Determination of Feasible set of Solutions for Mixed Integer Nonlinear Optimization Problem

Mixed Integer Nonlinear Problems (referred as MINLP) is a nonlinear optimization problem, where two types of variables are present, namely integer variables and continuous ones. The presence of integer variables extends fundamentally the areas of MINLP applications. There is a linear goal function subject to linear and nonlinear constraints (quadratic forms). Two dimensional case of integer variables as well as continuous ones is analyzed. Main subject of interest is construction of feasible set of variables. Some numerical results will be given, where water distribution network will be interesting application area.