Edward Rothberg is CEO and Co-Founder of Gurobi Optimization, which produces one of the world’s fastest mathematical optimization solvers. As the great William Shakespeare once wrote, "What’s in a ...

Mathematical programming with vanishing constraints (MPVC) represents a challenging class of optimisation problems where certain constraints become inactive—or “vanish”—depending on specific ...

Computer programs to solve linear programming problems by the simplex method have existed since the early 1950s. They remain the central feature of today's mathematical programming systems. There has ...

A next-gen Lagrange-Newton solver for nonconvex constrained optimization. Unifies barrier and SQP methods in a generic way, and implements various globalization flavors (line search/trust region and ...

Abstract: Large-scale discrete optimization problems are difficult to solve, especially when different kinds of real constraints are considered. Conventionally, standard mathematical programming is a ...

In this article I intend to present programming as a mathematical activity without undertaking the arduous task of supplying a definition of "mathematics" pleasing all mathematicians, nor of defining ...

Abstract: This paper considers the hybrid flow shop scheduling problem, where jobs are processed in $m$ stages with the same route of the stage. Each stage has ...

The Journal of the Operational Research Society, Vol. 50, No. 6 (Jun., 1999), pp. 581-595 (15 pages) This paper is aimed at researchers and practitioners in ...

1 Steven L. Craig School of Business, Missouri Western State University, St. Joseph, Missouri, USA. 2 Department of Industrial, Manufacturing, & Systems Engineering, University of Texas at Arlington, ...