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 ...

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 ...

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: 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 ...

An operations research technique that solves problems in which an optimal value is sought subject to specified constraints. Mathematical programming models include linear programming, quadratic ...