Introducing numerical optimization techniques

In real life, optimizing means choosing the best option among several available alternatives. Each of us optimizes an itinerary to reach a destination, organize our day, determine how we use savings, and so on. In mathematics, optimizing means determining the value of the variables of a function so that it assumes its minimum or maximum. Optimization is a discipline that deals with the formulation of useful models in applications, thereby using efficient methods to identify an optimal solution.

Optimization models have great practical interest for the many applications offered. In fact, there are numerous decision-making processes that require you to determine a choice that minimizes the cost or maximizes the gain and is, therefore, attributable to optimization models. In optimization theory, a relevant position is occupied by mathematical optimization models, for which the evaluation function and the constraints that characterize the...