*4.2. Constraints*

Because the SRM dimensions are significant, there must be certain constraints on them to prevent any non-logical vector of variables. The dimensions in variables matrix (*X*) must be modified to satisfy the following constraints:

$$2D\_{sh} + 2b\_{ry} + 2h\_r + 2\mathbf{g} = D \tag{18}$$

$$D + 2b\_{sy} + 2h\_s = D\_o \tag{19}$$

$$
\beta\_1 > \beta\_s \tag{20}
$$

$$\frac{D}{2}(1-\frac{\beta\_r P\_r}{2\pi}) \ge h\_r \tag{21}$$

It is also a part of the constraints to specify certain limits to each variable(dimension). If a certain dimension needed to be fixed, this can simply achieved by setting both the minimum and maximum limits to the desired value.
