The simplex method is an optimization technique used to find the best solution for linear programming problems with multiple constraints. It iteratively moves from one corner point to another to reach ...

Now, linear programming, or LP as we like to call it, is quite a handy mathematical tool. It helps optimize a goal, which we call an objective function, while keeping in mind some linear constraints ...

phase 2 – progression: move from one vertex to a neighbouring vertex to increase the objective function F (or detect a non-major objective function F). The terminology of the simplex method comes from ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...