How can write a max expression in constraint using problem based optimization?

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S AsZ
S AsZ 2024-1-1
编辑： Torsten 2024-1-1
hi everyone. I want to write the following constraint in matlab using problem based optimization. But this error is appeared: Error using max Invalid data type. First argument must be numeric or logical. My constraint is: cons1 = x == max(a,b); a and b are decision variables.
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Torsten
Torsten 2024-1-1
编辑：Torsten 2024-1-1
Usually, max(a,b) can be implemented by introducing a new variable p with constraints a <= p, b <= p.
This means a scalar p with c_ik <= p with a new variable p.
This means a matrix pIK with pIK(I-1,K-1) >= c_ik(I-1,K), pIK(I-1,K-1) >= c_ik(I,K-1) (I=2,...,i, K = 2,...k) with a new array pIK.

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