sellers and minimizes the costs for the buyers simultaneously.
This must fail for obvious reasons.
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