I’ve been keeping track of AI since the early 1970s when I read a book, “The Sciences of the Artificial” by Herbert A. Simon, ...

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 ...

Optimization Theory is a branch of mathematics devoted to solving optimization problems…where we want to minimize or maximize the function value. These types of problems are found numerously in ...

Abstract: We propose a linear programming method that is based on active-set changes and proximal-point iterations. The method solves a sequence of least-distance problems using a warm-started ...

This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical ...

This program is written for MATLAB. When you want to solve a LP problem, you just need to rewrite the file "init.m". You need to know that this program can just calculate the Standard Form, so please ...

A new variant of the Adaptive Method (AM) of Gabasov is presented, to minimize the computation time. Unlike the original method and its some variants, we need not to compute the inverse of the basic ...

Two existing methods for solving a class of fuzzy linear programming (FLP) problems involving symmetric trapezoidal fuzzy numbers without converting them to crisp linear programming problems are the ...

Abstract: A global convergent algorithm is proposed to solve bilevel linear fractional-linear programming, which is a special class of bilevel programming. In our algorithm, replacing the lower level ...