Description: Non-linear programming techniques are methods and approaches used to solve optimization problems where the objective function or constraints are non-linear. Unlike linear programming, which is based on linear relationships between variables, non-linear programming allows for greater complexity in modeling real-world problems, where interactions between variables can be more complicated. These techniques are fundamental in various disciplines, such as engineering, economics, and operations research, as they enable the finding of optimal solutions in situations where relationships are not simply proportional. The main characteristics of non-linear programming include the ability to handle multiple variables and constraints, as well as the capacity to address problems with multiple local optima. This requires the use of advanced algorithms and heuristics to effectively explore the solution space. The relevance of these techniques lies in their application to real-world problems, where decisions must be made in complex and dynamic contexts, making them essential tools for informed and efficient decision-making.
