Description: The two-phase method is an algorithm used to solve linear programming problems, characterized by dividing the optimization process into two distinct stages. In the first phase, the goal is to find an initial basic feasible solution, which is essential for starting the optimization process. This is achieved by introducing artificial variables that allow transforming the problem into one that can be solved using standard methods, such as the simplex method. Once a basic feasible solution has been found, the second phase focuses on optimizing the original objective function, using the solution obtained in the first phase as a starting point. This approach is particularly useful in problems where an initial feasible solution cannot be easily identified. The two-phase method is valued for its ability to handle complex problems and its effectiveness in seeking optimal solutions in the field of linear programming, being a fundamental tool in operations research and optimization methods.
