Solvin Unit Commitment Problem with Matlab and the Cplexmilp Function
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Hello,
I am trying to solve a Unit commitment problem with Matlab and the cplexmilp function. The objective consists in minimizing the total cost over a certain horizon. The cost is determined with equation (1) from the document. Using Matlab, this problem has to be solved with a matrix and not with the sum function. A row of the Matrix represents one specific time step (correct me if I am wrong).
Further boundaries are expressed with a separate matrix. The question I have is how to implement formulations, where information of the prior time steps are required i.e. (equation (1)).
Does it matter if I use an explicit or implicit Euler approach to discretize a first order derivative of a continuous variable when it comes down to solve MILP problems?
Thanks a lot for your support.
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