Abstract: A new solution strategy, utilizing ramp functions, is proposed for solving LP problems arising in Model Predictive Control. The solution strategy can take a general LP formulation, and ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Complex organizational problems and chaos are silent killers of productivity and innovation. In today’s fractured work environment, they are more prevalent than ever. Political transitions, ...

This repository contains a collection of prototype linear programming (LP) applications that implement specific algorithms I learned in college. The purpose is to demonstrate that these mathematical ...

Abstract: A new implementation of the Simplex method for solving linear programming problems is developed, and its application for solving MPC problems with linear objective functions is described. A ...

Do you ever wonder why you come up with some of your best ideas in the shower? What about when you are just about to fall asleep? Or maybe when you are going out for a walk on your own? There is a ...