Table 2.

Basic modelling shapes utilized in the optimizer along with the variables and constraints considered.

Domain	Model constraints	No. of variables	No. of constraints
Square	Problem (10)	2N + 1	4N + 1
Rectangle	Problem (11)	2N + 2	4N + 1
Triangle	Problem (12)	2N + 1	3N + 1
Ellipse	Problem (15)	2N + 1	N + 2
Circle	Problem (13)	2N + 1	N + 2