Project management and analysis of investment plans in public works: optimization processes choices to maximize resource allocation results

In applied sciences, such as economics, engineering, mobility and lo-gistics problems, management, etc., Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and linear inequality and to the constraint that one or more variables has integer values. This mathematical approach is essential to address and solve a very large number of real problems, typical of the applied sciences, when there is an indivisibility of the good to be produced or of the resource to be used and thus the consequent need to represent the problem through models of Linear Programming with integer variables. The applications of the method concern many applications of modern society and extend from industrial analysis for the distribution of goods and the sequenc-ing of productive activities, to economic problems aimed at the optimal management of a securities portfolio, to those of planning and optimal planning of public investments, to the problems inherent in biology, high