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ABSTRACT: Traditional linear program (LP) models are deterministic. The way that constraint limit uncertainty is handled is to compute the range of feasibility. After the optimal solution is obtained, ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

An 80-year-old problem concerning the simplex method, known as the mathematics of optimization, was recently solved. Getty Images In the movie 'Good Will Hunting,' the protagonist, a janitor at the ...

Introduction: In unsupervised learning, data clustering is essential. However, many current algorithms have issues like early convergence, inadequate local search capabilities, and trouble processing ...

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 ...

Abstract: The simplex method, as proposed by Dantzig in 1947, is a widely-used practical algorithm for solving Linear Programs (LPs)—systems of linear inequalities headed by a single linear objective ...

In four new studies, researchers found complicated results from experiments on Facebook’s and Instagram’s algorithms, suggesting there was no silver bullet to fixing the platforms. By Mike Isaac and ...