How to solve non-linear integer problems (MINLP/INLP)

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Lorenzo Tunesi
Lorenzo Tunesi 2020-10-17
评论： Lorenzo Tunesi 2020-10-18
Hello everyone,
I'm trying to solve a problem related to a switching network structure in the form of a Benes network.
I've managed to obtain the integer logical funcions describing the output of the circuit as a function of the switching states of the network (described as integer binary values)
My problem is as follows:
I want to minimize the number of active switches in the network, while maintaining a given output. The optimization function is simply the sum of all the control signals of the switches , but the problem is that the constraints of the problem (the outputs of the network) are described by non-linear integer equations.
Using the Optimization Toolbox it seems this is not feasable, given the non linearity of the constraints.
Is there any function or add-on tasked with this kind of optimization and anlysis?
I'm quite new to this type of Matlab functions, so any kind of suggestions can be helpful.
Thank you for the help.

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采纳的回答

Matt J
Matt J 2020-10-17
You will have to use ga() in the Global Optimization Toolbox.
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Lorenzo Tunesi
Lorenzo Tunesi 2020-10-18
Thank you very much. I read the documentation, and even though there are additional constraints not supported in the direct implementation of ga(), I discovered a workaround.

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